4. Determine the force in members GF, CF, and CD and state if the members are in tension or compression. 4 m -4 m- H B -3 m- 12 kN G C -3 m- 14 kN F D -4m- 16 kN E

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4.) please help with problem and provide free body diagrams when needed
The problem presented involves a truss structure, where you are asked to determine the forces in specific members GF, CF, and CD, and state whether these members are in tension or compression. 

### Diagram Description

The diagram shows a truss consisting of joints and members with designated points A, B, C, D, E, F, G, and H:

- The truss is supported at points A and E.
- Members are interconnected at these joints to form a rigid structure.

### Truss Geometry

- The height of the truss from point B to H and from C to G is 4 meters.
- The horizontal distances between these points are:
  - 4 meters between A and B.
  - 3 meters between B and C.
  - 3 meters between C and D.
  - 4 meters between D and E.

### Applied Loads

- A load of 12 kN acts downward at point B.
- A load of 14 kN acts downward at point C.
- A load of 16 kN acts downward at point D.

### Task

To solve the problem, you need to perform the following:

1. Calculate the forces in members GF, CF, and CD.
2. Determine whether each member is in tension (pulling apart) or compression (pushing together).

This kind of analysis typically involves using methods such as the Method of Joints or the Method of Sections commonly employed in structural engineering to analyze truss structures.
Transcribed Image Text:The problem presented involves a truss structure, where you are asked to determine the forces in specific members GF, CF, and CD, and state whether these members are in tension or compression. ### Diagram Description The diagram shows a truss consisting of joints and members with designated points A, B, C, D, E, F, G, and H: - The truss is supported at points A and E. - Members are interconnected at these joints to form a rigid structure. ### Truss Geometry - The height of the truss from point B to H and from C to G is 4 meters. - The horizontal distances between these points are: - 4 meters between A and B. - 3 meters between B and C. - 3 meters between C and D. - 4 meters between D and E. ### Applied Loads - A load of 12 kN acts downward at point B. - A load of 14 kN acts downward at point C. - A load of 16 kN acts downward at point D. ### Task To solve the problem, you need to perform the following: 1. Calculate the forces in members GF, CF, and CD. 2. Determine whether each member is in tension (pulling apart) or compression (pushing together). This kind of analysis typically involves using methods such as the Method of Joints or the Method of Sections commonly employed in structural engineering to analyze truss structures.
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