Moments given Rotation due to Twist on Arch Dam Calculator

✖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%
✖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%
✖Constant K4 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K4 [K₄]			+10% -10%

✖Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam.ⓘ Moments given Rotation due to Twist on Arch Dam [M]

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Moments given Rotation due to Twist on Arch Dam

Formula

`"M" = ("E"*"t"^2)*"Φ"/"K"_{"4"}`

Example

`"51.30539N*m"=("10.2N/m²"*("1.2m")^2)*"35rad"/"10.02"`

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Moments given Rotation due to Twist on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4
M = (E*t^2)*Φ/K₄
This formula uses 5 Variables

Variables Used

Cantilever Twisting Moment - (Measured in Newton Meter) - Cantilever Twisting Moment is defined as the moment occurred due to twist on the 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.
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.
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.
Constant K4 - Constant K4 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

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
Angle of Rotation: 35 Radian --> 35 Radian No Conversion Required
Constant K4: 10.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (E*t^2)*Φ/K₄ --> (10.2*1.2^2)*35/10.02

Evaluating ... ...

M = 51.3053892215569

STEP 3: Convert Result to Output's Unit

51.3053892215569 Newton Meter --> No Conversion Required

FINAL ANSWER

51.3053892215569 ≈ 51.30539 Newton Meter <-- Cantilever Twisting Moment

(Calculation completed in 00.004 seconds)

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< 7 Moments acting on Arch Dam Calculators

Moment at Abutments of Arch Dam

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

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

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

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

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

Moments given Deflection due to Moments on Arch Dam

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

Moments given Rotation due to Twist on Arch Dam

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

Moments given Rotation due to Twist on Arch Dam Formula

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

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 Moments given Rotation due to Twist on Arch Dam?

Moments given Rotation due to Twist on Arch Dam calculator uses Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4 to calculate the Cantilever Twisting Moment, Moments given Rotation due to Twist on Arch Dam formula is defined as couple acting on dam occurring twisting action. Cantilever Twisting Moment is denoted by M symbol.

How to calculate Moments given Rotation due to Twist on Arch Dam using this online calculator? To use this online calculator for Moments given Rotation due to Twist on Arch Dam, enter Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t), Angle of Rotation (Φ) & Constant K4 (K₄) and hit the calculate button. Here is how the Moments given Rotation due to Twist on Arch Dam calculation can be explained with given input values -> 51.30539 = (10.2*1.2^2)*35/10.02.

FAQ

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

Moments given Rotation due to Twist on Arch Dam formula is defined as couple acting on dam occurring twisting action and is represented as M = (E*t^2)*Φ/K₄ or Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4. 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, Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line & Constant K4 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 Twist on Arch Dam?

Moments given Rotation due to Twist on Arch Dam formula is defined as couple acting on dam occurring twisting action is calculated using Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4. To calculate Moments given Rotation due to Twist on Arch Dam, you need Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t), Angle of Rotation (Φ) & Constant K4 (K₄). With our tool, you need to enter the respective value for Elastic Modulus of Rock, Horizontal Thickness of an Arch, Angle of Rotation & Constant K4 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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