List of top Applied Mechanics and Design Questions on Deflection of beams asked in GATE ME

A cantilever beam with a uniform flexural rigidity \( EI = 200 \times 10^6 \, \text{N.m}^2 \) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is 10000 N.m². The magnitude of the slope of the beam at its free end is \(\underline{\hspace{1cm}}\) micro-radian (round off to nearest integer).

A plane frame PQR (fixed at P and free at R) is shown in the figure. Both members (PQ and QR) have length \( L \), and flexural rigidity \( EI \). Neglecting the effect of axial stress and transverse shear, the horizontal deflection at free end, \( R \), is