**Hydrostatic forces on curved surface**5Q. The curved dam shown in the figure is 50 m wide into the paper. Find the horizontal and vertical components of the hydrostatic force against the dam and the point CP where the resultant force strikes the dam.**Diagram Description:**The diagram illustrates a cross-section of a curved dam subjected to hydrostatic forces from water. Key details include:- The dam is 20 m high and 20 m wide horizontally.- The water extends vertically down to the base of the dam.- The point labeled CP marks where the resultant force strikes the dam.- An arrow indicates the direction of the water pressure acting on the curved surface.- The atmospheric pressure \( p_a \) is zero on the right side of the curve, above the water. This scenario visualizes the challenge of calculating the forces at play on curved structures in hydrostatics.

Answered: 5Q. The curved dam shown in the figure…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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**Hydrostatic forces on curved surface**

5Q. The curved dam shown in the figure is 50 m wide into the paper. Find the horizontal and vertical components of the hydrostatic force against the dam and the point CP where the resultant force strikes the dam.

**Diagram Description:**

The diagram illustrates a cross-section of a curved dam subjected to hydrostatic forces from water. Key details include:

- The dam is 20 m high and 20 m wide horizontally.
- The water extends vertically down to the base of the dam.
- The point labeled CP marks where the resultant force strikes the dam.
- An arrow indicates the direction of the water pressure acting on the curved surface.
- The atmospheric pressure \( p_a \) is zero on the right side of the curve, above the water.

This scenario visualizes the challenge of calculating the forces at play on curved structures in hydrostatics.

Expert Solution

Step 1

We know that vertical hydrostatic force on a submerged curved surface is equal to the weight of water contained above the curved surface to the free surface of the water. Horizontal component of hydrostatic force on a curved surface is equal to the hydrostatic force in the projected area of the curved surface in the vertical plane. Hydrostatic force increases as we move downward from the free surface of water with the depth of water.

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