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 2.15 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.15-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 62 in., L2 = 8 in., L3 = 25 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 980 lb·ft, TD = 420 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] tubes, which have an outside diameter of 2.15 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.15-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 62 in., L2 = 8 in., L3 = 25 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 980 lb·ft, TD = 420 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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 2.15 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.15-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 62 in., L2 = 8 in., L3 = 25 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 980 lb·ft, TD = 420 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.
Transcribed Image Text:Answer:
(a) Tmax=
(b) OC/A =
(c) PE/A =
(1)
LI
TB
B
L2
psi
rad
rad
C
(3)
L3
TD
D
L4
TE
E
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