Deflection due to Moments 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 K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K5 [K₅]			+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%

✖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]

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Deflection due to Moments on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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 K5 - Constant K5 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.

STEP 1: Convert Input(s) to Base Unit

Moment acting on Arch Dam: 54.5 Newton Meter --> 54.5 Joule (Check conversion here)
Constant K5: 9.5 --> 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = M_t*K₅/(E*t) --> 54.5*9.5/(10.2*1.2)

Evaluating ... ...

δ = 42.2998366013072

STEP 3: Convert Result to Output's Unit

42.2998366013072 Meter --> No Conversion Required

FINAL ANSWER

42.2998366013072 ≈ 42.29984 Meter <-- Deflection due to Moments on Arch Dam

(Calculation completed in 00.020 seconds)

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< Deflection on Arch Dams Calculators

Deflection due to Moments on Arch Dam

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

Deflection due to Thrust on Arch Dam

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

Deflection due to Shear on Arch Dam

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

Deflection due to Moments on Arch Dam Formula

LaTeX Go

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

Deflection due to Moments on Arch Dam calculator uses Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch) to calculate the Deflection due to Moments on Arch Dam, Deflection due to Moments on Arch Dam refers to the bending or deformation experienced by the dam structure in response to applied moments. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to calculate Deflection due to Moments on Arch Dam using this online calculator? To use this online calculator for Deflection due to Moments on Arch Dam, enter Moment acting on Arch Dam (M_t), Constant K5 (K₅), Elastic Modulus of Rock (E) & Horizontal Thickness of an Arch (t) and hit the calculate button. Here is how the Deflection due to Moments on Arch Dam calculation can be explained with given input values -> 42.29984 = 54.5*9.5/(10.2*1.2).

FAQ

What is Deflection due to Moments on Arch Dam?

Deflection due to Moments on Arch Dam refers to the bending or deformation experienced by the dam structure in response to applied moments and is represented as δ = M_t*K₅/(E*t) or Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch). 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 K5 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 & 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.

How to calculate Deflection due to Moments on Arch Dam?

Deflection due to Moments on Arch Dam refers to the bending or deformation experienced by the dam structure in response to applied moments is calculated using Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch). To calculate Deflection due to Moments on Arch Dam, you need Moment acting on Arch Dam (M_t), Constant K5 (K₅), Elastic Modulus of Rock (E) & Horizontal Thickness of an Arch (t). With our tool, you need to enter the respective value for Moment acting on Arch Dam, Constant K5, Elastic Modulus of Rock & Horizontal Thickness of an Arch 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 Deflection due to Moments on Arch Dam?

In this formula, Deflection due to Moments on Arch Dam uses Moment acting on Arch Dam, Constant K5, Elastic Modulus of Rock & Horizontal Thickness of an Arch. We can use 2 other way(s) to calculate the same, which is/are as follows -

Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock)
Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock

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