### Problem Set on Hydrostatic Forces on a Concrete Dam#### OverviewA 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown in the diagram below. The local atmospheric pressure is 100 kPa. The resultant hydrostatic force (\(F_R\)), center of pressure (\(y_p\)) on the dam face, and the portion of the dam face that is underwater (b) are design parameters depicted in the figure. Use this information to solve problems 8 through 10.#### Diagram DescriptionThe diagram depicts a triangular concrete dam with the following details:- The dam has a triangular cross-section with an apex angle of 60° on both sides.- The height of the water reservoir is 25 meters.- The width of the dam, which extends into the page, is 150 meters.Key parameters labeled in the diagram include:- Depth of water: 25 meters.- Hydrostatic force, \(F_R\), acting at point \(y_p\) from the water surface.- The length of the underwater portion of the dam's face, b, which needs to be determined.#### Questions1. **Parameter b**, the length of the underwater portion of the dam face, is nearest: - (a) 25 m - (b) 31 m - (c) 29 m - (d) 150 m - (e) None of the above2. **The magnitude of the resultant hydrostatic force (\(F_R\))** is nearest: - (a) 9.6 x 10⁸ N - (b) 864 kN - (c) 531,000 kN - (d) 9.8 x 10⁶ kips - (e) 3.2 x 10⁷ N3. **The depth (m) from the water surface to the pressure center (\(y_p\))** is about ___________ m. Use the information in the diagram and the given options to find the correct values for the parameters asked in the questions.

A 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown. The local atmospheric pressure is 100 kPa. The resultant hydrostatic force (FR), center of pressure (y,) on the dam face, and the portion of the dam face that is underwater (b) are design parameters depicted on the figure. Use this information to solve problems 8 through 10. Water 25 m FR 60° 60° Parameter b, the length of the underwater portion of the dam face, is nearest (a) 25 m (b) 31 m (c) 29 m (d)150 m (e) None of the above The magnitude of the resultant hydrostatic force (FR) is nearest (a) 9.6 x 10° N (b) 864 kN (c) 531,000 kN (d) 9.8 x 106 kips ERIBUTE - THANK YOU 3.2 x 107 N The depth (m) from the water surface to the pressure center (yp) is about

A 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown. The local atmospheric pressure is 100 kPa. The resultant hydrostatic force (FR), center of pressure (y,) on the dam face, and the portion of the dam face that is underwater (b) are design parameters depicted on the figure. Use this information to solve problems 8 through 10. Water 25 m FR 60° 60° Parameter b, the length of the underwater portion of the dam face, is nearest (a) 25 m (b) 31 m (c) 29 m (d)150 m (e) None of the above The magnitude of the resultant hydrostatic force (FR) is nearest (a) 9.6 x 10° N (b) 864 kN (c) 531,000 kN (d) 9.8 x 106 kips ERIBUTE - THANK YOU 3.2 x 107 N The depth (m) from the water surface to the pressure center (yp) is about

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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Question

### Problem Set on Hydrostatic Forces on a Concrete Dam

#### Overview
A 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown in the diagram below. The local atmospheric pressure is 100 kPa. The resultant hydrostatic force (\(F_R\)), center of pressure (\(y_p\)) on the dam face, and the portion of the dam face that is underwater (b) are design parameters depicted in the figure. Use this information to solve problems 8 through 10.

#### Diagram Description
The diagram depicts a triangular concrete dam with the following details:
- The dam has a triangular cross-section with an apex angle of 60° on both sides.
- The height of the water reservoir is 25 meters.
- The width of the dam, which extends into the page, is 150 meters.

Key parameters labeled in the diagram include:
- Depth of water: 25 meters.
- Hydrostatic force, \(F_R\), acting at point \(y_p\) from the water surface.
- The length of the underwater portion of the dam's face, b, which needs to be determined.

#### Questions
1. **Parameter b**, the length of the underwater portion of the dam face, is nearest:
- (a) 25 m
- (b) 31 m
- (c) 29 m
- (d) 150 m
- (e) None of the above

2. **The magnitude of the resultant hydrostatic force (\(F_R\))** is nearest:
- (a) 9.6 x 10⁸ N
- (b) 864 kN
- (c) 531,000 kN
- (d) 9.8 x 10⁶ kips
- (e) 3.2 x 10⁷ N

3. **The depth (m) from the water surface to the pressure center (\(y_p\))** is about ___________ m.

Use the information in the diagram and the given options to find the correct values for the parameters asked in the questions.

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