Thrust at Abutments of Arch Dam Calculator

✖Radial pressure is a pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Radius to Center Line of Arch is a radial line from the focus to any point of a curve.ⓘ Radius to Center Line of Arch [r]			+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%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Thrust from water retained behind a wall is the force applied by the water on unit length of wall.ⓘ Thrust at Abutments of Arch Dam [P]

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Thrust at Abutments of Arch Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thrust from Water = Radial Pressure*Radius to Center Line of Arch-(Radial Pressure*Radius to Center Line of Arch-Thrust of Abutments)*cos(Theta)
P = P_v*r-(P_v*r-F)*cos(θ)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Thrust from Water - (Measured in Newton per Meter) - Thrust from water retained behind a wall is the force applied by the water on unit length of wall.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial pressure is a pressure towards or away from the central axis of a component.
Radius to Center Line of Arch - (Measured in Meter) - Radius to Center Line of Arch is a radial line from the focus to any point of a curve.
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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Radial Pressure: 21.7 Kilopascal per Square Meter --> 21700 Pascal per Square Meter (Check conversion here)
Radius to Center Line of Arch: 5.5 Meter --> 5.5 Meter No Conversion Required
Thrust of Abutments: 63.55 Newton --> 63.55 Newton No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = P_v*r-(P_v*r-F)*cos(θ) --> 21700*5.5-(21700*5.5-63.55)*cos(0.5235987755982)

Evaluating ... ...

P = 16044.9039727378

STEP 3: Convert Result to Output's Unit

16044.9039727378 Newton per Meter -->16.0449039727378 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

16.0449039727378 ≈ 16.0449 Kilonewton per Meter <-- Thrust from Water

(Calculation completed in 00.008 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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 at Abutments of Arch Dam Formula

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)
P = P_v*r-(P_v*r-F)*cos(θ)

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 Thrust at Abutments of Arch Dam?

Thrust at Abutments of Arch Dam calculator uses Thrust from Water = Radial Pressure*Radius to Center Line of Arch-(Radial Pressure*Radius to Center Line of Arch-Thrust of Abutments)*cos(Theta) to calculate the Thrust from Water, The Thrust at Abutments of Arch Dam formula is defined as normal upward force at abutments or side most point of dam. Thrust from Water is denoted by P symbol.

How to calculate Thrust at Abutments of Arch Dam using this online calculator? To use this online calculator for Thrust at Abutments of Arch Dam, enter Radial Pressure (P_v), Radius to Center Line of Arch (r), Thrust of Abutments (F) & Theta (θ) and hit the calculate button. Here is how the Thrust at Abutments of Arch Dam calculation can be explained with given input values -> 0.014792 = 21700*5.5-(21700*5.5-63.55)*cos(0.5235987755982).

FAQ

What is Thrust at Abutments of Arch Dam?

The Thrust at Abutments of Arch Dam formula is defined as normal upward force at abutments or side most point of dam and is represented as P = P_v*r-(P_v*r-F)*cos(θ) or Thrust from Water = Radial Pressure*Radius to Center Line of Arch-(Radial Pressure*Radius to Center Line of Arch-Thrust of Abutments)*cos(Theta). Radial pressure is a pressure towards or away from the central axis of a component, Radius to Center Line of Arch is a radial line from the focus to any point of a curve, Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Thrust at Abutments of Arch Dam?

The Thrust at Abutments of Arch Dam formula is defined as normal upward force at abutments or side most point of dam is calculated using Thrust from Water = Radial Pressure*Radius to Center Line of Arch-(Radial Pressure*Radius to Center Line of Arch-Thrust of Abutments)*cos(Theta). To calculate Thrust at Abutments of Arch Dam, you need Radial Pressure (P_v), Radius to Center Line of Arch (r), Thrust of Abutments (F) & Theta (θ). With our tool, you need to enter the respective value for Radial Pressure, Radius to Center Line of Arch, Thrust of Abutments & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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