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.
ChapterMA: Math Assessment
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Problem 1.1MA
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### 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.
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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