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 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3= 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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. TB TD (1) TE (3) Answer: (a) Tmax= (b) DC/A= (c) DE/A= L₁ C B L2 L3 psi rad rad D (4) LA E -X

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 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3= 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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. TB TD (1) TE (3) Answer: (a) Tmax= (b) DC/A= (c) DE/A= L₁ C B L2 L3 psi rad rad D (4) LA E -X

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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