1

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

2

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

3

Calculation of Acceleration factor by Arrhenius equation

Acceleration factor,Arrhenius equation,Accelerated test temperature,Practical use temperature,Activation energy,Boltzmann constant,Aging Term.

4

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

5

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

6

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

7

Calculation of Absorbed Energy on Charpy impact test,Izod impact strength test

Absorbed Energy,Charpy impact test,Izod impact strength test,Angle of fall,Angles at the end of the swing,Mass of hammer,Energy Loss,Gravitational acceleration.

8

Calculation of Wahl Stress Correction Factor

Wahl Stress Correction Factor,Mean coil diameter,Diameter of spring wire,Helical Compression Spring,Spring Index.

9

Calculation of Austenitic Grain Size Number

Austenitic Grain Size Number,Number of grain per 1mm^2.

10

Calculation of Ferritic Grain Size Number

Ferritic Grain Size Number,Number of grain per 25mm^2.

11

Calculation of Carbon Equivalent

Carbon Equivalent , Carbon Equivalent Value , Carbon , Manganese , Silica , Nickel , Chromium , Molybdenum , Vanadium , Copper , Japanese Industrial Standards , International Organization for Standardization.

12

Calculation of Weld Crack Sensitivity Composition

Weld Crack Sensitivity Composition , Carbon , Manganese , Silica , Nickel , Chromium , Molybdenum , Vanadium , Copper , Japanese Industrial Standards , International Organization for Standardization , Boron

13

Calculation of Crack Sensitivity Equation for Galvanizing

Crack Sensitivity Equation for Galvanizing , Carbon , Manganese , Silica , Nickel , Chromium , Molybdenum , Vanadium , Copper , Japanese Industrial Standards , International Organization for Standardization , Boron

14

Calculation of Schedule Number of Carbon steel pipes

Schedule Number,Carbon steel pipes,Nominal wall thickness,Outside diameter of pipe,Wall thickness tolerance,Corrosion Allowance,Internal pressure,Allowable stress.

15

Calculation of Vickers hardness

Vickers hardness,diagonal length of dent,Test force.

16

Calculation of Brinell hardness

Brinell hardness,diagonal length of dent,Test force.

17

Calculation of Knoop hardness

Knoop hardness,diagonal length of dent,Test force,Microscope.

18

Calculation of Ultralow loaded hardness test

Method for ultralow loaded hardness test,Berkovich indenter,Triangular pyramid,Test force.

19

Calculation of Rating Number：Salt Spray Testing

Methods of salt spray testing,Corroded Area,Rating number.

20

Calculation of Loss Factor on Damped Free Vibration by attenuation method

Loss Factor,Damped Free Vibration,Response displacement or velocity,Amplitude,Frequency,Phase,Damping factor.

21

Calculation of Response Potential by Nernst equation

Response Potential,Nernst equation,Standard electrode potential,Molar gas constant,Temperature,Valence of ion,Faraday constant,Reaction quotient,

22

Calculation of Cherenkov radiation：Cone angle

Cherenkov radiation,Cone angle,Speed of light in vacuum,Refraction index of medium,Speed of particle.

23

Calculation of Thickness of Grown Oxide Film

Growth of oxide film,Ambient temperature,Aging Term,Activation energy,Boltzmann constant.

24

Calculation of Leakage volume of water throuch Crack

Concrete,Crack,Leakage,Hydraulic head,Viscosity coefficient,Density,water.

25

Calculation of Carbonation Prediction of Concrete by HAMADA formula

Carbonation prediction,concrete,cement,HAMADA Equation,Water/Cement weight ratio.

26

Calculation of Water weight in the wetly soil above ground water

Degree of Saturation,wetly soil,ground water,Void ratio,Volume of Void,Volume of Soil Particles,Unit weight of Water.

27

Calculation of Carbonation Prediction of Concrete by KISHITANI formula

Carbonation prediction,concrete,cement,KISHITANI Equation,Water/Cement weight ratio.

28

Prediction of Chloride Ion Penetration in Concrete

Prediction of Chloride Ion Penetration in Concrete,Water/Cement weight ratio,Chloride Ion Content on the Concrete Surface,Initial Chloride Ion Content inside Concrete,Depth from Concrete Surface to Rebar,Age of Concrete,Error Function,Hastings Approximation.

29

Calculation of Electrostatic Force by Coulomb’’s Law

Coulomb’’s Law,Electrostatic force,Charge,Distance between two charges,Permittivity.

30

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamSimple beamTwo concentrated Loads in opposite directions

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Two concentrated Loads in opposite directions.

31

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamSimple beamPartial uniformly distributed load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Partial uniformly distributed load.

32

Calculation of Probability by Poisson Distribution

Number of elements in Population,Number of incidence in Population,Number of elements in Sample,Occurrence,Probability,Event Probabilities,Expected Value of Occurrence.

33

Calculation of Absolute Temperature,Saturated vapor pressure(Ice at t＜0℃),Saturation humidity ratio＆ Drybulb temperatureAbsolute humidity of saturated air Graph

Sonntag Equation,Absolute Temperature,Saturated vapor pressure of water or ice,Absolute humidity of saturated air,drybulb temperatureAbsolute humidity of saturated air Graph.

34

Calculation of Water weight in the wetly soil above ground water

Degree of Saturation,wetly soil,ground water,Void ratio,Volume of Void,Volume of Soil Particles,Unit weight of Water.

35

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite lengthConcentrated Load at an arbitrary position

Structural Mechanics,Beam on the Elastic Foundation,Finite length,Concentrated Load,Arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

36

Calculation of Seismic Force to Building Equipment:Non Tank

Earthquake,Seismic Force,Building Equipment,Earthquake resistant,gravity center,anchor bolt,Horizontal seismic coefficient,Seismic acceleration,Seismic design horizontal strength,Seismic design vertical strength,Pullout force,Shear force.

37

Calculation of Length of Shadow

Solar Declination,Equation of Time,Solar hour angle,Solar elevation,Solar azimuth,Length of Shadow,Azimuth of Shadow,Vertical Length,Horizontal length.

38

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamUniformly Distributed Load at intermediate part of beam.

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Uniformly Distributed Load at intermediate part of beam.

39

Calculation of European Option Pricing by Garman and Kohlhagen model(an extension BlackScholes model)

European Option Pricing,Garman and Kohlhagen model,an extension BlackScholes model,Cumulative density function,Underlying Stock Price,Strike price,Time to maturity,Risk free rate of interest,Implied volatility,Rate of dividend,call,put.

40

Calculation of Encounter Probability/Return Period

Return Period,Encounter Probability.

41

Calculation of Solar Declination,Equation of Time,Solar elevation and Solar azimuth

Latitude,Longitude,Principal Meridian,Number of days elapsed,Solar Declination,Equation of Time,Solar hour angle,Solar elevation,Solar azimuth.

42

Calculation of Absolute Temperature,Saturated Vapor Pressure(Supercooled Water at t＜0℃),Saturation Humidity Ratio ＆ Drybulb temperatureAbsolute humidity of Saturated Air Graph

Sonntag Equation,Absolute Temperature,Saturated vapor pressure of water or Supercooled Water,Absolute humidity of saturated air,drybulb temperatureAbsolute humidity of saturated air Graph.

43

Calculation of Absolute Temperature,Saturated Vapor Pressure(Supercooled Water at t＜0℃),Saturation Humidity Ratio ＆ Drybulb temperatureSaturated vapor pressure Graph

Sonntag Equation,Absolute Temperature,Saturated vapor pressure of water or Supercooled Water,Absolute humidity of saturated air,drybulb temperatureSaturated vapor pressure Graph.

44

Calculation of Absolute Temperature,Saturated Vapor Pressure(Ice at t＜0℃),Saturation humidity ratio ＆ Drybulb temperatureSaturated Vapor Pressure Graph

Sonntag Equation,Absolute Temperature,Saturated vapor pressure of water or ice,Absolute humidity of saturated air,drybulb temperatureSaturated vapor pressure Graph.

45

Calculation of Absolute Temperature,Vapor Pressure(Supercooled Water at t＜0℃),Absolute humidity,Specific Volume,Specific Heat at Constant Volume,Specific Heat at Constant Pressure,Specific Enthalpy ＆ Drybulb temperatureSpecific Enthalpy Graph

Absolute Temperature,Vapor Pressure(Supercooled Water at t＜0℃),Absolute humidity,Specific Volume,Specific Heat at Constant Volume,Specific Heat at Constant Pressure,Specific Enthalpy＆ Drybulb temperatureSpecific Enthalpy Graph.

46

Calculation of Absolute Temperature,Vapor Pressure(Ice at t＜0℃),Absolute humidity,Specific Volume,Specific Heat at Constant Volume,Specific Heat at Constant Pressure,Specific Enthalpy ＆ Drybulb temperatureSpecific Enthalpy Graph

Absolute Temperature,Vapor Pressure(Ice at t＜0℃),Absolute humidity,Specific Volume,Specific Heat at Constant Volume,Specific Heat at Constant Pressure,Specific Enthalpy＆ Drybulb temperatureSpecific Enthalpy Graph.

47

Calculation of thermal movement in various building material in case of Butt Joint

Working joint,thermal movement,building material,Butt Joint,Solar absorptance rate,Thermal expansion coefficient,Effective temperature difference.

48

Calculation of Reliability based on a single Weibull distribution

Reliability engineering、Weibull distribution、shape parameter、spread parameter、location parameter、Probability density function、Failure rate、Degree of reliability、Early failure period、Random failure period、Wearout failure period.

49

Calculation of Response displacement,Response acceleration and Response velocity of Single degree of freedom system

Newmark、Seismic acceleration、Response displacement、Response acceleration、Response velocity、Damping ratio、Natural period、Single degree of freedom system、Equation of oscillation、Equation of vibration.

50

Calculation of State Value of Air

Water vapor pressure of saturated air Dry bulb temperature Wet bulb temperature Absolute Temperature Absolute humidity Specific Enthalpy Water vapor pressure Relative humidity Saturation Specific Volume WexlerHyland formula,Standard Atmosphere.

51

Calculation of Total Necessary Power for Icemaking/Watercooling

Temperature of Water,Quantity of Water,Target Temperature of Ice,Specific Heat of Water,Melting Heat of Ice,Specific Heat of Ice,Heat Inflow from Outside,Cooling Time,Icemaking Capacity.

52

Calculation of sound absorption coefficients in a reverberation room based on 「JIS A 1409:1998」

sound absorption coefficients,reverberation room,JIS A 1409:1998,Damping Coefficients,Temperature,Absolute Temperature,Vapor Molar Concentration,Relative Humidity,Sound velocity,Constant number K.

53

Calculation of Reverberation Time by EyringKnudsen formula in acoustical space

Temperature,Frequency,Relative humidity,Room volume,Room area,Sound absorption coefficient,Attenuation coefficient,Sound velocity,Constant K,Reverberation Time,EyringKnudsen formula,acoustical space.

54

Calculation of Amplification at Surface Ground In TwoLayered Soil

SURFACE LAYER,ENGINEERING BEDROCK,Swave velocity,Density,Thickness,Damping factor,Predominant Frequency,Predominant Period,Angular Velocity,Shear Modulus,Impedance Ratio,Amplitude Ratio.

55

Calculation of Spectral Radiant Exitance from Building Materials

Temperature,Wavelength,Emissivity ration of material,Planck constant,Speed of light in vacuum,Boltzmann constant,Black body,Gray body approximation,Wien’’s displacement constant,Stefan Boltzmann constant,Spectral Radiant Exitance,Spectral Radiance,Radiant exitance,Peak Wavelength.

56

Calculation of Threephase Voltage Imbalance Ratio

Three phase Voltage Imbalance Ratio,Line Voltage,Positive Sequence Voltage,Negative Sequence Voltage,Zero Sequence Voltage.

57

Calculation of Movement of Electrons in Electromagnetic field

Electromagnetic field,Voltage,Magnetic Flux Density,Cycloid,Electron Mass,Elementary Charge,Location of Electron,Frequencies of Cyclotron.

58

Calculation of Current density based on RichardsonDushman equation

Current density,RichardsonDushman equation,work function,Electron Mass,Elementary Charge,Planck constant,Boltzmann constant,Dirac’’s constant,reduced Planck constant.

59

Calculation of Amplitude of Velocity and Acceleration in case of Simple harmonic motion

Frequency,Displacement,Velocity,Acceleration,Amplitude,Uniform circular motion,Simple harmonic motion,angular velocity.

60

Calculation of Terminal Settling Velocity in sedimentation tank

Terminal Settling Velocity,Sedimentation tank,Density,Sand,Water,Diameter,Sand particle,Viscosity coefficient,Stokes,Allens,Newton,Reynolds number,laminar flow region,Turbulent flow region.

61

Calculation of Damping constant in case of Damped free vibration

Damped free vibration,Underdamping,Damping constant,Damped natural frequency,Undamped natural frequency,Initial displacement,Initial velocity,Natural period.

62

Calculation of Vibration Transmissibility of force.Elastic Support,SDOF,No damping

Vibration Transmissibility,Vibration frequency,Exciting Force,Spring constant,Single Degree of Freedom system,Elastic Support,vibration absorption,vibration control,vibration insulation.

63

Calculation of Vibration Transmissibility of Displacement.Elastic Support,SDOF,Damping

Vibration Transmissibility,Vibration frequency,Displacement,Spring constant,Single Degree of Freedom system,Elastic Support,vibration absorption,vibration control,vibration insulation,Damping,Viscous Damping Coefficient.

64

Calculation of Peak Acceleration,Peak Velocity and Peak Displacement by Annaka･Yamazaki･Katahira Formula(1997)

Earthquake,Peak Acceleration,Peak Velocity,Peak Displacement,Magnitude,Earthquake Focal Depth,Hypocentral Distance,Minimum Hypocentral Distance,Equivalent Hypocentral Distance,Attenuation equation,JMA87 type.

65

Calculation of CrossSectional Average Velocity by Manning formula

Manning formula,GaucklerStrickler formula,crosssectional average velocity,Manning coefficient of roughness,hydraulic radius,slope of the water surface or the linear hydraulic head loss,wetted perimeter.

66

Calculation of CrossSectional Average Velocity by Manning formulaCircular cross section

Manning formula,GaucklerStrickler formula,crosssectional average velocity,Manning coefficient of roughness,hydraulic radius,slope of the water surface or the linear hydraulic head loss,wetted perimeter,Circular cross section.

67

Calculation of Friction Factor by ColebrookWhite,Blasius,PlandtlKarman & Moody Diagram

Friction Factor,Moody Diagram,ColebrookWhite equation,Blasius,PlandtlKarman,Laminar flow,Turbulent flow,Nikuradse.

68

Calculation of Boiler Point of Water by Approximation Formula

Water,Boiling Point,Pressure,kPa,kN/m2,atm,torr,Approximation Formula.

69

Calculation of Refraction Index of light in the air

Refraction Index,Air,Temperature,Atmospheric Pressure,Water Vapor Pressure,Observation wavelength of light.

70

Calculation of Atmospheric Refraction

Apparent Altitude,True altitude,Refraction Index of light,Air,Temperature,Atmospheric Pressure,Water Vapor Pressure,Observation wavelength of light,scale height of atmosphere.

71

Calculation of Field Intensity by BiotSavart Law

Field Intensity,BiotSavart Law,Coil Turns,Reader/Writer Antenna,Radius of Coil Turns,Current Intensity,RFID,Radio Frequency IDentification.

72

Environmental Assessment by BREEAM(Building Research Establishment’’s Environmental Assessment Method)Scheme:Offices,Type:New building,Function/Facilities:Lifts,No Escalators

Scheme:Offices,Project Type:New Building,Functions/Facilities:Lifts,FINAL BREEAM Score,Minimum BREEAM Standards,Management,Health and Wellbeing,Energy,Transport,Water,Materials,Waste,Land Use and Ecology,Pollution,Innovation.

73

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamPartial linearly distributed load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Partial linearly distributed load.

74

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamConcentrated Load at tip division of beam

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Concentrated Load at tip division of beam.

75

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamUniformly Distributed Load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Uniformly Distributed Load.

76

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamLinearly Distributed Load(increase)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Linearly Distributed Load(increase).

77

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamLinearly Distributed Load(decrease)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Linearly Distributed Load(decrease).

78

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamMoment Load at tip division of beam

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Moment Load at tip division of beam.

79

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamConcentrated Load at intermediate part of beam

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Concentrated Load at intermediate part of beam.

80

Calculation of Time Dilation by Special Theory of Relativity

Time Dilation,Special Theory of Relativity,Time Interval,observed object,observer,Relative Velocity,Speed of Light.

81

Calculation of Rate of Corrosion of Reinforcing Steel caused by Chlorid in Concrete By MORINAGA Formula

Rate of Corrosion of Reinforcing Steel,Chlorid,MORINAGA Formula,Water/Cement Weight Ratio,Salt(NaCl) Concentration of Mixing Water,Diameter of Reinforcing Bar,Temperature,Relative Humidity.

82

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamPartial linearly distributed load(Increase)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Partial linearly distributed load(Increase)

83

Environmental Assessment by BREEAM Scheme:Industrial,Type:New building,Heated Operational Area,Medium/large office space,Lifts,Vehicle delivery bays/access to warehouse,Cold storage plant and enclosures

Scheme:Industrial,Type:New building,Heated Operational Area,Medium/large office space,Lifts,Vehicle delivery bays/access to warehouse,Cold storage plant and enclosures,FINAL BREEAM Score,Minimum BREEAM Standards,Management,Health and Wellbeing,Energy,Transport,Water,Materials,Waste,Land Use and Ecology,Pollution,Innovation.

84

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamQuadratic function load.p=p0x/l(2x/l)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beamQuadratic function load.p=p0x/l(2x/l)

85

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamPartial linearly distributed load(Decrease)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Partial linearly distributed load(Decrease)

86

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamQuadratic function load.p=p0*(x/l)^2

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Quadratic function load.p=p0*(x/l)^2

87

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamCantilever beamMoment Load at arbitrary position

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Moment Load at arbitrary position

88

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamConcentrated Load in the center of beam

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Concentrated Load in the center of beam.

89

Calculation of Weight of Soil wedge. ※Retaining wall,Smooth Embankment

Weight,Soil Wedge,Retaining Wall,Unit Weight,Sliding Surface,Smooth Embankment.

90

Calculation of Weight of Soil wedge. ※Retaining wall,Eneven Embankment

Weight,Soil Wedge,Retaining Wall,Unit Weight,Sliding Surface,Eneven Embankment.

91

Calculation of Molecular Weight ＆ Periodic Table

hydrogen , helium , lithium , beryllium , boron , carbon , nitrogen , oxygen , fluorine , neon , sodium , magnesium , aluminum , silicon , phosphorus , sulfur , chlorine , argon , potassium , calcium , scandium , titanium , vanadium , chromium , manganese , iron , cobalt , nickel , copper , zinc , gallium , germanium , arsenic , selenium , bromine , krypton , rubidium , strontium , yttrium , zirconium , niobium , molybdenum , technetium , ruthenium , rhodium , palladium , silver , cadmium , indium , tin , antimony , tellurium , iodine , xenon , cesium , barium , lanthanum , cerium , praseodymium , neodymium , promethium , samarium , europium , gadolinium , terbium , dysprosium , holmium , erbium , thulium , ytterbium , lutetium , hafnium , tantalum , tungsten , rhenium , osmium , iridium , platinum , gold , mercury , thallium , lead , bismuth , polonium , astatine , radon , francium , radium , actinium , thorium , protactinium , uranium , neptunium , plutonium , americium , curium , berkelium , californium , einsteinium , fermium , mendelevium , nobelium , lawrencium , rutherfordium , dubnium , seaborgium , bohrium , hassium , meitnerium , darmstadtium , roentgenium

92

Calculation of Frequency/Wavelength of Characteristic Radiation ＆ Periodic Table

hydrogen , helium , lithium , beryllium , boron , carbon , nitrogen , oxygen , fluorine , neon , sodium , magnesium , aluminum , silicon , phosphorus , sulfur , chlorine , argon , potassium , calcium , scandium , titanium , vanadium , chromium , manganese , iron , cobalt , nickel , copper , zinc , gallium , germanium , arsenic , selenium , bromine , krypton , rubidium , strontium , yttrium , zirconium , niobium , molybdenum , technetium , ruthenium , rhodium , palladium , silver , cadmium , indium , tin , antimony , tellurium , iodine , xenon , cesium , barium , lanthanum , cerium , praseodymium , neodymium , promethium , samarium , europium , gadolinium , terbium , dysprosium , holmium , erbium , thulium , ytterbium , lutetium , hafnium , tantalum , tungsten , rhenium , osmium , iridium , platinum , gold , mercury , thallium , lead , bismuth , polonium , astatine , radon , francium , radium , actinium , thorium , protactinium , uranium , neptunium , plutonium , americium , curium , berkelium , californium , einsteinium , fermium , mendelevium , nobelium , lawrencium , rutherfordium , dubnium , seaborgium , bohrium , hassium , meitnerium , darmstadtium , roentgenium

93

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamUniformly Distributed Load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Uniformly Distributed Load.

94

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamLinearly Distributed Load(increase)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Linearly Distributed Load(increase).

95

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamMoment Load at center of beam

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Single span beam,Simple beam,Moment Load at center of beam.

96

Calculation of Weight of Soil wedge. ※Inverse TShape Cantilever Retaining wall,Eneven Embankment

Weight,Soil Wedge,Inverse TShape Cantilever Retaining wall,Unit Weight,Sliding Surface,Eneven Embankment.

97

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamQuadratic function load(Increase)

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Quadratic function load(Increase).

98

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamQuadratic function load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Quadratic function load.

99

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamSin curve load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Sin curve load.

100

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamPartial uniformly & linearly distributed load

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Partial uniformly & linearly distributed load.

101

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamMoment Load at both ends

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Moment Load at both ends.

102

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamSimple beamMoment Load at arbitrary position

Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Moment Load at arbitrary position.

103

Calculation of Water Volume Flowing in Well. Case:Unconfined groundwater,h>0m,From bottom

Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Radius of Well,Hydraulic conductivity,Free groundwater,Unconfined groundwater,pump displacement,Darcy’’s law.

104

Calculation of Water Volume Flowing in Drain. Case:RiverBed Water,Circular Drain

Water Volume Flowing in Drain,Impermeable Layer,Groundwater Level,Hydraulic conductivity,pump displacement,Darcy’’s law,Influence Radius,infiltration water,Riverbed water,Subsoil flow,Subsoil water,Underflow water,Circular Infiltration gallery water collecting drain.

105

Calculation of Water Volume Flowing in Drain. Case:RiverBed Water,Water Collecting Drain

Water Volume Flowing in Drain,Impermeable Layer,Groundwater Level,Hydraulic conductivity,pump displacement,Darcy’’s law,Influence Radius,infiltration water,Riverbed water,Subsoil flow,Subsoil water,Underflow water,Infiltration gallery water collecting drain.

106

Calculation of Water Volume Flowing in Well. Case:Confined groundwater,Kozeny Equation

Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Sidewall of well,Radius of Well,Hydraulic conductivity,Confined groundwater,pump displacement,Darcy’’s law,Inflow only from sidewall of well,Kozeny Equation,Aquiclude,Influence Radius,Penetration length,Partial Penetration.

107

Calculation of Water Volume Flowing in Well. Case:Confined groundwater,Thiem Equation

Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Sidewall of well,Radius of Well,Hydraulic conductivity,Confined groundwater,pump displacement,Darcy’’s law,Inflow only from sidewall of well,Thiem Equation,Aquiclude.

108

Calculation of Water Volume Flowing in Well. Case:Unconfined groundwater,Inflow only from sidewall of well

Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Sidewall of well,Radius of Well,Hydraulic conductivity,Free groundwater,Unconfined groundwater,pump displacement,Darcy’’s law,Inflow only from sidewall of well.

109

Calculation of Water Volume Flowing in Well. Case:Unconfined groundwater,h>0m,Bottom,Sidewall

Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Sidewall of well,Radius of Well,Hydraulic conductivity,Free groundwater,Unconfined groundwater,pump displacement,Darcy’’s law,Forchheimer equation.

110

Calculation of Magnetic susceptibility of Ferromagnetic Material by CurieWeiss Law

Ferroagnetic Susceptibility, CurieWeiss Law,Number of Magnetic Moments,g Lande gfactor,Bohr magneton,Angular momentum quantum number,Boltzmann constant,Absolute Temperature,Paramagnetic Curie Temperature.

111

Calculation of Sound Frequency by Doppler Effect

doppler effect,Temperature,Frequency of Sound Source,Speed of Sound Source,Moving away from the Observer,Moving toward the Observer,Speed of Observer,Moving away from the Source,Moving toward the Source,Observed Frequency,Wavelength,cycle.

112

Calculation of Channel Capacity by Shannon  Hartley Theorem

Channel Capacity,ShannonHartley Theorem,Total Signal Power over the Bandwidth,S,Total Noise Power over the Bandwidth,N,Bandwidth,Signal to Noise Ratio.

113

Calculation of Frequency of Electromagnetic Waves by Doppler Effect

Frequency,Electromagnetic Waves,Doppler Effect,Special Theory of Relativity,red shift,Blue shift,Speed of Light,Frequency of the Source Wave,Relative Velocity between the Source of Light and the Observer,Angle Relative to the Direction from the Observer to the Source,Wavelength,Lorentz Factor,Observed Frequency,Observed Wavelength.

114

Calculation of Activeearth Pressure on the Retaining wall.Case:Coulomb theory(MullerBreslau theory),Dead Load,Monotonous embankment surface,No cohesion

Coulomb theory,MullerBreslau theory,Internal friction angle of soil,φ,Activeearth Pressure coefficient,Retaining wall,friction angle between soil and wall,Total earth thrust,Monotonous embankment surface,No cohesion.

115

Calculation of Passiveearth Pressure on the Retaining wall.Case:Coulomb theory(MullerBreslau theory),Dead Load,Monotonous embankment surface,No cohesion

Coulomb theory,MullerBreslau theory,Internal friction angle of soil,φ,Passiveearth Pressure coefficient,Retaining wall,friction angle between soil and wall,Total earth thrust.

116

Calculation of Activeearth Pressure on the Retaining wall.Case:Coulomb theory(MullerBreslau theory),During Earthquake,Monotonous embankment surface,No cohesion

Okabe･Mononobe Equation,Coulomb theory,MullerBreslau theory,Internal friction angle of soil,φ,Activeearth Pressure coefficient,Retaining wall,friction angle between soil and wall,Total earth thrust,Monotonous embankment surface,No cohesion,During Earthquake.

117

Calculation of Passiveearth Pressure on the Retaining wall.Case:Coulomb theory(MullerBreslau theory),During Earthquake,Monotonous embankment surface,No cohesion

Okabe･Mononobe Equation,Coulomb theory,MullerBreslau theory,Internal friction angle of soil,φ,Passiveearth Pressure coefficient,Retaining wall,friction angle between soil and wall,Total earth thrust,Monotonous embankment surface,No cohesion,During Earthquake.

118

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single spanSimple beamMoment Load at tip division of beam

Structural Mechanics,Single span beam,Simple beam,Moment Load at tip division of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

119

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single spanSimple beamLinearly Distributed Load(Isosceles triangle)

Structural Mechanics,Single span beam,Simple beam,Linearly Distributed Load(Isosceles triangle),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

120

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single spanSimple beamConcentrated Load at arbitrary position

Structural Mechanics,Single span beam,Simple beam,Concentrated Load at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

121

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single spanSimple beamTwo Concentrated Load at arbitrary position

Structural Mechanics,Single span beam,Simple beam,Two Concentrated Load at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

122

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamBeams with One End Clamped and Other End Simply SupportedUniformly Distributed Load

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedUniformly Distributed Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

123

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope※Single span beamBeams with One End Clamped and Other End Simply SupportedLinearly Distributed Load(increase)

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedLinearly Distributed Load(increase),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

124

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedLinearly Distributed Load(decrease)

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedLinearly Distributed Load(decrease),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

125

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedMoment Load at tip division of beam

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedMoment Load at tip division of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

126

Calculation of Tree Weight

Diameter at the height of eye,Diameter at the base,Tree height,Coefficient decided by shape of tree stem,Unit weight of tree stem,Unit weight of soil,Shape of Root Ball.

127

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedPartial linearly distributed load(Decrease)

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedPartial linearly distributed load(Decrease),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

128

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedPartial linearly distributed load(Increase)

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedPartial linearly distributed load(Increase),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

129

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedPartial uniformly distributed load

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedPartial uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

130

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedConcentrated Load

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply SupportedConcentrated Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

131

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply SupportedMoment Load at arbitrary position

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply Supported,Moment Load at arbitrary position ,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

132

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply Supportedp=p0*(x/l)^2

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply Supported,p=p0*(x/l)^2,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

133

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with One End Clamped and Other End Simply Supportedp=p0x/l(2x/l)

Structural Mechanics,Single span beam,Beams with One End Clamped and Other End Simply Supportedp=p0x/l(2x/l),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

134

Calculation of Horizontal Distance of Falling Debris from Building

falling debris,horizontal distance,fall distance.

135

Calculation of Natural Angular Frequency of Passive Control System:Vertical Pendulum

Damper System,Passive Control,Mass Damper,Movable Mass,Vertical Pendulum,Natural_Angular_Frequency.

136

Water Property  Density,Viscosity coefficient,Dynamic viscosity coefficient, Saturated vapor pressure,Surface tension,Compressibility,Bulk modulus,Thermal conductivity

Water Property,Density,Viscosity coefficient,Dynamic viscosity coefficient,Saturated vapor pressure,Surface tension,Compressibility,Bulk modulus,Thermal conductivity.

137

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedConcentrated Load in the center of beam

Structural Mechanics,Single span beam,Beams with Both End Clamped,Concentrated Load in the center of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

138

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedUniformly distributed load

Structural Mechanics,Single span beam,Beams with Both End Clamped,uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

139

Calculation of Van der Waals equation

Van der Waals equation,Absolute Temperature,Quantity,Volume,Gas constant,Van der Waals constants,a,b,Critical Temperature,Critical Pressure,Critical volume,Pressure.

140

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedLinearly Distributed Load

Structural Mechanics,Single span beam,Beams with Both End Clamped,Linearly Distributed Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

141

Calculation of Van der Waals Constant

Van der Waals constants,a,b,Van der Waals equation,Absolute Temperature,Quantity,Volume,Gas constant,Critical Temperature,Critical Pressure,Critical volume,Pressure.

142

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedTwo concentrated Loads in opposite directions

Structural Mechanics,Single span beam,Beams with Both End Clamped,Two Concentrated Loads at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

143

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedTwo Concentrated Load at arbitrary position

Structural Mechanics,Single span beam,Beams with Both End Clamped,Two Concentrated Loads at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

144

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedConcentrated Load at arbitrary position

Structural Mechanics,Single span beam,Beams with Both End Clamped,Concentrated Load at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

145

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedLinearly Distributed Load(Isosceles triangle)

Structural Mechanics,Single span beam,Beams with Both End Clamped,Linearly Distributed Load(Isosceles triangle),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

146

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End Clampedp=p0sin(πx/l)

Structural Mechanics,Single span beam,Beams with Both End Clamped,p=p0sin(πx/l),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

147

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedMoment Load at arbitrary position

Structural Mechanics,Single span beam,Beams with Both End Clamped,Moment Load at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

148

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedPartial linearly distributed load

Structural Mechanics,Single span beam,Beams with Both End Clamped,Partial linearly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

149

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedPartial uniformly distributed load

Structural Mechanics,Single span beam,Beams with Both End Clamped,Partial uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

150

Water Density under various sorts of Pressure

Water Density,Pressure,Temperature.

151

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedSettlement of clamped support

Structural Mechanics,Single span beam,Beams with Both End Clamped,Settlement of clamped support,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

152

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End ClampedLoad in a trapezoidal shape

Structural Mechanics,Single span beam,Beams with Both End Clamped,Load in a trapezoidal shape,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

153

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeams with Both End Clampedp=p0*(x/l)^2

Structural Mechanics,Single span beam,Beams with Both End Clamped,p=p0*(x/l)^2,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

154

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBoth Ends Clampedp=4p0x/l*(1x/l)

Structural Mechanics,Single span beam,Beams with Both End Clamped,p=4p0x/l*(1x/l),Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

155

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamJetty Beam(Pendent Beam)Concentrated Load at arbitrary position

Structural Mechanics,Single span beam,Jetty Beam(Pendent Beam),Concentrated Load at arbitrary position,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

156

Calculation of Head Loss By HazenWilliams Equation

Head Loss,HazenWilliams Equation,Roughness Coefficient(C),Length of the Pipe(L),Inside Pipe Diameter(D),Volumetric Flow Rate(Q).

157

Calculation of Head Loss By DarcyWeisbach Equation

Head Loss,DarcyWeisbach Equation,Friction factor,Length of the Pipe,Hydraulic diameter,Average velocity of the fluid flow,Gravitational acceleration.

158

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamJetty Beam(Pendent Beam)Uniformly distributed load

Structural Mechanics,Single span beam,Jetty Beam(Pendent Beam),Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

159

Calculation of Head Loss of Suction Opening

Suction Opening,Average velocity of the fluid flow,Gravitational acceleration,head loss.

160

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeam with Cantilevers at Both EndsConcentrated Load at Both Ends

Structural Mechanics,Single span beam,Beam with Cantilevers at Both Ends,Concentrated Load at Both End,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

161

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamJetty Beam(Pendent Beam)Partial Uniformly distributed load

Structural Mechanics,Single span beam,Jetty Beam(Pendent Beam),Partial Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

162

Calculation of Increase in Pressure Loss Coefficient depend on Inclination of Pipe

Increase in Pressure Loss Coefficient,Inclination of Pipe,Suction Opening,Average velocity of the fluid flow,Gravitational acceleration,head loss.

163

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite lengthConcentrated Loada at the Middle of Beam

Structural Mechanics,Beam on the Elastic Foundation,Finite length,Concentrated Load at the Middle of Beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

164

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite lengthConcentrated Load

Structural Mechanics,Beam on the Elastic Foundation,Finite length,Concentrated Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

165

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeam with Cantilevers at Both EndsPartial Uniformly distributed load

Structural Mechanics,Single span beam,Beam with Cantilevers at Both Ends,Partial Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

166

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single span beamBeam with Cantilevers at Both EndsUniformly distributed load

Structural Mechanics,Single span beam,Beam with Cantilevers at Both Ends,Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

167

Calculation of Elastic Buckling Load considering Shear Deformation.※Both ends Pinned support

Elastic Buckling Load,Shear Deformation,Both ends Pinned support,Effective length factor,Young’’s modulus,Second moment of area,Elastic shear modulus.

168

Calculation of Elastic Buckling Load considering Shear Deformation.※Both ends Clamped support

Elastic Buckling Load,Shear Deformation,Both ends Clamped support,Effective length factor,Young’’s modulus,Second moment of area,Elastic shear modulus.

169

Calculation of Head Loss of Sudden Enlargement Pipe

Loss due to the sudden Enlargement of cross section of a stream,Pipe,Pressure Loss,head loss,Mean velocity immediately before the change of section,Gravitational acceleration.

170

Calculation of Elastic Buckling Load considering Shear Deformation.※Constant Cross Section,One End Clamped and Other End Pinned support

Elastic Buckling Load,Shear Deformation,One End Clamped and Other End Pinned support,Effective length factor,Young’’s modulus,Second moment of area,Elastic shear modulus.

171

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite lengthPartial uniformly distributed load

Structural Mechanics,Beam on the Elastic Foundation,Finite length,Partial uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

172

Calculation of Pressure of Gas By Berthelot’’s Equation of State

Van der Waals equation,Absolute Temperature,Quantity,Volume,Gas constant,Van der Waals constants,a,b,Critical Temperature,Critical Pressure,Critical volume,Pressure.

173

Calculation of Head Loss of Enlargement Pipe with a Gradually Increasing CrossSection.Case:Circular Pipe with Uniformly Diverging Boundaries

Enlargement Pipe with a Gradually Increasing CrossSection,Circular Pipe with Uniformly Diverging Boundaries,Pipe,Pressure Loss,head loss,Mean velocity immediately before the change of section,Gravitational acceleration.

174

Calculation of Redlichkwong Equation

Redlichkwong Equation,Absolute Temperature,Quantity,Volume,Gas constant,Critical Temperature,Critical Pressure,Pressure.

175

Calculation of Elastic Buckling Load considering Shear Deformation.※One End Clamped and Other End Roller support

Elastic Buckling Load,Shear Deformation,One End Clamped and Other End Roller support,Effective length factor,Young’’s modulus,Second moment of area,Elastic shear modulus.

176

Calculation of Snow Loads for Building Design※Calculation for not doing the maintenance by clearing away snow

Snow Loads,Local Meteorological Observatory,Roof Shape Confficient,Unbalanced Distributed Snow Loads,Drifted Snow,Roof Snow Slipping,Ambient Environment Confficient,Return Period,Ground Snow Depth,Estimated Annual Maximum Snow Depth,Equivalent Snow Density,Ground Snow Load,Gumbel Distribution.

177

Calculation of BenedictWebbRubin Equation of State

BenedictWebbRubin Equation,Absolute Temperature,Quantity,mol,Volume,Gas constant.

178

Calculation of Dieterici Equation of State

Dieterici Equation of state,Absolute Temperature,Quantity,Volume,Gas constant,Critical Temperature,Critical Pressure,Pressure.

179

Calculation of Head Loss at Pipe Elbow

Head Loss at Pipe Elbow,Diameter,Radius of curvature,Mean velocity,Angle of Bend,Reynolds number.

180

Calculation of Head Loss at Bend Entry

Head Loss at Bend Entry,Diameter,Radius of curvature,Mean velocity,Angle of Bend,Reynolds number.

181

Calculation of Shear Coefficient.※Circle Cross Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Circle.

182

Calculation of Probability Density Function and Cumulative Distribution Function※Normal distribution(Gaussian distribution)

Probability Density Function,PDF,Cumulative Distribution Function,CDF,Normal distribution,Gaussian distribution,Mean,Standard deviation.

183

Calculation of Shear Coefficient.※Hollow Circle Cross Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Hollow Circle.

184

Calculation of Shear Coefficient.※ThinWalled ISection Cross Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,ThinWalled ISection.

185

Calculation of Probability Density Function and Cumulative Distribution Function※Log Normal distribution

Probability Density Function,PDF,Cumulative Distribution Function,CDF,Log Normal distribution,Gaussian distribution,Mean,Standard deviation,Error function.

186

Calculation of Shear Coefficient.※Rectangle Cross Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Rectangle.

187

Calculation of Probability Density Function and Cumulative Distribution Function※Chisquare distribution

Probability Density Function,PDF,Cumulative Distribution Function,CDF,Chisquare distribution,Gamma function,Upper incomplete gamma function,Lower incomplete gamma function,Error function.

188

Calculation of Gamma Function

Gamma function,Euler’’s reflection formula,Gaussian integral,Approximation,Hastings,Factorial,Real number,Natural number.

189

Calculation of Shear Coefficient.※Ellipse Cross Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Ellipse.

190

Calculation of Probability Mass Function and Cumulative Distribution Function※Hypergeometric distribution

Probability Mass Function,PMF,Cumulative Distribution Function,CDF,Hypergeometric distribution,Binomial coefficient.

191

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite lengthMoment Load at tip division of beam

Structural Mechanics,Beam on the Elastic Foundation,Finite length,Moment Load at tip division of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

192

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Clamped Support)Concentrated Load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Clamped Support),Concentrated Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

193

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Pin Support)Moment Load at Both ends

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Pin Support),Moment Load at Both ends.,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

194

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Pin Support)Moment Load at tip division of beam

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Pin Support),Moment Load at tip division of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

195

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Pin Support)Uniformly distributed load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Pin Support),Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

196

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Pin Support)Concentrated Load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Pin Support),Concentrated Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

197

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Clamped ＆ Free)Uniformly Distributed Load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Clamped ＆ Free),Uniformly Distributed Load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

198

Calculation of Posterior probability by Bayesian inference.※Prior probability distribution:Uniform distribution

Prior probability,Posterior probability,Bayesian inference,binomial parameter,binomial experiment,uniform distribution.

199

Calculation of Seismic Moment and Japanses Local Magnitude.Case: Intraplate Earthquake,Macroscopic Parameter,Specify the Length of Active Fault

Thickness of Seismogenic Zone,Angle of Inclination,Width of Fault,Length of Fault,Japanses local magnitude(M),Seismic moment,shallow crustal,Crustal Earthquake,Intraplate earthquakes,Macroscopic Parameter,Specify the length of Active Fault.

200

Calculation of Seismic Moment and Japanses Local Magnitude.Case: Intraplate Earthquake,Macroscopic Parameter,Specify the Fault

Thickness of Seismogenic Zone,Angle of Inclination,Width of Fault,Length of Fault,Japanses local magnitude(M),Seismic moment,shallow crustal,Crustal Earthquake,Intraplate earthquakes,Macroscopic Parameter,Specify the Fault.

201

Calculation of Seismic Moment and Japanses Local Magnitude.Case: Intraplate Earthquake,Microscopic Parameter

Microscopic Parameter,Seismic Moment,Swave velocity,Area of Fault,Equivalent Radius of Source fault,Short Period Level of the Acceleration Source Spectrum,Equivalent Radius of Asperities,Total Area of Asperities,asperity.

202

Graph of Carbon Market:Values and Volumes※In the Allowance based Market

EU ETS,EU Emissions Trading Scheme,New South Wales,New South Wales Greenhouse Gas Abatement Scheme,Chicago Climate Exchange,CCX,Chicago Climate Exchange,Regional Greenhouse Gas Initiative,RGGI,Regional Greenhouse Gas Initiative,AAUs,Assigned Amount Units.

203

Calculation of Seismic Moment.Case:SubductionZone Plate Earthquake,Macroscopic Parameter

SubductionZone Plate Earthquake,Macroscopic Parameter,Seismic Moment,Area of Fault,Average Stress Drop.

204

Calculation of Total Area of Asperities and Short Period Level of the Acceleration Source Spectrum.Case:Intraslab Earthquake,Microscopic Parameter

Intraslab Earthquake,Microscopic Parameter,Seismic Moment,Area of Fault,Total Area of Asperities,Short Period Level of the Acceleration Source Spectrum.

205

Calculation of Envelope Model.Case:Jennings’’s Model,Acceleration Waveform,SWave,Horizontal Ground Motions

Envelope Model,Jennings’’s model,Acceleration Waveform,SWave,Horizontal Ground Motions,Corner Frequency,Earthquake.

206

Calculation of Envelope Model.Case:Boore’’s Model,Acceleration Waveform,SWave,Horizontal Ground Motions

Envelope Model,Boore’’s model,Acceleration Waveform,SWave,Horizontal Ground Motions,Corner Frequency,Earthquake.

207

Calculation of Envelope Model.Case:Satoh’’s Model,Acceleration Waveform,SWave,Horizontal Ground Motions

Envelope Model,Satoh’’s model,Acceleration Waveform,SWave,Horizontal Ground Motions,Corner Frequency,Earthquake,Attenuation.

208

Calculation of Sigmoid function,Derivative and SecondOrder Derivative

Sigmoid function,Derivative,SecondOrder Derivative,Gain.

209

Calculation of Shear Coefficient.※Cross Section:SemiCircle

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Semicircle.

210

Calculation of Shear Coefficient.※Cross Section:ThinWalled Round Tube

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,ThinWalled Round Tube.

211

Calculation of Compton scattering

Compton scattering,Planck’’s constant,Electron mass,Speed of light,Scattering angle.

212

Calculation of Fourier Acceleration Spectra by statistical green’’s functions.※At the Upper Boundary of Seismic Bedrock,Shear waves

Statistical green’’s functions,Fourier Acceleration Spectra,Radiation Pattern,Amplitude on the free surface,PRTITN,Density of Seismic bedrock,SWave Velocity of Seismic bedrock,Corner Frequency,Cutoff Frequency,Hypocenter Distance,Seismic Moment,Quality factor.

213

Calculation of Nuclear Decay.Number of Nucleus,Radioactive halflife and Average life

Nuclear Decay Constant,Number of Nucleus,Radioactive halflife,Average life.

214

Calculation of Binding Energy by SemiEmpirical Mass Formula.※Liquid drop model

Binding Energy,SemiEmpirical Mass Formula,Number of Neutron,Number of Proton,Mass Number,Volume term,Surface term,Coulomb term,Asymmetry term,Pairing term,Liquid drop model.

215

Calculation of Roche limit.Case:Rigid satellite

Roche Limit,The density of the Primary,The density of the Satellite,The radius of the Primary,Rigid satellite.

216

Calculation of Roche limit.Case:Fluid satellite

Roche Limit,The density of the Primary,The density of the Satellite,The radius of the Primary,Fluid satellite.

217

Calculation of Maxwell Boltzmann Distribution※Distribution for the speed

Maxwell Boltzmann distribution,Probability density function,Cumulative distribution function,Mass of the particle,Equilibrium temperature,Velocity of the particle,Boltzmann constant.

218

Calculation of Maxwell Boltzmann Distribution※Distribution for the energy

Maxwell Boltzmann distribution,Probability density function,Cumulative distribution function,Mass of the particle,Equilibrium temperature,Velocity of the particle,Boltzmann constant.

219

Calculation of alphaparticle range by GeigerNuttall law

GeigerNuttall law,Nuclear Decay Constant,disintegration constant,alpha particle emission,alphaparticle range.

220

Calculation of Eddington luminosity

Eddington luminosity,Eddington limit,Newtonian constant of gravitation,solar mass,proton,Speed of light,Thomson Cross Section.

221

Calculation of Perimeter and Area of Ellipse

Ellipse,Complete elliptic integral of the second kind,Perimeter,Area,Long radius,Short radius.

222

Calculation of Mean Free Path.※Case:Gas Solid Spherical Particles which follow Maxwell Boltzmann Distribution

Mean Free Path,Transport Property,Diameter of Molecule,Density of Particle,Maxwell Boltzmann Distribution,Ideal Gas,Solid Spherical Particles.

223

Calculation of Probability about Moving Distance of Particle in a Straight Line without Collision

Probability,Moving Distance of Particle in a Straight Line without Collision,Mean Free Path,Transport Property.

224

Calculation of Ignition Time

Ignition Time,Total heat transfer coefficient,Ignition Temperature,Ambient Temperature,Fraction of absorbed radiation,Emissivity Ratio of Material,Incident Heat Flux,Thermal conductivity,Density,Specific Heat Capacity of Material.

225

Calculation of Dynamical Time and Free Fall time.※Homogeneous Sphere

Homogeneous Sphere,Newtonian constant of gravitation,Mean Density,Orbital Period,Dynamical Time,Free Fall Time.

226

Calculation of Natural Frequency in Flame Shape.※Case:Turbulent Diffusion Flames

Natural Frequency,Flame Shape,Turbulent Diffusion Flames,Diameter of Fire Source,Gravity Acceleration.

227

Calculation of Maximum Amplitude Ratio of Velocity from Engineering Bedrock to surface

Average SWave Velocity,Surface Layer,Maximum Amplitude Ratio of Velocity,Engineering Bedrock.

228

Calculation of Comparison Result about Peak Horizontal Acceleration(AH) by Attenuation Relationships.※When the Attenuation Relationship is used, it is necessary to recognize each limit of application enough

Peak Horizontal Acceleration,Attenuation Relationships,Fault Distance,Equivalent Hypocentral Distance,Focal Depth,Japanses local magnitude,Moment magnitude.

229

Calculation of Peak Horizontal Acceleration(AH) by Attenuation Relationships.※When the Attenuation Relationship is used, it is necessary to recognize each limit of application enough

Peak Horizontal Acceleration,Attenuation Relationships,Fault Distance,Equivalent Hypocentral Distance,Focal Depth,Japanses local magnitude,Moment magnitude.

230

Calculation of Probability of Correlation Coefficient

Correlation Coefficient,Error analysis,Probability,Noise,Accuracy,Error.

231

Calculation of Fermi Dirac and Bose Einstein distribution function

Fermi Dirac distribution function,Bose Einstein distribution function,Boltzmann constant,Chemical potential,Fermi energy.

232

Calculation of Fourier Amplitude Spectrum by Fast Fourier transform

Fourier Amplitude Spectrum,Fast Fourier transform,complex numbers,real number,Imaginary number.

233

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Clamped Support)Concentrated Load at tip division of beam

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Clamped Support),Concentrated Load at tip division of beam,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

234

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Beam on the Elastic FoundationFinite length(Both End Clamped)Uniformly distributed load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Both End Clamped),Uniformly distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

235

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.Beam on the Elastic FoundationFinite length(Cantilever)Triangular distributed load

Structural Mechanics,Beam on the Elastic Foundation,Finite length(Cantilever),Triangular distributed load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress.

236

Calculation of Direct Illuminance※Case:Point Light Source

Direct Illuminance,Point Light Source,Luminous intensity.

237

Calculation of Direct Illuminance※Case:Cylindrical Light Source that the radius is small enough compared with length

Direct Illuminance,Cylindrical Light Source,Luminous intensity.

238

Calculation of Direct Illuminance※Case:Flat String Shaped Light Source that the width is small enough compared with length

Direct Illuminance,Flat String Shaped Light Source,Luminous intensity.

239

Calculation of Visual Acuity by Landolt Ring

Visual Acuity,Landolt Ring.

240

Calculation of Variation of Visual Acuity by Intensity of Background Luminance or Adaptation Luminance

Visual Acuity,Background Luminance,Adaptation Luminance,Visual Angle,Landolt Ring.

241

Calculation of Variation of Visual Acuity and Resolvable Visual Angle by Luminance Consrast and Background Luminance(Adaptation Luminance)

Visual Acuity,Background Luminance,Adaptation Luminance,Resolvable Visual Angle,Landolt Ring,Threshold Background Luminance,Threshold Luminance Contrast.

242

Graph of Threshold Limit Values(8hour) for Ultraviolet Radiation.※It is necessary to understand the documentation of ACGHI well before data and the numerical result are used

Threshold Limit Values,Ultraviolet Radiation,UVC,UVB,Wavelength,hazardous,Effective Radiant Emittance,Limit Exposure Time.

243

Graph of Dark Adaptation Time on Various Adapting Luminance

Dark Adaptation Time,Threshold Luminance,Adaptation Luminance,Photons,trolands.

244

Calculation of Direct Illuminance※Case:Rectangle Shaped Light Source

Direct Illuminance,Rectangle Shaped Light Source,Luminous intensity.

245

Graph of The Standard Luminosity Function of Both Photopic V(λ) and Scotopic V’’(λ)

The Standard Luminosity Function,Photopic,Scotopic,Wavelength.

246

Calculation of Direct Illuminance※Case:Circular Plate Shaped Light Source

Direct Illuminance,Circular Plate Shaped Light Source,Luminous intensity.

247

Calculation of Direct Illuminance※Case:Spherical Surface Shaped Light Source

Direct Illuminance,Spherical Surface Shaped Light Source,Luminous intensity.

248

Calculation of Relativistic Mechanics of Particle

Relativistic Mechanics,Velocity of Particle,Velocity of Light,Mass of Particle,Lorentz factor,Momentum,Relativistic Energy,Relativistic Kinetic Energy.

249

Calculation of Distance Between Two Points on the Earth(Ellipsoid of Revolution)

First Eccentricity,Second Eccentricity,Ellipticity,Curvature Radius of Prime Vertical,Curvature Radius of Meridian,Average Curvature Radius,Linear Distance,Sea Surface Height,Approximation of Geodetic line,3Dimension Cartesian Coordinate,Geodetic Latitude,Longitude,Geocentric Latitude.

250

Calculation of Normal Gravity Formula

Normal Gravity Formula,Geodetic Latitude,Normal Gravity in Equator,Normal Gravity in Pole,Equatorial Radius of Earth,Polar Radius of Earth.

251

Calculation of Required change in Velocity for the Hohmann Transfer

Hohmann transfer,Inner Orbital,Outer Orbital,Gravitation Constant,Required change in velocity.

252

Calculation of Ballistic Velocity,Orbit and Horizontal Range

Parabola,Ballistic Velocity,Ballistic Orbit,Ballistic Horizontal Range,Initial Velocity,Elevation Angle,Acceleration of gravity.

253

Calculation of Numerical Distance about Vertical Polarization and Horizontal Polarization for Attenuation Function of Earth to Ground Wave

Numerical Distance,Vertical Polarization,Horizontal Polarization,Attenuation Function of Earth,Ground Wave,Wavelength,Electrical Conductivity,Complex Number,Real Part,Imaginary Part,Relative Permittivity of Earth.

254

Calculation of Approximate Attenuation Function of Earth to Ground Wave

Numerical Distance,Vertical Polarization,Horizontal Polarization,Attenuation Function of Earth,Ground Wave,Wavelength.

255

Calculation of Cumulative Time Percentage in Worst Month

Cumulative Time Percentage for a year,Py,Cumulative Time Percentage in Worst Month,Pw.

256

Calculation of Fresnel zone

Fresnel zone,Fresnel Ellipsoid,Velocity of Radiowave,Wavelength,Receiving point,Transmitting point.

257

Calculation of Refractive Index

Refractive Index,Relative Permittivity,Relative Permeability,Conductivity,Frequency,Speed of Light,Vacuum permittivity,Argument.

258

Calculation of Relative Refractive Index

Relative Refractive Index,Relative Permittivity,Relative Permeability,Conductivity,Frequency,Speed of Light,Vacuum permittivity,Argument.

259

Calculation of Reflection Coefficient

Reflection Coefficient,Relative Permittivity,Relative Permeability,Conductivity,Speed of Light,Vacuum permittivity,Vacuum Permeability,argument,Transverse Magnetic Wave,Transverse Electric Wave.

260

Calculation of Electric Field Strength in Free Space Field

Electric Field Strength,Free Space Field,Gain of Transmitting Antenna,Wave Impedance ,Power of Transmitter,Vacuum Permittivity,Vacuum Permeability,Relative Permittivity of Medium,Relative Permeability of Medium.

261

Calculation of Receiving Electric Field and Height Pattern Pitch

Receiving Electric Field,Height Pattern Pitch,Incidence angle,Height of Transmitting Point,Height of Receiving Point,Distance,Difference of the Radio Path Lengthes.

262

Calculation of Free Space Loss

Free Space Loss,Frequency,Distance,Speed of Light.

263

Calculation of Specific Absorption Rate

Specific Absorption Rate,Density,Electrical Conductivity,Dielectric Material.

264

Calculation of Refractive Index and Modified Refractive Index of Atmosphere which Variable is Altitude.※Case:Middle Latitudes,Standard Atmosphere

Modified Refractive Index,Refractive Index of Atmosphere,Altitude,NU,MU.

265

Calculation of Refractive Index of Atmosphere which Variables are Atmosphere Pressure,Temperature and Partial Pressure of Water Vapor

Refractive Index of Atmosphere,Atmosphere Pressure,Temperature,Partial Pressure of Water Vapor,Refractivity,NU.

266

Graph of Relative Sunspot Number and Annual Mean Temperature Anomaly

Wolf number,Relative Sunspot Number,Annual Mean Temperature Anomaly,Over the Globe,Northern Hemisphere,Southern Hemisphere.

267

Calculation of Necessary Quantity of Anode by Galvanic Anode System.※Case:Steel Sheet Pile

Necessary Quantity of Anode,Galvanic Anode System,Steel Sheet Pile,Span of Pier,Water Depth,Corrosion Proof Paint,Protection Current Density,Initial Generated Current.

268

Calculation of Diffraction Coefficient

knife edge,Clearance Coefficient,Diffraction Loss, Fresnel Integrals,Fresnel Zone,Obstacle gain,Diffracted Wave,Direct Wave,Diffraction Coefficient,Received Power.

269

Calculation of Fresnel Integrals

Fresnel Integrals,Auxiliary Function,Rational Approximation.

270

Calculation of Refraction Index in Ionosphere

Refraction Index,lonized Gases,Ionosphere,Elementary electric charge,Electron density in Ionosphere,Electron mass,Vacuum permittivity,Collision frequency per unit of time,Radiation frequency.

271

Calculation of Rayleigh Distribution

Rayleigh Distribution,Random variable,Parameter,Probability density function,Cumulative distribution function.

272

Calculation of Schwarzschild Radius

Schwarzschild Radius,Newtonian constant of gravitation,Speed of Light in Vacuum,Mass of Celestial Object.

273

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

274

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

275

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

276

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

277

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

278

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

279

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

280

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

281

Calculation of Definite Integral

Physics Formulas,Definite Integral,Euler’‘s number,Napier’’s number.

282

Calculation of Gravitational redshift(ν∞/νr)

Gravitational Redshift,Schwarzschild Radius,Newtonian constant of gravitation,Speed of Light in Vacuum,Mass of Celestial Object.

283

Calculation of Absolute Temperature of Black Hole based on Hawking Radiation

Absolute Temperature of Black Hole,Hawking Radiation,Newtonian constant of gravitation,Speed of Light in Vacuum,Planck’’s constant,Boltzmann constant,Mass of Celestial Object.

284

Calculation of Evaporation Time of a Black Hole

Evaporation Time of a Black Hole,Hawking Radiation,Newtonian constant of gravitation,Speed of Light in Vacuum,Planck’’s constant,Boltzmann constant,Mass of Celestial Object.

285

Calculation of Window Function

Window Function,Apodization Function,Hamming Window, Hanning Window,Bartlett Window,Welch Window.

286

Calculation of Derivative

Derivative,Exponential function.

287

Calculation of Derivative

Derivative,Logarithm.

288

Calculation of Derivative

Derivative,Logarithm,Euler numbers,Napier constant.

289

Calculation of Derivative

Derivative,Exponential function.

290

Calculation of Derivative

Derivative,Sin Curve.

291

Calculation of Derivative

Derivative,Sin Curve.

292

Calculation of Derivative

Derivative,Tan Curve.

293

Calculation of Derivative

Derivative,cot Curve.

294

Calculation of Derivative

Derivative,sec curve.

295

Calculation of Derivative

Derivative,cosec curve.

296

Calculation of Derivative

Derivative,Inverse trigonometric functions,sin.

297

Calculation of Derivative

Derivative,Trigonometric function,Inverse trigonometric functions,cosine.

298

Calculation of Derivative

Derivative,Trigonometric function,Inverse trigonometric functions,tangent curve.

299

Calculation of Derivative

Derivative,Trigonometric function,Inverse trigonometric functions,Cotangent curve.

300

Calculation of Derivative

Derivative,Trigonometric function,Inverse trigonometric functions,Secant curve.

301

Calculation of Derivative

Derivative,Trigonometric function,Inverse trigonometric functions,Cosecant curve.

302

Calculation of Derivative

Derivative,hyperbolic sine curve.

303

Calculation of Derivative

Derivative,hyperbolic cosine curve.

304

Calculation of Derivative

Derivative,Hyperbolic tangent curve.

305

Calculation of Derivative

Derivative,Hyperbolic cotangent curve.

306

Calculation of Derivative

Derivative,Hyperbolic secant curve.

307

Calculation of Derivative

Derivative,Hyperbolic cosecant curve.

308

Calculation of Derivative

Derivative,Logarithm,Sine,Curve.

309

Calculation of Derivative

Derivative,Logarithm,Cosine,Curve.

310

Calculation of Derivative

Derivative,Logarithm,Tangent,Curve.

311

Calculation of Derivative

Derivative,Logarithm,Cotangent,Curve.

312

Calculation of Higher Order Derivative

Higher Order Derivative,Power function,Curve.

313

Calculation of Higher Order Derivative

Higher Order Derivative,Power function,Curve.

314

Calculation of Higher Order Derivative

Higher Order Derivative,Logarithm,Curve.

315

Calculation of Higher Order Derivative

Higher Order Derivative,sine,Curve.

316

Calculation of Higher Order Derivative

Higher Order Derivative,cosine,Curve.

317

Calculation of Elastic Collisions in Two Dimensions

Oblique elastic collisions,Two Dimensions,Relative separation angle,Final velocity,Perfectly elastic sphere.

318

Calculation of Elastic Collisions in One Dimension

Coefficient of restitution,Elastic collisions,One Dimension,Perfectly elastic sphere,Inelastic elastic sphere,Loss of kinetic Energy.

319

Calculation of Necessary Amount of the Static Capacitor(Condenser)

Static Capacitor,Condenser,Power factor,Improvement,Power,Apparent Power,Reactive Power.

320

Calculation of Transient：Resistor Inductor CircuitDC power

Transient,Resistor Inductor Circuit,DC power,Resistance,Inductance,Voltage,Time.

321

Calculation of Transient：Resistor Inductor CircuitDC powerShort circuit

Transient,Short circuit,Resistor Inductor Circuit,DC power,Resistance,Inductance,Voltage,Time.

322

Calculation of Transient：Resistor Capacitance CircuitDC power

Transient,Short circuit,Resistor Capacitance Circuit,DC power,Resistance,Voltage,Time.

323

Calculation of Transient：Resistor Capacitance CircuitDischarge

Discharge,Transient,Resistor Capacitance Circuit,DC power,Resistance,Voltage,Time.

324

Calculation of Transient：Resistor Inductor CircuitAC power

Transient,Resistor Inductor Circuit,AC power,Resistance,Voltage,Time.

325

Calculation of Transient：Resistor Capacitance CircuitAC power

Transient,Resistor Capacitance Circuit,AC power,Resistance,Voltage,Time.

326

Calculation of Transient：Resistor Capacitance Inductance CircuitDC power

Transient,Resistor Capacitance Inductance,Circuit,DC power,Resistance,Voltage,Time.

327

Calculation of Lorentz transformation：Space and Time

Lorentz transformation,Space,Time,Relative Velocities,Coordinates,Speed of light.

328

Calculation of Transient：Resistor Capacitance Inductance CircuitDischarge

Transient,Resistor Capacitance Inductance,Circuit,Discharge,Resistance,Voltage,Time.

329

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Exponential function.

330

Calculation of Gravitational Lens：Einstein Ring

Einstein radius,Gravitational Lens,Einstein Ring,Newtonian constant of gravitation,Speed of Light in Vacuum,Mass of the lens,angular diameter distance.

331

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Logarithm.

332

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Exponential function.

333

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Sine function.

334

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Cosine function.

335

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Cotangent function.

336

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Secant function.

337

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,arcsin function.

338

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,arctan function.

339

Calculation of Transient：Capacitance Inductance CircuitAC Power

Transient,Resistor Capacitance Inductance,Circuit,AC Power,Resistance,Voltage,Time.

340

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Rational function.

341

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Rational function,Logarithm.

342

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Rational function,Logarithm.

343

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Rational function.

344

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Arctangent function.

345

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Inverse Hyperbolic tangent functions.

346

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Inverse Hyperbolic cotangent functions.

347

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral.

348

Calculation of Volume(V),Surface area(A),Circumradius(Cr) and Inscribed radius(Ir) of Regular tetrahedron

Volume,Surface area,Circumradius,Inscribed radius,Regular tetrahedron.

349

Calculation of Volume(V),Surface area(A),Circumradius(Cr) and Inscribed radius(Ir) of Cube

Volume,Surface area,Circumradius,Inscribed radius,Cube.

350

Calculation of Volume(V),Surface area(A),Circumradius(Cr) and Inscribed radius(Ir) of Regular octahedron

Volume,Surface area,Circumradius,Inscribed radius,Regular octahedron.

351

Calculation of Volume(V),Surface area(A),Circumradius(Cr) and Inscribed radius(Ir) of Regular dodecahedron

Volume,Surface area,Circumradius,Inscribed radius,Regular dodecahedron.

352

Calculation of Volume(V),Surface area(A),Circumradius(Cr) and Inscribed radius(Ir) of Regular Icosahedron

Volume,Surface area,Circumradius,Inscribed radius,Regular Icosahedron.

353

Calculation of Cubic Equation

Cubic Equation. ax^3+bx^2+c*x+d=0.

354

Calculation of Stationary Solution of Forced Oscillation

Stationary Solution,Forced Oscillation,Differential equation,Attenuation factor per unit mass,Frequency for No attenuation,Forced frequency,Forced amplitude per unit mass,Resonance frequency for amplitude of displacement,Impedance per unit mass.

355

Calculation of Julian Date,Julian Century,Modified Julian Date,Greenwich Mean Sidereal Time and Local Sidereal Time

Calculation of Julian Date,Julian Century,Modified Julian Date,Greenwich Mean Sidereal Time,Local Sidereal Time.

356

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Inverse Hyperbolic tangent functions.

357

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

358

Calculation of Capacitance of Power Cable

Capacitance of Power Cable,Permittivity of Vacuum,Relative permittivity of Insulation,Finish,Insulation,Conductor,Metal Sheath,Screen.

359

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

360

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

361

Calculation of Period of Pendulum:Simple Pendulum

Physics Formulas,Period,Simple Pendulum,Length of Inextensible cord,Acceleration of Gravity,Maximum Angular Displacement.

362

Calculation of Period of Pendulum:Conical Pendulum

Physics Formulas,Period,Conical Pendulum,Length of Inextensible cord,Acceleration of Gravity,Half angle,Suspension angle.

363

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

364

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

365

Calculation of Cauchy Distribution

Physics Formulas,Cauchy Distribution.

366

Calculation of Rayleigh Probability Paper

Physics Formulas,Rayleigh Probability Paper,Cumulative distribution function.

367

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

368

Calculation of Rayleigh Scattering

Physics Formulas,Rayleigh Scattering,Intensity of the scattered light,Polarizability,Wavelength,Intensity of Incident light,Distance from scatterer,Scattering angle,Vacuum permittivity.

369

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

370

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

371

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Irrational function.

372

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

373

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

374

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

375

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

376

Calculation of Temperature in International Standard Atmosphere model by Geopotential Height

Temperature,International Standard Atmosphere,Geopotential Height,Temperature Gradient.

377

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

378

Calculation of Pressure in International Standard Atmosphere model by Geopotential Height

Pressure,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

379

Calculation of Density in International Standard Atmosphere model by Geopotential Height

Density,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

380

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

381

Calculation of Number density in International Standard Atmosphere model by Geopotential Height

Number density,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

382

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

383

Calculation of Average velocity of air particles in International Standard Atmosphere model by Geopotential Height

Average velocity of air particles,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

384

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

385

Calculation of Mean free path of air particles in International Standard Atmosphere model by Geopotential Height

Mean free path of air particles,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

386

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

387

Calculation of Collision frequency of air particles in International Standard Atmosphere model by Geopotential Height

Collision frequency of air particles,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

388

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

389

Calculation of Sound velocity in International Standard Atmosphere model by Geopotential Height

Sound velocity,International Standard Atmosphere,Geopotential Height,Temperature Gradient,Gas constant,Gravitational acceleration.

390

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

391

Calculation of Viscosity in International Standard Atmosphere model by Geopotential Height

Viscosity,International Standard Atmosphere,Geopotential Height,viscosity Gradient.

392

Calculation of Thermal conductivity in International Standard Atmosphere model by Geopotential Height

Thermal conductivity,International Standard Atmosphere,Geopotential Height,Thermal conductivity Gradient.

393

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

394

Calculation of Angular Frequency and Phase Velocity about Gravity Wave on Liquid Surface

Gravity Wave on Liquid Surface,Phase Velocity,Angular Frequency,Gravitational acceleration,Wavelength,Depth of Liquid,Amplitude,Wavenumber.

395

Calculation of Angular Frequency and Phase Velocity about Gravity Capillary wave

Angular Frequency, Phase Velocity,Gravity Capillary wave,Gravity Wave on Liquid Surface,Gravitational acceleration,Wavelength,Depth of Liquid,Amplitude,Wavenumber,Density,Surface tension.

396

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanSimple beamConcentrated Longitudinal LoadLateral load

Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Concentrated Load in the center of beam.

397

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanSimple beamUniformly Distributed LoadLateral load

Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Uniformly Distributed Load.

398

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanSimple beamPartial uniformly distributed loadLateral load

Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam,Partial uniformly distributed load.

399

Calculation of Weibull distribution

Weibull distribution,Probability density function,Cumulative density function,Shape parameter,Location parameter,Scale parameter,Mean,Median,Mode,Variance,Gamma Function.

400

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

401

Calculation of Wind Shear Law

Wind shear law,Wind profile,Power law,Logarithmic law,Roughness length,Reference height,Reference speed,Shear exponent,Wind speed.

402

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanSimple beamMoment Load at both endsLateral load

Moment Load at both ends,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Simple beam.

403

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

404

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanCantilever beamConcentrated Load at an arbitrary positionLateral load

Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Concentrated Load at an arbitrary position.

405

Calculation of Distribution of wind speed

Distribution of wind speed,Annual average wind speed at Hub height,10 minutes average wind speed at Hub height,Probability that wind speed at Hub height may be slowly than 10 minutes average wind speed at Hub height.

406

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

407

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanCantilever beamUniformly Distributed LoadLateral load

Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Uniformly Distributed Load,Lateral load.

408

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanCantilever beamPartial Uniformly Distributed LoadLateral load

Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam,Partial Uniformly Distributed Load,Lateral load.

409

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

410

Calculation of Extreme Wind Speed

Extreme Wind Speed,Hub height,10 minutes average standard wind speed,Extreme Wind Speed during 50 years,Extreme Wind Speed during 1 years.

411

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanCantilever beamMoment Load at tip division of beamLateral load

Moment Load at tip division of beam,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Cantilever beam.

412

Calculation of Extreme Operating Gust

High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

413

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

414

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBeams with One End Clamped and Other End Simply SupportedConcentrated Load at arbitrary positionLateral load

Concentrated Load at arbitrary position,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Beams with One End Clamped and Other End Simply Supported.

415

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

416

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBeams with One End Clamped and Other End Simply SupportedUniformly Distributed LoadLateral load

Uniformly Distributed Load,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Beams with One End Clamped and Other End Simply Supported.

417

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBeams with One End Clamped and Other End Simply SupportedMoment Load at tip division of beamLateral load

Moment Load at tip division of beam,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Beams with One End Clamped and Other End Simply Supported.

418

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBeams with Both End ClampedConcentrated Load in the center of beamLateral load

Concentrated Load in the center of beam,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Beams with Both End Clamped.

419

Calculation of Bending Moment,Shear Force,Amount of Deflection,Angle of Inclination Slope.※Single spanBeams with Both End ClampedUniformly Distributed LoadLateral load

Uniformly Distributed Load,Lateral load,Effective length factor,Young’’s modulus,Geometric moment of inertia,Buckling load,Reaction force,Shear force,Bending moment,Deflection,Angle of inclination slope,Bend stress,Single span beam,Beams with Both End Clamped.

420

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

421

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

422

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

423

Calculation of Indefinite Integral

Physics Formulas,Indefinite Integral,Transcendental Function.

424

Calculation of Time change of Extreme Operating Gust

Time change,High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

425

Calculation of Extreme Wind Direction Change

Extreme Wind Direction Change,Time change,High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

426

Calculation of Extreme Coherent Gust

Extreme Coherent Gust,High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

427

Calculation of Extreme Coherent Gust with Direction Change

Direction Change,Extreme Coherent Gust,High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

428

Calculation of Compressibility Factor from RedlichKwong Equation

Compressibility Factor,RedlichKwong Equation,Pressure,Temperature,Molar volume,Molar gas constant.

429

Calculation of Hour Angle at Sunset and Day light hours for Monthly Mean Daily Solar Radiation on tilted surfaces

Hour Angle at Sunset,Day light hours,Monthly Mean Daily Solar Radiation on tilted surfaces,latitude,Solar declination.

430

Calculation of Equation of Time and Hour Angle for Monthly Mean Daily Solar Radiation on tilted surfaces

Equation of Time,Apparent solar time,Hour Angle,Time Zone,Srandard Time,Longitude.

431

Calculation of Incidence angle to Photovoltaic array and Solar altitude

Incidence angle,Photovoltaic array,Solar altitude,Time Zone,Local Srandard Time,Longitude,Latitude,Azimuth,Tilt,Monthly average day,Day number,Equation of Time,Declination of Sun,Hour Angle,Solar altitude,Incidence angle.

432

Calculation of Ratio of Hourly Total to Daily Total Diffuse Ratdiation

Ratio of hourly to daily total diffuse radiation,Sunset Hour Angle,Time Zone,Local Srandard Time,Longitude,Latitude,Azimuth,Tilt,Monthly average day,Day number,Equation of Time,Declination of Sun,Hour Angle.

433

Calculation of Ratio of Hourly Total to Daily Total Global Ratdiation

Ratio of hourly to daily total Global radiation,Sunset Hour Angle,Time Zone,Local Srandard Time,Longitude,Latitude,Azimuth,Tilt,Monthly average day,Day number,Equation of Time,Declination of Sun,Hour Angle.

434

Calculation of Monthly Average Extraterrestrial Daily Solar Radiation on a Horizontal Surface

Monthly Average Extraterrestrial Daily Solar Radiation on a Horizontal Surface,Solar Constant,Latitude,Monthly average day,Day number,Monthly average Declination of Sun,Monthly average Sunset Hour Angle.

435

Calculation of Monthly Average Daily Global and Diffuse Solar Radiation and on a Horizontal Surface

Monthly Average Clearness Index,Monthly Average Daily Global and Diffuse Solar Radiation on a Horizontal Surface,Solar Constant,Latitude,Monthly average day,Day number,Monthly average Declination of Sun,Monthly average Sunset Hour Angle.

436

Calculation of Hourly irradiance in the plane of the Photovoltaic array

Monthly Average Hourly irradiance in the plane of the Photovoltaic array,Diffuse reflectance of the ground,ground albedo,Tilt of Photovoltaic array,Monthly Average Hourly total Global,Diffuse and Beam Solar Horizontal Irradiation,Monthly Average Daily Global,Diffuse and Beam Solar Horizontal Radiation,Ratio of hourly total to daily total global and diffuse radiation,Solar constant,Time Zone,Local Standard Time,Longitude,Latitude,Monthly Average Clearness Index,Monthly average day,Day number,Declination of Sun,Monthly average Sunset Hour Angle,Equation of Time.

437

Calculation of Daily irradiance in the plane of the Photovoltaic array

Monthly Average Daily irradiance in the plane of the Photovoltaic array,Diffuse reflectance of the ground,ground albedo,Tilt of Photovoltaic array,Monthly Average Hourly total Global,Diffuse and Beam Solar Horizontal Irradiation,Monthly Average Daily Global,Diffuse and Beam Solar Horizontal Radiation,Ratio of hourly total to daily total global and diffuse radiation,Solar constant,Time Zone,Local Standard Time,Longitude,Latitude,Monthly Average Clearness Index,Monthly average day,Day number,Declination of Sun,Monthly average Sunset Hour Angle,Equation of Time.

438

Calculation of Kepler’’s laws of planetary motion：First law

Kepler’’s laws of planetary motion：First law

439

Calculation of Orbital velocity on a orbital motion caused by the effect of gravity

Orbital velocity on a orbital motion caused by the effect of gravity

440

Calculation of Kepler’’s laws of planetary motion：Third law

Kepler’’s laws of planetary motion：Third law

441

Calculation of Moments of inertia：ThinWalled TSection

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,ThinWalled TSection

442

Calculation of Doppler effect for electromagnetic waves

Lorentz transformation,Arrival angle,Doppler effect for electromagnetic waves,Relative Velocities,Coordinates,Speed of light.

443

Calculation of Lorentz transformation：Momentum and Energy

Lorentz transformation,Momentum,Energy,Relative Velocities,Coordinates,Speed of light.

444

Calculation of Lorentz transformation：Velocity

Lorentz transformation,Velocity component,Relative Velocities,Coordinates,Speed of light.

445

Calculation of Moments of inertia：Rod

Moments of inertia,Rod

446

Calculation of Moments of inertia：Ball

Moments of inertia：Ball

447

Calculation of Moments of inertia：Hollow sphere

Moments of inertia：Hollow sphere

448

Calculation of Moments of inertia：Solid cylinder

Moments of inertia,Solid cylinder

449

Calculation of Moments of inertia：Rectangular Cuboid

Moments of inertia,Rectangular Cuboid

450

Calculation of Moments of inertia：Solid Cone

Moments of inertia,Solid Cone

451

Calculation of Moments of inertia：Solid Ellipsoid

Moments of inertia,Solid Ellipsoid

452

Calculation of Moments of inertia：Elliptical thin plate

Moments of inertia,Elliptical thin plate

453

Calculation of Moments of inertia：Solid disk

Moments of inertia,Solid disk

454

Calculation of Moments of inertia：Trigon

Moments of inertia,Trigon

455

Calculation of Lame coefficients for Isotropic Elastic Body

Lame coefficients,Poisson’‘s ratio,Young’’s Modulus,Isotropic Elastic Body.

456

Calculation of Shear Coefficient.※Cross Section:Spar and Web Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,Spar and Web Section.

457

Calculation of Moments of inertia：Cross Section:ThinWalled Box Section

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,ThinWalled Box Section

458

Calculation of Shear Coefficient.※Cross Section:ThinWalled Square Tube

Shear Coefficient,Poisson’’s ratio,Timoshenko,Beam Theory,ThinWalled Square Tube

459

Calculation of Bulk modulus for Isotropic Elastic Body

Bulk modulus,Lame coefficients,Poisson’‘s ratio,Young’’s Modulus,Isotropic Elastic Body.

460

Calculation of Young’’s Modulus for Isotropic Elastic Body

Bulk modulus,Lame coefficients,Poisson’‘s ratio,Young’’s Modulus,Isotropic Elastic Body.

461

Calculation of Poisson’’s ratio for Isotropic Elastic Body

Bulk modulus,Lame coefficients,Poisson’‘s ratio,Young’’s Modulus,Isotropic Elastic Body

462

Calculation of HagenPoiseuille equation

HagenPoiseuille equation,dynamic fluid viscosity,internal radius of pipe,volumetric flow rate,velocity of liquid moving.

463

Calculation of Viscous flow velocity between parallel plate

Viscous flow velocity,parallel plate,dynamic fluid viscosity,velocity of liquid moving.

464

Calculation of Blast wave：Radius and Expanding velocity

Blast wave,Radius,Expanding velocity,Dimensionless constant,Initial energy,Age,Surrounding medium density

465

Calculation of Soliton solutions：Solitary wave：Kortewegde Vries equation(KdV equation)：Solution with one Soliton

Soliton solutions,Solitary wave,Kortewegde Vries equation(KdV equation),Solution with one Soliton,Arbitrary constant,Phase speed.

466

Calculation of Soliton solutions：Solitary wave：Kortewegde Vries equation(KdV equation)：Solution with two Soliton

Soliton solutions,Solitary wave,Kortewegde Vries equation(KdV equation),Solution with two Soliton,Arbitrary constant,Phase speed.

467

Calculation of Limit velocity not to overturn for Symmetric Rigid Object

Limit velocity not to overturn for Symmetric Rigid Object

468

Calculation of Displacement distribution during earthquake

Displacement distribution during earthquake,Velocity Response Spectra on base rock surface(Bedrock),Natural Period of surface strata,Depth from surface.

469

Calculation of Shear force distribution on surface of underground structure during earthquake

Dynamic shear deformation coefficient,Shear force distribution on surface of underground structure during earthquake,Velocity Response Spectra on base rock surface(Bedrock),Natural Period of surface strata,Depth from surface.

470

Calculation of TensionCrack depth

TensionCrack depth,Embankment,Cohesion of soil,Wet Density,Gravity acceleration,Internal friction angle

471

Calculation of FitzHughNagumo equation

Self exited oscillation, FitzHughNagumo equation,Action potential, Excitable variable, Recovery variable

472

Calculation of Capillary action：Height the liquid is lifted

Capillary action,Liquidair surface tension,Contact angle,Density of liquid,Gravity acceleration,Radius of tube.

473

Calculation of Resistance to Ground：One Ground Rod

Resistance to Ground,One Ground Rod,Ground resistivity,Length of vertical ground rod,Radius of vertical ground rod.

474

Calculation of Resistance to Ground：Two Ground Rods：Spacing between rod is longer than length of rod.

Resistance to Ground,Two Ground Rods,Spacing between rod is longer than length of rod,Ground resistivity,Length of vertical ground rod,Radius of vertical ground rod.

475

Calculation of Resistance to Ground：Two Ground Rods：Spacing between rod is shorter than length of rod

Resistance to Ground,Two Ground Rods,Spacing between rod is shorter than length of rod,Ground resistivity,Length of vertical ground rod,Radius of vertical ground rod.

476

Calculation of JohnsonNyquist noise：Noise voltage

JohnsonNyquist noise,Noise voltage,Root Mean Square Noise voltage,Boltzmann’’s constant,Temperature,Resistor value,Bandwidth.

477

Calculation of Shot noise

Shot noise,Noise current ,Root Mean Square Noise current ,Boltzmann’’s constant,Temperature,Resistor value,Bandwidth.

478

Calculation of Spectral irradiance and Integrated spectral irradiance about Primary sunlight

Spectral irradiance,Integrated spectral irradiance,Primary sunlight,Condition of Air,Precipitable water vapor,Total ozone,Turbidity,Airmass,Ground albedo,Measuring plane to horizontal plane.

479

Calculation of Airmass

Airmass,Atmospheric pressure,Solar Zenith Angle,Standard atmosphere,Solar energy,Solar radiation.

480

Periodic table of the elements

Periodic table , Atomic number , Relative atomic mass , Period , Group , Density , Melting point , Boiling point , hydrogen , helium , lithium , beryllium , boron , carbon , nitrogen , oxygen , fluorine , neon , sodium , magnesium , aluminum , silicon , phosphorus , sulfur , chlorine , argon , potassium , calcium , scandium , titanium , vanadium , chromium , manganese , iron , cobalt , nickel , copper , zinc , gallium , germanium , arsenic , selenium , bromine , krypton , rubidium , strontium , yttrium , zirconium , niobium , molybdenum , technetium , ruthenium , rhodium , palladium , silver , cadmium , indium , tin , antimony , tellurium , iodine , xenon , cesium , barium , lanthanum , cerium , praseodymium , neodymium , promethium , samarium , europium , gadolinium , terbium , dysprosium , holmium , erbium , thulium , ytterbium , lutetium , hafnium , tantalum , tungsten , rhenium , osmium , iridium , platinum , gold , mercury , thallium , lead , bismuth , polonium , astatine , radon , francium , radium , actinium , thorium , protactinium , uranium , neptunium , plutonium , americium , curium , berkelium , californium , einsteinium , fermium , mendelevium , nobelium , lawrencium , rutherfordium , dubnium , seaborgium , bohrium , hassium , meitnerium , darmstadtium , roentgenium.

481

Calculation of Phonon dispersion relations：One dimensional Monatomic Lattice Chains

Angular frequency of Phonon,Phonon dispersion relations,One dimensional Monatomic Lattice Chains,Chain of interionic separation,Wave number,Wavelength of Phonon,Mass of Atom,Spring constant..

482

Calculation of Phonon dispersion relations：One dimensional Diatomic Lattice Chains

Angular frequency of Phonon,Phonon dispersion relations,One dimensional Diatomic Lattice Chains,Chain of interionic separation,Wave number,Wavelength of Phonon,Mass of Atom,Spring constant,Reduced mass.

483

Calculation of Fresnel equations：Reflection and Transmission Coefficients

Fresnel’‘s equation, Reflection and Transmission Coefficients, Incident angle, Reflected angle, Refracted angle, Refractive index of incident medium, Refractive index of transmitting medium, Snell’’s law.

484

Calculation of Pythagorean theorem

Pythagorean theorem

485

Calculation of Thales theorem

For Junior highschool student,Thales theorem.

486

Calculation of Hippocrates Theorem

For Junior highschool student,Hippocrates theorem.

487

Calculation of Pappus Theorem

For Junior highschool student,Pappus theorem.

488

Calculation of Time history of the contact forces normalized by body weight of the person

Time history of the contact forces normalized by body weight of the person,Step frequency,The load duration of a single footfall.

489

Calculation of Weighting function for the spectrum of vibration velocities according to human perception.

Weighting function for the spectrum of vibration velocities according to human perception,Frequencies obtained from the response of the floor structure.

490

Calculation of Quadratic equation.

Quadratic equation,Quadratic formula.

491

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with Four Hinged Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with Four Hinged Edges.

492

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with Two opposite side Hinged Edges and Two clamped Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with Two opposite side Hinged Edges and Two clamped Edges.

493

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with One Hinged Edges and Three clamped Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with One Hinged Edges and Three clamped Edges.

494

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with Three Hinged Edges and One clamped Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with Three Hinged Edges and One clamped Edges.

495

Calculation of Brahmagupta’’s theorem.

For Junior highschool student,Brahmagupta’’s theorem,cyclic quadrilateral, perpendicular diagonals.

496

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with Two adjacent Hinged Edges and Two clamped Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with Two adjacent Hinged Edges and Two clamped Edges.

497

Calculation of the first natural frequency and the modal mass of isotropic plates：Rectangular Plate with Four clamped Edges.

The first natural frequency and the modal mass of isotropic plates, Rectangular Plate with Four clamped Edges.

498

Calculation of the Natural frequency and the modal mass of Beam：Single span  Both End Clamped.

the Natural frequency and the modal mass of Beam, Single span, Both End Clamped

499

Calculation of the Natural frequency and the modal mass of Beam：Single span  One End Clamped and Other End Simply Supported.

the Natural frequency and the modal mass of Beam, Single span, One End Clamped and Other End Simply Supported.

500

Calculation of the Natural frequency and the modal mass of Beam：Single span  One End Clamped and Other End Simply Supported.

Calculation of the Natural frequency and the modal mass of Beam：Single span  One End Clamped and Other End Simply Supported.

501

Calculation of Ptolemy’’s theorem

For Junior highschool student,Ptolemy’’s theorem,cyclic quadrilateral, perpendicular diagonals.

502

Calculation of Menelaus’’ theorem

For Junior highschool student,Menelaus’’ theorem.

503

Calculation of Langevin Function

Langevin Function,magnetic moment,Total Angula Momentum

504

Calculation of Sinc function

Sinc function

505

Calculation of Kinetic energy

For Junior highschool student,Kinetic energy

506

Calculation of Approximation of mode shape(first mode),Mass distribution and Modal mass：ly～lx

Langevin Function,magnetic moment,Total Angula Momentum

507

Calculation of Point of application of horizontal load by earthquake to calculate Overturning Moment of tank：Square Glassfiber Reinforced Plastic Water Tank

Point of application,horizontal load by earthquake,Overturning Moment of tank,Square Glassfiber Reinforced Plastic Water Tank,Water level,Breadth of FRP Water Tank.

508

Calculation of Effective weight of water inside tank during earthquake to calculate horizontal load：Square Glassfiber Reinforced Plastic Water Tank

Effective weight of water,Point of application,horizontal load by earthquake,Overturning Moment of tank,Square Glassfiber Reinforced Plastic Water Tank,Water level,Breadth of FRP Water Tank

509

Calculation of Parabola

For Junior highschool student,Parabola,Focus,Eccentricity,Directrix.

510

Calculation of Ellipse

For Junior highschool student,Ellipse,Focus,Eccentricity,Directrix.

511

Calculation of Hyperbola

For Junior highschool student,Hyperbola,Focus,Eccentricity,Directrix.

512

Calculation of Error in Derivation using Numerical differentiation. Case：y=sin(cos(x))

Derivation,Numerical differentiation,sin(cos(x)),chain rule

513

Calculation of Fluctuating water pressure impinging on wall and bottom of tank：Square Glassfiber Reinforced Plastic Water Tank

fluctuating water pressure impinging on wall and bottom of tank：Square Glassfiber Reinforced Plastic Water Tank

514

Calculation of Primary Natural Period of Sloshing：Square Glassfiber Reinforced Plastic Water Tank

Primary Natural Period of Sloshing,Square Glassfiber Reinforced Plastic Water Tank

515

Calculation of Wave height by Sloshing Response：Square Glassfiber Reinforced Plastic Water Tank

Primary Natural Period of Sloshing,Square Glassfiber Reinforced Plastic Water Tank

516

Calculation of Fluctuating water pressure impinging on roof of tank：Square Glassfiber Reinforced Plastic Water Tank

Primary Natural Period of Sloshing,Square Glassfiber Reinforced Plastic Water Tank

517

Calculation of Coincidence frequency

Coincidence frequency,Young’‘s modulus,Sound velocity,Density of Plate,Poisson’’s ratio,Thickness of Plate

518

Calculation of Plotting positions

Plotting positions,Weibull,Hazen,Gringorten,Blom,Cunnane

519

Calculation of Volume of Overflow：Full width weir

Volume of Overflow,Full width weir

520

Calculation of Volume of Overflow：Square weir

Volume of Overflow,Square weir

521

Calculation of Volume of Overflow：Right triangle weir

Volume of Overflow,Right triangle weir

522

Calculation of Volume of Overflow：Submerged weir

Volume of Overflow,Submerged weir

523

Calculation of PasquillGifford Graph：approximate relationship

PasquillGifford Graph,The PasquillTurner Stability Index,Downwind distance,Dispersion Coefficient,approximate relationship

524

Calculation of Effective chimney height(Stack height)：CONCAWE,Under Windy Condition

Effective chimney height(Stack height),CONCAWE,Under Windy Condition,Building height,Wind speed,Specific heat at constant pressure

525

Calculation of Effective chimney height(Stack height)：Moses and Carson,Under Windy Condition

Effective chimney height(Stack height),Moses and Carson,Under Windy Condition,Building height,Wind speed,Specific heat at constant pressure

526

Calculation of Effective chimney height(Stack height)：Briggs,Under calm Condition

Effective chimney height(Stack height),Briggs,Under calm Condition,Building height,Wind speed,Specific heat at constant pressure

527

Calculation of Plume dispersion equation

Plume dispersion equation,Downwind distance,Volume of emit gas,Wind speed,Effective chimney height,Stability categories

528

Calculation of Puff dispersion equation

Puff dispersion equation,calm condition,Downwind distance,Volume of emit gas,Wind speed,Effective chimney height,Stability categories

529

Calculation of Bivariate normal distribution：Joint probability density function

Bivariate normal distribution,Variable,Average,Correlation coefficient

530

Calculation of Antoine equation

Antoine equation,vapor pressure,temperature,Antoine coefficients

531

Calculation of Lissajous figure(Lissajous curve)

Lissajous figure,Lissajous curve,sin,cos,amplitude,frequency,phase shift

532

Calculation of Clothoid curve(Cornu Spiral)

Clothoid curve,Cornu Spiral,Fresnel Integrals

533

Calculation of Earthquake frequencymagnitude distribution：Cumulative distribution function

Earthquake frequencymagnitude distribution,Cumulative distribution function

534

Calculation of Earthquake frequencymagnitude distribution：Annual average earthquake cumulative frequency

Earthquake frequencymagnitude distribution,Annual average earthquake cumulative frequency

535

Calculation of homogeneous linear differential equations of order 1 by RungeKutta methods(RK4)：dy/dx=ay+bx+c

homogeneous linear differential equations of order 1,RungeKutta methods(RK4),dy/dx=ay+bx+c

536

Calculation of Simultaneous homogeneous linear differential equations of order 1 by RungeKutta methods(RK4)：LotkaVolterra equation

Simultaneous homogeneous linear differential equations of order 1,RungeKutta methods(RK4),LotkaVolterra equation

537

Calculation of Alfven velocity

Alfven velocity,Magnetic field strength,Permeability of the vacuum,Total mass density of the charged plasma particles.

538

Calculation of Bending vibration of Beam(Shape of natural vibration)：Hinge  Hinge,Uniform section,Undamped Free Vibration

Hinge,Uniform section,Undamped Free Vibration,Bending vibration,Beam,Torsional rigidity,Mode.

539

Calculation of Bending vibration of Beam(Shape of natural vibration)：Clamped  Free,Uniform section,Undamped Free Vibration

Clamped,Free,Uniform section,Undamped Free Vibration,Bending vibration,Beam,Torsional rigidity,Mode.

540

Calculation of Bending vibration of Beam(Shape of natural vibration)：Clamped  Clamped,Uniform section,Undamped Free Vibration

Clamped,Uniform section,Undamped Free Vibration,Bending vibration,Beam,Torsional rigidity,Mode.

541

Calculation of Bending vibration of Beam(Shape of natural vibration)：Free  Free,Uniform section,Undamped Free Vibration

Free,Uniform section,Undamped Free Vibration,Bending vibration,Beam,Torsional rigidity,Mode.

542

Calculation of Angular Natural Frequency of Beam：Clamped  Free,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Clamped,Free,Uniform section,Undamped Free Vibration,Uniformly distributed load.

543

Calculation of Angular Natural Frequency of Beam：Hinged  Hinged,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Hinged,Uniform section,Undamped Free Vibration,Uniformly distributed load.

544

Calculation of Angular Natural Frequency of Beam：Clamped  Clamped,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Clamped,Uniform section,Undamped Free Vibration,Uniformly distributed load.

545

Calculation of Angular Natural Frequency of Beam：Free  Free,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Free,Uniform section,Undamped Free Vibration,Uniformly distributed load.

546

Calculation of Angular Natural Frequency of Beam：Clamped  Hinged,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Clamped,Hinged,Uniform section,Undamped Free Vibration,Uniformly distributed load.

547

Calculation of Angular Natural Frequency of Beam：Hinged  Free,Uniform section,Undamped Free Vibration,Uniformly distributed load

Angular Natural Frequency of Beam,Free,Hinged,Uniform section,Undamped Free Vibration,Uniformly distributed load.

548

Calculation of Potential evapotranspiration by Thornthwaite’’s equation

Potential evapotranspiration,Thornthwaite’‘s equation,Latitude,Solar declination,Mean monthly temperature,Thornthwaite’’s temperature efficiency index,Heat index.

549

Calculation of Potential evapotranspiration by Hamon’’s Equation

Potential evapotranspiration,Hamon’’s equation,Latitude,Solar declination,Mean monthly temperature,Saturated vapor pressure

550

Calculation of temperaturedependent oxygen saturation of water

Temperaturedependent oxygen saturation,Water temperature,Salinity

551

Calculation of Angular Natural Frequency of Massive Beams with Concentrated Mass Loads.Uniform section,Undamped Free Vibration,ClampedFree,Mode：1

Angular Natural Frequency,ClampedFree,Massive Beams,Concentrated Mass Loads,Uniform section,Undamped Free Vibration,Mode：1

552

Calculation of Angular Natural Frequency of Massive Beams with Concentrated Mass Loads.Center Load,Uniform section,Undamped Free Vibration,HingedHinged,Mode：1

Angular Natural Frequency,HingedHinged,Massive Beams,Concentrated Mass Loads,Uniform section,Undamped Free Vibration,Mode：1

553

Calculation of Angular Natural Frequency of Massive Beams with Concentrated Mass Loads.Center Load,Uniform section,Undamped Free Vibration,ClampedClamped,Mode：1

Angular Natural Frequency,ClampedClamped,Massive Beams,Concentrated Mass Loads,Uniform section,Undamped Free Vibration,Mode：1

554

Calculation of Debye length in a plasma

Debye length in a plasma,Permittivity of free space,Boltzmann constant,Charge of an electron,Temperatures of the electrons,Density of electrons

555

Calculation of Landau length in a plasma

Landau length in a plasma,Permittivity of free space,Boltzmann constant,Charge of an electron,Temperatures of the electrons,Density of electrons

556

Calculation of First Natural Frequency of floor slab：Peripherally Fixed Rectangular Plate

First Natural Frequency of floor slab,Peripherally Fixed Rectangular Plate,Octave Band,Young’’s modules,Density,Equivalent thickness of floor slab,Reduction coefficient

557

Calculation of Bending Rigidity and Equivalent thickness of floor slab for impedance calculation：Homogeneous single panelslab

Homogeneoussingle panelslab,Bending Rigidity,Equivalent thickness of floor slab, impedance calculation,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

558

Calculation of Bending Rigidity and Equivalent thickness of floor slab for impedance calculation：Homogeneoussingle panelvoid slab with circle hollow air space

Diameter of circle,Interval of void,Homogeneous single panelvoid slab with circle hollow air space,Bending Rigidity,Equivalent thickness of floor slab, impedance calculation,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

559

Calculation of Bending Rigidity and Equivalent thickness of floor slab for impedance calculation：Homogeneoussingle panelvoid slab with rectangle hollow air space

Homogeneous single panelvoid slab with rectangle hollow air space,Bending Rigidity,Equivalent thickness of floor slab, impedance calculation,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

560

Calculation of amount of increase of impedance according to impact point by restraining effect of plate ends

amount of increase of impedance,impact point,restraining effect of plate ends,wavelength of undulation

561

Calculation of wavelength of bending wave(flexural wave) of floor slab

Young’’s modules of member,Density of member,Equivalent thickness of floor slab,Impact frequency,Elastic wave velocity,Wavelength of bending wave(flexural Wave) of floor slab,Velocity of bending wave(flexural Wave) of floor slab

562

Calculation of amount of increase of impedance according to impact point by restraining effect of plate ends：twoway restraining

twoway restraining,amount of increase of impedance,impact point,restraining effect of plate ends,wavelength of undulation

563

Calculation of Basic impedance level for calculation of heavy weight floorimpact sound level：Homogeneoussingle panelslab

Basic impedance level for calculation of heavy weight floorimpact sound level,Homogeneoussingle panelslab,Bending Rigidity,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

564

Calculation of Basic impedance level for calculation of heavy weight floorimpact sound level：Homogeneoussingle panelvoid slab with rectangle hollow air space

Basic impedance level for calculation of heavy weight floorimpact sound level,Homogeneous single panelvoid slab with rectangle hollow air space,Bending Rigidity,Equivalent thickness of floor slab, impedance calculation,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

565

Calculation of Basic impedance level for calculation of heavy weight floorimpact sound level：Homogeneoussingle panelvoid slab with circle hollow air space

Basic impedance level for calculation of heavy weight floorimpact sound level,Diameter of circle,Interval of void,Homogeneous single panelvoid slab with circle hollow air space,Bending Rigidity,Equivalent thickness of floor slab, impedance calculation,Density of member,Thickness of floor slab,Young’’s modules of member,Second moment of area

566

Calculation of Necessary water dilution volume

Necessary water dilution volume,Molecular weight of object,Concentration

567

Calculation of Seismic risk analysis：Point Source Model

GutenbergRichter formula,Probability density function of maximum magnitude,Cumulative distribution function of maximum magnitude,Seismic risk analysis,Point Source Model,Earthquake Magnitude,Lower limit of Earthquake Magnitude,Period

568

Calculation of Normal Random Numbers by BoxMuller transform

Normal Random Numbers,BoxMuller transform,Mean,Variance,Standard variation,Probability density function,Frequency function,Normal distribution

569

Calculation of Constant Volume Heat Capacities by Debye T3 law and DulongPetit law

Constant Volume Heat Capacities,Debye T3 law,DulongPetit law,Boltzmann constant,Temperature,Debye temperature,Avogadro constant

570

Calculation of Fermi wave number, Fermi velocity, Fermi energy and Fermi temperature

Fermi wave number, Fermi velocity, Fermi energy, Fermi temperature,Number of electrons per unit volume,Planck’’s constant,Mass of Electron

571

Calculation of Density of states for electrons per unit volume

Density of states for electrons per unit volume,Planck’’s constant,Mass of Electron,Energy of electron

572

Calculation of Transition temperature：BoseEinstein Condensation

Transition temperature,BoseEinstein Condensation,Number of particles per unit volume,Planck’’s constant,Mass of particle,Boltzmann constant

573

Calculation of Logistic distribution

Logistic distribution,Location parameter,Scale parameter

574

Calculation of Logistic map

Logistic map,Feigenbaum point

575

Calculation of Henon map

Henon map,Chaos theory

576

Simulation of Random walk：1dimension

Random walk,1dimension

577

Simulation of Random walk：2dimensions

Random walk,2dimensions

578

Calculation of LennardJones (612) potential

LennardJones (612) potential,Parameter,Separation,Boltzmann constant

579

Calculation of Electrostatic energy of Ionic bonds

Electrostatic energy of Ionic bonds,Distance of next neighbors,Permittivity of vacuum,Elementary charge,Madelung constant

580

Calculation of Astroid curve

Astroid curve,Perimeter length,Area

581

Calculation of Electrostatic capacitance：Coaxial cylinder

Electrostatic capacitance,Coaxial cylinder,Radius,Permittivity of vacuum,Relative Permittivity of medium

582

Calculation of Electrostatic capacitance：Concentric Spherical

Electrostatic capacitance,Concentric Spherical,Radius,Permittivity of vacuum,Relative Permittivity of medium

583

Calculation of Electrostatic capacitance：Two cylinders

Electrostatic capacitance,Two cylinders,Radius,Permittivity of vacuum,Relative Permittivity of medium,Inverse hyperbolic function,arcosh

584

Calculation of Electrostatic capacitance：Coaxial Disks

Electrostatic capacitance,Coaxial Disks,Radius,Permittivity of vacuum,Relative Permittivity of medium

585

Calculation of Relative Permittivity by ClausiusMossotti relation

Relative Permittivity,ClausiusMossotti relation,Density of material,Molar mass of material,Permittivity of vacuum,Polarizability of material,Avogadro constant

586

Calculation of Vapor pressure by ClausiusClapeyron Equation

Vapor pressure,ClausiusClapeyron Equation,Temperature,Latent heat,Boiling point,Gas constant

587

Calculation of Brownian motion by Einstein formula

Brownian motion,Einstein formula,Boltzmann constant,Absolute Temperature,Time interval,Viscosity of liquid,Radius of the spherical particles

588

Calculation of Laplace distribution

Laplace distribution,Probability density function,Cumulative distribution function,Variance,Location parameter,Scale parameter,dispersion

589

Calculation of Bezier Curve：Four Points

Bezier Curve,Four Points

590

Calculation of Brillouin Function

Brillouin Function

591

Calculation of Required number of punched hole in resonator type muffler

Required number of punched hole,resonator type muffler,Inside diameter of duct,Octave band center frequency,Resonant frequency,Target attenuation value,Diameter of punched hole,Thickness of duct,Sound velocity

592

Calculation of Einstein Functions

Einstein Functions

593

Calculation of Planck’’s Radiation Functions

Planck’’s Radiation Functions

594

Calculation of Home range size by body size of fish in lake or river

Home range size by body size of fish in lake or river

595

Calculation of Quartic function by Ferrari’’s solution

Quartic function by Ferrari’’s solution

596

Calculation of Square root of complex number：√(x+iy)

Square root of complex number

597

Calculation of Density of Seawater

Density of Seawater,Salinity,Temperature of seawater

598

Calculation of Moment and Reaction force of Portal frame：Two hinged support,Vertically concentrated load

Moment,Reaction force and displacement of Portal frame,Two hinged support,Vertically concentrated load,Stiffness ratio

599

Calculation of Moment and Reaction force of Portal frame：Two hinged support,Vertically distributed load

Moment,Reaction force,Portal frame,Two hinged support,Vertically distributed load,Stiffness ratio

600

Calculation of Moment and Reaction force of Portal frame：Two hinged support,Lateral concentrated load

Moment,Reaction force,Portal frame,Two hinged support,Lateral concentrated load,Stiffness ratio

601

Calculation of Moment and Reaction force of Portal frame：Two hinged support,Lateral distributed load

Moment,Reaction force,Portal frame,Two hinged support,Lateral distributed load,Stiffness ratio

602

Calculation of End Moment and Reaction force of Portal frame：Two hinged support,Moment load

Moment,Reaction force,Portal frame,Two hinged support,Moment,Stiffness ratio

603

Calculation of End Moment and Reaction force of Portal frame：Two hinged support,Moment load on Column

Moment,Reaction force,Portal frame,Two hinged support,Moment load on Column,Stiffness ratio

604

Calculation of End Moment and Reaction force of Portal frame：Two hinged support,Moment load on edge of Column

Moment,Reaction force,Portal frame,Two hinged support,Moment load on edge of Column,Stiffness ratio

605

Calculation of End Moment and Reaction force of Portal frame：Two hinged support,Uniform temperature increase

Moment,Reaction force,Portal frame,Two hinged support,Uniform temperature increase,Stiffness ratio

606

Calculation of End Moment and Reaction force of Portal frame：Two hinged support,Horizontal displacement of support

Moment,Reaction force,Portal frame,Two hinged support,Horizontal displacement of support,Stiffness ratio

607

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Vertically concentrated load

Moment,Reaction force,Portal frame,Two Fixed support,Vertically concentrated load,Stiffness ratio

608

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Vertically distributed load

Moment,Reaction force,Portal frame,Two Fixed support,Vertically distributed load,Stiffness ratio

609

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Lateral concentrated load

Moment,Reaction force,Portal frame,Two Fixed support,Lateral concentrated load,Stiffness ratio

610

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Lateral distributed load

Moment,Reaction force,Portal frame,Two Fixed support,Lateral distributed load,Stiffness ratio

611

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Moment load on Beam

Moment,Reaction force,Portal frame,Two Fixed support,Moment load on Beam,Stiffness ratio

612

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Moment load on Column

Moment,Reaction force,Portal frame,Two Fixed support,Moment load on Column,Stiffness ratio

613

Calculation of Prime number theorem：π(x)～x/ln(x)

Prime number theorem,π(x)～x/ln(x),Primecounting function,Natural logarithm

614

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Moment load on edge of Column

Moment,Reaction force,Portal frame,Two Fixed support,Moment load on edge of Column,Stiffness ratio

615

Calculation of Riemann’’s zeta function：ζ(s)

Riemann’’s zeta function

616

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Uniform temperature increase

Moment,Reaction force,Portal frame,Two Fixed support,Uniform temperature increase,Stiffness ratio

617

Calculation of End Moment and Reaction force of Portal frame：Two Fixed support,Horizontal and Vertical displacement of support

Moment,Reaction force,Portal frame,Two Fixed support,Horizontal and Vertical displacement of support,Stiffness ratio

618

Calculation of End Moment and Reaction force of Box frame：Single box,Vertically distributed load

Moment,Reaction force,Box frame,Single box,Vertically distributed load

619

Calculation of End Moment and Reaction force of Box frame：Single box,Lateral distributed load

Moment,Reaction force,Box frame,Single box,Lateral distributed load

620

Calculation of Exponential distribution

Exponential distribution,Mean,Median,Probability Density Function,Cumulative Distribution Function

621

Calculation of Erlang distribution

Erlang distribution,Mean,Probability Density Function,Cumulative Distribution Function

622

Calculation of End Moment and Reaction force of Box frame：Two boxs,Vertically distributed load

Moment,Reaction force,Box frame,Two boxs,Vertically distributed load

623

Calculation of Power of Complex number：(x+iy)^(a+ib)

Power of Complex number,(x+iy)^(a+ib)

624

Calculation of End Moment and Reaction force of Box frame：Two boxs,Lateral distributed load

Moment,Reaction force,Box frame,Two boxs,Lateral distributed load

625

Calculation of Earth pressure increase on underground exterior wall in the case that a concentrated load exists

Earth pressure increase,Underground exterior wall,Concentrated load,Poisson’’s ratio of soil

626

Calculation of Earth pressure increase on underground exterior wall in the case that rectangle distributed load exists

Earth pressure increase,Underground exterior wall,rectangle distributed load,Poisson’’s ratio of soil

627

Calculation of Lateral resistance of pile foundation subject to bending moments and horizontal force at pile head in the case of β*L＞2.25：Free head pile,Pile head above ground,Homogeneous soil,Elastic Beam

Lateral resistance,pile foundation,bending moments,horizontal force,pile head,Free head pile,Pile head above ground,Diameter of pile,Young’’s modules of pile,Second moment of area of pile,Horizontal subgrade reaction coefficient,Homogeneous soil,Elastic Beam

628

Calculation of Predictable of noise level made by operating machine：Single source

Predictable of noise level,operating machine,Single source,Average sound absorption coefficient,Power level of sound source machine,Directivity coefficient,Transmission loss of partition：TL

629

Calculation of Predictable of outdoor noise level

Predictable of outdoor noise level,Transmission loss,Exterior wall

630

Calculation of Predictable of Noise level(Sound pressure level) inside room：Point Sound Source

Predictable,Noise level,Sound pressure level,inside room,Point Sound Source,Sound power level of Source sound,Directivity coefficient：Q

631

Calculation of Predictable of Noise level(Sound pressure level) inside room：Finite Line Sound Source

Predictable,Noise level,Sound pressure level,inside room,Finite Line Sound Source,Sound power level of Source sound,Directivity coefficient：Q

632

Calculation of Predictable of Noise level(Sound pressure level) inside room：Plane Sound Source. ※Only the range of plane source

Predictable,Noise level,Sound pressure level,inside room,Plane Sound Source,Sound power level of Source sound,Directivity coefficient：Q

633

Calculation of Predictable of Water Quality on the Ocean Area by JosephSendner equation and Nitta equation

JosephSendner equation,Nitta equation,Predictable of Water Quality on the Ocean Area,emission source,Angle of diffusion,Concentration of polluted matters,Drainage volume,Thickness of diffusion layer,Diffusion speed

634

Calculation of natural attenuation value of sound wave in air duct：By different section shape

Natural attenuation value,sound wave,air duct,different section shape

635

Calculation of attenuation value of sound wave in air duct：By Expansion Cavity Type Muffler

attenuation value,sound wave,air duct,Expansion Cavity Type Muffler

636

Calculation of attenuation value of sound wave in air duct：By sound absorbing chamber

attenuation value,sound wave,air duct,sound absorbing chamber

637

Calculation of Standing wave ratio(SWR：n), Reflection coefficient(rp) and Sound absorption coefficient(α0)

Return loss,Standing wave ratio(SWR),Reflection coefficient(rp),Sound absorption coefficient(α0)

638

Calculation of Return loss, Reflection coefficient(rp) and Sound absorption coefficient(α0)

Return loss,Standing wave ratio(SWR),Reflection coefficient(rp),Sound absorption coefficient(α0)

639

Calculation of Lateral resistance of pile foundation subject to horizontal force at pile head in the case of β*L＞2.25：Fixed head pile,Pile head above ground,Homogeneous soil,Elastic Beam

Lateral resistance,pile foundation,bending moments,horizontal force,pile head,Fixed head pile,Pile head above ground,Diameter of pile,Young’’s modules of pile,Second moment of area of pile,Horizontal subgrade reaction coefficient,Homogeneous soil,Elastic Beam

640

Calculation of probability density function of interparicle distance in a plain

Probability density function of interparicle distance in a plain,Density of points

641

Calculation of Lateral resistance of pile foundation subject to horizontal force at pile head in the case of β*L＞2.25：Free head pile,Pile head does not poke through the ground,Homogeneous soil,Elastic Beam

Lateral resistance,pile foundation,bending moments,horizontal force,pile head,Free head pile,Pile head does not poke through the ground,Diameter of pile,Young’’s modules of pile,Second moment of area of pile,Horizontal subgrade reaction coefficient,Homogeneous soil,Elastic Beam

642

Calculation of Lateral resistance of pile foundation subject to horizontal force at pile head in the case of β*L＞2.25：Fixed head pile,Pile head does not poke through the ground,Homogeneous soil,Elastic Beam

Lateral resistance,pile foundation,bending moments,horizontal force,pile head,Fixed head pile,Pile head does not poke through the ground,Diameter of pile,Young’’s modules of pile,Second moment of area of pile,Horizontal subgrade reaction coefficient,Homogeneous soil,Elastic Beam

643

Calculation of Bearing capacity factors due to Internal friction angle

Bearing capacity factors,Internal friction angle,Prandtl’‘s solution,Reissner’‘s solution,Meyerhof’’s approximate solution

644

Calculation of Ultimate Vertical Bearing Capacity

Ultimate Vertical Bearing Capacity,Unit weights,Cohesion,Breadth of foundation,Depth of embedded footing,Bearing capacity factors,Internal friction angle,Prandtl’‘s solution,Reissner’‘s solution,Meyerhof’’s approximate solution

645

Calculation of Immediate settlemen due to spread foundation on a layer of finite thickness

Immediate settlemen due to spread foundation on a layer of finite thickness,Long side of Foundation,Short side of foundation,Thickness of soil,Average load of foundation,Young’‘s modulus of soil,Poisson’’s ratio of soil

646

Calculation of Vertical stress increment due to concentrated load on the ground

Vertical stress increment due to concentrated load on the ground,Vertical concentrated load on the ground,Depth from ground surface to the arbitrary point,Dinstance from load point to the arbitrary point,Horizontal dinstance

647

Calculation of Vertical stress increment due to distributed load on the ground

Vertical stress increment due to distributed load on the ground,Vertical distributed load on the ground,Depth from ground surface to the arbitrary point,Dinstance from load point to the arbitrary point,Horizontal dinstance

648

Calculation of Shear wave velocity and Shear stiffness

Shear wave velocity,Shear stiffness,Young’‘s modulus of soil,Poisson’’s ratio of soil,Unit weights of soil,Gravity acceleration

649

Calculation of Conversion from Rectangleduct to Circleduct with same friction resistance

Conversion from Rectangleduct to Circleduct with same friction resistance,Long side of rectangle duct,Short side of rectangle duct

650

Calculation of Resistance coefficient(ζ)：Rectangle Duct,90°bend

Resistance coefficient(ζ),Rectangle Duct,90°bend ,Curvature radius,Duct width,Duct height

651

Calculation of Resistance coefficient(ζ)：Rectangle Duct,Branch pipe,Direct side

Resistance coefficient(ζ),Rectangle Duct,Branch pipe,Direct side

652

Calculation of Resistance coefficient(ζ)：Rectangle Duct,Branch pipe,Branch side

Resistance coefficient(ζ),Rectangle Duct,Branch pipe,Branch side

653

Calculation of Estimated Shear Wave Velocity from Nvalue of soil by Ohta・Maeda equation

Estimated Shear Wave Velocity from Nvalue of soil by Ohta・Maeda equation,Geological time division,Soil division

654

Calculation of Young’’s modulus of soil

Young’‘s modulus of soil,Poisson’’s ratio of soil,Density of soil,Pwave velocity

655

Calculation of Poisson’’s ratio of soil

Poisson’’s ratio of soil,Density of soil,Equivalent Swave velocity,Pwave velocity

656

Calculation of Akaike’’s Information Criterion

Akaike’’s Information Criterion,Maximized value of the likelihood function,Number of parameters

657

Calculation of Gompertz distribution

Gompertz distribution,probability distribution function,cumulative distribution function,survival function,hazard function

658

Calculation of Dagum distribution system：TypeⅠ

Dagum distribution system,TypeⅠ,probability distribution function,cumulative distribution function,survival function,hazard function

659

Calculation of Dagum distribution system：TypeⅡ

Dagum distribution system,TypeⅡ,probability distribution function,cumulative distribution function,survival function,hazard function

660

Calculation of Wind speed distribution by RETSCREENR ENGINEERING & CASES TEXTBOOK

Wind speed distribution, Gamma function, Weibull probability density function

661

Calculation of Wind power density：WPD by RETSCREENR ENGINEERING & CASES TEXTBOOK

Wind power density WPD,Wind speed distribution, Gamma function, Weibull probability density function

662

Calculation of Reaction turbine runner size by RETSCREENR ENGINEERING & CASES TEXTBOOK

Reaction turbine runner size,francis, kaplan and propellor turbines,runner throat diameter,design flow

663

Calculation of Specific speed of francis, kaplan and propellor turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Specific speed,francis, kaplan and propellor turbines,Rated head on turbine

664

Calculation of Specific speed adjustment to peak efficiency of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Specific speed adjustment to peak efficiency,francis turbines,specific speed based on flow

665

Calculation of Runner size adjustment to peak efficiency of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter

666

Calculation of Turbine peak efficiency of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Turbine peak efficiency,Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter,turbine manufacture/design coeffi cient

667

Calculation of Peak efficiency flow of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Peak efficiency flow,Turbine peak efficiency,Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter,turbine manufacture/design coeffi cient

668

Calculation of Efficiencies at flows below peak efficiency flow of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Efficiencies at flows below peak efficiency flow,Peak efficiency flow,Turbine peak efficiency,Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter,turbine manufacture/design coeffi cient

669

Calculation of Drop in efficiency at full load and Efficiency at full load of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Drop in efficiency at full load and Efficiency at full load,Efficiencies at flows below peak efficiency flow,Peak efficiency flow,Turbine peak efficiency,Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter,turbine manufacture/design coeffi cient

670

Calculation of Efficiencies at flows above peak efficiency flow of Francis turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Efficiencies at flows above peak efficiency flow, Drop in efficiency at full load and Efficiency at full load,Efficiencies at flows below peak efficiency flow,Peak efficiency flow,Turbine peak efficiency,Runner size adjustment to peak efficiency,francis turbines,specific speed based on flow, Runner throat diameter,turbine manufacture/design coeffi cient

671

Calculation of Specific speed of hydraulic turbines by JIS B0119：2009

Specific speed, Hydraulic turbines, Gross head, Reference output, Rotation speed

672

Calculation of Ohsaki’’s Spectrum(1994)

Ohsaki’’s Spectrum, Magnitude, Epicentral distance, Damping factor, Control Point, Response Velocity

673

Calculation of Max velocity at base layer furface by Modified KANAI’’s Equation

Modified KANAI’’s Equation, Magnitude, Epicentral distance, Max velocity at base layer furface,Focal depth,Hypocenter Distance

674

Calculation of Envelope Function

Envelope Function, Magnitude

675

Calculation of Specific speed adjustment to peak efficiency of Kaplan and Propellor turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Specific speed adjustment, peak efficiency, Kaplan turbines, Propellor turbines

676

Calculation of Runner size adjustment to peak efficiency of Kaplan and Propellor turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Runner size adjustment,Specific speed adjustment, peak efficiency, Kaplan turbines, Propellor turbines

677

Calculation of Turbine peak efficiency of Kaplan and Propellor turbines by RETSCREENR ENGINEERING & CASES TEXTBOOK

Turbine peak efficiency,Runner size adjustment,Specific speed adjustment, peak efficiency, Kaplan turbines, Propellor turbines

678

Calculation of Financial Analysis Model(Debt payments) by RETSCREENR ENGINEERING & CASES TEXTBOOK

Financial Analysis Model,Debt payments,Total initial cost of the project,Debt ratio,Effective annual debt interest rate,Debt term,Yearly debt payment,Total debt payment

679

Calculation of Financial Analysis Model(Pretax cash flows：Cash outflows) by RETSCREENR ENGINEERING & CASES TEXTBOOK

Pretax cash flows,Cash outflows,Financial Analysis Model,Debt payments,Total initial cost of the project,Debt ratio,Effective annual debt interest rate,Debt term,Yearly debt payment,Total debt payment

680

Calculation of Financial Analysis Model(Pretax cash flows：Cash inflows) by RETSCREENR ENGINEERING & CASES TEXTBOOK

Pretax cash flows,Cash inflows,Financial Analysis Model,Incentives and grants,Annual energy savings or income,Annual capacity savings or income,Annual renewable energy (RE) production credit income,GHG reduction income,Inflation rate,Energy cost escalation rate,RE credit escalation rate,GHG credit escalation rate

681

Calculation of Financial Analysis Model(Pretax cash flows) by RETSCREENR ENGINEERING & CASES TEXTBOOK

Pretax cash flows,Cash outflows,Financial Analysis Model,Debt payments,Total initial cost of the project,Debt ratio,Effective annual debt interest rate,Debt term,Yearly debt payment,Total debt payment,Cash inflows,Cash outflows,Financial Analysis Model,Incentives and grants,Annual energy savings or income,Annual capacity savings or income,Annual renewable energy (RE) production credit income,GHG reduction income,Inflation rate,Energy cost escalation rate,RE credit escalation rate,GHG credit escalation rate

682

Calculation of Artificial Earthquake Motion by Ohsaki’’s Spectrum(1994)

Artificial Earthquake Motion,Ohsaki’‘s Spectrum, Magnitude, Epicentral distance, Damping factor, Control Point, Response Velocity,Max velocity at base layer furface,Effctive duration,Modified KANAI’’s Equation, Magnitude, Epicentral distance, Max velocity at base layer furface,Focal depth,Hypocenter Distance,Envelope Function, Maximum acceleration,Maximum velocity

683

Halflife time table of Radionuclides

Halflife time, Radionuclides

684

Calculation of Reduction of Live Loads for floor by Building Code of Pakistan

Building Code of Pakistan,Reduction of Live Loads,Area of floor supported by the member,Rate of reduction

685

Calculation of Reduction of Live Loads for roof by Building Code of Pakistan

Building Code of Pakistan,Reduction of Live Loads,Area of roof supported by the member,Rate of reduction

686

Calculation of Alternate Floor Live Load Reduction by Building Code of Pakistan

Building Code of Pakistan,Alternate Floor Live Load Reduction,Reduced design live load,Influence area

687

Calculation of Snow load reduction by Building Code of Pakistan

Building Code of Pakistan,snow load reduction,total snow load

688

Calculation of Filter Characteristics for computing Instrumental Seismic Intensity

Filter Characteristics for computing Instrumental Seismic Intensity,Frequency of seismic movement,Period Effect,High cut,Low cut

689

Calculation of Relationship between amount of energy that is radiated by an earthquake and magnitude

Relationship between amount of energy that is radiated by an earthquake and magnitude.

690

Calculation of Reliability/Redundancy Factor by Building Code of Pakistan

Building Code of Pakistan,Reliability/Redundancy Factor,Maximum elementstorey shear ratio,Ground floor area of structure

691

Calculation of Total design base shear for building except in the cases of Undefined structural systems or Soil requiring Sitespecific Evaluation by Building Code of Pakistan

Building Code of Pakistan,Total design base shear for building except Undefined structural systems

692

Calculation of Tension of Overhead Power Line

Tension of Overhead Power Line,overhead line support,Unit weighet of Power Line,Distance between overhead line supports,Cross section of Power Line,Elastic Modulus of Power Line,Slack of Power Line,Linear expansion coefficient of Power Line

693

Calculation of Slack of Overhead Power Line

Tension of Overhead Power Line,overhead line support,Unit weighet of Power Line,Distance between overhead line supports,Cross section of Power Line,Elastic Modulus of Power Line,Slack of Power Line,Linear expansion coefficient of Power Line

694

Calculation of Length of Hanger

Length of hanger,Tension of Overhead Power Line,overhead line support,Unit weighet of Power Line,Distance between overhead line supports,Cross section of Power Line,Elastic Modulus of Power Line,Slack of Power Line,Linear expansion coefficient of Power Line

695

Calculation of Efficiency of Three Phase Induction Motor

Efficiency of Three Phase Induction Motor,Frequency of Motor,Pole of Motor,Rotating velocity,Torque,Primary Copper Loss,Iron Loss

696

Calculation of Number of photon emitted from luminous element

Number of photon emitted from luminous element,Power of luminous element,Wavelength of emitted luminosity,Planck’’s constant,Speed of light,Time

697

Calculation of Gravity

Gravity,Radius of celestial body,Mass of celestial body,Mass of object on the surface,Gravitational constant

698

Calculation of Maximum Recoil Energy in completelyelastic collision

Maximum Recoil Energy,Kinetic energy,Mass ratio,completelyelastic collision

699

Calculation of Average velocity(root mean square velocity) of molecule

Average velocity of molecule,Temperature of air,Molecular weight of object,Gas constant

700

Calculation of locus of electron in electrical field

locus of electron in electrical field,Charge of electron,Mass of electron,Velocity of electron,Voltage

701

Calculation of Velocity and Mass of moving electron

Velocity and Mass of moving electron,Mass of electron,Voltage for electron acceleration,Speed of light

702

Calculation of Minimum wavelength by DuaneHunt law

Velocity and Mass of moving electron,Mass of electron,Voltage for electron acceleration,Speed of light

703

Calculation of Bragg’’s law

Bragg’’s law,Angle between the incident ray and the scattering planes,Spacing between the planes in the atomic lattice,Order,Wavelength of incident wave

704

Calculation of Transformation efficiency of Xray

Constant,Atomic number of anode,Xray tube voltage

705

Calculation of Transmittance of Xray

Transmittance of Xray,Xray linear absorption coefficient,Thickness of absorber

706

Calculation of Altitude Correction Coefficient for mean wind speed by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Altitude Correction Coefficient for mean wind speed,Hub height

707

Calculation of Turbulence intensity at hub height on flat topography by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Turbulence intensity at hub height on flat topography

708

Calculation of Yearly average wind speed occurrence rate by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Yearly average wind speed occurrence rate

709

Calculation of Yearly average wind speed occurrence rate under Rayleigh distribution by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Yearly average wind speed occurrence rate,Rayleigh distribution

710

Calculation of Turbulence intensity of along wind for fatigue load and extreme wind load calculation by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Turbulence intensity of along wind for fatigue load and extreme wind load calculation

711

Average drag coefficient and Average lift coefficient of blade by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Average drag coefficient,Average lift coefficient,blade,Blade thickness ratio

712

Average drag coefficient and Average lift coefficient of Rectangle nacelle by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Average drag coefficient,Average lift coefficient,Rectangle nacelle

713

Average drag coefficient and Average lift coefficient of Spherical nacelle by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Average drag coefficient,Average liftft coefficient,Spherical nacelle

714

Calculation of Projected area of Rectangle nacelle by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Projected area of Rectangle nacelle

715

Calculation of Acceleration response spectra of horizontal and vertical components of seismic motion on engineering bedrock by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Acceleration response spectra of horizontal and vertical components of seismic motion on engineering bedrock,Basic maximum acceleration,Period

716

Calculation of Shear wave velocity of Surface Soil by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Shear wave velocity of Surface Soil,Nvalue,Depth,Alluvium,Diluvium,Clay,Fine sand,Medium sand,Coarse sand,Sand gravel,Gravel,geological time division,geological soil division

717

Calculation of Damping coefficient of Surface Soil by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Damping coefficient of Surface Soil,Shear strain,Basic ahear strain,Maximum damping coefficient

718

Calculation of Initial modulus of rigidity by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Initial modulus of rigidity,Unit weight of soil,Gravitational acceleration,Shear wave velocity of Surface Soil,Nvalue,Depth,Alluvium,Diluvium,Clay,Fine sand,Medium sand,Coarse sand,Sand gravel,Gravel,geological time division,geological soil division

719

Calculation of Young’’s module of soil by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Young’‘s module of soil,Poisson’’s ratio：ν,Density：ρ(kg/m^3),P wave velocity：Vp(m/s)

720

Calculation of Poisson’’s ratio of soil by 『Guidelines for Design of Wind Turbine Support Structures and Foundation December 2010』

Poisson’’s ratio：ν,Equivalent S wave velocity：Vse(m/s),S wave velocity：Vs(m/s),P wave velocity：Vp(m/s)

721

Calculation of Fixed end moment of the Floor Beam

Fixed end moment of the Floor Beam, Load

722

Calculation of Bending moment in the center of the Floor Beam：Simple beam

Bending moment in the center of the Floor Beam：Simple beam, Load

723

Calculation of Shear force of the Floor Beam：Simple beam

Shear force of the Floor Beam：Simple beam, Load

724

Calculation of Fixed end moment of the Floor Beam

Fixed end moment of the Floor Beam, Load

725

Calculation of Bending moment in the center of the Floor Beam：Simple beam

Bending moment in the center of the Floor Beam：Simple beam, Load

726

Calculation of Shear force of the Floor Beam：Simple beam

Shear force of the Floor Beam：Simple beam, Load

727

Calculation of Fixed end moment of the Floor Beam

Fixed end moment of the Floor Beam, Load

728

Calculation of Bending moment in the center of the Floor Beam：Simple beam

Bending moment in the center of the Floor Beam：Simple beam, Load

729

Calculation of Shear force of the Floor Beam：Simple beam

Shear force of the Floor Beam：Simple beam, Load
