Problem Statement

Figure below shows a stepped shaft supported by two $6300-$series bearings with equal and opposite

gear loads. The load on each gear consists of a radial component and a tangential component. It is

specified that the gear loads are $90$ degrees out of phase and the radial component on each gear is

$0\mathrm{.}466$ times the tangential component.

For the data in the row$($s$)$ assigned from Table $1$ below, select suitable ball bearings $($from attached SKF

catalogue$)$ for a maximum of $10\%$ failure rate, desired life of $80{10}^6$ revolutions, and under the

following conditions:

I. no axial force acting on the shaft.

II$.$ an axial force of $F_a=800lbf$ act on the shaft through gear $1.$

Selection Criteria: Bearings must:

Smallest bore diameter

Meets load$-$rating requirement

Needed Specifications: Bearing number, bore, OD$,$ width $($all in mm$),$ and basic dynamic load rating.

Figure $1$: Gear and Bearing Arrangement for Problems $11-26$ through $11-29.$

Determine the bearing reactions in the x direction by considering the gear loads in the x$-$z plane

Determine the bearing reactions in the y direction by considering the gear loads in the y$-$z plane.

Calculate the magnitude of the total load at bearing $1.$