Deflection due to Shear on Arch Dam Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]			+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%
✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock [E]			+10% -10%

✖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 Shear on Arch Dam [δ]

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Deflection due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Constant K3 - Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required
Constant K3: 9.99 --> No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = F_s*K₃/E --> 48.5*9.99/10.2

Evaluating ... ...

δ = 47.5014705882353

STEP 3: Convert Result to Output's Unit

47.5014705882353 Meter --> No Conversion Required

FINAL ANSWER

47.5014705882353 ≈ 47.50147 Meter <-- Deflection due to Moments on Arch Dam

(Calculation completed in 00.020 seconds)

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< Deflection on Arch Dams Calculators

Deflection due to Moments on Arch Dam

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

Deflection due to Thrust on Arch Dam

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

Deflection due to Shear on Arch Dam

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

Deflection due to Shear on Arch Dam Formula

LaTeX Go

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

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 Deflection due to Shear on Arch Dam?

Deflection due to Shear on Arch Dam calculator uses Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock to calculate the Deflection due to Moments on Arch Dam, Deflection due to Shear on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal forces generated by water pressure. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to calculate Deflection due to Shear on Arch Dam using this online calculator? To use this online calculator for Deflection due to Shear on Arch Dam, enter Shear Force (F_s), Constant K3 (K₃) & Elastic Modulus of Rock (E) and hit the calculate button. Here is how the Deflection due to Shear on Arch Dam calculation can be explained with given input values -> 47.50147 = 48.5*9.99/10.2.

FAQ

What is Deflection due to Shear on Arch Dam?

Deflection due to Shear on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal forces generated by water pressure and is represented as δ = F_s*K₃/E or Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock. Shear Force is the force which causes shear deformation to occur in the shear plane, Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam & Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.

How to calculate Deflection due to Shear on Arch Dam?

Deflection due to Shear on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal forces generated by water pressure is calculated using Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock. To calculate Deflection due to Shear on Arch Dam, you need Shear Force (F_s), Constant K3 (K₃) & Elastic Modulus of Rock (E). With our tool, you need to enter the respective value for Shear Force, Constant K3 & Elastic Modulus of Rock 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 Deflection due to Moments on Arch Dam?

In this formula, Deflection due to Moments on Arch Dam uses Shear Force, Constant K3 & Elastic Modulus of Rock. We can use 2 other way(s) to calculate the same, which is/are as follows -

Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock)
Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch)

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