30 mm 70 mm

Two solid steel wall supported shafts are connected using the 4 bolt flange. A torque is applied to one side of the bolted connection. Using G = 11.2x10 psi determine the shear stress in the 4" diameter bolts which are on a 2.5" bolt circle diameter. Solve with the applied torque on the left side coupling as shown. Also determine the bolt shear stress if the applied torque was on the other side of the coupling. 1.5 in. 1.25 in. T-350 lb ft 3 ft 2 ft

2. The tapered cylindrical bar in Fig. 2 is subjected to opposing torques T on its free ends. For the tapered section only, the angle of twist 0 can be expressed as: 32 TI(d? + d,d2 + dž) Gd d? 37n (a) Derive an expression for the effective spring constant keff for the entire bar, treating each segment as a torsional spring in series. Fig. 2 (b) For the bar shown, let; I, = 12 = 12 in., 1= 24 in., d1= 0.25 in., d2= 1 in., T = 1000 lbf-in., and G = 13.5 x 103 kpsi. Calculate the angle twist 0 for the entire bar using the expression for kef determined in (a). Verify that this value is the sum the angles of twist for each individual %3D %3D segment.

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