problem 1: Determine distribution of shear force, bending moment and stress due to bending in the simply supported beam shown in the figure below, the beam self-weight is included in the uniformly distributed load.
Sketch graphs of shear force and bending moment distribution and validation of calculations by alternative checking methods, plus analysis of safety factor for a chosen material, incorporating referenced additional data, are required for distinction criteria.
problem 2: A hollow circular shaft has an internal diameter of 45 mm and an external diameter of 55 mm. find out the shear stress produced at the outer and inner surfaces of the shaft when the applied torque is 140Nm; comment on your results.
problem 3: The transmission output shaft for a heavy goods vehicle can withstand a safe working shear stress of 60MPa. Its outside diameter is 55mm and its internal diameter is 45mm. find out the maximum power which can be transmitted by the shaft at 3600 rpm.
problem 4: find out the angular deflection (in degrees) produced in a solid circular shaft of diameter 14.5 mm and length 0.55 m when the shear stress is 25MPa and the shear modulus 90GPa. What torque would be required to achieve this?