Moments given Extrados Stresses on Arch Dam Calculator

✖Extrados Stress are curved members are strengthened with FRP sheets, a combination of shear and normal stresses is transferred across the bonded interface.ⓘ Extrados Stress [σ_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%
✖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%

✖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.ⓘ Moments given Extrados Stresses on Arch Dam [M_t]

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Moments given Extrados Stresses on Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6
M_t = σ_e*t*t+F*t/6
This formula uses 4 Variables

Variables Used

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.
Extrados Stress - (Measured in Pascal) - Extrados Stress are curved members are strengthened with FRP sheets, a combination of shear and normal stresses is transferred across the bonded interface.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Extrados Stress: 25 Newton per Square Meter --> 25 Pascal (Check conversion here)
Horizontal Thickness of an Arch: 1.2 Meter --> 1.2 Meter No Conversion Required
Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = σ_e*t*t+F*t/6 --> 25*1.2*1.2+63.55*1.2/6

Evaluating ... ...

M_t = 48.71

STEP 3: Convert Result to Output's Unit

48.71 Joule -->48.71 Newton Meter (Check conversion here)

FINAL ANSWER

48.71 Newton Meter <-- Moment acting on Arch Dam

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Moments acting on Arch Dam Calculators

Moment at Abutments of Arch Dam

LaTeX Go Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))

Moment at Crown of Arch Dam

LaTeX Go Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))

Moments given Intrados Stresses on Arch Dam

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

Moments given Extrados Stresses on Arch Dam

LaTeX Go Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6

Moments given Extrados Stresses on Arch Dam Formula

LaTeX Go

Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6
M_t = σ_e*t*t+F*t/6

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 Moments given Extrados Stresses on Arch Dam?

Moments given Extrados Stresses on Arch Dam calculator uses Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6 to calculate the Moment acting on Arch Dam, Moments given Extrados Stresses on Arch Dam is defined as couple produced on outer wall of dam. Moment acting on Arch Dam is denoted by M_t symbol.

How to calculate Moments given Extrados Stresses on Arch Dam using this online calculator? To use this online calculator for Moments given Extrados Stresses on Arch Dam, enter Extrados Stress (σ_e), Horizontal Thickness of an Arch (t) & Thrust of Abutments (F) and hit the calculate button. Here is how the Moments given Extrados Stresses on Arch Dam calculation can be explained with given input values -> 48.71 = 25*1.2*1.2+63.55*1.2/6.

FAQ

What is Moments given Extrados Stresses on Arch Dam?

Moments given Extrados Stresses on Arch Dam is defined as couple produced on outer wall of dam and is represented as M_t = σ_e*t*t+F*t/6 or Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6. Extrados Stress are curved members are strengthened with FRP sheets, a combination of shear and normal stresses is transferred across the bonded interface, 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 & Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.

How to calculate Moments given Extrados Stresses on Arch Dam?

Moments given Extrados Stresses on Arch Dam is defined as couple produced on outer wall of dam is calculated using Moment acting on Arch Dam = Extrados Stress*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch+Thrust of Abutments*Horizontal Thickness of an Arch/6. To calculate Moments given Extrados Stresses on Arch Dam, you need Extrados Stress (σ_e), Horizontal Thickness of an Arch (t) & Thrust of Abutments (F). With our tool, you need to enter the respective value for Extrados Stress, Horizontal Thickness of an Arch & Thrust of Abutments 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 Moment acting on Arch Dam?

In this formula, Moment acting on Arch Dam uses Extrados Stress, Horizontal Thickness of an Arch & Thrust of Abutments. We can use 3 other way(s) to calculate the same, which is/are as follows -

Moment acting on Arch Dam = -Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(1-((sin(Angle between Crown and Abundant Radii))/Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = Radius to Center Line of Arch*((Normal Radial Pressure*Radius to Center Line of Arch)-Thrust of Abutments)*(sin(Angle between Crown and Abundant Radii)/(Angle between Crown and Abundant Radii)-cos(Angle between Crown and Abundant Radii))
Moment acting on Arch Dam = (Intrados Stresses*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch-Thrust of Abutments*Horizontal Thickness of an Arch)/6

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