Which of the following options represents the deflections δ 1 and δ 2 at points '1' and '2'?

Correct Answer is : δ1=25×(Pk)andδ2=45×(Pk)

\delta _{1} = \frac{2}{5} \times (\frac{2P}{k}) \:and\:\delta _{2} = \frac{4}{5} \times (\frac{2P}{k})

\delta _{1} = \frac{2}{5} \times (\frac{P}{k}) \:and\:\delta _{2} = \frac{4}{5} \times (\frac{P}{k})

\delta _{1} = \frac{2}{5} \times ( {P}/{\sqrt{2}k}) \:and\:\delta _{2} = \frac{4}{5} \times ( {P}/{\sqrt{2}k})

\delta _{1} = \frac{2}{5} \times ( {\sqrt{2}P}/{k}) \:and\:\delta _{2} = \frac{4}{5} \times ( {\sqrt{2}P}/{k})

GATE Civil Engineering (CE) 2011 Solved Paper

Question Numbers: 62-63
A rigid beam is hinged at one end and supported on linear elastic spring(both having a stiffness of (‘k’) at points '1' and '2', and an inclined load acts at '2', as shown.

Question : 62 of 65

Marks: +1, -0

Which of the following options represents the deflections δ₁ and δ₂ at points '1' and '2'?

$δ _{1} = \;{2}/{5} × (\;{2P}/{k}) \:and\:δ _{2} = \;{4}/{5} × (\;{2P}/{k})$
$δ _{1} = \;{2}/{5} × (\;{P}/{k}) \:and\:δ _{2} = \;{4}/{5} × (\;{P}/{k})$
$δ _{1} = \;{2}/{5} × (\;{P}/{{√{2}}k}) \:and\:δ _{2} = \;{4}/{5} × (\;{P}/{{√{2}}k})$
$δ _{1} = \;{2}/{5} × (\;{{√{2}}P}/{k}) \:and\:δ _{2} = \;{4}/{5} × (\;{{√{2}}P}/{k})$

Validate

Go to Question:

Prev Question

Next Question