A gear drive is required to transmit a maximum power of $22\mathrm{.}5$ kW $.$ The velocity ratio is $1$:$2$ and $rp.m.$ of the pinion is $200.$ The approximate centre distance between the shafts may be taken as $600$ mm $.$ The teeth has $20$ stub involute profiles. The static stress for the gear material $($which is cast iron$)$ may be taken as $60$ MPa and face width as $10$ times the module. Find the module, face width and number of teeth on each gear.

Check the design for dynamic and wear loads. The deformation or dynamic factor in the Buckingham equation may be taken as $80$ and the material combination factor for the wear as $1\mathrm{.}4.$

Solution. Given : $P=22\mathrm{.}5kW=22500W$;$VR.=D_G{D}_P=2$;$N_P=200$ r$.$p$.$m$.$ ;$L=600mm$;

${}_{OP}={}_{OG}=60$MPa$=60\frac{N}{m}{m}^2$;$b=10m$;$C=80$;$K=1\mathrm{.}4$ Module

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