What is the equation limit It Tmax 500 inlbs what is dSolut

What is the equation limit? It T_max = 500 in-lbs, what is d?

solution;

1) here for 1020 steel properties are

Sut=395 n/mm2

Syt=295 n/mm2

2) endurance limit is maximum reversible stress component can sustain without failure for infinite life and denoted by Se\'

here Se\'=.5 Sut=.5*395=197.5 n/mm2

where endurance strength of machined specimen is given by

Se=(surface fish factor)*(size factor)*(load factor)*(reliability factor)*Se\'

here surface finish factor=ka=4.51(sut)^-.265=.9248

size factor=1

load factor=.923 for sut<1520 n/mm2

reliability factor=1

hence endurance syttrength is =Se=.9248*.923*1*1*Se\'=168.58 N/mm2

3) for shaft diameter is given by ASME code as

shear max=(16*Tmax/pi*d^3)

shear max=.3 Syt or .18Sut whichever minimum=.18*Sut=.18*395=71.1 N/mm2

Tmax=5000lb in=56.49 n m

putting value we get

d=15.93 mm