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No Normal stress acts on the neutral axis. Is it true or false? How?

No Normal stress acts on the neutral axis. Is it true or false? How?

Elements Of Electromagnetics
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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No Normal stress acts on the neutral axis. Is it true or false? How?

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Step 1

When a beam is subjected to a bending moment the beam undergoes either hogging or sagging. In both cases, the normal stresses are set up in the cross section of the beam. 

The equation of stain for a section of the beam can be written as,

ε=-yρ

The stress on the cross-section can be expressed as,

σ=-Eyρ

 

 

 

 

 

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