A compound shaft is made by rigidly securing a sleeve of phosphor bro…

Question

A compound shaft is made by rigidly securing a sleeve of phosphor bronze on a solid steel shaft 40 mm diameter. If the maximum shear stresses to be attained in the two materials of the shafts are $40\text{ MN/m}^2$ and $64\text{ MN/m}^2$ for bronze and steel respectively, determine:

i) Outer diameter of the sleeve

ii) Torque transmitted by the compound shaft

iii) Power transmitted by the shaft at $200\text{ rpm}$.

iv) Angle of twist of the shaft per meter length.

Take the $C_{\text{steel}} = 80\text{ GN/m}^2$ and $C_{\text{bronze}} = 40\text{ GN/m}^2$.

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