The second shaft on a parallel$-$shaft $25-$hp crane speed reducer contains a helical gear with a pitch diameter of $8\mathrm{.}08$ in$.$ Helical gears transmit components of force in the tangential$,$ radial, and axial directions. The components of the gear force transmitted to the second shatt are shown at point A $($in Ibf$).$ The reactions at C and D$,$ assuming simple supports, are also Shown $($in Ibf$).$ Determine the torque transmitted to the first shaft $($passes through points$$D$,$B$,$and$$C$)$

$($b$)$ What is the formula for the $($finite life$)$ completely reversed stress using the

$1-$ Soderberg criteria

$2-$ ASME elliptic criteria$08$

the $($finite life$)$ completely reversed stress using the