# Shaft Problem

## Homework Statement

I'm supposed to design and analyze a shaft including all features to retain the shaft in the bearings and attach the coupling and sheave and the shaft shouldn't fail in static loading or through fatigue.

## Homework Equations

3

-The flexible coupling attaches your shaft to the shaft of a driving motor. The motor shaft has a diameter of 0.4997” +0.0000 / -0.0005”.
- The pillow blocks can be aligned parallel to no better than 25 micrometers.
- The sheave can be of your choosing, but should have a diameter of about 150 mm.
- The shaft rotates at 1200 RPM while transmitting approximately 500 W of power

## The Attempt at a Solution

So far all I've done is found the torque.

Power = Torque * $$\omega$$

500 = T*(1200rpm*(2pi/60))
T = 3.97887 N*m

I'm not exactly sure where to move from here. I attached a copy of what I think the free body diagram is. Is my FBD correct and where should I go from here?

#### Attachments

• fbd.JPG
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