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 da for steel shaft (3). (c) the rotation angle (PDIA of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b). L₁ TB ค Q (3) TD

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.
Transcribed Image Text: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.
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