Answer Happy

Question 2 (20 marks) A circular stepped shaft ABCD is fixed at end A and subjected to torques at B and D as shown in Figure 2. The shaft has a shear modulus of 80 GPa. Given that D₁ = 80 mm, D₂ = 50 mm, 1₁ = 60 mm, 1₂ = 50 mm, l3 = 50 mm, TB = 500 Nm and Tp = 300 Nm, answer the following questions. a) Sketch the torque distribution along the length of the shaft. (2 Marks) b) Calculate the angle of twist at the end D. (8 Marks) c) Calculate the maximum shear stress in the shaft. (6 Marks) d) If the value of TB is unchanged, what is the required value of Tp so that the angle of twist at D is decreased by 50% (4 Marks) D₂ D₁ TB B A 4₁ 12 Figure 2 TD