Multiple choice

Directions: 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.

Which of the following options represents the deflections $\delta_1$ and $\delta_2$ at points ‘1’ and ‘2’?

  1. $\delta_1 = \frac{2}{5} \Big(\frac{2P}{k}\Big) and \delta_2 \frac{4}{5}\Big(\frac{2P}{k}\Big)$
  2. $\delta_1 = \frac{2}{5} \Big(\frac{P}{k}\Big) and \delta_2 \frac{4}{5}\Big(\frac{P}{k}\Big)$
  3. $\delta_1 = \frac{2}{5} \Big(\frac{P}{\sqrt{2}k}\Big) and \delta_2 \frac{4}{5}\Big(\frac{P}{\sqrt{2}k}\Big)$
  4. $\delta_1 = \frac{2}{5} \Big(\frac{\sqrt{2}P}{k}\Big) and \delta_2 \frac{4}{5}\Big(\frac{\sqrt{2}P}{k}\Big)$
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B Correct answer
Explanation

 

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