Deflection in closely coiled helical springs: effect of number of turns Two closely coiled helical springs A and B are identical in all respects except that spring A has half as many turns as spring B. Find the ratio of their deflections δA/δB under the same load. Choose the correct value.
Mechanical Engineering
Strength of Materials
Difficulty: Easy
Choose an option
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A1/8
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B1/4
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C1/2
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D2
Answer
Correct Answer: 1/2
Explanation
FormulaDeflection of a close-coiled helical spring: δ = (8 P D³ n)/(G d⁴). For identical D, d, G and same load P, δ ∝ n.
ApplyIf nA = ½ nB, then δA/δB = nA/nB = 1/2.
Final Answer1/2