A bar is subjected to axial loading. The normal stress is: Sx.
The failure mode of the bar will be static failure. The yield strength Sy, axial loading F, and diameter d all follow a normal distribution. The parameters of the normal distribution are listed in the following table:
Yield strength Sx (psi)
Axial loading F (lb)
Diameter d (in)
Sx ~ N(61000, 5200)
F ~ N(60000, 15000)
d ~ N(1.5, 0.021)
(a) Build and explain two different forms of the limit state functions.
(b) Use the FOSM method to determine the reliability based on the two limit state functions.