Question: For the following performance function, determine the safety index () using (a) the FORM and (b) the ASM method: The uncorrelated random variables are assumed

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

(a) the FORM and

(b) the ASM method:

The uncorrelated 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 Normal

Z = X - X-X3

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