1905 lb 4385 Ib-ft B. 3.0' 3.0 '- 3.0'
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Shear and Moment Diagrams for a Loaded Beam**
**Beam Description:**
- A simply supported beam with supports at points A and B.
- Total length: 9 ft, divided into three equal sections of 3 ft each.
- A point load of 1905 lb is applied at 3 ft from the left end (A).
- A moment of 4385 lb-ft is applied at 6 ft from the left end (A).
**Shear and Moment Diagrams Explanation:**
- **Shear Diagram:**
- Shows the variation of shear force along the length of the beam.
- Positive or negative values indicate the direction of shear forces.
- **Moment Diagram:**
- Illustrates the bending moment along the beam’s length.
- Peaks and troughs indicate areas of maximum bending stress.
**Distance and Forces:**
- Distance \( x \) is measured from point A to the right.
**Questions and Calculations:**
1. **At \( x = 1.2 \, \text{ft} \):**
- Shear Force (\( V \)) = 1757.22 lb
- Moment (\( M \)) = 2108.664 lb-ft
2. **At \( x = 4.6 \, \text{ft} \):**
- Shear Force (\( V \)) = -147.78 lb
- Moment (\( M \)) = -5035.212 lb-ft
3. **At \( x = 7.6 \, \text{ft} \):**
- Shear Force (\( V \)) = 147.78 lb
- Moment (\( M \)) = 206.892 lb-ft
These calculated values reflect the effects of the applied load and moment as well as the resulting shear and bending moments at specified points along the beam.
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