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 3-E 15⁰ Empty Water Gate B 34 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Understanding Lock Gates in Waterways

**Overview:**
A lock is an essential mechanism used in waterways to raise and lower boats between stretches of water with different levels. This is crucial for navigation on rivers and canals with varying elevations.

**Lock Gate Model:**
- **Structure:** The model displays a channel that is 10 meters deep and 34 meters wide.
- **Components:** It is enclosed by two gates, Gate A and Gate B, which are hinged at the banks.
- **Functionality:** The upstream side contains water while the downstream side is empty when both gates are closed.

**Diagram Explanation:**
- The diagram includes two gate structures labeled Gate A and Gate B.
- Gate A is positioned at a 15-degree angle relative to Gate B.
- The diagram indicates that the distance between the two ends where the gates are hinged is 34 meters.
  
**Problem Statement:**
Determine the force exerted on the hinge of Gate A, including its magnitude and direction, given that only the upstream side is filled with water.

This setup helps in understanding the mechanics and physics involved in constructing and operating locks, particularly focusing on the forces acting on the gate structures.
Transcribed Image Text:### Understanding Lock Gates in Waterways **Overview:** A lock is an essential mechanism used in waterways to raise and lower boats between stretches of water with different levels. This is crucial for navigation on rivers and canals with varying elevations. **Lock Gate Model:** - **Structure:** The model displays a channel that is 10 meters deep and 34 meters wide. - **Components:** It is enclosed by two gates, Gate A and Gate B, which are hinged at the banks. - **Functionality:** The upstream side contains water while the downstream side is empty when both gates are closed. **Diagram Explanation:** - The diagram includes two gate structures labeled Gate A and Gate B. - Gate A is positioned at a 15-degree angle relative to Gate B. - The diagram indicates that the distance between the two ends where the gates are hinged is 34 meters. **Problem Statement:** Determine the force exerted on the hinge of Gate A, including its magnitude and direction, given that only the upstream side is filled with water. This setup helps in understanding the mechanics and physics involved in constructing and operating locks, particularly focusing on the forces acting on the gate structures.
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