Deflection due to Thrust on Arch Dam Calculator

✖Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.ⓘ Thrust of Abutments [F]			+10% -10%
✖Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K2 [K₂]			+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%

✖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 Thrust on Arch Dam [δ]

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Deflection due to Thrust on Arch Dam

Formula

`"δ" = "F"*"K"_{"2"}/("E")`

Example

`"62.92696m"="63.55N"*"10.1"/("10.2N/m²")`

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Deflection due to Thrust on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock)
δ = F*K₂/(E)
This formula uses 4 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).
Thrust of Abutments - (Measured in Newton) - Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.
Constant K2 - Constant K2 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.

STEP 1: Convert Input(s) to Base Unit

Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required
Constant K2: 10.1 --> No Conversion Required
Elastic Modulus of Rock: 10.2 Newton per Square Meter --> 10.2 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = F*K₂/(E) --> 63.55*10.1/(10.2)

Evaluating ... ...

δ = 62.9269607843137

STEP 3: Convert Result to Output's Unit

62.9269607843137 Meter --> No Conversion Required

FINAL ANSWER

62.9269607843137 ≈ 62.92696 Meter <-- Deflection due to Moments on Arch Dam

(Calculation completed in 00.004 seconds)

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< 3 Deflection on Arch Dams Calculators

Deflection due to Moments on Arch Dam

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

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

Deflection due to Shear on Arch Dam

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

Deflection due to Thrust on Arch Dam Formula

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

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 Thrust on Arch Dam?

Deflection due to Thrust on Arch Dam calculator uses Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock) to calculate the Deflection due to Moments on Arch Dam, Deflection due to Thrust on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal force exerted by water pressure against the curved shape of the dam. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to calculate Deflection due to Thrust on Arch Dam using this online calculator? To use this online calculator for Deflection due to Thrust on Arch Dam, enter Thrust of Abutments (F), Constant K2 (K₂) & Elastic Modulus of Rock (E) and hit the calculate button. Here is how the Deflection due to Thrust on Arch Dam calculation can be explained with given input values -> 62.92696 = 63.55*10.1/(10.2).

FAQ

What is Deflection due to Thrust on Arch Dam?

Deflection due to Thrust on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal force exerted by water pressure against the curved shape of the dam and is represented as δ = F*K₂/(E) or Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock). Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments, Constant K2 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.

How to calculate Deflection due to Thrust on Arch Dam?

Deflection due to Thrust on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal force exerted by water pressure against the curved shape of the dam is calculated using Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock). To calculate Deflection due to Thrust on Arch Dam, you need Thrust of Abutments (F), Constant K2 (K₂) & Elastic Modulus of Rock (E). With our tool, you need to enter the respective value for Thrust of Abutments, Constant K2 & Elastic Modulus of Rock 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 Thrust of Abutments, Constant K2 & Elastic Modulus of Rock. We can use 2 other way(s) to calculate the same, which is/are as follows -

Deflection due to Moments on Arch Dam = Shear Force*Constant K3/Elastic Modulus of Rock
Deflection due to Moments on Arch Dam = Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch)

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