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Strength Of Materials Miscellaneous

Strength Of Materials

  1. If the wire diameter of a compressive helical spring is increased by 2%, the change in spring stiffness (in%) is _______ (correct to two decimal places.)
    1. 8.243%
    2. 24%
    3. 3%
    4. 43%
Correct Option: A

Stiffness of helical spring

k =
Gd4
64R3 n

∴ k ∝ d4
k'
=
d'
4
kd

k' =
1.02 d
4k
d

k' = 1.08243 k
% increase in k =
k' - k
× 100%
k

=
1.08243 k - k
× 100% = 8.243%
k



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