$14\mathrm{.}23$ Figure P$14\mathrm{.}23$ shows a countershaft with helical gear $($B$),$ bevel gear $($D$),$ and two sup$-$

porting bearings $($ A and $C).$ Loads acting on the bevel gear are known. Forces on the

helical gears can be determined. Shaft dimensions are known. All shoulder fillets have

a radius of $5$ mm $.$ Only bearing A takes thrust. The shaft rotates at $1000$ rpm and is

made of hardened steel having known values of $S_u$ and $S_y.$ All important surfaces are

finished by grinding.

$($a$)$ Draw load, shear force, and bending moment diagrams for the shaft in the $xy$

and $xz$ planes. Also draw diagrams showing the intensity of the axial force and

torque along the length of the shaft.

$($b$)$ Calculate the forces at the bearings A and $C.$

$($c$)$ Select a suitable bearing for this shaft.

$618$

Chapter $14-$ Rolling$-$Element Bearings

$($a$)$

Forces act at $375-mm$ dia.

$($b$)$

Figuke P$14\mathrm{.}23$

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