4.a Determine the force in each member of the truss. State whether the members are in tension or compression. Set P = 8 kN. 4.b If the maximum force that any member can support is 8 kN in tension and 6 kN in compression, determine the maximum force P that can be supported at joint D. Hint: Forces in members are directly proportional with force P

Structural Analysis
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Chapter2: Loads On Structures
Section: Chapter Questions
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please specify if the results are compression or tension 

The image depicts a truss structure used in engineering mechanics to illustrate force distribution in a framework. The truss consists of several interconnected members forming triangles. Key dimensions and angles are provided to assist in analysis:

- **Members and Joints**: The structure has joints labeled A, B, C, D, and E. Each member is formed by a straight connection between two joints.
- **Triangles**: Two triangular sections are prominent, one between joints A, B, and E, and the other between joints E, C, and D.
- **Dimensions**: Horizontal members AB, BC, and CD measure 4 meters each.
- **Angles**: The angle between member AE and the horizontal member AB is 60°. Similarly, the angle between member ED and the horizontal member CD is 60°.
- **Support and Load**: Joint A is supported at the base, and a downward load labeled P is applied at joint D.
- **Horizontal Lengths**: The total horizontal span from A to D is 12 meters, divided into three segments of 4 meters each.

This diagram aids in understanding the distribution of forces within a trussed structure and is essential for analyzing structural integrity and stability.
Transcribed Image Text:The image depicts a truss structure used in engineering mechanics to illustrate force distribution in a framework. The truss consists of several interconnected members forming triangles. Key dimensions and angles are provided to assist in analysis: - **Members and Joints**: The structure has joints labeled A, B, C, D, and E. Each member is formed by a straight connection between two joints. - **Triangles**: Two triangular sections are prominent, one between joints A, B, and E, and the other between joints E, C, and D. - **Dimensions**: Horizontal members AB, BC, and CD measure 4 meters each. - **Angles**: The angle between member AE and the horizontal member AB is 60°. Similarly, the angle between member ED and the horizontal member CD is 60°. - **Support and Load**: Joint A is supported at the base, and a downward load labeled P is applied at joint D. - **Horizontal Lengths**: The total horizontal span from A to D is 12 meters, divided into three segments of 4 meters each. This diagram aids in understanding the distribution of forces within a trussed structure and is essential for analyzing structural integrity and stability.
### Problem 4

#### 4.a
Determine the force in each member of the truss. State whether the members are in tension or compression. Set \( P = 8 \) kN.

#### 4.b
If the maximum force that any member can support is 8 kN in tension and 6 kN in compression, determine the maximum force \( P \) that can be supported at joint \( D \).

**Hint:** Forces in members are directly proportional with force \( P \).
Transcribed Image Text:### Problem 4 #### 4.a Determine the force in each member of the truss. State whether the members are in tension or compression. Set \( P = 8 \) kN. #### 4.b If the maximum force that any member can support is 8 kN in tension and 6 kN in compression, determine the maximum force \( P \) that can be supported at joint \( D \). **Hint:** Forces in members are directly proportional with force \( P \).
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