A round cylindrical beam is horizontal and spans l = 80 cm. The material has a modulus of elasticity E = 69
GPa and a density of gamma = 2700 kg/m3. Ends of the beam are built in. Concentrated loads of F = 162.5 N act
at 30 cm from each end. The uniformly distributed self-weight must also be considered. Displacement at
the centre is limited to 10-3 cm