6-51. Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, and C.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem 6-51:**

Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at points \(A\), \(B\), and \(C\).

**Diagram Explanation:**

The image presents a space truss structure with the following details:

- **Geometry and Placement:**
  - The truss forms a pyramid-like shape with a base ABC and apex at point D.
  - Point D is directly above the center of the base ABC, forming vertical members.
  - The height from the base (ABC) to point D is 8 ft.
  - Point A is located at the origin point \( (0,0) \).
  - Point B is located 2 ft along the x-axis, making coordinate \( (2,0) \).
  - Point C is located 3 ft along the y-axis and 2 ft along the x-axis, making coordinate \( (2,3) \).
  - The dimension along AB is 4 ft along the x-axis, and AC is 2 ft along the x-axis, 3 ft on the y-axis.

- **Load and Support:**
  - A force of \(500\text{ }lb\) is applied vertically downward at point D.
  - The supports at points A, B, and C are represented by small diagrams indicating short links, suggesting these points provide reaction forces.

Determine the forces in the members and classify them as tension or compression using methods of structural analysis.
Transcribed Image Text:**Problem 6-51:** Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at points \(A\), \(B\), and \(C\). **Diagram Explanation:** The image presents a space truss structure with the following details: - **Geometry and Placement:** - The truss forms a pyramid-like shape with a base ABC and apex at point D. - Point D is directly above the center of the base ABC, forming vertical members. - The height from the base (ABC) to point D is 8 ft. - Point A is located at the origin point \( (0,0) \). - Point B is located 2 ft along the x-axis, making coordinate \( (2,0) \). - Point C is located 3 ft along the y-axis and 2 ft along the x-axis, making coordinate \( (2,3) \). - The dimension along AB is 4 ft along the x-axis, and AC is 2 ft along the x-axis, 3 ft on the y-axis. - **Load and Support:** - A force of \(500\text{ }lb\) is applied vertically downward at point D. - The supports at points A, B, and C are represented by small diagrams indicating short links, suggesting these points provide reaction forces. Determine the forces in the members and classify them as tension or compression using methods of structural analysis.
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