Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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 2.20 in. and a wall thickness of 0.1850 in. Segments (3) and (4) are solid 0.80-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 60 in., L2 = 14 in., L3 = 17 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 1000 lb·ft, TD = 480 lb·ft, and TE = 140 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.
![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 2.20 in. and a wall thickness of 0.1850 in. Segments (3)
and (4) are solid 0.80-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 60 in., L₂ = 14 in., L3=
17 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 1000 lb-ft, Tp = 480 lb-ft, and TE
= 140 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.
ی
Answer:
(a) Tmax =
(b) Фc/A =
(c) ΦΕ/Α =
(1)
LI
TB
(2)
B
psi
rad
rad
(3)
L3
TD
D
(4)
L4
TE
E
-X](https://content.bartleby.com/qna-images/question/8fb26a83-a1f1-4353-a645-de1a4c597645/287943b3-87a0-4920-8970-1c104ed86b97/aadd3in_processed.jpeg)
Transcribed Image Text: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 2.20 in. and a wall thickness of 0.1850 in. Segments (3)
and (4) are solid 0.80-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 60 in., L₂ = 14 in., L3=
17 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of TB = 1000 lb-ft, Tp = 480 lb-ft, and TE
= 140 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.
ی
Answer:
(a) Tmax =
(b) Фc/A =
(c) ΦΕ/Α =
(1)
LI
TB
(2)
B
psi
rad
rad
(3)
L3
TD
D
(4)
L4
TE
E
-X
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