2. A steel shaft (G = 80 GPa) of total length L = 3.0 mis encased for one-third of its length by a brasssleeve (G, = 40 GPa) that is securely bonded to the%3D%3Dsteel. The outer diameters of the shaft and sleeveare di = 75 mm and d2 = 90 mm, respectively. Themaximum shear stress in brass is 70 MPa, maximumshear stress in steel is 110 MPa and the maximumallowable angle of twist is 5°. What is the maximumallowable torque that can be applied at the ends ofthe shaft?BrassSteelshaftdi = 75 mmd2 = 90 mmsleeveTTAB1.0 m-L= 2.0 m-2= 2.0 md1dyBrass-sleeveSteelshaftd2d2

Given, Steel shaftGs=80 GPa Total length L=3 m Gb=40 GPa Diameter, d1=75 mmd2=90 mm Shear stress in…

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

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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