\nand cylindrically ground with a diameter of D=20 mm and with a transverse hole of d=2 mm diameter.
\nThe segment as shown is part of a drive shaft for a mixing machine.
\nUnder normal operating conditions the shaft segment rotates at 30 rpm and is subject to the following
\nfluctuating loads:
\n\u2022 A torque that varies from -120 Nm to +120 Nm once every ten seconds;
\n\u2022 An axial tensile load that varies from 0 to 8 kN at the same rate as the torque variation; and
\nA bending moment that varies between 10 Nm and 40 Nm once every second.
\nDetermine the expected life of this segment of shaft.
\n(If you determine life in excess of the Endurance limit then determine the factor of safety).
\n[100 marks]
\nFigure 1. Shaft segment
\nQUESTION 2
\nFigure 2. Pressure vessel end-cap
\nThe end-cap of a pressure vessel as shown in Figure 2 is secured by 10 off M12 x SAE class 9.8 bolts (with rolled threads). A soft gasket is used such that the clamped member stiffness is one quarter of the bolt stiffness. The internal diameter of the pressure vessel is 300 mm and the pressure in the vessel varies from 0 to P MPa gauge.
\n(a) Determine an appropriate initial tension for the bolts, explaining why you chose this value and describing how it would be achieved.
\n(b) Determine the maximum value of P that would not cause separation of the joint;
\n(c) Determine the maximum value of P that would not cause eventual fatigue failure of the bolts; and (d) Determine the wall thickness required for the pressure vessel for this maximum pressure P.
\n[100 marks]
\n
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