GATE ME 2021 Set 1 — Question 29
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Question
Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution represents
Correct answer
(C) combined direct shear and torsional shear stress in the coil wire cross-section
Solution
The shear stress in a helical compression spring is a combination of torsional shear stress () and direct shear stress ().
1.Torsional shear stress varies linearly from zero at the center to maximum at the surface.
2.Direct shear stress is uniform across the cross-section.
3.The superposition of these two results in the distribution shown in the figure, where the stress is higher on one side (inner edge) and lower on the other (outer edge).
Note: If stress concentration (Wahl's factor) were included, the distribution would be non-linear near the inner edge.Continue learning with Success Tracker
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