Required information

A spur gearset has $17$ teeth on the pinion and $51$ teeth on the gear. The pressure angle is $20\backslash$deg and the overload factor

K$\_($o$)=1.$ The diametral pitch is $6$ teet$($h$)/($i$)$n and the face width is $2$ in $.$ The pinion speed is $1,850$re$($v$)/($m$)$in and its cycle life is

to be $10^(8)$ revolutions at a reliability R$=0\mathrm{.}99.$ The quality number is $5.$ The material is a through$-$hardened steel, grade $1,$

with Brinell hardnesses of $232$ core and case of both gears. For a design factor of $1\mathrm{.}600,$ rate the gearset for these

conditions using the AGMA method. Use $($Y$\_($N$))\_($P$)=1\mathrm{.}6831(10^(8))^(-0\mathrm{.}0323)$ and $($Z$\_($N$))\_($P$)=1\mathrm{.}4488(10^(8))^(-0\mathrm{.}023).$

Determine the value of each of the following:

a$.$ The stress$-$cycle factor, pinion, $($Y$\_($N$))\_($P$)$

b$.$ The pitch$-$line velocity, V

c$.$ The allowable bending stress on the pinion, $\backslash$sigma $\_($all $)$

d$.$ The dynamic factor, K$\_($v$)$

e$.$ The pinion size factor, K$\_($SP$)$

f$.$ The load$-$distribution factor, K$\_($m$)$

The design factor of safety and the factor of safety for bending are the same. Assume that the size factor for the pinion is $1.$

The stress$-$cycle factor, pinion, $($Y$\_($N$))\_($p$),$ is $.($Round the final answer to three decimal places.$)$

The pitch$-$line velocity, V$,$ is

f$($t$)/($m$)$in$.$

The allowable bending stre

The dynamic factor, K$\_($v$),$ is

pinion, $\backslash$sigma $\_($all $),$ is

psi. $($Round the final answer to the nearest whole number.$)$

The pinion size factor, K$\_($SP$),$ is

Round the final answer to three decimal places.K$\_($m$),$ is

$.($Round the final answer to three decimal places.$)$

$.($Round the final answer to three decimal places.$)$