A compound shaft drives several pulleys, as shown. Segments (1) and (2) of the compound shaft are hollow aluminum (G = 4000 ksi) shafts that have a polar moment of inertia of J = 2.835 in4. Segments (3) and (4) are solid steel (G = 12000 ksi) shafts that have polar moment inertia of J = 1.024 in4. The bearings shown allow the shaft to turn freely. Assume TB = 980 lb.ft TD= 525 lb.ft TE = 130lb.ft L1 =74in L2 =29in L3 =34in L4 =35in. Calculate the rotation angle (including the correct sign) of pulley E with respect to point A.

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.