For the following performance function, determine the safety index () using (a) the FORM, and (b) the ASM method: Z = X1 X2

For the following performance function, determine the safety index (β) using

(a) the FORM, and

(b) the ASM method:

Z = X1 − X2 − X3 The noncorrelated random variables are assumed to have the following probabilistic characteristics:

Random Variable Mean Value COV Distribution Type X1 10 0.25 Normal X2 5 0.05 Normal X3 3 0.20 Type I, largest