6-3. Determine the force in each member of the truss. State if the members are in tension or compression. 3 ft- -3 ft -3 ft В

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 6-3:**

**Objective:**  
Determine the force in each member of the truss. State if the members are in tension or compression.

**Diagram Description:**  
The image depicts a truss with multiple joints labeled from A to F. The truss consists of several members (beams) connecting these joints. 

**Specifications:**

- **Joints and Members:**
  - Joints: A, B, C, D, E, F
  - Members: AB, BC, CD, DE, EF, AC, AD, CE, and BE

- **Dimensions:**
  - Distance between A and B: 3 ft
  - Distance between B and D: 3 ft
  - Distance between D and F: 3 ft
  - Vertical member from C to E and C to D: 4 ft

- **Forces:**
  - There is a diagonal force of 130 lb applied at joint A. The force vector has components: 12 (horizontal) and 5 (vertical) forming a right triangle with the resultant force given as 13 units in magnitude.

**Diagram Explanation:**

The truss is supported at points C and F:
- Joint C is on a roller support, allowing horizontal movement.
- Joint F is on a fixed support, restricting movement in both horizontal and vertical directions.

**Method of Analysis:**

To solve the problem, apply methods such as:
- **Method of Joints**: Analyze equilibrium of each joint to find the forces in each member.
- **Method of Sections**: Cut through multiple members and apply equilibrium equations to solve for internal forces in specific members.

Determine whether each member is in tension (pulling apart) or compression (pushing together) based on the direction of the internal forces.
Transcribed Image Text:**Problem 6-3:** **Objective:** Determine the force in each member of the truss. State if the members are in tension or compression. **Diagram Description:** The image depicts a truss with multiple joints labeled from A to F. The truss consists of several members (beams) connecting these joints. **Specifications:** - **Joints and Members:** - Joints: A, B, C, D, E, F - Members: AB, BC, CD, DE, EF, AC, AD, CE, and BE - **Dimensions:** - Distance between A and B: 3 ft - Distance between B and D: 3 ft - Distance between D and F: 3 ft - Vertical member from C to E and C to D: 4 ft - **Forces:** - There is a diagonal force of 130 lb applied at joint A. The force vector has components: 12 (horizontal) and 5 (vertical) forming a right triangle with the resultant force given as 13 units in magnitude. **Diagram Explanation:** The truss is supported at points C and F: - Joint C is on a roller support, allowing horizontal movement. - Joint F is on a fixed support, restricting movement in both horizontal and vertical directions. **Method of Analysis:** To solve the problem, apply methods such as: - **Method of Joints**: Analyze equilibrium of each joint to find the forces in each member. - **Method of Sections**: Cut through multiple members and apply equilibrium equations to solve for internal forces in specific members. Determine whether each member is in tension (pulling apart) or compression (pushing together) based on the direction of the internal forces.
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