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1: A 3 m alloy shaft fixed at one end has a torsional shearing stress capacity of 55 MPa. Due to improper fabrication, its cross-sectional
area has become irregularly shaped. Its effective polar moment of inertia has become 2 x10-7 m4, and the maximum torque stress acts at 7.5 cm from
the center of the shaft.
[1]: If the shaft is to be replaced by a properly manufactured solid circular shaft that has a maximum
shearing stress capacity of 70 MN/m2, what is the minimum diameter required so it can withstand the same
load?
[2]: Calculate the thickness of a hollow circular shaft with the same outside diameter calculated in
item [1] that can carry the same load. Limit the maximum shearing stress of the hollow circular shaft to
0.09 GPa.
Determine the angle of twist on the free end of the shaft. Use G = 150 x103 GPa. [3]: Use the solid
circular shaft from [1] and use the hollow circular shaft from [2].
Answers:
1 22.016 mm / 3 decimals 7 -0.357 MPa / 3 decimals
2 3.450 mm / 3 decimals 8 70.033 ° / 3 decimals
3 1.272 x10-4 rad / 3 decimals 9 2.037 rad / 3 decimals
4 9.369 x10-3 ° / 3 decimals
to generate a solution
a solution
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