(Solved): A stepped shaft ACB having solid circular cross-sections with two different diameters is held agai ...

A stepped shaft ACB having solid circular cross-sections with two different diameters is held against rotation at the ends (see figure 1). The torque T, has a magnitude of 120 kN*mm. The shaft has a shear modulus of G = 12 GPa. 20 mm 25 mm To -225 mm -450 mm Figure 1. A. If you were to represent the torque T, using the double-headed arrow notation, would the double-headed arrow point towards A or towards B? [0.5] B. This problem involves two unknowns: The torque reaction at A (TA) and the torque reaction at B (TB). However, we can only use one equilibrium equation (torque). What else do we know about this problem that allows us find the two unknowns TA and TB? [0.5] C. Find TA + TB. [0.5] D. Find TA. [2.5] E. Find TB. [2.5] [1.5] [1.5] F. What is the internal torque at the cross-section located 100 mm away from A? G. What is the internal torque at the cross-section located 100 mm away from B? H. What is the angle of twist at the cross-section located 100 mm away from A? 1. What is the angle of twist at the cross-section located 100 mm away from A? J. Where does the maximum angle of twist develop? [1] [1.5] [1.5] K. Find the maximum angle of twist in degrees. [2.5] L. What is the maximum shear stress in the portion of the shaft that has a diameter of 20 mm? [2] M. What is the maximum shear stress in the portion of the shaft that has a diameter of 25 mm? [2]