A motor supplies 154 hp at 470 rpm to flange A of the shaft. Gear B transfers 74 hp of power to operating machinery in the factory, and the remaining power in the shaft is transferred by gear D. Shafts (1) and (2) are solid aluminum (G= 4400 ksi] shafts that have the same diameter and an allowable shear stress of r = 5.3 ksi. Shaft (3) is a solid steel (G= 10800 ksi] shaft with an allowable shear stress of = 12.3 ksi. Assume that L₁-2 ft. L 1.4 ft. Lg-1.8 ft. Determine: (a) the minimum permissible diameter dd₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter da for steel shaft (3). (c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b). Answers: (a) d₁-d₂- (b) dj- (c) DIA 8 in. in. To

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
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A motor supplies 154 hp at 470 rpm to flange A of the shaft. Gear B transfers 74 hp of power to operating machinery in the factory, and
the remaining power in the shaft is transferred by gear D. Shafts (1) and (2) are solid aluminum (G = 4400 ksi] shafts that have the same
diameter and an allowable shear stress of r= 5.3 ksi. Shaft (3) is a solid steel (G-10800 ksi] shaft with an allowable shear stress of
r = 12.3 ksi. Assume that Ly-2 ft. L₂-1.4 ft. Lg-1.8 ft. Determine:
(a) the minimum permissible diameter dyd₂ for aluminum shafts (1) and (2).
(b) the minimum permissible diameter da for steel shaft (3).
(c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a)
and (b).
Answers:
(a) d-da-
(b) dj-
(c) DIA=
eTextbook and Media.
8
in.
in.
To
Transcribed Image Text:A motor supplies 154 hp at 470 rpm to flange A of the shaft. Gear B transfers 74 hp of power to operating machinery in the factory, and the remaining power in the shaft is transferred by gear D. Shafts (1) and (2) are solid aluminum (G = 4400 ksi] shafts that have the same diameter and an allowable shear stress of r= 5.3 ksi. Shaft (3) is a solid steel (G-10800 ksi] shaft with an allowable shear stress of r = 12.3 ksi. Assume that Ly-2 ft. L₂-1.4 ft. Lg-1.8 ft. Determine: (a) the minimum permissible diameter dyd₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter da for steel shaft (3). (c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b). Answers: (a) d-da- (b) dj- (c) DIA= eTextbook and Media. 8 in. in. To
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