Answered: 80 mm 20 mm 10 mm 10 mm м м 10 mm

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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Question

The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar and sketch, approximately, how the stress varies over the critical section.

Expert Solution

Step 1

Given

Moment = 100 Nm

D = 80 mm = 0.08 m

d = 20 mm = 0.02 m

t = 10 mm = 0.01 m

r = 10 mm = 0.01 m

To find

Maximum bending stress

Diagrammatically representation of stress in critical area

Step 2

Stress concentration

$\frac{D}{d} = \frac{0.08}{0.02} = 4 \frac{r}{d} = \frac{0.01}{0.02} = 0.5 k = 1.26$

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