The machined shaft shown in figure supports two gears $($A & C$).$ Gear A receives power from another gear

with the transmitted force $P_A=2500N$ applied at the $20$ pressure angle as shown. The power is

transmitted through the shaft and delivered through gear $C$ through a transmitted force $P_C$ at the

pressure angle $20$ shown. The yield strength for the shaft, which is made of cold$-$drawn steel, is $490$

MPa and the ultimate strength is $580$MPa. The shaft is solid and of constant diameter. The safety factor

is $3\mathrm{.}0.$ Assume the DET throughout. Also, for fatigue loading conditions assume completely reversed

bending with a bending moment amplitude equal to that used for static conditions. The alternating

torque is zero. Let $K_f=2\mathrm{.}0$ and $K_{fs}=1\mathrm{.}75.$