Direction: A rigid beam is hinged at one end and supported on linear elastic springs (both having a stiffness of ‘k’) at points ‘1’ and ‘2’ and an inclined load acts at ‘2’, as shown.
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Which of the following options represents the deflections δ1 and δ2 at points ‘1’ and ‘2’?
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δ1 = 2 
2P 
and δ2 = 4 2P 5 k 5 k -
δ1 = 2 P and δ2 = 4 P 5 k 5 k -
δ1 = 2 P and δ2 = 4 P 5 √2k 5 √2k -
δ1 = 2 √2P and δ2 = 4 √2P 5 k 5 k
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Correct Option: B
Taking moment about hinge.
MH = 0
kδ1 + kδ2.2L = p × 2L
∴ kδ1 + 2kδ2 = 2P
From the figure,
⇒ δ2 = 2 × δ1
(since the distance is l for both)
| ∴ δ1 = | , δ2 | |||
| 5k | 5k |
