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 Gb = 40 GPa and Gs = x0 GPa. The length of the assembly is L = 400 mm. The outer diameters of the shaft and sleeve are d1 = 70 mm and d2 = 90 mm, respectively. Given the shear stress of brass is τb = 70 MPa and shear stress of steel is τs = 110 MPa. [Note: x value - Use the last non-zero digit from your group number. If the group number is zero, use the second last digit instead. For example, if your group number is 5, your x value is 5 and Gs = 50 GPa; if your group number is 10, your x value is 1 and Gs = 10 GPa.]
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 Gb
= 40 GPa and Gs = x0 GPa. The length of the assembly is L = 400 mm. The outer
diameters of the shaft and sleeve are d1 = 70 mm and d2 = 90 mm, respectively. Given
the shear stress of brass is τb = 70 MPa and shear stress of steel is τs = 110 MPa.
[Note: x value - Use the last non-zero digit from your group number. If the group number
is zero, use the second last digit instead. For example, if your group number is 5, your x
value is 5 and Gs = 50 GPa; if your group number is 10, your x value is 1 and Gs = 10
GPa.]
In this situation, group number is 2.
1) Calculate the torque T
i. if the shear stress of the brass sleeve in section AB is limited to τb = 70 MPa.
ii. if the shear stress of the steel shaft in section BC is limited to τs = 110
MPa.
2) Justify the maximum allowable value for torque T based on question 1.
![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 Gp
Brass sleeve
d; = 90mm
di = 70mm
Steel shaft
= 40 GPa and Gs = x0 GPa. The length of the assembly is L = 400 mm. The outer
diameters of the shaft and sleeve are di = 70 mm and d2 = 90 mm, respectively. Given
the shear stress of brass is Tb = 70 MPa and shear stress of steel is Ts = 110 MPa.
[Note: x value - Use the last non-zero digit from your group number. If the group number
B
1 = 200mm
L = 200mm
is zero, use the second last digit instead. For example, if your group number is 5, your x
value is 5 and G = 50 GPa; if your group number is 10, your x value is 1 and Gs = 10
GPa.]
Figure 1: A compound of shaft consisting brass sleeve and steel shaft.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fb41708-6219-404f-b095-11a4f0a684db%2Fa2d9b94d-fdd6-4ba8-b620-98541efe43a1%2Fwm9wky8_processed.jpeg&w=3840&q=75)
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