A hollow shaft with an outside diameter of 113 mm and an inside diameter of 103 mm is subjected to both a torque of T = 6.2 kN-m and an axial tension load of P = 106 kN, as shown. Determine the normal and shear stresses at point H and show them on a stress element. (1) B Answers: i MPa, o, = i MPa, Txy = i MРа.

A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 200 mm and a wall thickness of 10 mm. Segment (2) has an outside diameter of 150 mm and a wall thickness of 10 mm. The shaft is subjected to torques TB = 42 kN-m and TC = 18 kN-m, which act in the directions shown in Figure. Determine the maximum shear stress magnitude in Segment (2). J1= 54019686 mm4J23D 21551281 mm4 TB Tc (2) O 88.8 MPa 62.3 MPa O 44.4 MPa 124 6 MPa

The copper pipe (G= 50 GPa) is tightly secured to the wall at A, has an outer diameter of 40 mm and an inner diameter of 37 mm, and subjected to three torques as shown in Figure 5. Determine the absolute maximum shear stress developed in the pipe and plot the variation of shear stress through the pipe wall. (i) (ii) Produce a graphical plot of the variation of angle of twist from end A to the free end (wind-up diagram) if the distances between the applied torques is equal at 300 mm. 80 N.m 20 N·m Figure 5 30 N.m

1. A loaded bicycle pedal crank is shown below. q 750N (2 direction) 72/ A @ Top 8 yo B@ Top d = 15 mm x₁ = 125 mm x2 = 24 mm y₁ = 60 mm у2=X2 a. Sketch elements A and B and show the stress states. Clearly label the coordinate axes on the elements. Make sure you calculate the normal (o) and shear stresses (T). Do not neglect Tv. Find the principal stresses for each element using Mohr's Circle. b.