GATE ME 2017 Set 2 — Question 33
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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Question
A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is . For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is ________
Correct answer
6 to 6
Solution
The maximum shear stress in a helical spring is given by:where:
is the Wahl stress factor,
is the axial load,
is the mean coil diameter,
is the wire diameter.The Wahl factor depends on the spring index . If both and are doubled, the spring index remains unchanged. Therefore, remains constant.Let .
is the Wahl stress factor,
is the axial load,
is the mean coil diameter,
is the wire diameter.The Wahl factor depends on the spring index . If both and are doubled, the spring index remains unchanged. Therefore, remains constant.Let .
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