400 Ib 400 lb 1.5 in. 200-lb/ft |6 in. B 3 in. 3 in. 1 in. 3 ft 6 ft 3 ft- a. Draw the shear and moment diagram of the beam and label the maximum and minimum values of V and M on the graphs. b. Find the maximum bending stress in the beam due to the bending at points A and B.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem Statement

Consider a simply supported beam with the following specifications and loading conditions:

- **Cross-section:** 
  - Top flange: 6 in.
  - Web height: 6 in.
  - Bottom flange: 3 in.
  - Thickness of flanges: 1.5 in.
  - Web thickness: 1 in.

- **Loading:**
  - Point loads of 400 lb at each end.
  - Uniformly distributed load of 200 lb/ft over a 6 ft length in the center.

- **Span Information:**
  - Total span: 12 ft.
  - Supports located at points A and B, 3 ft from each end, and 6 ft apart.

### Problems:

a. Draw the shear and moment diagram of the beam and **label the maximum and minimum values of V (shear force) and M (bending moment) on the graphs**.

b. Find the maximum bending stress in the beam due to the bending at points A and B.
Transcribed Image Text:### Problem Statement Consider a simply supported beam with the following specifications and loading conditions: - **Cross-section:** - Top flange: 6 in. - Web height: 6 in. - Bottom flange: 3 in. - Thickness of flanges: 1.5 in. - Web thickness: 1 in. - **Loading:** - Point loads of 400 lb at each end. - Uniformly distributed load of 200 lb/ft over a 6 ft length in the center. - **Span Information:** - Total span: 12 ft. - Supports located at points A and B, 3 ft from each end, and 6 ft apart. ### Problems: a. Draw the shear and moment diagram of the beam and **label the maximum and minimum values of V (shear force) and M (bending moment) on the graphs**. b. Find the maximum bending stress in the beam due to the bending at points A and B.
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