Required Information

Problem $14\mathrm{.}023-$ Fatigue Design in Gears

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

$K_o=1.$ The diametral pitch is $6$ teeth$/$in and the face width is $2$ in $.$ The pinion speed is $1,650re\frac{v}{m}in$ and its cycle life is

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

$1,$ with Brinell hardnesses of $232$ core and case of both gears. For a design factor of $2\mathrm{.}500,$ rate the gearset for these

conditions using the AGMA method. Use $(Y_N{)}_P=1\mathrm{.}6831({10}^8{)}^{-0\mathrm{.}0323}$ and $(Z_N{)}_P=1\mathrm{.}4488({10}^8{)}^{-0\mathrm{.}023}.$

Problem $14\mathrm{.}023.$c $-$ Contact Stress Factors and Power Rating

Determine the value of the transmitted load, $W^t,$ the stress$-$cycle factor for pitting resistance $($pinion$),$ the geometry factor for pitting

resistance, the allowable contact stress, and the achlevable power based on the allowable pitting stress.

The stress$-$cycle factor for pitting resistance $($pinion$),Z_N,$ is $.($Round the final answer to three decimal places.$)$

The geometry factor for pitting resistance, $l,$ is

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

The allowable contact stress, ${}_c,$ all, Is $.$

The value of the transmitted load, $W_t,$ is lbf$.$

The achlevable power based on the allowable pitting stress, $H,$ is

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