A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G = 2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G=8000 ksi] shafts. Assume that L₁=60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and TE-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle (c) Determine the rotation angle CIA of flange Ćwith respect to flange A. of gear E with respect to flange A.

A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G = 2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G=8000 ksi] shafts. Assume that L₁=60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and TE-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle (c) Determine the rotation angle CIA of flange Ćwith respect to flange A. of gear E with respect to flange A.

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 compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and Te-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress max in the compound shaft. (b) Determine the rotation angle (c) Determine the rotation angle of flange C with respect to flange A. of gear E with respect to flange A. Answers: (a) Tmax (b) CIA (C) ΦΕΙΛ = = e 5 11.48 i -2.197 = i -2.74 B TB L2 (3) ksi. Tp TE ᾽Ε
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