### Problem 5.52**Objective:** Find the maximum load \( P \) that can be supported by the tripod if the force in any leg is limited to 8 kN. Assume that the legs are two-force bodies.**Diagram Explanation:**The diagram represents a tripod structure labeled as Figure P5.52, with dimensions provided in meters. Here's a detailed explanation of the diagram:1. **Tripod Structure:** - The tripod consists of three legs meeting at point \( A \), where the load \( P \) is applied vertically downward. - The legs are arranged in a triangular formation.2. **Coordinate System:** - The diagram employs a three-dimensional coordinate system defined by axes \( x \), \( y \), and \( z \).3. **Dimensions:** - The points where the legs meet the ground are labeled \( B \), \( C \), and \( D \). - The position coordinates for these points are: - \( B \) is 2.4 meters on the \( y \)-axis. - \( C \) is 1.2 meters along the \( x \)-axis from \( B \). - \( D \) is directly opposite point \( C \), forming the base of the triangular support.4. **Leg Lengths:** - The length from point \( A \) to \( C \) is 3.2 meters.5. **Triangle Base:** - The base formed by \( B \), \( C \), and \( D \) creates a right-angled triangle in the horizontal plane.The problem asks to determine the maximum load \( P \) that can be applied at the top point \( A \) without exceeding a force of 8 kN in any of the tripod legs. The legs are treated as two-force members in mechanical analysis.

5.52 Find the maximum load P that can be supported by the tripod if the force ssuny leg is limited to 8 kN Assume that the legs are two-force bodies. A 1.2 2.4 3.2 C B 2.4 y. 2.4 Dimensions in meters Figure P5.52

5.52 Find the maximum load P that can be supported by the tripod if the force ssuny leg is limited to 8 kN Assume that the legs are two-force bodies. A 1.2 2.4 3.2 C B 2.4 y. 2.4 Dimensions in meters Figure P5.52

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 5.52

**Objective:** Find the maximum load \( P \) that can be supported by the tripod if the force in any leg is limited to 8 kN. Assume that the legs are two-force bodies.

**Diagram Explanation:**

The diagram represents a tripod structure labeled as Figure P5.52, with dimensions provided in meters. Here's a detailed explanation of the diagram:

1. **Tripod Structure:**
- The tripod consists of three legs meeting at point \( A \), where the load \( P \) is applied vertically downward.
- The legs are arranged in a triangular formation.

2. **Coordinate System:**
- The diagram employs a three-dimensional coordinate system defined by axes \( x \), \( y \), and \( z \).

3. **Dimensions:**
- The points where the legs meet the ground are labeled \( B \), \( C \), and \( D \).
- The position coordinates for these points are:
- \( B \) is 2.4 meters on the \( y \)-axis.
- \( C \) is 1.2 meters along the \( x \)-axis from \( B \).
- \( D \) is directly opposite point \( C \), forming the base of the triangular support.

4. **Leg Lengths:**
- The length from point \( A \) to \( C \) is 3.2 meters.

5. **Triangle Base:**
- The base formed by \( B \), \( C \), and \( D \) creates a right-angled triangle in the horizontal plane.

The problem asks to determine the maximum load \( P \) that can be applied at the top point \( A \) without exceeding a force of 8 kN in any of the tripod legs. The legs are treated as two-force members in mechanical analysis.

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