The impact factor of moving trucks on bridges can be modeled by a lognormal distribution with a mean value and standard deviation of µ = 1.45 and σ = 0.2, respectively. The impact load would cause...

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The impact factor of moving trucks on bridges can be modeled by a lognormal distribution with a mean value and standard deviation of µ = 1.45 and σ = 0.2, respectively. The impact load would cause damage to the bridge, if it exceeds 1.75. Find the probability that a bridge will be damaged due to impact loading.

Answered Same DayDec 25, 2021

Answer To: The impact factor of moving trucks on bridges can be modeled by a lognormal distribution with a mean...

David answered on Dec 25 2021

122 Votes

if X ∼ Lognormal distribution with parameter µ and σ then Y = ln(X) ∼
Normal distribution with mean µ and standard deviation σ
Mean E(X) = e(µ+ σ
2
2 ) = 1.45
Variance V (X) = (eσ2 − 1)e(2µ+σ2) = 0.2
solving for µ and σ, we get:
σ2 = ln
(
1 + V (X)(E(X))2
)
= ln
(
1 + 0.21.452
)
≈ 0.0909
σ =
√
σ2 =
√
0.090868 =...

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The impact factor of moving trucks on bridges can be modeled by a lognormal distribution with a mean value and standard deviation of µ = 1.45 and σ = 0.2, respectively. The impact load would cause...

Answer To: The impact factor of moving trucks on bridges can be modeled by a lognormal distribution with a mean...

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