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(Solved): A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are ...
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.35 in. and a wall thickness of 0.1175 in. Segments (3) and (4) are solid 1.10-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 50 in., L2 = 18 in., L3 = 15 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 450 lb·ft, and TE = 170 lb·ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate:
(a) the magnitude of the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to flange A.
(c) the rotation angle of gear E with respect to flange A.
![A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow
bronze [G = 6,500 ksi] t](https://media.cheggcdn.com/study/d13/d1335952-9359-4014-8836-764d2ace51a5/image)
(a) the magnitude of the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to flange A.
(c) the rotation angle of gear E with respect to flange A.
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.35 in. and a wall thickness of 0.1175 in. Segments (3) and (4) are solid 1.10-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L? = 50 in., L2=18 in., L3= 15 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of Tg = 970 lb-ft, Tp = 450 lb-ft, and Tg = 170 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate: (a) the magnitude of the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A. Answer: (a) Tmax= (b) C/A= (c) DE/A= Save for Later LI TB B L2 psi rad rad C L3 Tp D (4) LA TE E -X