Thrust given Deflection due to Thrust 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%
✖Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.ⓘ Constant K2 [K₂]			+10% -10%

✖Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.ⓘ Thrust given Deflection due to Thrust on Arch Dam [F]

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Thrust given Deflection due to Thrust on Arch Dam

Formula

`"F" = "δ"*"E"/"K"_{"2"}`

Example

`"48.57624N"="48.1m"*"10.2N/m²"/"10.1"`

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Thrust given Deflection due to Thrust on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2
F = δ*E/K₂
This formula uses 4 Variables

Variables Used

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.
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.
Constant K2 - Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

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)
Constant K2: 10.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = δ*E/K₂ --> 48.1*10.2/10.1

Evaluating ... ...

F = 48.5762376237624

STEP 3: Convert Result to Output's Unit

48.5762376237624 Newton --> No Conversion Required

FINAL ANSWER

48.5762376237624 ≈ 48.57624 Newton <-- Thrust of Abutments

(Calculation completed in 00.005 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 6 Thrust on Arch Dam Calculators

Thrust at Crown of Arch Dam given Moment at Abutments

Go Thrust of Abutments = Moment acting on Arch Dam/(Radius to Center Line of Arch*(sin(Theta)/(Theta-(cos(Theta)))))+Normal Radial Pressure*Radius to Center Line of Arch

Thrust at Crown of Arch Dam

Go Thrust of Abutments = (Normal Radial Pressure*Radius to Center Line of Arch)*(1-(2*Theta*sin(Theta*((Base Thickness/Radius to Center Line of Arch)^2)/12)/Diameter))

Thrust at Abutments of Arch Dam

Go Thrust from Water = Radial Pressure*Radius to Center Line of Arch-(Radial Pressure*Radius to Center Line of Arch-Thrust of Abutments)*cos(Theta)

Thrust given Extrados Stresses on Arch Dam

Go Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2)

Thrust given Intrados Stresses on Arch Dam

Go Thrust of Abutments = Intrados Stresses*Base Thickness-6*Moment acting on Arch Dam/Base Thickness

Thrust given Deflection due to Thrust on Arch Dam

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

Thrust given Deflection due to Thrust on Arch Dam Formula

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

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 Thrust given Deflection due to Thrust on Arch Dam?

Thrust given Deflection due to Thrust on Arch Dam calculator uses Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2 to calculate the Thrust of Abutments, Thrust given Deflection due to Thrust on Arch Dam is the force exerted by water pressure on an arch dam. Deflection due to thrust refers to the deformation or bending of the dam caused by the thrust force, which must be accounted for in dam design to ensure structural stability. Thrust of Abutments is denoted by F symbol.

How to calculate Thrust given Deflection due to Thrust on Arch Dam using this online calculator? To use this online calculator for Thrust given Deflection due to Thrust on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K2 (K₂) and hit the calculate button. Here is how the Thrust given Deflection due to Thrust on Arch Dam calculation can be explained with given input values -> 48.57624 = 48.1*10.2/10.1.

FAQ

What is Thrust given Deflection due to Thrust on Arch Dam?

Thrust given Deflection due to Thrust on Arch Dam is the force exerted by water pressure on an arch dam. Deflection due to thrust refers to the deformation or bending of the dam caused by the thrust force, which must be accounted for in dam design to ensure structural stability and is represented as F = δ*E/K₂ or Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2. 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 & Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

How to calculate Thrust given Deflection due to Thrust on Arch Dam?

Thrust given Deflection due to Thrust on Arch Dam is the force exerted by water pressure on an arch dam. Deflection due to thrust refers to the deformation or bending of the dam caused by the thrust force, which must be accounted for in dam design to ensure structural stability is calculated using Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2. To calculate Thrust given Deflection due to Thrust on Arch Dam, you need Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K2 (K₂). With our tool, you need to enter the respective value for Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Constant K2 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 Thrust of Abutments?

In this formula, Thrust of Abutments uses Deflection due to Moments on Arch Dam, Elastic Modulus of Rock & Constant K2. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thrust of Abutments = (Normal Radial Pressure*Radius to Center Line of Arch)*(1-(2*Theta*sin(Theta*((Base Thickness/Radius to Center Line of Arch)^2)/12)/Diameter))
Thrust of Abutments = Moment acting on Arch Dam/(Radius to Center Line of Arch*(sin(Theta)/(Theta-(cos(Theta)))))+Normal Radial Pressure*Radius to Center Line of Arch
Thrust of Abutments = Intrados Stresses*Base Thickness-6*Moment acting on Arch Dam/Base Thickness
Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2)

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