Engineering Analysis and Design 2. A building is supported on four footings, A t

Question

Engineering Analysis and Design 2. A building is supported on four footings, A through D. You have performed a probabilistic settlement analysis and have determined the following E[SA] = 0.5 inches, E[SB] = 0.6 inches, E(SC)-0.7 inches, E[SD] = 0.8 inches, A= 0.1 inch OB-0.12 inch OC = 0.14 inch 0.16 inch Find the probability of settling more than 0.75 inches for each footing. Assuming the settlements are independent, find the probability that the maximum settlement exceeds 0.75 inches. Thomas F. Wolff. Ph D PE

Explanation / Answer

2a)

as

for A :

for B:

for C:

for D:

b)

probability that maximum setting exceeds 0.75 inches =1-P(all settings are below 0.75 inches)

=1-(1-0.0062)*(1-0.1056)*(1-0.3605)*(1-0.6227)=0.7855

for normal distribution z score =(X-)/

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