Radial Thickness of Element 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%
✖Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.ⓘ Elastic Modulus of Rock [E]			+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%

✖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.ⓘ Radial Thickness of Element given Rotation due to moment on Arch Dam [t]

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Radial Thickness of Element given Rotation due to moment on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5
t = (M_t*K₁/(E*Φ))^0.5
This formula uses 5 Variables

Variables Used

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

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
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)
Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (M_t*K₁/(E*Φ))^0.5 --> (54.5*10.01/(10.2*35))^0.5

Evaluating ... ...

t = 1.23617848828636

STEP 3: Convert Result to Output's Unit

1.23617848828636 Meter --> No Conversion Required

FINAL ANSWER

1.23617848828636 ≈ 1.236178 Meter <-- Horizontal Thickness of an Arch

(Calculation completed in 00.020 seconds)

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< Radial Thickness of Element Calculators

Radial Thickness of Element given Deflection due to Moments on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Deflection due to Moments on Arch Dam)

Radial Thickness of Element given Rotation due to Twist on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = (Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5

Radial Thickness of Element given Rotation due to moment on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5

Radial Thickness of Element given Rotation due to Shear on Arch Dam

LaTeX Go Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation)

Radial Thickness of Element given Rotation due to moment on Arch Dam Formula

LaTeX Go

Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5
t = (M_t*K₁/(E*Φ))^0.5

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 Radial Thickness of Element given Rotation due to moment on Arch Dam?

Radial Thickness of Element given Rotation due to moment on Arch Dam calculator uses Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5 to calculate the Horizontal Thickness of an Arch, Radial Thickness of Element given Rotation due to moment on Arch Dam is defined as thickness along particular direction. Horizontal Thickness of an Arch is denoted by t symbol.

How to calculate Radial Thickness of Element given Rotation due to moment on Arch Dam using this online calculator? To use this online calculator for Radial Thickness of Element given Rotation due to moment on Arch Dam, enter Moment acting on Arch Dam (M_t), Constant K1 (K₁), Elastic Modulus of Rock (E) & Angle of Rotation (Φ) and hit the calculate button. Here is how the Radial Thickness of Element given Rotation due to moment on Arch Dam calculation can be explained with given input values -> 1.236178 = (54.5*10.01/(10.2*35))^0.5.

FAQ

What is Radial Thickness of Element given Rotation due to moment on Arch Dam?

Radial Thickness of Element given Rotation due to moment on Arch Dam is defined as thickness along particular direction and is represented as t = (M_t*K₁/(E*Φ))^0.5 or Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5. 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, Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation & Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.

How to calculate Radial Thickness of Element given Rotation due to moment on Arch Dam?

Radial Thickness of Element given Rotation due to moment on Arch Dam is defined as thickness along particular direction is calculated using Horizontal Thickness of an Arch = (Moment acting on Arch Dam*Constant K1/(Elastic Modulus of Rock*Angle of Rotation))^0.5. To calculate Radial Thickness of Element given Rotation due to moment on Arch Dam, you need Moment acting on Arch Dam (M_t), Constant K1 (K₁), Elastic Modulus of Rock (E) & Angle of Rotation (Φ). With our tool, you need to enter the respective value for Moment acting on Arch Dam, Constant K1, Elastic Modulus of Rock & Angle of Rotation 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 Horizontal Thickness of an Arch?

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

Horizontal Thickness of an Arch = (Cantilever Twisting Moment*Constant K4/(Elastic Modulus of Rock*Angle of Rotation))^0.5
Horizontal Thickness of an Arch = Shear Force*Constant K5/(Elastic Modulus of Rock*Angle of Rotation)
Horizontal Thickness of an Arch = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Deflection due to Moments on Arch Dam)

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