Moments given Rotation due to Moment on Arch Dam Calculator

✖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%
✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock [E]			+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%
✖Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K1 [K₁]			+10% -10%

✖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.ⓘ Moments given Rotation due to Moment on Arch Dam [M_t]

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Moments given Rotation due to Moment on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment acting on Arch Dam = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Constant K1
M_t = (Φ*(E*t*t))/K₁
This formula uses 5 Variables

Variables Used

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.
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.
Elastic Modulus of Rock - (Measured in Pascal) - Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.
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.
Constant K1 - Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

STEP 1: Convert Input(s) to Base Unit

Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Horizontal Thickness of an Arch: 1.2 Meter --> 1.2 Meter No Conversion Required
Constant K1: 10.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = (Φ*(E*t*t))/K₁ --> (35*(10.2*1.2*1.2))/10.01

Evaluating ... ...

M_t = 51.3566433566434

STEP 3: Convert Result to Output's Unit

51.3566433566434 Joule -->51.3566433566434 Newton Meter (Check conversion here)

FINAL ANSWER

51.3566433566434 ≈ 51.35664 Newton Meter <-- Moment acting on Arch Dam

(Calculation completed in 00.004 seconds)

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< Moments acting on Arch Dam Calculators

Moment at Abutments of Arch Dam

LaTeX Go Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))

Moment at Crown of Arch Dam

LaTeX Go Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))

Moments given Intrados Stresses on Arch Dam

LaTeX Go Moment acting on Arch Dam = (Intrados Stresses*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch-Thrust of Abutments*Horizontal Thickness of an Arch)/6

Moments given Extrados Stresses on Arch Dam

LaTeX Go Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6

Moments given Rotation due to Moment on Arch Dam Formula

LaTeX Go

Moment acting on Arch Dam = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Constant K1
M_t = (Φ*(E*t*t))/K₁

What is Couple Moment ?

A couple is a system of forces with a resultant moment but no resultant force. A better term is force couple or pure moment. Its effect is to create rotation without translation, or more generally without any acceleration of the centre of mass.

How to Calculate Moments given Rotation due to Moment on Arch Dam?

Moments given Rotation due to Moment on Arch Dam calculator uses Moment acting on Arch Dam = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Constant K1 to calculate the Moment acting on Arch Dam, Moments given Rotation due to Moment on Arch Dam formula is as applied couple on member or arch dam. Moment acting on Arch Dam is denoted by M_t symbol.

How to calculate Moments given Rotation due to Moment on Arch Dam using this online calculator? To use this online calculator for Moments given Rotation due to Moment on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K1 (K₁) and hit the calculate button. Here is how the Moments given Rotation due to Moment on Arch Dam calculation can be explained with given input values -> 51.35664 = (35*(10.2*1.2*1.2))/10.01.

FAQ

What is Moments given Rotation due to Moment on Arch Dam?

Moments given Rotation due to Moment on Arch Dam formula is as applied couple on member or arch dam and is represented as M_t = (Φ*(E*t*t))/K₁ or Moment acting on Arch Dam = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Constant K1. Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line, Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation, 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 & Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

How to calculate Moments given Rotation due to Moment on Arch Dam?

Moments given Rotation due to Moment on Arch Dam formula is as applied couple on member or arch dam is calculated using Moment acting on Arch Dam = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Constant K1. To calculate Moments given Rotation due to Moment on Arch Dam, you need Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K1 (K₁). With our tool, you need to enter the respective value for Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Constant K1 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 Moment acting on Arch Dam?

In this formula, Moment acting on Arch Dam uses Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Constant K1. We can use 3 other way(s) to calculate the same, which is/are as follows -

Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = (Intrados Stresses*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch-Thrust of Abutments*Horizontal Thickness of an Arch)/6

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