Elastic Modulus of Rock given 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%
✖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 given Deflection due to Shear on Arch Dam [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Arch Dams Formulas PDF PDF Image

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under 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.
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).

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
Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = F_s*K₃/δ --> 48.5*9.99/48.1

Evaluating ... ...

E = 10.0730769230769

STEP 3: Convert Result to Output's Unit

10.0730769230769 Pascal -->10.0730769230769 Newton per Square Meter (Check conversion here)

FINAL ANSWER

10.0730769230769 ≈ 10.07308 Newton per Square Meter <-- Elastic Modulus of Rock

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Arch Dams » Elastic Modulus of Rock » Elastic Modulus of Rock given Deflection due to Shear on Arch Dam

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Elastic Modulus of Rock Calculators

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam

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

Elastic Modulus of Rock given Rotation due to Twist on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam

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

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam Formula

LaTeX Go

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

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 Elastic Modulus of Rock given Deflection due to Shear on Arch Dam?

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam calculator uses Elastic Modulus of Rock = Shear Force*Constant K3/Deflection due to Moments on Arch Dam to calculate the Elastic Modulus of Rock, Elastic Modulus of Rock given Deflection due to Shear on Arch Dam refers to its ability to resist deformation under shear stress. It is determined by measuring the deflection caused by shear forces acting on an arch dam, providing a measure of the material's stiffness and strength. Elastic Modulus of Rock is denoted by E symbol.

How to calculate Elastic Modulus of Rock given Deflection due to Shear on Arch Dam using this online calculator? To use this online calculator for Elastic Modulus of Rock given Deflection due to Shear on Arch Dam, enter Shear Force (F_s), Constant K3 (K₃) & Deflection due to Moments on Arch Dam (δ) and hit the calculate button. Here is how the Elastic Modulus of Rock given Deflection due to Shear on Arch Dam calculation can be explained with given input values -> 10.07308 = 48.5*9.99/48.1.

FAQ

What is Elastic Modulus of Rock given Deflection due to Shear on Arch Dam?

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam refers to its ability to resist deformation under shear stress. It is determined by measuring the deflection caused by shear forces acting on an arch dam, providing a measure of the material's stiffness and strength and is represented as E = F_s*K₃/δ or Elastic Modulus of Rock = Shear Force*Constant K3/Deflection due to Moments on Arch Dam. 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 & 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).

How to calculate Elastic Modulus of Rock given Deflection due to Shear on Arch Dam?

Elastic Modulus of Rock given Deflection due to Shear on Arch Dam refers to its ability to resist deformation under shear stress. It is determined by measuring the deflection caused by shear forces acting on an arch dam, providing a measure of the material's stiffness and strength is calculated using Elastic Modulus of Rock = Shear Force*Constant K3/Deflection due to Moments on Arch Dam. To calculate Elastic Modulus of Rock given Deflection due to Shear on Arch Dam, you need Shear Force (F_s), Constant K3 (K₃) & Deflection due to Moments on Arch Dam (δ). With our tool, you need to enter the respective value for Shear Force, Constant K3 & Deflection due to Moments on Arch Dam 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 Elastic Modulus of Rock?

In this formula, Elastic Modulus of Rock uses Shear Force, Constant K3 & Deflection due to Moments on Arch Dam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch)
Elastic Modulus of Rock = Thrust of Abutments*Constant K2/(Deflection due to Moments on Arch Dam)
Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2)

Home

FREE PDFs

🔍 Search