A grooved round bar is made of SAE 4130 WQT 1000 steel and its dimensions are given as d = 24 mm, D = 36 mm, L = 100 mm, and r = 4.8 mm. The right end is subject to a vertical force that varies from 1,200 N to 2,300 N. Use the Goodman method to determine the resulting design factor (factor of safety) for a reliability of 99%. Assume polished surface condition.