The mathematical verification of the safety of structures can be done by determining the probability of failure or by using safety elements. Observed damages and collapses are usually assessed within the framework of expert reports, which seems reasonable due to the large number of unique structures in the construction industry. However, there should also be an examination of observed safety across all structures.
Therefore, in this book the collapse frequencies are determined for different types of structures, such as bridges, dams, tunnels, retaining structures and buildings. The collapse frequency, like the failure probability, belongs to stochasticity. Therefore, the observed mean collapse frequencies and the calculated mean failure probabilities are compared. This comparison shows that the collapse frequencies are usually lower than the calculated failure probabilities. In addition, core damage frequencies and probabilities are given to extend the comparison to another technical product.
Author(s): Dirk Proske
Publisher: Springer
Year: 2022
Language: English
Pages: 148
City: Cham
Acknowledgements
Contents
1 Introduction and Initial Position
1.1 Introduction
1.2 Aim of This Book
1.3 Comparability of Failure Probabilities and Collapse Frequencies
1.4 Theoretical Considerations
References
2 Preliminary Considerations
2.1 Introduction
2.2 Definition of Structures
2.3 Definition of Collapse
2.4 Calculation of Collapse Frequencies
2.5 Calculation of Failure Probabilities
References
3 Bridges
3.1 Introduction
3.2 Definition of Bridges
3.3 Stock of Bridges
3.4 Calculation of Collapse Frequencies
3.4.1 Introduction
3.4.2 Central Estimator
3.4.3 Measure of Deviation
3.4.4 Trend
3.5 Calculation of Failure Probabilities
3.6 Comparison
3.7 Causes of Collapse
3.8 Mortality and Casualty Figures
3.9 Summary
References
4 Dams
4.1 Introduction
4.2 Definition of Dams
4.3 Stock of Dams
4.4 Calculation of Collapse Frequencies
4.4.1 Introduction
4.4.2 Central Estimator
4.4.3 Measure of Deviation
4.4.4 Trend
4.5 Calculation of Failure Probabilities
4.6 Comparison
4.7 Causes of Collapse
4.8 Mortality and Casualty Figures
4.9 Summary
References
5 Tunnel
5.1 Introduction
5.2 Definition of Tunnels
5.3 Stock of Tunnels
5.4 Calculation of Collapse Frequencies
5.4.1 Introduction
5.4.2 Central Estimator
5.4.3 Measure of Deviation
5.4.4 Trend
5.5 Calculation of Failure Probabilities
5.6 Comparison
5.7 Causes of Collapse
5.8 Mortality and Casualty Figures
5.9 Summary
References
6 Retaining Structures
6.1 Introduction
6.2 Definition of Retaining Structures
6.3 Stock of Retaining Structures
6.4 Calculation of Collapse Frequencies
6.4.1 Introduction
6.4.2 Central Estimator
6.4.3 Measure of Deviation
6.4.4 Trend
6.5 Calculation of Failure Probabilities
6.6 Comparison
6.7 Causes of Collapse
6.8 Mortality and Casualty Figures
6.9 Summary
References
7 Buildings and Structures
7.1 Introduction
7.2 Definition of Buildings and Structures
7.3 Stock of Buildings and Structures
7.4 Calculation of Collapse Frequencies
7.4.1 Introduction
7.4.2 Central Estimator
7.4.3 Measure of Deviation
7.4.4 Trend
7.5 Calculation of Failure Probabilities
7.6 Comparison
7.7 Causes of Collapse
7.8 Mortality and Casualty Figures
7.9 Summary
References
8 Stadiums
8.1 Introduction
8.2 Definition of Stadiums
8.3 Stock of Stadiums
8.4 Calculation of Collapse Frequencies
8.4.1 Introduction
8.4.2 Central Estimator
8.4.3 Measure of Deviation
8.4.4 Trend
8.5 Calculation of Failure Probabilities
8.6 Comparison
8.7 Causes
8.8 Summary
References
9 Wind Turbines
9.1 Introduction
9.2 Definition of Wind Turbines
9.3 Stock of Wind Turbines
9.4 Calculation of Collapse Frequencies
9.4.1 Introduction
9.4.2 Central Estimator
9.4.3 Measure of Deviation
9.4.4 Trend
9.5 Calculation of Failure Probabilities
9.6 Comparison
9.7 Summary
References
10 Nuclear Power Plants
10.1 Introduction
10.2 Definitions
10.2.1 Definition of Nuclear Power Plants
10.2.2 Definition of Core Damage
10.3 Stock of Nuclear Power Plants
10.4 Calculation of Collapse Frequencies
10.4.1 Introduction
10.4.2 Central Estimator
10.4.3 Measure of Deviation
10.4.4 Trend
10.5 Calculation of Failure Probabilities
10.6 Comparison
10.7 Causes of Collapse
10.8 Mortality and Casualty Figures
10.9 Summary
References
11 Concluding Remarks
11.1 Results and Critical Evaluation
11.2 Added Value of Work
References
