A cylinder with a nominal 2.5 in ID, a 4.0 in OD, and a 3.0 in length is to be mated with a solid shaft with a nominal 2.5 in diameter. A medium drive fit is desired (as defined in Table 7-9). The cylinder and shaft are made from steel, with Sy = 100 kpsi and E = 30 Mpsi. The coefficient of friction for the steel interface is 0.7. a. Specify the maximum and minimum allowable diameters for both the cylinder hole and the shaft. b. Determine the torque that can be transmitted through this joint, assuming the shaft and cylinder are both manufactured within their tolerances such that the minimum interference is achieved. c. Suppose the shaft and cylinder are both manufactured within their tolerances such that the maximum interference is achieved. Check for yielding of the cylinder at its inner radius by finding the following: i. The pressure at the interface ii. The tangential and radial stresses in the cylinder, at its inner radius. iii. The factor of safety for static yielding of the cylinder, using the distortion-energy failure theory.
A cylinder with a nominal 2.5 in ID, a 4.0 in OD, and a 3.0 in length is to be mated with a solid shaft with a nominal 2.5 in diameter. A medium drive fit is desired (as defined in Table 7-9). The cylinder and shaft are made from steel, with Sy = 100 kpsi and E = 30 Mpsi. The coefficient of friction for the steel interface is 0.7.
a. Specify the maximum and minimum allowable diameters for both the cylinder hole and the shaft.
b. Determine the torque that can be transmitted through this joint, assuming the shaft and cylinder are both manufactured within their tolerances such that the minimum interference is achieved.
c. Suppose the shaft and cylinder are both manufactured within their tolerances such that the maximum interference is achieved. Check for yielding of the cylinder at its inner radius by finding the following:
i. The pressure at the interface
ii. The tangential and radial stresses in the cylinder, at its inner radius.
iii. The factor of safety for static yielding of the cylinder, using the distortion-energy failure theory.
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