Shear Force given Deflection due to Shear on Arch Dam Calculator

✖The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection due to Moments on Arch Dam [δ]			+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%
✖Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K3 [K₃]			+10% -10%

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

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Shear Force given Deflection due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3
F_s = δ*E/K₃
This formula uses 4 Variables

Variables Used

Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Deflection due to Moments on Arch Dam - (Measured in Meter) - The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
Constant K3 - Constant K3 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

Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Constant K3: 9.99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = δ*E/K₃ --> 48.1*10.2/9.99

Evaluating ... ...

F_s = 49.1111111111111

STEP 3: Convert Result to Output's Unit

49.1111111111111 Newton --> No Conversion Required

FINAL ANSWER

49.1111111111111 ≈ 49.11111 Newton <-- Shear Force

(Calculation completed in 00.020 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 Deflection due to Shear on Arch Dam Formula

LaTeX Go

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

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 Deflection due to Shear on Arch Dam?

Shear Force given Deflection due to Shear on Arch Dam calculator uses Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3 to calculate the Shear Force, Shear Force given Deflection due to Shear on Arch Dam refers to the internal force that is perpendicular to the longitudinal axis of the dam and is generated due to the deflection caused by the applied shear forces, such as water pressure. Shear Force is denoted by F_s symbol.

How to calculate Shear Force given Deflection due to Shear on Arch Dam using this online calculator? To use this online calculator for Shear Force given Deflection due to Shear on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K3 (K₃) and hit the calculate button. Here is how the Shear Force given Deflection due to Shear on Arch Dam calculation can be explained with given input values -> 49.11111 = 48.1*10.2/9.99.

FAQ

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

Shear Force given Deflection due to Shear on Arch Dam refers to the internal force that is perpendicular to the longitudinal axis of the dam and is generated due to the deflection caused by the applied shear forces, such as water pressure and is represented as F_s = δ*E/K₃ or Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3. The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation), Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation & Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

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

Shear Force given Deflection due to Shear on Arch Dam refers to the internal force that is perpendicular to the longitudinal axis of the dam and is generated due to the deflection caused by the applied shear forces, such as water pressure is calculated using Shear Force = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3. To calculate Shear Force given Deflection due to Shear on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K3 (K₃). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Constant K3 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 Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Constant K3. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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