Is there any normal stress on torsional member?

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SUMMARY

The discussion centers on the presence of normal stress in a torsional member, specifically a circular rod with a rectangular hole subjected to torsion. It is established that while torsional shear stress is present along the longitudinal axis of the rod, normal stresses arise when examining elements inclined to that axis, as demonstrated through Mohr's circle calculations. This indicates that normal (tensile and compressive) stresses can exist in addition to shear stress when torsion is applied.

PREREQUISITES
  • Understanding of torsion in materials
  • Familiarity with shear stress concepts
  • Knowledge of Mohr's circle for stress analysis
  • Basic principles of material mechanics
NEXT STEPS
  • Study the mechanics of materials under torsion
  • Learn about Mohr's circle and its applications in stress analysis
  • Explore the relationship between shear stress and normal stress in torsional members
  • Investigate the effects of geometric changes (like holes) on stress distribution in materials
USEFUL FOR

Students in engineering mechanics, material scientists, and professionals involved in structural analysis or mechanical design who seek to understand stress behavior in torsional members.

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Homework Statement



is there any normal stress on torsional member?

Homework Equations





The Attempt at a Solution



My professor showed me a circular rod made up of rubber and she made a rectangular hole on the side of it and asked whether there is any normal stress on the torsional member by showing how the circular rod is twisted when she twist it.
I know there must be a shear stress on the torsional member but normal stress?
Anyone knows the anwer and explanation for it?
 
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When a rod is subject to torsionally applied loading only, there is only torsional shear stress on an element parallel and perpendicular to the rod's longitudinal axis. However, when you look at an element inclined to that axis, then you do get normal (tensile and comopressive) stresses at that point, per Mohr's circle calculations.
 

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