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Machine Design
Design Against Static Load
GATE 2021
Medium

Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown as a straight-line antisymmetric distribution superposed with a uniform offset. This shear stress distribution represents

  • Adirect shear stress in the coil wire cross-section
  • Btorsional shear stress in the coil wire cross-section
  • combined direct shear and torsional shear stress in the coil wire cross-section
  • Dcombined direct shear and torsional shear stress along with the effect of stress concentration at the inside edge of the coil wire cross-section

Explanation

A simple superposition of a uniform direct-shear stress and a linearly-varying torsional-shear stress (without any curvature-induced stress concentration correction) produces exactly this straight-line, offset distribution — the Wahl-factor-corrected distribution (with stress concentration at the inner edge) would instead show a nonlinear skew toward the inside of the coil.

Source: GATE ME 2021 Session 1 (ME-1) (2021)

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