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If the wire diameter of a closed coil helical spring subjected to compressive load is increased from 1 cm to 2 cm, other parameters remaining same, then deflection will decrease by a factor of: 
  • a)
    16
  • b)
    8
  • c)
    4
  • d)
    2
Correct answer is option 'A'. Can you explain this answer?
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If the wire diameter of a closed coil helical spring subjected to comp...
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If the wire diameter of a closed coil helical spring subjected to comp...
Explanation:

  • The deflection of a helical spring is given by the formula:

  • Deflection (δ) = (F * l^3) / (G * d^4 * n), where F is the compressive load, l is the length of the spring, d is the wire diameter, n is the number of coils, and G is the shear modulus of the material.

  • If the wire diameter is increased from 1 cm to 2 cm, then the deflection will decrease by a factor of:

  • (d2/d1)^4 = (2/1)^4 = 16

  • Therefore, the correct answer is option 'A'.

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Community Answer
If the wire diameter of a closed coil helical spring subjected to comp...
Deflation inversely proportional to the 4th power of wire dia
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