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

✖Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.ⓘ Moment acting on Arch Dam [M_t]			+10% -10%
✖Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K1 [K₁]			+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%
✖Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.ⓘ Horizontal Thickness of an 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 Moment on Arch Dam [E]

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

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch)
E = M_t*K₁/(Φ*T*t)
This formula uses 6 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.
Moment acting on Arch Dam - (Measured in Joule) - Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.
Constant K1 - Constant K1 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).
Horizontal Thickness of an Arch - (Measured in Meter) - Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.

STEP 1: Convert Input(s) to Base Unit

Moment acting on Arch Dam: 54.5 Newton Meter --> 54.5 Joule (Check conversion here)
Constant K1: 10.01 --> 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
Horizontal Thickness of an Arch: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = M_t*K₁/(Φ*T*t) --> 54.5*10.01/(35*1.21*1.2)

Evaluating ... ...

E = 10.7348484848485

STEP 3: Convert Result to Output's Unit

10.7348484848485 Pascal -->10.7348484848485 Newton per Square Meter (Check conversion here)

FINAL ANSWER

10.7348484848485 ≈ 10.73485 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 Moment on Arch Dam Formula

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)
E = M_t*K₁/(Φ*T*t)

What is Elastic Modulus of Rock ?

The elastic modulus describes the linear elastic deformation response of rock under deformation. The static elastic modulus of an intact rock, Ei, is typically calculated as the slope of the stress–strain curve of a rock deforming under uniaxial compression (Ulusay and Hudson 2007).

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

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam calculator uses Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch) to calculate the Elastic Modulus of Rock, Elastic Modulus of Rock given Rotation due to Moment on Arch Dam refers to its stiffness or resistance to deformation. It is calculated by measuring the rotation due to a moment applied to an arch dam, which represents the rock's ability to withstand bending forces. Elastic Modulus of Rock is denoted by E symbol.

How to calculate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam using this online calculator? To use this online calculator for Elastic Modulus of Rock given Rotation due to Moment on Arch Dam, enter Moment acting on Arch Dam (M_t), Constant K1 (K₁), Angle of Rotation (Φ), Thickness of Circular Arch (T) & Horizontal Thickness of an Arch (t) and hit the calculate button. Here is how the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam calculation can be explained with given input values -> 10.73485 = 54.5*10.01/(35*1.21*1.2).

FAQ

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

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam refers to its stiffness or resistance to deformation. It is calculated by measuring the rotation due to a moment applied to an arch dam, which represents the rock's ability to withstand bending forces and is represented as E = M_t*K₁/(Φ*T*t) or Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch). Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member, Constant K1 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) & Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.

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

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam refers to its stiffness or resistance to deformation. It is calculated by measuring the rotation due to a moment applied to an arch dam, which represents the rock's ability to withstand bending forces is calculated using Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch). To calculate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam, you need Moment acting on Arch Dam (M_t), Constant K1 (K₁), Angle of Rotation (Φ), Thickness of Circular Arch (T) & Horizontal Thickness of an Arch (t). With our tool, you need to enter the respective value for Moment acting on Arch Dam, Constant K1, Angle of Rotation, Thickness of Circular Arch & Horizontal Thickness of an 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 Moment acting on Arch Dam, Constant K1, Angle of Rotation, Thickness of Circular Arch & Horizontal Thickness of an Arch. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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