A cantilever beam 1–2 of length L and constant flexural rigidity EI is subjected to a co...

A cantilever beam 1–2 of length L and constant flexural rigidity EI is subjected to a concentrated load P at the midspan, as shown in Fig. P7.29. Find the vertical deflection v2 and angle of rotation θ₂ at the free end by replacing the applied load with the equivalent nodal loads acting at each end of the beam (see Table D.5).