Table 1 Variables considered in the illustrative example
Variable | Unit | Distribution | Mean | Standard deviation | Equation(s) | Reference |
|---|---|---|---|---|---|---|
\(x\) | \([mm]\) | Normal | 50.0 | 6.0 | (1, 5, 10, 15) | [65] |
\({\delta }_{{t}_{i}}\) | \([-]\) | Lognormal | 1.0 | 0.05 | (1) | [51] |
\({k}_{e}\) | \([-]\) | Gamma | 0.676 | 0.114 | (1) | [51] |
\({k}_{c}\) | \([-]\) | Beta | 0.8 | 0.1 | (1) | [51] |
\({k}_{t}\) | \([-]\) | Normal | 0.832 | 0.024 | (1) | [51] |
\({t}_{0}\) | \([days]\) | Deterministic | 28 | - | (1) | [51] |
\({n}_{cl}\) | \([-]\) | Beta | 0.362 | 0.245 | (1) | [51] |
\({C}_{cr}\) | \([\% wt br]\) | Normal | 0.9 | 0.15 | (1, 9) | [51] |
\({A}_{cs}\)a | \([\% wt br]\) | Normal | 2.565 | 0.356 | - | [51] |
\({\varepsilon }_{cs}\)a | \([\% wt br]\) | Normal | 0 | 0.405 | - | [51] |
\({D}_{c,ref}\) | \([\frac{{mm}^{2}}{year}]\) | Normal | 473 | 47.3 | (2) | [64] |
\({\delta }_{{i}_{corr}}\) | \([-]\) | Weibull | 1.355 | 0.775 | (5) | [24] |
\(\frac{w}{c}\) | \([-]\) | Lognormal | 0.5 | 0.05 | (5) | |
\({d}_{r,0}\) | \([mm]\) | Normal | 25.4 | 1.016 | (10, 15–17, 19–22, 24, 26) | |
\({f}_{ct}\) | \([MPa]\) | Normal | \(0.69\sqrt{{E(f}_{c})}\)c | \(0.138\sqrt{{E(f}_{c})}\)c | (10) | [52] |
\({i}_{corr-20}\) | [\(\frac{\mu A}{{cm}^{2}}\)] | Lognormal | 2.586 | 1.733 | (12, 13) | [6] |
\({i}_{corr(exp)}\) | [\(\frac{\mu A}{{cm}^{2}}\)] | Deterministic | 100 | - | (13) | [6] |
\({\delta }_{{r}_{crack}}\) | \([-]\) | Normal | 1.04 | 0.0936 | (12) | [6] |
\({f}_{t}\) | \([MPa]\) | Normal | \(0.53\sqrt{{E(f}_{c})}\)c | \(0.069\sqrt{{E(f}_{c})}\)c | (15) | [6] |
\(R\)b | \([-]\) | Uniform | 5.0 | ~ 0.577 | (25) | [61] |
\({f}_{y,0}\) | \([MPa]\) | Lognormal | 490 | 49 | (27) | [44] |
\({\delta }_{{Q}_{cr}}\) | \([-]\) | Lognormal | 0.005 | 0.0006 | (27) | [65] |
\({\delta }_{{M}_{R}}\) | \([-]\) | Normal | 1.0 | 0.1 | (29) | [65] |
\(n\) | \([-]\) | Deterministic | 9 | - | (29) | [44] |
\({K}_{{M}_{R}}\) | \([-]\) | Normal | 0.6 | 0.03 | (29) | [65] |
\(d\) | \([mm]\) | Normal | 710 | 14.2 | (29) | [44] |
\(b\) | \([mm]\) | Normal | 350 | 7 | (29) | [44] |
\({f}_{c}\) | \([MPa]\) | Lognormal | 26.2 | 4.716 | (29) | [44] |
\(G\) | \([\frac{kN}{m}]\) | Normal | 21 | 2.1 | (30) | [44] |
\({Q}_{S}\) | \([\frac{kN}{m}]\) | Gamma | 10.5 | 6.3 | (30) | [44] |
\({Q}_{E}\) | \([\frac{kN}{m}]\) | Gamma | 6.65 | 4.389 | (30) | [44] |
\(L\) | \([mm]\) | Deterministic | 10,000 | - | (30) | [44] |