For the following performance function, determine the safety index (β) using (a) the FORM, and (b) the ASM method: The noncorrelated random variables are assumed to have the following probabilistic...

For the following performance function, determine the safety index (β) using (a) the FORM, and (b) the ASM method:

The noncorrelated random variables are assumed to have the following probabilistic characteristics:

Answered Same DayDec 25, 2021

Answer To: For the following performance function, determine the safety index (β) using (a) the FORM, and...

Robert answered on Dec 25 2021

129 Votes

E(Z)=10-5-3=2
Var(Z)=0.25+0.05+0.20=0.5
We know linear combination of normal variables is also a normal variable.
So,Z~Normal(2,0.5)
Now,
By uniqueness of MGF,we can say that Z~Normal(2,0.5)

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For the following performance function, determine the safety index (β) using (a) the FORM, and (b) the ASM method: The noncorrelated random variables are assumed to have the following probabilistic...

Answer To: For the following performance function, determine the safety index (β) using (a) the FORM, and...

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