Determine the polar moment of inertia for brass sleeve and steel
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the polar moment of inertia for brass sleeve and steel shaft.
Transcribed Image Text:Brass sleeve
d: = 90mm
di = 70mm
Steel shaft
T
B
I = 200mm
I- 200mm
Figure 1: A compound of shaft consisting brass sleeve and steel shaft.
![A composite shaft consists of a brass sleeve securely bonded to half steel shaft, fixed at end
A as shown in Figure 1. The brass sleeve and steel shaft have a modulus rigidity Gs = 40
GPa and G. = x0 GPa. The length of the assembly is L = 400 mm. The outer diameters of
the shaft and sleeve are di = 70 mm and d = 90 mm, respectively. Given the shear stress of
brass is th= 70 MPa and shear stress of steel is t,= 110 MPa.
[Note: x value - Use the last non-zero digit from your matric number. If the number is zero,
use the second last digit instead. For example, if your matric number is B051810204, your
x value is 4 and G, = 40 GPa; if your matric number is B051810090, your x value is 9 and
G, = 90 GPa.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F540793eb-a56b-4b09-8afa-5310c0bfd224%2Fffa12b74-b02d-4b00-9ea4-4268c8f436de%2F8qcyyjn_processed.png&w=3840&q=75)
Transcribed Image Text:A composite shaft consists of a brass sleeve securely bonded to half steel shaft, fixed at end
A as shown in Figure 1. The brass sleeve and steel shaft have a modulus rigidity Gs = 40
GPa and G. = x0 GPa. The length of the assembly is L = 400 mm. The outer diameters of
the shaft and sleeve are di = 70 mm and d = 90 mm, respectively. Given the shear stress of
brass is th= 70 MPa and shear stress of steel is t,= 110 MPa.
[Note: x value - Use the last non-zero digit from your matric number. If the number is zero,
use the second last digit instead. For example, if your matric number is B051810204, your
x value is 4 and G, = 40 GPa; if your matric number is B051810090, your x value is 9 and
G, = 90 GPa.]
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