A compound shaft drives three gears, as shown in Figure P6.14. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 1.75 in. and a wall thickness of 0.1875 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 60 in., L2= 14 in., L3 = 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB=960 lb-ft, Tp= 450 lb-ft, and T = 130 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Calculate: (a) the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange || А. (c) the rotation angle of gear E with respect to flange A.

A compound shaft drives three gears, as shown in Figure P6.14. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 1.75 in. and a wall thickness of 0.1875 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 60 in., L2= 14 in., L3 = 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB=960 lb-ft, Tp= 450 lb-ft, and T = 130 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Calculate: (a) the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange || А. (c) the rotation angle of gear E with respect to flange A.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

A compound shaft drives three gears, as shown in
Figure P6.14. Segments (1) and (2) of the compound
shaft are hollow bronze [G = 6,500 ksi] tubes, which
have an outside diameter of 1.75 in. and a wall
thickness of 0.1875 in. Segments (3) and (4) are solid
1.00-in.-diameter steel [G = 11,500 ksi] shafts. The
shaft lengths are L¡ = 60 in.., L2 = 14 in., L3 = 20 in.,
and L4 = 26 in. The torques applied to the shafts have
magnitudes of TB= 960 lb-ft, Tp = 450 lb-ft, and TĘ
130 lb-ft, acting in the directions shown. The bearings
shown allow the shaft to turn freely. Calculate:
(a) 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.
P Type here to search
2 25°F Mostly clear

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d
Tp
(1)
(2)
TE
(3)
(4)
1A
C
D
id
L2
L3
L4
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FIGURE P6.14
gs
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A.

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