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: [tex]{\delta _p} = \beta (\frac{{W{R^3}}}{{EI}})[/tex]. Find the value of β (correct to 4-decimal places). __________

Ans: 0.785 to 0.786