# Solved Problem on Beams

GATE 2013 : Civil Engineering

Q. A uniform beam (EI=constant) PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, δp,  at the loaded point Q is given by: ${\delta _p} = \beta (\frac{{W{R^3}}}{{EI}})$. Find the value of β (correct to 4-decimal places). __________

Ans: 0.785 to 0.786