20 lb/ft -8 ft- B . H O 8 ft G D F -8 ft 8 ft 8 ft- E A) Find equivalent forces at the joints for the distributed load. B) Compute the reactions at A and E. C) Compute the forces in the 13 members of the Howe truss.
20 lb/ft -8 ft- B . H O 8 ft G D F -8 ft 8 ft 8 ft- E A) Find equivalent forces at the joints for the distributed load. B) Compute the reactions at A and E. C) Compute the forces in the 13 members of the Howe truss.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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
Transcribed Image Text:### Description of the Truss Structure:
The image depicts a Howe truss with a distributed load applied across the top chord. The truss is symmetrical and composed of triangular units. Each segment of the top chord is loaded with a uniform load of 20 lb/ft.
#### Key Elements:
- **Supports:**
- The truss is supported at two points, A and E, which are located on top of two vertical structures or walls.
- **Points and Members:**
- The points at which members intersect are labeled as A, B, C, D, E, F, G, and H.
- The horizontal span of the structure is divided into four equal segments, each 8 feet long.
- **Load Distribution:**
- A distributed load of 20 lb/ft is applied uniformly across the top chord from A to E.
- **Triangles in the Truss:**
- The truss consists of interconnected triangles: ABH, BCG, CDG, and DEF.
#### Tasks:
A) **Find equivalent forces at the joints for the distributed load.**
B) **Compute the reactions at A and E.**
C) **Compute the forces in the 13 members of the Howe truss.**
### Analysis Approach:
1. **Joint Load Calculation:**
- Calculate the equivalent point loads at the joints by considering the distributed load over each segment.
2. **Support Reactions:**
- Use static equilibrium equations to determine the reactions at supports A and E.
3. **Member Forces:**
- Utilize methods such as the method of joints or method of sections to calculate the forces in each truss member, ensuring to distinguish between tension and compression.
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