The paper deals with time dependent probability analysis of the failure of a steel bridge. The theoretical model of fatigue crack propagation is based on linear fracture mechanics. The statistical Monte Carlo method is applied to the analysis of failure probability. The results of probability analysis are elaborated applying the calibration curves processed, based on experimental research. Some aspects of the random sampling methods are discussed.

1.
T.
Guo
,
D.M.
Frangopol
and
Y.
Chen
,
Computers and Structures
112-113
,
245
257
(
2012
).
2.
A.
Saviotti
,
Modern Applied Science
8
,
167
181
(
2014
).
3.
S.
Seitl
,
P.
Miarka
,
L.
Malíková
,
M.
Krejsa
,
Key Engineering Materials
754
,
353
356
(
2017
).
4.
J.
Kala
,
Z.
Kala
, “Large-Deflection-Theory Analysis of the Effect of Web Initial Curvature on the Ultimate Strength of Steel Plate Girder” in
Numerical Analysis and Applied Mathematics -2011
, edited by
E.
Simos
, et al.
,
AIP Conference Proceedings
1389
,
American Institute of Physics
,
Melville, NY
,
2011
, pp.
1861
1864
.
5.
J.
Melcher
,
Z.
Kala
,
M.
Holický
,
M.
Fajkus
and
L.
Rozlívka
,
Journal of Constructional Steel Research
60
(
3-5
),
795
808
, (
2004
).
6.
Z.
Kala
,
J.
Kala
, “Sensitivity Analysis of Stability Problems of Steel Structures using Shell Finite Elements and Nonlinear Computation Methods” in
Numerical Analysis and Applied Mathematics -2011
, edited by
E.
Simos
, et al.
,
AIP Conference Proceedings
1389
,
American Institute of Physics
,
Melville, NY
,
2011
, pp.
1865
1868
.
7.
Z.
Kala
,
Archives of Civil and Mechanical Engineering
15
,
1098
1107
(
2015
).
8.
Z.
Kala
,
Journal of Civil Engineering and Management
22
,
417
424
(
2016
).
9.
Z.
Kala
,
J.
Valeš
and
J.
Jönsson
,
Journal of Civil Engineering and Management
23
,
902
913
(
2017
).
10.
Z.
Kala
,
Journal of Civil Engineering and Management
21
,
902
911
(
2015
).
11.
P.
Janas
,
M.
Krejsa
,
J.
Šejnoha
,
V.
Krejsa
,
Structural Engineering and Mechanics
64
,
413
426
(
2017
).
12.
M.
Krejsa
,
J.
Kralik
,
Journal of Multiscale Modeling
6
, Article Number: 1550006 (
2015
).
13.
Z.
Kala
and
J.
Valeš
,
Engineering Structures
134
,
37
47
(
2017
).
14.
Z.
Kala
and
J.
Valeš
,
Journal of Constructional Steel Research
139
,
110
122
(
2017
).
15.
Z.
Kala
and
J.
Valeš
,
Archives of Civil and Mechanical Engineering
18
,
1207
12018
(
2018
).
16.
Z.
Kala
,
Journal of Civil Engineering and Management
14
,
67
72
(
2008
).
17.
Z.
Kala
,
A.
Omishore
,
S.
Seitl
,
M.
Krejsa
,
J.
Kala
,
International Journal of Mechanics
11
,
166
175
(
2017
).
18.
M.
Krejsa
,
L.
Koubova
,
J.
Flodr
,
J.
Protivinsky
,
Q. T.
Nguyen
,
Frattura Ed Integrita Strutturale
11
,
143
159
(
2017
).
19.
Z.
Kala
, “Reliability of Steel Members Designed in Accordance with the Code Design Concepts” in
Numerical Analysis and Applied Mathematics -2010
, edited by E. Simos et al.,
AIP Conference Proceedings
1281
,
American Institute of Physics
,
Melville, NY
,
2010
, pp.
579
582
.
20.
Z.
Kala
,
International Journal of Mechanics
12
,
121
130
(
2018
).
21.
J.
Antucheviciene
,
Z.
Kala
,
M.
Marzouk
,
E.R.
Vaidogas
,
Mathematical Problems in Engineering
2015
, ID 362579, p.
16
(
2015
)
22.
P.C.
Paris
,
F.
Erdogan
,
Journal of Basic Engineering
85
,
528
533
(
1963
).
23.
D.
Broek
,
Elementary Engineering Fracture Mechanics
(
Dordrecht
:
Martinus Nijhoff
,
1986
).
This content is only available via PDF.
You do not currently have access to this content.