A sleeve coupling is used to connect two 50 mm shafts whose safeshearing stress is 70 MPa. Design the sleeve when it is made ofcast iron with an ultimate shearing stress of 140 MPa. Alsodetermine the factor of safety for which the sleeve has beendesigned. The length of the key is half the length of sleeve andthe section of the key is 12.5 mm x 12.5 mm, find the shearing andcrushing stresses induced in the key used.