2. A steel shaft (G, = 80 GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (G, = 40 GPa) that is securely bonded to the %3D steel. The outer diameters of the shaft and sleeve are di = 75 mm and d2 = 90 mm, respectively. The maximum shear stress in brass is 70 MPa, maximum %3D shear stress in steel is 110 MPa and the maximum allowable angle of twist is 5°. What is the maximum allowable torque that can be applied at the ends of

Structural Analysis
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Chapter2: Loads On Structures
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2. A steel shaft (G = 80 GPa) of total length L = 3.0 m
is encased for one-third of its length by a brass
sleeve (G, = 40 GPa) that is securely bonded to the
%3D
%3D
steel. The outer diameters of the shaft and sleeve
are di = 75 mm and d2 = 90 mm, respectively. The
maximum shear stress in brass is 70 MPa, maximum
shear stress in steel is 110 MPa and the maximum
allowable angle of twist is 5°. What is the maximum
allowable torque that can be applied at the ends of
the shaft?
Brass
Steel
shaft
di = 75 mm
d2 = 90 mm
sleeve
T
T
A
B
1.0 m-
L
= 2.0 m-
2
= 2.0 m
d1
dy
Brass-
sleeve
Steel
shaft
d2
d2
Transcribed Image Text:2. A steel shaft (G = 80 GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (G, = 40 GPa) that is securely bonded to the %3D %3D steel. The outer diameters of the shaft and sleeve are di = 75 mm and d2 = 90 mm, respectively. The maximum shear stress in brass is 70 MPa, maximum shear stress in steel is 110 MPa and the maximum allowable angle of twist is 5°. What is the maximum allowable torque that can be applied at the ends of the shaft? Brass Steel shaft di = 75 mm d2 = 90 mm sleeve T T A B 1.0 m- L = 2.0 m- 2 = 2.0 m d1 dy Brass- sleeve Steel shaft d2 d2
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