Direction of stresses in torsion

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SUMMARY

The discussion focuses on the behavior of shear stresses in a circular bar subjected to torsion. Specifically, it highlights that shear stresses vary linearly from zero at the center to a maximum of TR/J at the circumference, where T represents torque, R is the radius, and J is the polar moment of inertia. The key conclusion is that the shear stresses on a planar element are circumferential and axial, rather than radial, which clarifies the direction of stresses in torsion.

PREREQUISITES
  • Understanding of torsion mechanics
  • Familiarity with shear stress concepts
  • Knowledge of polar moment of inertia (J)
  • Basic principles of circular cross-section analysis
NEXT STEPS
  • Study the derivation of shear stress distribution in circular shafts
  • Learn about the relationship between torque, shear stress, and polar moment of inertia
  • Explore the effects of varying cross-sectional shapes on torsional stress
  • Investigate real-world applications of torsion in engineering structures
USEFUL FOR

Mechanical engineers, structural analysts, and students studying materials science or mechanics of materials will benefit from this discussion on torsional stress behavior in circular bars.

Vatsy
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In the fig. attached below,a circular bar is subjected to torsion. A point is considered on the surface of the bar(denoted by point 1). The shear stresses are shown .
Why don't we take one of the stresses in the radial direction??
 

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The shear stresses vary linearly in the radial direction, from 0 at the center to a max of TR/J at the circumference , but the direction of those stresses on a planar element are circumferential and axial ( longitudinal) only.
 

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