Constant K4 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%
✖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 given Rotation due to Twist on Arch Dam [K₄]

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Formula

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Constant K4 given Rotation due to Twist on Arch Dam

Formula

`"K"_{"4"} = ("E"*"t"^2)*"Φ"/"M"`

Example

`"10.08"=("10.2N/m²"*("1.2m")^2)*"35rad"/"51N*m"`

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Constant K4 given Rotation due to Twist on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Constant K4 - Constant K4 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.
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.
Cantilever Twisting Moment - (Measured in Newton Meter) - Cantilever Twisting Moment is defined as the moment occurred due to twist on the 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
Cantilever Twisting Moment: 51 Newton Meter --> 51 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₄ = (E*t^2)*Φ/M --> (10.2*1.2^2)*35/51

Evaluating ... ...

K₄ = 10.08

STEP 3: Convert Result to Output's Unit

10.08 --> No Conversion Required

FINAL ANSWER

10.08 <-- Constant K4

(Calculation completed in 00.004 seconds)

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< 6 Constant Thickness on Arch Dam Calculators

Constant K1 given Rotation due to Moment on Arch Dam

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

Constant K5 given Deflection due to Moments on Arch Dam

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

Constant K4 given Rotation due to Twist on Arch Dam

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

Constant K5 given Rotation due to Shear on Arch Dam

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

Constant K2 given Deflection due to Thrust on Arch Dam

Go Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments

Constant K3 given Deflection due to Shear on Arch Dam

Go Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force

Constant K4 given Rotation due to Twist on Arch Dam Formula

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

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 Constant K4 given Rotation due to Twist on Arch Dam?

Constant K4 given Rotation due to Twist on Arch Dam calculator uses Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment to calculate the Constant K4, Constant K4 given Rotation due to Twist on Arch Dam formula quantifies the relationship between the twist angle and the applied moments. Constant K4 is denoted by K₄ symbol.

How to calculate Constant K4 given Rotation due to Twist on Arch Dam using this online calculator? To use this online calculator for Constant K4 given Rotation due to Twist on Arch Dam, enter Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t), Angle of Rotation (Φ) & Cantilever Twisting Moment (M) and hit the calculate button. Here is how the Constant K4 given Rotation due to Twist on Arch Dam calculation can be explained with given input values -> 10.08 = (10.2*1.2^2)*35/51.

FAQ

What is Constant K4 given Rotation due to Twist on Arch Dam?

Constant K4 given Rotation due to Twist on Arch Dam formula quantifies the relationship between the twist angle and the applied moments and is represented as K₄ = (E*t^2)*Φ/M or Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment. 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 & Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam.

How to calculate Constant K4 given Rotation due to Twist on Arch Dam?

Constant K4 given Rotation due to Twist on Arch Dam formula quantifies the relationship between the twist angle and the applied moments is calculated using Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment. To calculate Constant K4 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) & Cantilever Twisting Moment (M). With our tool, you need to enter the respective value for Elastic Modulus of Rock, Horizontal Thickness of an Arch, Angle of Rotation & Cantilever Twisting Moment 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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