Shear Force 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%
✖Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 [K₅]			+10% -10%

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force given Rotation due to Shear on Arch Dam [F_s]

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Shear Force given Rotation due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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.
Constant K5 - Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

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
Constant K5: 9.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = Φ*(E*t)/K₅ --> 35*(10.2*1.2)/9.5

Evaluating ... ...

F_s = 45.0947368421053

STEP 3: Convert Result to Output's Unit

45.0947368421053 Newton --> No Conversion Required

FINAL ANSWER

45.0947368421053 ≈ 45.09474 Newton <-- Shear Force

(Calculation completed in 00.004 seconds)

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< Arch Dams Calculators

Angle between Crown and Abutments given Thrust at Abutments of Arch Dam

LaTeX Go Theta = acos((Thrust from Water-Radial Pressure*Radius to Center Line of Arch)/(-Radial Pressure*Radius to Center Line of Arch+Thrust of Abutments))

Radius to centerline given Thrust at Abutments of Arch Dam

LaTeX Go Radius to Center Line of Arch = ((Thrust from Water-Thrust of Abutments*cos(Theta))/(1-cos(Theta)))/Radial Pressure

Intrados Stresses on Arch Dam

LaTeX Go Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)+(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))

Extrados Stresses on Arch Dam

LaTeX Go Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))

Shear Force given Rotation due to Shear on Arch Dam Formula

LaTeX Go

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

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 Shear Force given Rotation due to Shear on Arch Dam?

Shear Force given Rotation due to Shear on Arch Dam calculator uses Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5 to calculate the Shear Force, Shear Force given Rotation due to Shear on Arch Dam formula is defined as force acting along member or along abutment of dam. Shear Force is denoted by F_s symbol.

How to calculate Shear Force given Rotation due to Shear on Arch Dam using this online calculator? To use this online calculator for Shear Force given Rotation due to Shear on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K5 (K₅) and hit the calculate button. Here is how the Shear Force given Rotation due to Shear on Arch Dam calculation can be explained with given input values -> 45.09474 = 35*(10.2*1.2)/9.5.

FAQ

What is Shear Force given Rotation due to Shear on Arch Dam?

Shear Force given Rotation due to Shear on Arch Dam formula is defined as force acting along member or along abutment of dam and is represented as F_s = Φ*(E*t)/K₅ or Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5. 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 & Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

How to calculate Shear Force given Rotation due to Shear on Arch Dam?

Shear Force given Rotation due to Shear on Arch Dam formula is defined as force acting along member or along abutment of dam is calculated using Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5. To calculate Shear Force 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) & Constant K5 (K₅). With our tool, you need to enter the respective value for Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Constant K5 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 Shear Force?

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

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

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