For the truss below, find the forces in members BC,ED, and FG What are the forces in CB, DE, and GF? Tip: remember forces in the members Opposite, and collinear Ax- Ay * 4m 4 KN B C 4m 10 kN D E 4m 5 kN F G 3 kN 4m H H

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Truss Analysis Problem**

*Objective:*

For the truss shown in the diagram, find the forces in members BC, DE, and FG.

*Instructions:*

1. **Identify Support Reactions:**
   - Ax and Ay are the reactions at support A.
   - Hy is the horizontal reaction at support H.

2. **External Loads:**
   - Load of 4 kN is applied vertically downward at point B.
   - Load of 10 kN is applied vertically downward at point D.
   - Load of 5 kN is applied vertically downward at point F.
   - Load of 3 kN is applied vertically downward at point G.

3. **Distances:**
   - The horizontal distance between each vertical member (AB, BC, CD, DE, EF, FG) is 4 meters.
   - The horizontal distance between points G and H is 2 meters.

4. **Determine Member Forces:**
   - Use methods such as joint resolution or section cuts to determine the forces in members BC, DE, and FG.

*Tip:*
- Opposite and collinear forces in members are equal by nature of the truss equilibrium.

*Diagram Details:*

The diagram provided is a layout of a truss with points labeled from A to H. The truss is supported at point A, with both horizontal and vertical reactions, and point H with a horizontal reaction only. Each member's length and load are specified, providing essential data for calculating the internal forces within the truss structure.
Transcribed Image Text:**Truss Analysis Problem** *Objective:* For the truss shown in the diagram, find the forces in members BC, DE, and FG. *Instructions:* 1. **Identify Support Reactions:** - Ax and Ay are the reactions at support A. - Hy is the horizontal reaction at support H. 2. **External Loads:** - Load of 4 kN is applied vertically downward at point B. - Load of 10 kN is applied vertically downward at point D. - Load of 5 kN is applied vertically downward at point F. - Load of 3 kN is applied vertically downward at point G. 3. **Distances:** - The horizontal distance between each vertical member (AB, BC, CD, DE, EF, FG) is 4 meters. - The horizontal distance between points G and H is 2 meters. 4. **Determine Member Forces:** - Use methods such as joint resolution or section cuts to determine the forces in members BC, DE, and FG. *Tip:* - Opposite and collinear forces in members are equal by nature of the truss equilibrium. *Diagram Details:* The diagram provided is a layout of a truss with points labeled from A to H. The truss is supported at point A, with both horizontal and vertical reactions, and point H with a horizontal reaction only. Each member's length and load are specified, providing essential data for calculating the internal forces within the truss structure.
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