Constant K5 given Deflection due to Moments on Arch Dam Calculator

✖The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection due to Moments on Arch Dam [δ]			+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 K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 given Deflection due to Moments on Arch Dam [K₅]

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Constant K5 given Deflection due to Moments on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam
K₅ = δ*(E*t)/M_t
This formula uses 5 Variables

Variables Used

Constant K5 - Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.
Deflection due to Moments on Arch Dam - (Measured in Meter) - The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).
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

Deflection due to Moments on Arch Dam: 48.1 Meter --> 48.1 Meter 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

K₅ = δ*(E*t)/M_t --> 48.1*(10.2*1.2)/54.5

Evaluating ... ...

K₅ = 10.8026422018349

STEP 3: Convert Result to Output's Unit

10.8026422018349 --> No Conversion Required

FINAL ANSWER

10.8026422018349 ≈ 10.80264 <-- Constant K5

(Calculation completed in 00.004 seconds)

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< Constant Thickness on Arch Dam Calculators

Constant K1 given Rotation due to Moment on Arch Dam

LaTeX 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 K4 given Rotation due to Twist on Arch Dam

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

Constant K2 given Deflection due to Thrust on Arch Dam

LaTeX 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

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

Constant K5 given Deflection due to Moments on Arch Dam Formula

LaTeX Go

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

What is an Arch Dam ?

An Arch dam is a concrete dam that is curved upstream in plan. The arch dam is designed so that the force of the water against it, known as hydrostatic pressure, presses against the arch, causing the arch to straighten slightly and strengthening the structure as it pushes into its foundation or abutments.

How to Calculate Constant K5 given Deflection due to Moments on Arch Dam?

Constant K5 given Deflection due to Moments on Arch Dam calculator uses Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam to calculate the Constant K5, Constant K5 given Deflection due to Moments on Arch Dam, which is a measure of the structural deformation caused by the bending moments acting on the dam. It quantifies the relationship between the applied moments and the resulting deflection, aiding in the design and analysis of arch dams. Constant K5 is denoted by K₅ symbol.

How to calculate Constant K5 given Deflection due to Moments on Arch Dam using this online calculator? To use this online calculator for Constant K5 given Deflection due to Moments on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), 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 K5 given Deflection due to Moments on Arch Dam calculation can be explained with given input values -> 10.80264 = 48.1*(10.2*1.2)/54.5.

FAQ

What is Constant K5 given Deflection due to Moments on Arch Dam?

Constant K5 given Deflection due to Moments on Arch Dam, which is a measure of the structural deformation caused by the bending moments acting on the dam. It quantifies the relationship between the applied moments and the resulting deflection, aiding in the design and analysis of arch dams and is represented as K₅ = δ*(E*t)/M_t or Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam. The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation), 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 K5 given Deflection due to Moments on Arch Dam?

Constant K5 given Deflection due to Moments on Arch Dam, which is a measure of the structural deformation caused by the bending moments acting on the dam. It quantifies the relationship between the applied moments and the resulting deflection, aiding in the design and analysis of arch dams is calculated using Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam. To calculate Constant K5 given Deflection due to Moments on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), 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 Deflection due to Moments on Arch Dam, 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.

How many ways are there to calculate Constant K5?

In this formula, Constant K5 uses Deflection due to Moments on Arch Dam, Elastic Modulus of Rock, Horizontal Thickness of an Arch & Moment acting on Arch Dam. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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