A motor supplies 173 hp at 650 rpm to flange A of the shaft. Gear B transfers 75 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 T = 5.8 ksi. Shaft (3) is a solid steel [G=9100 ksi] shaft with an allowable shear stress of T = 10.2 ksi. Assume that L₁=2.3 ft, L₂=1.2 ft, L3=2.9 ft. Determine: (a) the minimum permissible diameter d₁=d₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter d3 for steel shaft (3). (c) the rotation angle DIA of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

A motor supplies 173 hp at 650 rpm to flange A of the shaft. Gear B transfers 75 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 T = 5.8 ksi. Shaft (3) is a solid steel [G=9100 ksi] shaft with an allowable shear stress of T = 10.2 ksi. Assume that L₁=2.3 ft, L₂=1.2 ft, L3=2.9 ft. Determine: (a) the minimum permissible diameter d₁=d₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter d3 for steel shaft (3). (c) the rotation angle DIA of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A motor supplies 173 hp at 650 rpm to flange A of the shaft. Gear B transfers 75 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 t = 5.8 ksi. Shaft (3) is a solid steel [G= 9100 ksi] shaft with an allowable shear stress of T = 10.2 ksi. Assume that L₁=2.3 ft, L2=1.2 ft, L3-2.9 ft. Determine: (a) the minimum permissible diameter d₁=d₂ for aluminum shafts (1) and (2). (b) the minimum permissible diameter d3 for steel shaft (3). (c) the rotation angle A 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) d3= 1.680 (c) & DIA 2.45 = i 0.5106 TB B L2- in. in. (3) L3 Tp.
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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