Elastic Modulus of Rock given Rotation 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 K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 [K₅]			+10% -10%
✖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%
✖Thickness of Circular Arch refers to the distance between the intrados (the inner curve or surface of the arch) and the extrados (the outer curve or surface of the arch).ⓘ Thickness of Circular Arch [T]			+10% -10%

✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock given Rotation due to Shear on Arch Dam [E]

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

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Rock = Shear Force*Constant K5/(Angle of Rotation*Thickness of Circular Arch)
E = F_s*K₅/(Φ*T)
This formula uses 5 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 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.
Thickness of Circular Arch - (Measured in Meter) - Thickness of Circular Arch refers to the distance between the intrados (the inner curve or surface of the arch) and the extrados (the outer curve or surface of the arch).

STEP 1: Convert Input(s) to Base Unit

Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required
Constant K5: 9.5 --> No Conversion Required
Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required
Thickness of Circular Arch: 1.21 Meter --> 1.21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = F_s*K₅/(Φ*T) --> 48.5*9.5/(35*1.21)

Evaluating ... ...

E = 10.8795749704841

STEP 3: Convert Result to Output's Unit

10.8795749704841 Pascal -->10.8795749704841 Newton per Square Meter (Check conversion here)

FINAL ANSWER

10.8795749704841 ≈ 10.87957 Newton per Square Meter <-- Elastic Modulus of Rock

(Calculation completed in 00.020 seconds)

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< 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 Rotation due to Shear on Arch Dam Formula

LaTeX Go

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

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 Rotation due to Shear on Arch Dam?

Elastic Modulus of Rock given Rotation due to Shear on Arch Dam calculator uses Elastic Modulus of Rock = Shear Force*Constant K5/(Angle of Rotation*Thickness of Circular Arch) to calculate the Elastic Modulus of Rock, Elastic Modulus of Rock given Rotation due to Shear on Arch Dam refers to its ability to resist deformation when subjected to shear forces, causing rotation in an arch dam structure. It measures the material's stiffness and determines its ability to maintain shape under applied stress. Elastic Modulus of Rock is denoted by E symbol.

How to calculate Elastic Modulus of Rock given Rotation due to Shear on Arch Dam using this online calculator? To use this online calculator for Elastic Modulus of Rock given Rotation due to Shear on Arch Dam, enter Shear Force (F_s), Constant K5 (K₅), Angle of Rotation (Φ) & Thickness of Circular Arch (T) and hit the calculate button. Here is how the Elastic Modulus of Rock given Rotation due to Shear on Arch Dam calculation can be explained with given input values -> 10.87957 = 48.5*9.5/(35*1.21).

FAQ

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

Elastic Modulus of Rock given Rotation due to Shear on Arch Dam refers to its ability to resist deformation when subjected to shear forces, causing rotation in an arch dam structure. It measures the material's stiffness and determines its ability to maintain shape under applied stress and is represented as E = F_s*K₅/(Φ*T) or Elastic Modulus of Rock = Shear Force*Constant K5/(Angle of Rotation*Thickness of Circular Arch). Shear Force is the force which causes shear deformation to occur in the shear plane, Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam, Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line & Thickness of Circular Arch refers to the distance between the intrados (the inner curve or surface of the arch) and the extrados (the outer curve or surface of the arch).

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

Elastic Modulus of Rock given Rotation due to Shear on Arch Dam refers to its ability to resist deformation when subjected to shear forces, causing rotation in an arch dam structure. It measures the material's stiffness and determines its ability to maintain shape under applied stress is calculated using Elastic Modulus of Rock = Shear Force*Constant K5/(Angle of Rotation*Thickness of Circular Arch). To calculate Elastic Modulus of Rock given Rotation due to Shear on Arch Dam, you need Shear Force (F_s), Constant K5 (K₅), Angle of Rotation (Φ) & Thickness of Circular Arch (T). With our tool, you need to enter the respective value for Shear Force, Constant K5, Angle of Rotation & Thickness of Circular Arch 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 K5, Angle of Rotation & Thickness of Circular Arch. 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 = Shear Force*Constant K3/Deflection due to Moments on Arch Dam

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