points awarded

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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 $14\mathrm{.}023.$b $-$ Load and Power Rating

Determine the value of the transmitted load, $W^t,$ and the achlevable power based on the allowable bending stress

calculated in the previous question.

The value of the transmitted load is

The achlevable power based on the allowable bending stress is

$$ hp$.$