Answered: No Normal stress acts on the neutral…

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...

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Question

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

Expert Solution

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,

$ε = - \frac{y}{ρ}$

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

$σ = \frac{- E y}{ρ}$

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