1. The beam has a com listributed loading she ing stress max in the b &

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**11–34.** The beam has a constant thickness \( b \). If it supports the distributed loading shown, determine the maximum bending stress \( \sigma_{\text{max}} \) in the beam.

**Diagram Explanation:**

- The diagram shows a beam supported at both ends, labeled as having a height \( h_0 \) at the supports.
- The beam is subject to a triangular distributed load, with the intensity of the load increasing linearly from zero at both ends to a maximum value \( w_0 \) at the center.
- The beam is symmetrical, with each half having a length of \( \frac{L}{2} \).
- At the center of the beam, the height is \( 2h_0 \).
  
This problem involves determining the maximum bending stress in a beam with a symmetrical load distribution that peaks at its midpoint.
Transcribed Image Text:**11–34.** The beam has a constant thickness \( b \). If it supports the distributed loading shown, determine the maximum bending stress \( \sigma_{\text{max}} \) in the beam. **Diagram Explanation:** - The diagram shows a beam supported at both ends, labeled as having a height \( h_0 \) at the supports. - The beam is subject to a triangular distributed load, with the intensity of the load increasing linearly from zero at both ends to a maximum value \( w_0 \) at the center. - The beam is symmetrical, with each half having a length of \( \frac{L}{2} \). - At the center of the beam, the height is \( 2h_0 \). This problem involves determining the maximum bending stress in a beam with a symmetrical load distribution that peaks at its midpoint.
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