Question 1: Evaluate 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 validation of calculations and moment distribution by alternative checking methods, plus analysis of safety factor for a chosen material, incorporating referenced additional data, are required for distinction criteria.

Problem 2:

Q1: Select a standard rolled steel I-section for the simply supported beam shown in figure below. Select an appropriate factor of safety and material strength. Include references for all source information employed. The self-weight of the beam itself may be neglected when calculating the maximum moment.

Justification, with references, for choice of steel grade and factor of safety required, plus incorporation of material selfweight into analysis required for distinction criteria.

Q2: A column is made from a universal I-section 203 x 203 x 60. A load of 86kN is applied on the y-axis offset 40mm from the centroid. Evaluate the stress at the outer edges of the y-axis and comment on the overall stresses on the column.

Problem:

Q1: A hollow circular shaft has an internal diameter of 45 mm and an external diameter of 55 mm. Determine the shear stress produced at the outer and inner surfaces of the shaft when the applied torque is 140Nm; comment on your results.

Q2: 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. Determine the maximum power which can be transmitted by the shaft at 3600rpm.

Q3: Determine 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?