Refer to Figure 8 which shows the stress concentration facto

Refer to Figure 8 which shows the stress concentration factors for a stepped shaft. A shaft is turned on a lathe. The cutting tool of the lathe has a radius of 1mm. The shaft has a large diameter of 20 mm, stepping down to a diameter of 10 mm. What is the geometric stress concentration factor, K_t for the step on the shaft? 1.65 1.97 1.42 1.30

Solution

Given values:

Radius (r) of cuting tool = 1 mm

Shaft diameter (D) = 20mm

shaft step diameter (d) = 10mm

Getting the relative values as

1. D / d = 20 / 10 = 2

2. r / d = 1 / 10 = 0.1

The value of K_t will be predicted from the plot as the values of torque & forces are not given.

The nearest value of K_t is 1.94.