QUESTION 1. The diameter of a pulley that is connected to the mid-span of a hollow shaft is 175mm. The pulley on the shaft is driven by a reciprocating compressor through a belt drive system, the ratio of the diameters of the connected pulleys on either sides is given as 1:2. The power transmitted by the hollow shaft is given as 45 kW while rotating at a speed of 350 rpm. The shaft has a span of 750mm which is supported on its ends by sturdy bearings that will not allow for self alignment and thereby generating bending moment at the supporting components. The tension ratio between the tight and slack sides of the belt is given as 1.9:1 with an angle of wrap of 180 degrees. Design the shaft considering that the available shaft material is BS970:070M55 that will fail in shear as per von Mises criteria, a factor of safety of 3.5 can be assumed for the material on its ultimate strength.