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

✖Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam.ⓘ Cantilever Twisting Moment [M]			+10% -10%
✖Constant K4 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K4 [K₄]			+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 Twist on Arch Dam [E]

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

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2)
E = M*K₄/(Φ*T^2)
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.
Cantilever Twisting Moment - (Measured in Newton Meter) - Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam.
Constant K4 - Constant K4 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

Cantilever Twisting Moment: 51 Newton Meter --> 51 Newton Meter No Conversion Required
Constant K4: 10.02 --> 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 = M*K₄/(Φ*T^2) --> 51*10.02/(35*1.21^2)

Evaluating ... ...

E = 9.9723867417331

STEP 3: Convert Result to Output's Unit

9.9723867417331 Pascal -->9.9723867417331 Newton per Square Meter (Check conversion here)

FINAL ANSWER

9.9723867417331 ≈ 9.972387 Newton per Square Meter <-- Elastic Modulus of Rock

(Calculation completed in 00.004 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 Twist on Arch Dam Formula

LaTeX Go

Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2)
E = M*K₄/(Φ*T^2)

What is Twisting Moment ?

Torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal, an SI unit for newtons per square metre, or in pounds per square inch while torque is expressed in newton metres or foot-pound force.

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

Elastic Modulus of Rock given Rotation due to Twist on Arch Dam calculator uses Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2) to calculate the Elastic Modulus of Rock, Elastic Modulus of Rock given Rotation due to Twist on Arch Dam refers to its ability to resist deformation under rotational stress caused by a twist on an arch dam. It quantifies the stiffness and rigidity of the rock material in response to such twisting forces. Elastic Modulus of Rock is denoted by E symbol.

How to calculate Elastic Modulus of Rock given Rotation due to Twist on Arch Dam using this online calculator? To use this online calculator for Elastic Modulus of Rock given Rotation due to Twist on Arch Dam, enter Cantilever Twisting Moment (M), Constant K4 (K₄), 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 Twist on Arch Dam calculation can be explained with given input values -> 9.972387 = 51*10.02/(35*1.21^2).

FAQ

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

Elastic Modulus of Rock given Rotation due to Twist on Arch Dam refers to its ability to resist deformation under rotational stress caused by a twist on an arch dam. It quantifies the stiffness and rigidity of the rock material in response to such twisting forces and is represented as E = M*K₄/(Φ*T^2) or Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2). Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam, Constant K4 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 Twist on Arch Dam?

Elastic Modulus of Rock given Rotation due to Twist on Arch Dam refers to its ability to resist deformation under rotational stress caused by a twist on an arch dam. It quantifies the stiffness and rigidity of the rock material in response to such twisting forces is calculated using Elastic Modulus of Rock = Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2). To calculate Elastic Modulus of Rock given Rotation due to Twist on Arch Dam, you need Cantilever Twisting Moment (M), Constant K4 (K₄), Angle of Rotation (Φ) & Thickness of Circular Arch (T). With our tool, you need to enter the respective value for Cantilever Twisting Moment, Constant K4, 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 Cantilever Twisting Moment, Constant K4, 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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