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In: Mechanical Engineering

Q3. [15 marks] A solid steel shaft (E = 210 GPa, ? = 0.33) of radius...

Q3. [15 marks] A solid steel shaft (E = 210 GPa, ? = 0.33) of radius 20 mm has been forced into an aluminium gear (E = 70 GPa, ? = 0.33) of outer radius 40 mm and thickness of 10 mm. There is a radial interference of ? = 0.02 mm. a) Determine the contact (interface) pressure, pc ; [6 marks] b) Sketch the radial stress distribution in the shaft and the gear; [5 marks] c) If the coefficient of friction between the shaft and gear is μ = 0.1, what axial force would be required to move the gear along the shaft? [2 marks] d) What is the maximum torque, which can be transmitted through the shaft? [2 marks] If you cannot solve a) and b) for c) and d) assume pc = 100 MPa.

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