*6-36. Determine the force in members AF, BF, and BC, and state if the members are in tension or compression. – 15m 4 kN 2m 8 kN F 2m Probs. 6-35/36

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Problem 6-36: Structural Analysis of a Truss**

**Objective:**  
Determine the force in members \(AF\), \(BF\), and \(BC\) of the truss and state if the members are in tension or compression.

**Diagram Explanation:**  

The truss consists of vertical and diagonal members forming a rectangular framework. There are several key points and measurements:

- **Supports:**
  - Point \(A\) and Point \(B\) are at the bottom, providing base support.
  
- **Vertical Members:**
  - \(AD\) and \(BE\) are the primary vertical members of the truss, each 4 meters tall, made up of two 2-meter sections.

- **Diagonal Members:**
  - \(DF\), \(FC\), \(CF\), and \(CE\) create cross-bracing within the rectangular frames to provide stability.
  
- **Loads:**
  - A horizontal load of 4 kN is applied at point \(E\) to the right.
  - A horizontal load of 8 kN is applied at point \(F\) to the right.
  
- **Distances:**
  - The horizontal distance between the vertical members \(AD\) and \(BE\) is 1.5 meters. 
  - Vertical sections are 2 meters apart each.

**Analysis Tasks:**

1. **Determine Forces:**
   - Calculate the forces exerted on each member using methods such as the method of joints or method of sections.
   
2. **State Tension or Compression:**
   - Indicate whether the forces calculated for each member \(AF\), \(BF\), and \(BC\) result in tension (pulling apart) or compression (pushing together).

**Note:** This problem is commonly found in the section of structural engineering that focuses on the analysis of trusses, a key element in the design of bridges and roof supports.
Transcribed Image Text:**Problem 6-36: Structural Analysis of a Truss** **Objective:** Determine the force in members \(AF\), \(BF\), and \(BC\) of the truss and state if the members are in tension or compression. **Diagram Explanation:** The truss consists of vertical and diagonal members forming a rectangular framework. There are several key points and measurements: - **Supports:** - Point \(A\) and Point \(B\) are at the bottom, providing base support. - **Vertical Members:** - \(AD\) and \(BE\) are the primary vertical members of the truss, each 4 meters tall, made up of two 2-meter sections. - **Diagonal Members:** - \(DF\), \(FC\), \(CF\), and \(CE\) create cross-bracing within the rectangular frames to provide stability. - **Loads:** - A horizontal load of 4 kN is applied at point \(E\) to the right. - A horizontal load of 8 kN is applied at point \(F\) to the right. - **Distances:** - The horizontal distance between the vertical members \(AD\) and \(BE\) is 1.5 meters. - Vertical sections are 2 meters apart each. **Analysis Tasks:** 1. **Determine Forces:** - Calculate the forces exerted on each member using methods such as the method of joints or method of sections. 2. **State Tension or Compression:** - Indicate whether the forces calculated for each member \(AF\), \(BF\), and \(BC\) result in tension (pulling apart) or compression (pushing together). **Note:** This problem is commonly found in the section of structural engineering that focuses on the analysis of trusses, a key element in the design of bridges and roof supports.
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