Table 5: Statistical parameters of random variables for the illustrative example.

ParametersMaterialsVariablesMean ( 𝜇 )C.O.V. ( 1 ) ( 𝜎 / 𝜇 )DistributionSources

Corrosion deterioration rateCarbon steelA70.6  𝜇 m0.66LN ( 2 ) [5, 6]
B0.7890.49
𝜌 𝐴 𝐵 −0.31
Weathering steelA40.2  𝜇 m0.22LN
B0.5570.10
𝜌 𝐴 𝐵 −0.45
Corrosion Initiation 𝑇 C I 15 yr0.30LN [7]
Repaint durationT REP20 yr 0.25
Initial crack dimensionStructural steel 𝑎 0 0.762 mm0.5LN [14]
Crack growth constantC 1 . 2 6 × 1 0 1 3 0.63
Crack growth exponentm3Constant [15]
Critical crack dimension 𝑎 𝑐 0.0254 m
Fracture toughness 𝐾 I C 43.97 MPa m0.50.19TN ( 3 ) [10]
Compressive strengthConcrete 𝑓 𝑐 21 MPa ( 4 ) 0.19LN [9]
Yield stressSteel 𝐹 𝑦 248 MPa0.10
Modulus of elasticityConcrete 𝐸 𝑐 30,000 MPa0.20LN [16]
Steel 𝐸 𝑠 210,000 MPa0.06
Deck slab thicknessConcrete 𝑡 𝑐 191 mm0.20N ( 4 ) [14]

( 1 ) C.O.V.: coefficient of variation.
( 2 ) LN: lognormal distribution.
( 3 ) TN: truncated normal distribution.
( 4 ) N: normal distribution.