a) A line shaft as shown in Figure Q is driven using a motor placed vertically below it. The pulley on the line shaft is 1.6 m in diameter and has belt tensions 7.5 kN and 2.4 kN on the tight side and slack side of the belt respectively. Both tensions may be assumed to be vertical and the weight of the pulley is negligible. If the pulley is overhang from the shaft, the distance of the centre line of the pulley from the centre line of the bearing being 500 mm. 6. Figure Q (i) Predict using distortion energy theory, the appropriate diameter of the shaft that failure will not occur if the yield strength, Sy = 370 Mpa and factor of safety is 2.5.  (ii) Assuming the maximum allowable shear stress of 42 MPa, find its diameter using maximum shear stress theory.  (iii) Comparing the diameters in (i) and (iii) above, which of them would you have used to design your shaft and why?

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a) A line shaft as shown in Figure Q is driven using a motor placed vertically below it. The pulley on the line shaft is 1.6 m in diameter and has belt tensions 7.5 kN and 2.4 kN on the tight side and slack side of the belt respectively. Both tensions may be assumed to be vertical and the weight of the pulley is negligible. If the pulley is overhang from the shaft, the distance of the centre line of the pulley from the centre line of the bearing being 500 mm.
6.
Figure Q
(i) Predict using distortion energy theory, the appropriate diameter of the shaft that failure will not occur if the yield strength, Sy = 370 Mpa and factor of safety is 2.5. 
(ii) Assuming the maximum allowable shear stress of 42 MPa, find its diameter using maximum shear stress theory. 
(iii) Comparing the diameters in (i) and (iii) above, which of them would you have used to design your shaft and why?

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