A gear reduction unit uses the countershaft shown in the fig

A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the force F_A applied at the 20 degree pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force F_B = 800 lbf at the pressure angle shown. The peak moment is 7, 200 lbf in at point C. Determine the minimum Goodman factor of safety for fatigue based on infinite life. The shaft rotates at a constant speed, has a constant diameter, and is made from cold-drawn AISI 1030 steel.

Solution

From the above given data goodman factor of safety can be calculated as follows

Goodmanfactor of safety= 2