Thrust given Extrados Stresses on Arch Dam Calculator

✖Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam.ⓘ Intrados Stresses [S]			+10% -10%
✖Base Thickness is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis or centerline crest of the dam.ⓘ Base Thickness [T_b]			+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%

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

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Thrust given Extrados Stresses on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2)
F = S*T_b+6*M_t/(T_b^2)
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.
Intrados Stresses - (Measured in Kilonewton per Square Meter) - Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam.
Base Thickness - (Measured in Meter) - Base Thickness is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis or centerline crest of the dam.
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

Intrados Stresses: 250 Newton per Square Meter --> 0.25 Kilonewton per Square Meter (Check conversion here)
Base Thickness: 1.3 Meter --> 1.3 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

F = S*T_b+6*M_t/(T_b^2) --> 0.25*1.3+6*54.5/(1.3^2)

Evaluating ... ...

F = 193.816124260355

STEP 3: Convert Result to Output's Unit

193.816124260355 Newton --> No Conversion Required

FINAL ANSWER

193.816124260355 ≈ 193.8161 Newton <-- Thrust of Abutments

(Calculation completed in 00.007 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Thrust on Arch Dam Calculators

Thrust at Crown of Arch Dam given Moment at Abutments

LaTeX 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

LaTeX 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

LaTeX 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 Intrados Stresses on Arch Dam

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

Thrust given Extrados Stresses on Arch Dam Formula

LaTeX Go

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

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 Extrados Stresses on Arch Dam?

Thrust given Extrados Stresses on Arch Dam calculator uses Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2) to calculate the Thrust of Abutments, Thrust given Extrados Stresses on Arch Dam is the force exerted on an arch dam due to the extrados stresses, which are the tensile forces acting on the outer surface of the dam. These forces are caused by the weight of the dam and the water pressure it contains. Thrust of Abutments is denoted by F symbol.

How to calculate Thrust given Extrados Stresses on Arch Dam using this online calculator? To use this online calculator for Thrust given Extrados Stresses on Arch Dam, enter Intrados Stresses (S), Base Thickness (T_b) & Moment acting on Arch Dam (M_t) and hit the calculate button. Here is how the Thrust given Extrados Stresses on Arch Dam calculation can be explained with given input values -> 193.8161 = 250*1.3+6*54.5/(1.3^2).

FAQ

What is Thrust given Extrados Stresses on Arch Dam?

Thrust given Extrados Stresses on Arch Dam is the force exerted on an arch dam due to the extrados stresses, which are the tensile forces acting on the outer surface of the dam. These forces are caused by the weight of the dam and the water pressure it contains and is represented as F = S*T_b+6*M_t/(T_b^2) or Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2). Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam, Base Thickness is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis or centerline crest of the dam & 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 Thrust given Extrados Stresses on Arch Dam?

Thrust given Extrados Stresses on Arch Dam is the force exerted on an arch dam due to the extrados stresses, which are the tensile forces acting on the outer surface of the dam. These forces are caused by the weight of the dam and the water pressure it contains is calculated using Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2). To calculate Thrust given Extrados Stresses on Arch Dam, you need Intrados Stresses (S), Base Thickness (T_b) & Moment acting on Arch Dam (M_t). With our tool, you need to enter the respective value for Intrados Stresses, Base Thickness & 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 Thrust of Abutments?

In this formula, Thrust of Abutments uses Intrados Stresses, Base Thickness & Moment acting on Arch Dam. We can use 3 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

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