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## lilMissMindset 2 years ago to my fellow mechanical engineers, please help me with some basic machine design problems. a certain drive shaft rotating at 500 rpm transmits 200 hp to an 8 inch diameter gear. Design a suitable solid shaft for this application. the shaft is ductile. Design stresses are to be limited to Smax= 134 ksi and SHEAR max = 40 ksi

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1. Arronn456

The highest grade of aluminum would be it best bet maybe air plane grade?

2. ajmayberry

The best I can do is say to use $\tau=F/Ao$ $\tau=G * \gamma$ where tau is shear, and G is shear modulus (a constant for each metal) and $\sigma=\epsilon*E$ where E is modulus of elasticity (constant for each metal), sigma is stress, and epsilon is strain. For stress, you sub yield strength or tensile strength (given for each metal). If this is a real application use yield strength because that says when it will deform where tensile strength says where it will break. We don't want any deformity in a real application. $Ao = (do/2)^{2} \pi$ This is all from a materials science POV, so please disregard if you are in a higher level than that.

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