BOOKS

TeReCo2

TeReCo1

Tragwerksbemessung

SBRAfse
Probabilistic Assessment of Structures using Monte Carlo Simulation.
Background, Exercises and Software.

Pavel Marek, Jacques Brozzetti and Milan Guštar, editors.

Publisher: ITAM Academy of Sciences of Czech Republic, Prosecká 76, 190 00 Prague 9, Czech Republic.

© 2001

ISBN 80-86246-08-6.

Distribution
The book is out of print. The second extended edition of the book is available and can be ordered at fikackova@itam.cas.cz.

Description
The long term project TeReCo (Teaching Reliability Concepts using simulation techniques) had resulted in the work of 33 authors from nine countries being published in this textbook. The book acquaints the readers with the basis of a fully probabilistic structural reliability assessment concept, using as a tool the transparent SBRA method (Simulation-Based Reliability Assessment method documented in textbook Simulation-based Reliability Assessment for Structural Engineers and applied in more than hundred papers). The concept allows for bypassing the „design-point” approach as well as the load and resistance factors, and leads to the reliability check expressed by Pf < Pd comparing the calculated probability of failure Pf with the target design probability Pd given in codes. The application of SBRA is explained in the book using 150 solved examples. On the attached CD-ROM, the reader will find the input files and computational tools enabling the duplication of the examples on a PC, the pilot data-base of mechanical properties (expressed by histograms) of selected structural steel grades, selected histograms (loads, imperfections, and more), manuals for computer programs and 55 selected presentations of examples (Microsoft PowerPoint). The book should serve as an aid in teaching undergraduate and graduate students and in introducing the designers to the strategy of the fully probabilistic reliability assessment of elements, components, members and simple systems using direct Monte Carlo simulation and modern PC computers.



Content
  1. INTRODUCTION
  2. MONTE CARLO SIMULATION
    1. Basic Terms
    2. Random Variables
    3. The Monte Carlo Method
    4. The Precision of Simulation Results
    5. The “Tail Problem” in Simulation
    6. Random Number Generators
    7. Programs Used for SBRA
    8. Examples
  3. STRUCTURAL RELIABILITY BASED ON LIMIT STATES APPROACH
    1. Reliability Assessment: "Rules of the Game"
    2. Variables and Reliability Function
    3. Loading
    4. Transformation Models
    5. Response of the Structure to the Loading
    6. Limiting Values
    7. Reliability Assessment
    8. Carrying Capacity (Safety) Assessment
    9. Serviceability Assessment
    10. Special Situations

  1. LOADING AND LOADING EFFECTS
    1. Single Component Load Effect Combination
    2. Dead Load Effects for Single Storey Building
    3. Analysis of Principal Stresses at a Point in a Beam
    4. Load Effect Combination
    5. Single Component Load Effect Combination
    6. Single Component Load Effect Combination, Dead and Live Loads
    7. Dead Load, Wind Load and Snow Load Combination Effects for Single Storey Building
    8. Load Effects on a Truss-Girder
    9. Dependend Load Effects
    10. Load Effect Combination: Three-Component Variable
    11. Analysis of Principal Stresses and Max. Shear Stress in a Structural Component
    12. Analysis of Maximum Normal Stress in Simply Supported Beam
    13. Single Component Load Effect Combination – Wind and Snow
    14. Analysis of the Maximum Shear Stress at a Point in a Beam
    15. Two Component Load Effect Combination
    16. Three Component Load Effect Combination
  2. RESISTANCE OF STRUCTURAL ELEMENTS AND COMPONENTS
    1. Resistance of a Built-up Bar
    2. Ultimate Bearing Capacity of Reinforced Concrete Cross-Section Subjected to Bending and Compresion
    3. Resistance of a Short Composite Column
    4. Variability of the Strength of a Steel-Concrete Composite Beam
    5. Post Buckling Resistance of a Compressed Rectangular Plate
    6. Tension Resistance of a Bolted Beam to Beam Connection
    7. Shear Resistance of a Bolted Beam to Beam Connection
    8. Torsional Resistance of a Channel Section
    9. Safety of a Cross-section of a Column in a Steel Frame
    10. Determination of the Lateral Torsional Buckling Resistance of a Beam
    11. Determination of the Buckling Resistance of a Column
    12. Application of SBRA Concept for Prediction of Ultimate Elongation of a Reinforced Concrete Element
    13. Elastic Lateral-torsional Buckling Moment of a Rectangular Solid Beam
    14. Buckling Resistance of a Square Hollow Column
  3. SAFETY OF STRUCTURAL ELEMENTS
    1. Use of Probabilistic Failure Assessment Diagram for a Concrete Pipe under Internal Pressure
    2. Reliability of a Nailed Timber-to-Timber Joint
    3. Safety of Dowelled Steel-to-Timber Joint
    4. Stability of Position of a Continuous Girder Exposed to Several Variable Loads and to a Moving Variable Load
    5. Brittle Fracture of a Pipe
    6. Probability of the Brittle Fracture of a Concrete Wall in Tension
    7. Safety of a Concrete Joint Exposed to Compression
    8. Safety of a Concrete Joint Exposed to Shear
    9. Safety of Carpentry Tendon Joint
    10. Safety of a Butt Weld under Static Load
    11. Safety of a Reinforced Concrete Slab
    12. Design of Reinforced Concrete Cross-Section Subjected to Bending
    13. Reliability of a Reinforced Concrete Beam in Shear
    14. Safety of a Bolted Connection under Tension
    15. Selecting an Amount of Reinforcing Steel at the Critical Cross-section of Short Column Design for Bending and Axial Force
    16. Cracking Reliability of a Reinforced Concrete Element in Tension
    17. Basic Bond Anchorage Length
    18. Anchors to Concrete under Tension
    19. Safety of a Fillet Weld under Static Load
    20. Reliability of a Bracket-to-Column Bolted Connection
    21. Determination of the Safety of a Rectangular Hollow Section
    22. Analysis of a Steel Beam Exposed to Multi-Component Load Effects
  4. SAFETY OF STRUCTURAL COMPONENTS - 1st Order Theory Problems
    1. Reliability of a Steel Beam
    2. Assessment of a Cantilever Beam
    3. Assessment of a Simple Steel Beam with Dynamic Loading
    4. Application of a Two-Component Wind Rosette
    5. Stresses in a Bridge Subjected to Impact by Flood-Drifted Articles
    6. Dimensioning of a Steel Bar
    7. Assessment of a Steel Frame Exposed to N and My
    8. Probability of Failure of a Steel-Concrete Composite Beam
    9. Safety of a Steel Bar
    10. Dimensioning of a Cantilever
    11. Assessment of Tension Member in Timber Truss
    12. Safety of a Continuous Beam
    13. Reliability of a Steel Plate
    14. Reliability of a Steel Pipe
    15. Safety of a Welded Lap Joint Subjected to Tension
    16. Safety of a Truss-Girder Bar Subjected to Tension
    17. Determination of the Safety of a Tee Joint of a Welded I Section
    18. Safety of a Simply Supported Beam
    19. Safety of a Column in a Frame
  5. SAFETY OF STRUCTURAL COMPONENTS - 2nd Order Theory Problems
    1. Stochastic Deflection of a Reinforced Concrete Strip Foundation
    2. Bar Exposed to Tension and Compression
    3. Safety of a Steel Frame
    4. Buckling of a Steel Column
    5. Stability of a Timber Column
    6. Reliability of a Slender Bar Subjected to Bending and Axial ForcE
    7. Deflection of a steel Beam with Regard to Second Order Effect
    8. Probability of Failure of a Solid Timber Column
    9. Assessment of a Pin Supported Steel Bar Subjected to Compression and Tension
    10. Safety of a Column in a Frame
  6. RELIABILITY OF RETAINING WALLS AND OF SLOPES
    1. Safety of Cantilever Retaining Wall Aagainst Overturning and Sliding
    2. Columnn Footing
    3. Reliability of a Cantilever Retaining Wall Considered as a System
    4. Probability of Overturning for a Cantilever Retaining Wall
    5. Probability of Horizontal Sliding for a Cantilever Retaining Wall
    6. Probability of a Bearing Capacity Failure for the Foundation of a Cantilever Retaining Wall
    7. Stability of Slope Excavated in a Clay Layer
    8. Variability of Load Capacity of a Ground Anchor
    9. Reliability of a Gravity Retaining Wall
    10. Reliability of a Concrete Friction Pile
  7. PRESTRESSED CONCRETE
    1. Safety of a Prestressed Concrete Beam
    2. Variability of Prestress Loss Due to Friction between Tendons and Surrounding Concrete
    3. Variability of Prestress Loss Due to Instantaneous Deformation of a Post-Tensioned (Draped) Concrete Element
    4. Variability of Prestress Loss Due to Anchorage Draw-in During Post-Tensioning of a Concrete Element
    5. Variability of Total Immediate Prestress Losses of a Pre-Tensioned Concrete Element
    6. Variability of Total Immediate Prestress Losses of a Post-Tensioned Concrete Element
    7. Compensation of a Part of Immediate Losses in the Case of Pre-Tensioning
    8. Compensation of a Part of Immediate Losses in the Case of Post-Tensioning
    9. Variability of Time-Dependent Prestress Loss Due to Creep of Concrete
    10. Variability of Time-Dependent Prestress Loss Due to Shrinkage of Concrete
    11. Variability of Time-Dependent Prestress Loss Due to Relaxation of Steel
    12. Variability of Total Prestress Loss in a Post-Tensioned Concrete Element
    13. Variability of Prestress Loss Due to Instantaneous Deformation of a Pre-Tensioned Concrete Element
    14. Probability of Cracking for a Prestressed Concrete Beam
    15. Design of End-Zone Reinforcement for a Post-Tensioned Concrete Element
  8. ACCUMULATION OF DAMAGE
    1. Remaining Fatigue Life
    2. Safety Assessment of a Timber Beam - Application of the Madison Curve
    3. Application of SBRA Concept for Shrinkage Strain Prediction of a Concrete Beam
    4. Durability of a Concrete Beam
    5. Durability of a Steel Component
    6. Fatigue Life of a Tubular Post Exposed to Wind
    7. High Cycle Fatigue
    8. Probabilistic Verification of Fatigue Using Equivalent Stress for Concrete
    9. Probabilistic Verification of Fatigue Using Damage Equivalent Stress Range for Prestressing Steel
    10. Influence of Corrosion on the Durability of a Cantilever
  9. SERVICEABILITY
    1. Beam Deflection Analysis
    2. Admissible Vibrations of a Machine on a Block-Foundation
    3. Assessment of a Steel Beam Using Tolerable Permanent Deflection as a Limit Value
    4. Serviceability of Wood Floor
    5. Serviceability of a TV Tower Loaded by Wind
    6. Plastic Deformation of Vertical Bar in Tension
    7. Rotation of a Channel Section in Torsion
    8. Serviceability of a Dowelled Steel-to-Timber Joint
    9. Deflection of a Wooden Beam
    10. Inclination of a Cilindrical Antenna Due to Transverse Vibrations in Wind
    11. Limitation of a Crack to Acceptable Width
  10. SPECIAL SITUATIONS
    1. Safety of an Elastic Cord
    2. Analysis of a Steel Column in Fire Situation
    3. Fire Resistances of Concrete Protected Steel Columns: Box Protected and Massive-Protected Columns
    4. Pressure on the Wall of an Elevated Water Tank Due to Earthquake
    5. Analysis of a Steel Beam in a Fire Situation
    6. Reliability of a Spatial Truss
    7. Formation of a Plastic Hinge in a Frame During an Earthquake
    8. Frequency (Annual Probability) of Structural Failure Due to Extreme Wind Effects Described by a Hazard Function
    9. Distribution of Parameters of a Blast Load Generated by an Accidental Vapour Cloud Explosion
    10. Operating - Characteristic Function for the Probability of Acceptance of Products
    11. Influence of Human Errors on the Reliability of Single-Column Footing
    12. Effect of Load Variation on the Fundamental Period and Base Shear of an Eight-story Building
    13. Distribution of Floor Area Loss Due to Fire in a Building
    14. Acceleration of a Roof Beam Due to Sinusoidal Ground Motion
  11. FROM COMPONENTS TO SYSTEMS
    1. Assessment of Coupled Steel Beams
    2. Determination of the Safety of a Bolted Lap Joint
    3. Determination of the Safety of a Bolted Web Plate Joint
    4. Safety of a Bolted Splice
    5. Assessment of Coupled Steel Beams
    6. Assessment of Coupled Steel Beams Using Tolerable Permanent Deflection as a Limit Value(2nd edition)
  12. SBRA VS. EUROCODES, DIN, LRFD ETC. AND PARAMETRIC STUDIES
    1. Study on Load Combination Rules
    2. Safety of a Rectangular Hollow Section Exposed to Multicomponent Loads According to Eurocode 3
    3. Classification of a Welded I-section According to Eurocode 3
    4. Classification of a Square Hollow Section According to Urocode 3
    5. Assessment of the Buckling Safety of a Hot Rolled Beam-Column According to Eurocode 3
    6. Effective cross-section of a square hollow section according to Eurocode 3
    7. Determination of the Reference Level Related to the Definition of Safety
    8. Buckling Resistance of a Column According to Eurocode 3
    9. Classification of an I-section According to Eurocode 3
    10. Buckling Safety of a Rectangular Hollow Beam-column According to Eurocode 3
    11. Lateral-Torsional Buckling of a Hot Rolled Beam under Biaxial Bending According to Eurocode 3
    12. Coupled Buckling of a Welded I-section Beam-Column According to Eurocode 3
    13. Tension Resistance of an Angle Connected by One Leg According to Eurocode 3
    14. Determination of the Safety of a Welded Connection under Tension According to Eurocode 3
    15. Determination of the Safety of the Tee Joint of a Welded I-section According to Eurocode 3
  13. SELECTED TOPICS APPLICATION OF BAYESIAN APPROACH AND MORE

  1. HISTOGRAMS
  2. MANUALS
  3. METRIC CONVERSION TABLE