2. A lock is a device used for raising and lowering boats, ships and other watercraft between stretches of water of different levels on river and canal waterways. Below is simplified model of a lock gate. A channel of 10 m deep and 34 m wide is enclosed by two gates A and B, which are hinged at the banks. If the gates are fully close and only the upstream side has water, determine the force exerted on the hinge of Gate A and its direction Gate A - 3₁ -- Water Empty 15⁰ 34 m Gate B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Transcription:**

2. A lock is a device used for raising and lowering boats, ships, and other watercraft between stretches of water of different levels on river and canal waterways. Below is a simplified model of a lock gate. A channel of 10 m deep and 34 m wide is enclosed by two gates A and B, which are hinged at the banks. If the gates are fully closed and only the upstream side has water, determine the force exerted on the hinge of Gate A and its direction.

**Diagram Explanation:**

The diagram depicts a horizontal cross-section of a lock system. Key features include:

- **Channel Dimensions:** The channel is 34 meters wide.
- **Gates A and B:** These gates are angled and hinged at opposite banks of the channel. 
- **Gate A:** It forms a 15-degree angle with the perpendicular line descending from the hinge of Gate B.
- **Water and Empty Sections:** The left side of the diagram shows the water-filled section, while the right side is labeled "Empty," indicating no water.
  
This setup helps illustrate how the gates manage differing water levels between the upstream and downstream sides of the lock.
Transcribed Image Text:**Transcription:** 2. A lock is a device used for raising and lowering boats, ships, and other watercraft between stretches of water of different levels on river and canal waterways. Below is a simplified model of a lock gate. A channel of 10 m deep and 34 m wide is enclosed by two gates A and B, which are hinged at the banks. If the gates are fully closed and only the upstream side has water, determine the force exerted on the hinge of Gate A and its direction. **Diagram Explanation:** The diagram depicts a horizontal cross-section of a lock system. Key features include: - **Channel Dimensions:** The channel is 34 meters wide. - **Gates A and B:** These gates are angled and hinged at opposite banks of the channel. - **Gate A:** It forms a 15-degree angle with the perpendicular line descending from the hinge of Gate B. - **Water and Empty Sections:** The left side of the diagram shows the water-filled section, while the right side is labeled "Empty," indicating no water. This setup helps illustrate how the gates manage differing water levels between the upstream and downstream sides of the lock.
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