small dam of height h = 1.2 m is constructed of vertical wood beams AB of thickness t = 113 mm, as shown in the figure. Consider the beams to be simply supported at the top and bottom. etermine the maximum bending stress max (in MPa) in the beams, assuming that the weight density of water is y = 9.81 kN/m³. (Enter the magnitude.) MPa

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Educational Content: Calculating Maximum Bending Stress in Dam Beams**

**Problem Statement:**
A small dam of height \( h = 1.2 \, m \) is constructed of vertical wood beams \( AB \) with a thickness \( t = 113 \, mm \), as shown in the adjacent figure. 

**Figure Description:**
- The diagram shows a vertical cross-section of the dam with a height \( h \).
- The wood beam \( AB \) is illustrated on the right, with water exerting pressure from the left side.
- The thickness of the beams is indicated as \( t \).
- Supports at the top and bottom of the dam are depicted, implying simply supported beams.

**Task:**
Consider the beams to be simply supported at the top and bottom.

Determine the maximum bending stress \( \sigma_{\text{max}} \) (in MPa) in the beams, assuming the weight density of water is \( \gamma = 9.81 \, \text{kN/m}^3 \). (Enter the magnitude.)

**Input Box:**
[ ______ ] MPa

---

By properly solving the problem, students will gain insights into fluid statics, structural analysis, and application of material mechanics principles.
Transcribed Image Text:**Educational Content: Calculating Maximum Bending Stress in Dam Beams** **Problem Statement:** A small dam of height \( h = 1.2 \, m \) is constructed of vertical wood beams \( AB \) with a thickness \( t = 113 \, mm \), as shown in the adjacent figure. **Figure Description:** - The diagram shows a vertical cross-section of the dam with a height \( h \). - The wood beam \( AB \) is illustrated on the right, with water exerting pressure from the left side. - The thickness of the beams is indicated as \( t \). - Supports at the top and bottom of the dam are depicted, implying simply supported beams. **Task:** Consider the beams to be simply supported at the top and bottom. Determine the maximum bending stress \( \sigma_{\text{max}} \) (in MPa) in the beams, assuming the weight density of water is \( \gamma = 9.81 \, \text{kN/m}^3 \). (Enter the magnitude.) **Input Box:** [ ______ ] MPa --- By properly solving the problem, students will gain insights into fluid statics, structural analysis, and application of material mechanics principles.
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