Constant K5 given Rotation due to Shear on Arch Dam Calculator

✖Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.ⓘ Angle of Rotation [Φ]			+10% -10%
✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock [E]			+10% -10%
✖Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.ⓘ Horizontal Thickness of an Arch [t]			+10% -10%
✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]			+10% -10%

✖Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 given Rotation due to Shear on Arch Dam [K₅]

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Formula

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Constant K5 given Rotation due to Shear on Arch Dam

Formula

`"K"_{"5"} = "Φ"*("E"*"t")/"F"_{"s"}`

Example

`"8.83299"="35rad"*("10.2N/m²"*"1.2m")/"48.5N"`

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Constant K5 given Rotation due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force
K₅ = Φ*(E*t)/F_s
This formula uses 5 Variables

Variables Used

Constant K5 - Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Angle of Rotation - (Measured in Radian) - Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
Horizontal Thickness of an Arch - (Measured in Meter) - Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.

STEP 1: Convert Input(s) to Base Unit

Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Horizontal Thickness of an Arch: 1.2 Meter --> 1.2 Meter No Conversion Required
Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₅ = Φ*(E*t)/F_s --> 35*(10.2*1.2)/48.5

Evaluating ... ...

K₅ = 8.83298969072165

STEP 3: Convert Result to Output's Unit

8.83298969072165 --> No Conversion Required

FINAL ANSWER

8.83298969072165 ≈ 8.83299 <-- Constant K5

(Calculation completed in 00.004 seconds)

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< 6 Constant Thickness on Arch Dam Calculators

Constant K1 given Rotation due to Moment on Arch Dam

Go Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam

Constant K5 given Deflection due to Moments on Arch Dam

Go Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam

Constant K4 given Rotation due to Twist on Arch Dam

Go Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment

Constant K5 given Rotation due to Shear on Arch Dam

Go Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force

Constant K2 given Deflection due to Thrust on Arch Dam

Go Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments

Constant K3 given Deflection due to Shear on Arch Dam

Go Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force

Constant K5 given Rotation due to Shear on Arch Dam Formula

Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force
K₅ = Φ*(E*t)/F_s

What is Shear Force ?

Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction. When the forces are colinear, they are called compression forces.

How to Calculate Constant K5 given Rotation due to Shear on Arch Dam?

Constant K5 given Rotation due to Shear on Arch Dam calculator uses Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force to calculate the Constant K5, Constant K5 given Rotation due to Shear on Arch Dam formula quantifies the relationship between the applied shear stress and the resulting angular displacement of the dam, providing a measure of its resistance to shear-induced deformation. Constant K5 is denoted by K₅ symbol.

How to calculate Constant K5 given Rotation due to Shear on Arch Dam using this online calculator? To use this online calculator for Constant K5 given Rotation due to Shear on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Shear Force (F_s) and hit the calculate button. Here is how the Constant K5 given Rotation due to Shear on Arch Dam calculation can be explained with given input values -> 8.83299 = 35*(10.2*1.2)/48.5.

FAQ

What is Constant K5 given Rotation due to Shear on Arch Dam?

Constant K5 given Rotation due to Shear on Arch Dam formula quantifies the relationship between the applied shear stress and the resulting angular displacement of the dam, providing a measure of its resistance to shear-induced deformation and is represented as K₅ = Φ*(E*t)/F_s or Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force. Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line, Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation, Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis & Shear Force is the force which causes shear deformation to occur in the shear plane.

How to calculate Constant K5 given Rotation due to Shear on Arch Dam?

Constant K5 given Rotation due to Shear on Arch Dam formula quantifies the relationship between the applied shear stress and the resulting angular displacement of the dam, providing a measure of its resistance to shear-induced deformation is calculated using Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force. To calculate Constant K5 given Rotation due to Shear on Arch Dam, you need Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Shear Force (F_s). With our tool, you need to enter the respective value for Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Shear Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Constant K5?

In this formula, Constant K5 uses Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Shear Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam

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