Extrados Stresses 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%
✖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%

✖Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam.ⓘ Extrados Stresses on Arch Dam [S]

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Extrados Stresses on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))
S = (F/t)-(6*M_t/(t^2))
This formula uses 4 Variables

Variables Used

Intrados Stresses - (Measured in Pascal) - Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam.
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.
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

Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required
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

S = (F/t)-(6*M_t/(t^2)) --> (63.55/1.2)-(6*54.5/(1.2^2))

Evaluating ... ...

S = -174.125

STEP 3: Convert Result to Output's Unit

-174.125 Pascal -->-174.125 Newton per Square Meter (Check conversion here)

FINAL ANSWER

-174.125 Newton per Square Meter <-- Intrados Stresses

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Arch Dams Calculators

Angle between Crown and Abutments given Thrust at Abutments of Arch Dam

LaTeX Go Theta = acos((Thrust from Water-Radial Pressure*Radius to Center Line of Arch)/(-Radial Pressure*Radius to Center Line of Arch+Thrust of Abutments))

Radius to centerline given Thrust at Abutments of Arch Dam

LaTeX Go Radius to Center Line of Arch = ((Thrust from Water-Thrust of Abutments*cos(Theta))/(1-cos(Theta)))/Radial Pressure

Intrados Stresses on Arch Dam

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

Extrados Stresses on Arch Dam

LaTeX Go Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))

Extrados Stresses on Arch Dam Formula

LaTeX Go

Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))
S = (F/t)-(6*M_t/(t^2))

What is 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 Extrados Stresses on Arch Dam?

Extrados Stresses on Arch Dam calculator uses Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)) to calculate the Intrados Stresses, Extrados Stresses on Arch Dam is defined as stress on outer wall of arch dam, due to curvature of dam. Intrados Stresses is denoted by S symbol.

How to calculate Extrados Stresses on Arch Dam using this online calculator? To use this online calculator for Extrados Stresses on Arch Dam, enter Thrust of Abutments (F), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) and hit the calculate button. Here is how the Extrados Stresses on Arch Dam calculation can be explained with given input values -> -174.125 = (63.55/1.2)-(6*54.5/(1.2^2)).

FAQ

What is Extrados Stresses on Arch Dam?

Extrados Stresses on Arch Dam is defined as stress on outer wall of arch dam, due to curvature of dam and is represented as S = (F/t)-(6*M_t/(t^2)) or Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)). Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments, 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 Extrados Stresses on Arch Dam?

Extrados Stresses on Arch Dam is defined as stress on outer wall of arch dam, due to curvature of dam is calculated using Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)). To calculate Extrados Stresses on Arch Dam, you need Thrust of Abutments (F), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t). With our tool, you need to enter the respective value for Thrust of Abutments, 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 Intrados Stresses?

In this formula, Intrados Stresses uses Thrust of Abutments, 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 -

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

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