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Steel structures miscellaneous

  1. A steel strip of length, L = 200 mm is fixed at end A and rests at B on a vertical spring of stiffness, k = 2 N/mm. The steel strip is 5 mm wide and 10 mm thick. A vertical load, P = 50 N is applied at B, as shown in the figure. Considering E = 200 GPa, the force (in N) developed in the spring is____________
    1. 3
    2. 12
    3. 6
    4. 9
Correct Option: A


K =
F
δ

K =
R
δ

⇒ δ =
R
K

For cantilever,
δ =
(p - R)L3
=
R
3EIk


⇒ R = 3N



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