Determine the force in each member of the truss. The force is positive if in tension, negative if in compression. 15 kN A 4.1 m B 1.3 m 2.6 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Truss Analysis**

**Problem:**  
Determine the force in each member of the truss. The force is positive if in tension, negative if in compression.

**Diagram Description:**

- The truss consists of four members connected in a triangular shape.
- Points of connection are labeled as A, B, C, and D.
- The truss is anchored at points A and D.
- A force of 15 kN is applied downward at point B.
- The members are labeled with their lengths:
  - AB is horizontal, measuring 4.1 m.
  - CD is vertical, measuring 1.3 m.
  - AC is horizontal, measuring 2.6 m.

**Given Answers:**

- **AB**: -80.84 kN (compression)
- **AC**: 33.54 kN (tension)
- **AD**: 0 kN (no force)
- **BC**: 82.21 kN (tension)
- **CD**: 47.30 kN (tension)

**Conclusion:**

The diagram shows the forces acting on each member of the truss. The negative sign for AB indicates it is in compression. Other members such as AC, BC, and CD show positive values, indicating they are in tension. The member AD experiences no force. This analysis helps in understanding which parts of the structure need reinforcement based on the tension and compression forces acting upon them.
Transcribed Image Text:**Truss Analysis** **Problem:** Determine the force in each member of the truss. The force is positive if in tension, negative if in compression. **Diagram Description:** - The truss consists of four members connected in a triangular shape. - Points of connection are labeled as A, B, C, and D. - The truss is anchored at points A and D. - A force of 15 kN is applied downward at point B. - The members are labeled with their lengths: - AB is horizontal, measuring 4.1 m. - CD is vertical, measuring 1.3 m. - AC is horizontal, measuring 2.6 m. **Given Answers:** - **AB**: -80.84 kN (compression) - **AC**: 33.54 kN (tension) - **AD**: 0 kN (no force) - **BC**: 82.21 kN (tension) - **CD**: 47.30 kN (tension) **Conclusion:** The diagram shows the forces acting on each member of the truss. The negative sign for AB indicates it is in compression. Other members such as AC, BC, and CD show positive values, indicating they are in tension. The member AD experiences no force. This analysis helps in understanding which parts of the structure need reinforcement based on the tension and compression forces acting upon them.
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