Calculation for drive system and rack/spur gear of a crane.

System needs to able to climb an incline of 12.457 beam tilt from horizontal

With a payload weight of 27,500 lbs. using a 2 hp motor, 1725 rpm, 60 hz

Gear reducer with 8.5 output rpm, ratio 204.75

Drive speed of 2.238 in/s

Tooth force of 5931.798 lbf

Rack – 20 PA, 2.5” face width, 1.5” thickness, 6’ length, diametral pitch 5 in, 1018 steel

Spur gear – 2.5” face width, diametral pitch 5 in, 20 PA, 30 teeth, 6.4 OD, 6 PD, 1144 steel

Will this system work?

If not, what material/gear reducer will work?

Also, what is the max angle a 10 ft-lb electrical brake can statically hold a 27,500 lbs payload?