In accordance with the American Gear Manufacturers Association $($AGMA$)$ standards, the

design of a spur gear involves specific functional parameters and design decisions. The gear is

tailored to handle a load of $18\mathrm{.}5$ kW plus the last digit of the student ID$,$ operating at a speed

of $1050$ rpm plus the last two digits of the student ID$,$ and at a temperature of $200\backslash$deg C$.$ It is

designed for a pinion life of $108$ cycles, aiming for a high reliability of $99\mathrm{.}9\%,$ and is suited for

medium shock conditions from both the prime mover and the driven machine. The gear ratio

is set at $3$:$1$ with a design factor of nd $=1\mathrm{.}2,$ and a pressure angle of $20$ degrees, accommodating

a pinion tooth count ranging from $28$ to avoid interference. The module size varies from $4$ to $5$

mm$,$ with a minimal face width, and the gear is classified as a commercial level gear. Material

selection includes heat$-$treated, carburized, and case$-$hardened steel for the pinion $($Grade $2)$

and heat$-$treated Nitralloy $135$M Grade $2$ steel for the gear, with Brinell hardness numbers of

$350$ for the pinion and $375$ for the gear, ensuring robustness and durability in the final product.