A compound shaft drives three gears, as shown. Segments bronze [G= 6,500 ksi] tubes, which have an outside diamet Segments (3) and (4) are solid 1.10-in.-diameter steel [G=1 L₂=18 in., L3= 15 in., and L4 = 33 in. The torques applied to 450 lb-ft, and Tg = 170 lb-ft, acting in the directions shown. Using the sign convention presented in Section 6.6., calcula (a) the magnitude of the maximum shear stress in the comp (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A. Answer: (a) Tmax= (b) OC/A= (c) DE/A= Save for Later L₁ TB B L₂ L3 psi rad (3) rad Tp D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 2.35 in. and a wall thickness of 0.1175 in.
Segments (3) and (4) are solid 1.10-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 50 in.,
L2 = 18 in., L3= 15 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of Tg = 970 lb-ft, Tp =
450 lb-ft, and Tg = 170 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.
Answer:
(a) Tmax=
(b) C/A=
(c) DE/A=
Save for Later
LI
TB
B
L2
psi
rad
rad
C
L3
Tp
D
(4)
LA
TE
E
-X
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 2.35 in. and a wall thickness of 0.1175 in. Segments (3) and (4) are solid 1.10-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 50 in., L2 = 18 in., L3= 15 in., and L4 = 33 in. The torques applied to the shafts have magnitudes of Tg = 970 lb-ft, Tp = 450 lb-ft, and Tg = 170 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. Answer: (a) Tmax= (b) C/A= (c) DE/A= Save for Later LI TB B L2 psi rad rad C L3 Tp D (4) LA TE E -X
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