Fluid Mechanics: U-shaped Gate Forces

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Questions and Answers

What is the width of the U-shaped gate submerged in water?

  • 5 meters
  • 4 meters
  • 2 meters
  • 3 meters (correct)

Which point is the hinge of the U-shaped gate?

  • Point C
  • Point B
  • Point A (correct)
  • Point D

What is being asked regarding the U-shaped gate supporting the water pressure?

  • The angle of the gate
  • The material strength of the gate
  • The weight of the gate
  • The horizontal and vertical components of reaction at hinge A (correct)

How tall is the U-shaped gate submerged in water?

<p>3 meters (B)</p> Signup and view all the answers

What reaction is expected at point B due to water pressure?

<p>Normal reaction (C)</p> Signup and view all the answers

What can be determined about the nature of the forces acting on the U-shaped gate?

<p>Both horizontal and vertical forces act on the gate. (A)</p> Signup and view all the answers

Which point experiences a normal reaction due to water pressure?

<p>Point B (D)</p> Signup and view all the answers

How do the dimensions of the U-shaped gate affect the pressure distribution?

<p>Pressure increases linearly with depth along the height. (D)</p> Signup and view all the answers

What reaction component must be calculated at hinge A?

<p>Both horizontal and vertical components. (A)</p> Signup and view all the answers

In the context of the U-shaped gate, what is the significance of the hinge at point A?

<p>It allows rotational movement while resisting horizontal forces. (D)</p> Signup and view all the answers

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Study Notes

Problem Description

  • A U-shaped gate submerged in water.
  • Gate width: 3 meters.
  • Gate hinged at point A and supported at point B.
  • Goal is to find the horizontal and vertical forces at the hinge (A) and the normal force at the support (B) due to water pressure.
  • Dimensions:
    • Vertical height of the gate: 3 meters.
    • Width of the gate: 3 meters.
  • Point A is the hinge and point B is the support point.

Problem Description

  • A U-shaped gate is submerged in water.
  • The gate's width is 3 meters.
  • The hinge A is located at the top of the gate.
  • Point B is at the bottom of the gate.
  • The problem asks for the horizontal and vertical reaction forces at hinge A and the normal reaction at point B.
  • The height of the gate is 3 meters.

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