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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e11f595-a40a-4bf3-b7d2-0a0cab1f1556%2Fec8a9cb4-fef2-4b68-b82c-ea90cb679e77%2Fdx6mvt_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
Transcribed Image Text:Тв
d
Tp
(1)
(2)
TE
(3)
(4)
1A
C
D
id
L2
L3
L4
re
FIGURE P6.14
gs
ge
A.
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