Constant K1 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%
✖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 given Rotation due to Moment on Arch Dam [K₁]

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Formula

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Constant K1 given Rotation due to Moment on Arch Dam

Formula

`"K"_{"1"} = ("Φ"*("E"*"t"*"t"))/"M"_{"t"}`

Example

`"9.432661"=("35rad"*("10.2N/m²"*"1.2m"*"1.2m"))/"54.5N*m"`

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Constant K1 given Rotation due to Moment on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Moment acting on Arch Dam: 54.5 Newton Meter --> 54.5 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₁ = (Φ*(E*t*t))/M_t --> (35*(10.2*1.2*1.2))/54.5

Evaluating ... ...

K₁ = 9.43266055045871

STEP 3: Convert Result to Output's Unit

9.43266055045871 --> No Conversion Required

FINAL ANSWER

9.43266055045871 ≈ 9.432661 <-- Constant K1

(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 K1 given Rotation due to Moment on Arch Dam Formula

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

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 Constant K1 given Rotation due to Moment on Arch Dam?

Constant K1 given Rotation due to Moment on Arch Dam calculator uses Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam to calculate the Constant K1, Constant K1 given Rotation due to Moment on Arch Dam formula quantifies the relationship between the applied moment and the resulting rotation of the dam. Constant K1 is denoted by K₁ symbol.

How to calculate Constant K1 given Rotation due to Moment on Arch Dam using this online calculator? To use this online calculator for Constant K1 given Rotation due to Moment on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) and hit the calculate button. Here is how the Constant K1 given Rotation due to Moment on Arch Dam calculation can be explained with given input values -> 9.432661 = (35*(10.2*1.2*1.2))/54.5.

FAQ

What is Constant K1 given Rotation due to Moment on Arch Dam?

Constant K1 given Rotation due to Moment on Arch Dam formula quantifies the relationship between the applied moment and the resulting rotation of the dam and is represented as K₁ = (Φ*(E*t*t))/M_t or Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam. 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 & 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.

How to calculate Constant K1 given Rotation due to Moment on Arch Dam?

Constant K1 given Rotation due to Moment on Arch Dam formula quantifies the relationship between the applied moment and the resulting rotation of the dam is calculated using Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam. To calculate Constant K1 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) & Moment acting on Arch Dam (M_t). With our tool, you need to enter the respective value for Angle of Rotation, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Moment acting on Arch Dam 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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