Question: Problem 3 : ( 2 0 ) Given: A highway bridge is designed for nominal 2 5 - ton truck capacity according to AASHTO standards.

Problem 3: (20)
Given: A highway bridge is designed for nominal 25-ton truck capacity according to AASHTO
standards. However, due to uncertainties in material strengths and design methods, the ultimate
capacity is considerably higher than design capacity. The applied truck loads are also highly
uncertain and variable. Consider a certain bridge type with the following strength and load
characteristics.
Strength, S: Normal distribution; mean =50-tons and standard deviation =5 tons
Load, L: Lognormal distribution; mean LN(Truck load)=2.5, standard deviation LN(Truck
oad
Problem 3 : ( 2 0 ) Given: A highway bridge is

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