BOOKS

TeReCo2

TeReCo1

Tragwerksbemessung

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

Second extended edition.

Pavel Marek, Jacques Brozzetti, Milan Guštar and Paul Tikalsky, editors.

Publisher: Institute of Theoretical and Applied Mechanics,Academy of Sciences of Czech Republic, Prosecká 76, 190 00 Prague 9, Czech Republic.

© 2003

ISBN 80-86246-19-1.

Description
The book is the second extended edition of the book resulting from the long term project TeReCo (Teaching Reliability Concepts using simulation techniques). The textbook was written by an international team of 66 authors from the U.S., Europe and Asia and edited by P. Marek, J. Brozzetti, M. Guštar and P. Tikalsky. The second edition of the book includes 10 new chapters, 60 new solved examples, upgraded software for Windows and full text of Proceeding of the International Colloquium SiBRAM’2002.

Have you ever wondered why structural reliability assessment methods developed during the pre-computer era are still being used extensively by designers and in codes? Or, why the high potential of computer technology is applied in Finite Element Analysis and in numerous other designers’ activities today, but the structural reliability process is still based on single safety factor or partial reliability factors approaches which from designers’ point of view are deterministic?

This book explains in detail that the advances in computers and information technologies have opened the door for the qualitatively higher and more efficient probabilistic methods in designers’ work. Using computer technology would allow to achieve a uniform probability of failure of individual components of structural systems and result in material savings as well as in a more intensive evaluation of actual structural reliability (i.e., safety, serviceability and durability). A transition to the probabilistic method was actually recommended and outlined by the ASCE Ad Hoc Committee in 1987 (see ASCE Journal of Structural Engineering, Vol. 112, No. 12, December, 1987, pp. 2646 to 2664).

The main contribution of this book is assisting designers and others involved in re-thinking the structural reliability assessment procedures in their transition from the current deterministic to the probabilistic “way of thinking”. To achieve this goal the book explains in plain language “the rules of the game” of a probabilistic concept. The reader is introduced step by step to the superiority and advantages of probabilistic assessment using the simulation technique and the direct Monte Carlo method, friendly software, histograms representing variations of material properties, loads, etc. More than 200 solved examples are presented and the reader will find the attached software to be friendly tool.

The book has been written for designers, students, lecturers and researchers. For more details regarding SBRA method visit www.sbra-anthill.com.

September, 2004.

Distribution
The book is distributed worldwide by its publisher and can be ordered at fikackova@itam.cas.cz,
Ms. M. Fikackova, ITAM CAS, Prosecká 76, 190 00 Prague 9, Czech Republic .

The price of the book is at present, due to the support received from the Academy of Sciences of Czech Republic, 50,- USD. For students discount contact fikackova@itam.cas.cz. Please send the payment for the book(s) and mailing costs (7,- USD / 1 book) to the Bank account shown below and inform Ms. M. Fikackova at fikackova@itam.cas.cz about the payment . The book(s) will be air-mailed to you as soon as the payment will be received.

Bank Account
Bank Account No. 17430 - 031 / 0710
Variable Symbol: 220
Name of the Bank: CNB
Address of the Bank: Na Príkope 28, Praha 1, Czech Republic
SWIFT CODE: C N B A CZ PP


In North America the book can be ordered at
The University of Arizona - BookStores
attn. Ms. Ann L. Wolnick, Public Relations
1209 E.University Blvd.
P.O.Box 210019
Tucson, AZ 85721-0019
U.S.A.
Ph# (520) 621-8475
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Content
  1. INTRODUCTION (2nd edition)
  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
    17. Analysis of Principal Stresses in a Steel Beam
    18. Sensitivity Analysis of Principal Stresses in a Steel Beam
    19. Analysis of Principal Stresses and max. Shear Stress in a Structural Component
    20. Single Component Load Effect Combination, Dead and Live Loads
    21. Analysis of Maximum Normal Stress in Simply Supported Beam
    22. Single Component Load Effect Combinations - Parametric Study
    23. Load Effect Combination: Four-Component Variable
    24. Two Component Wind Rosette Application
    25. Dynamic Response of Roadway Composite Bridges
    26. Horizontal and Vertical Loads of Bells by Ringing (2nd edition)
    27. Load Effect Combination: Steel Bar Exposed to All-Direction Wind (2nd edition)
  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
    15. Resistance of a Built-up Bar (2nd edition)
    16. Masonry Column Strengthening (2nd edition)
    17. Reliability Assessment of a Timber-Concrete Composite Beam
    18. Application of Database of Geometrical and Material Properties for Dimensioning of Steel Structures
  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
    23. Analysis of a Steel Beam Exposed to Multi-Component Load Effects
    24. Stress Distribution and Reliability Verification of Composite Cross Section of Roadway Bridges
    25. Optimization Study of Beam with Sudden Profile Change
    26. Failure Safety Check of the Folding Staircase
  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
    20. Application of a Two-Component Wind Rosette
    21. Reliability of a Steel Beam
    22. Safety of a Welded Lap Joint Subjected to Tension
    23. Safety of a Truss-Girder Bar Subjected to Tension and Compression
    24. Assessment of a Steel Arc
    25. Safety of a Steel Bar
    26. Assessment of a Steel Frame Exposed to N and My
  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
    11. Buckling of a Steel Column
    12. Two Component Load Effect Combination
    13. Safety of Steel Column Subjected to Three Component Load Effect Combination
    14. Reliability of a Steel Column Exposed to Horizontal and Vertical Forces
    15. Bar Exposed to Tension and Compression
  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
    11. Timber Column Reliability Assessment
    12. Reliability Assessment of a Timber Element with Influence of Duration of Load Combination
    13. Durability of a Timber Bar exposed to Weathering
    14. Durability of a Steel Beam Affected by Corrosion
    15. Reliability Assessment of Composite Roadway Bridges
  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
    12. Beam Deflection Analysis
    13. Assessment of a Steel Beam Using Tolerable Permanent Deflection as a Limit Value
    14. Time - Dependent Timber Beam Deflection
  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
    15. Bouncing and Trajectory of Dropped Ball
    16. Serviceability of Cable Truss
    17. Probability of Failure of Steel Component Exposed to Fire
    18. Safety of an Elastic Chord
  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
    16. Reliability of Cantilever Beam Acording to Eurocode 3
    17. Dimensioning of a Steel Bar According to LRFD, EC3 and SBRA
    18. Comparison of the Fatigue Life Prediction on the Welded Part According SBRA Method and Eurocode 3
    19. Steel Beam With an Overhang: Stability of Position
    20. Steel Beam With an Overhang: Assessment of Shear Capacity
    21. Steel Beam With an Overhang: Bending Safety Assessment
    22. Steel Beam With an Overhang: Serviceability Assessment
  13. SELECTED TOPICS APPLICATION OF BAYESIAN APPROACH AND MORE
  14. COMMENTS ON THE BACKGROUND OF SBRA METHOD
  15. RELIABILITY ASSESSMENT USING SIMULATION SAMPLES GENERATED FROM NONPARAMETRIC DENSITY ESTIMATES
  16. LOAD EFFECT COMBINATION ANALYSIS: ARBITRARY POINT-IN-TIME AND MAXIMUM LOAD EFFECT CONCEPTS
  17. DURABILITY AND PERFORMANCE BASED DESIGN USING SBRA
  18. APPLICATION OF THE SBRA METOD IN CASE OF THE DYNAMIC RESPONSE OF A STRUCTURE
  19. ASSESSMENT OF SEMI-RIGID JOINTS OF A STEEL FRAME
  20. DIRECT MONTE CARLO METHOD VS. IMPROVED METHODS CONSIDERING APPLICATIONS IN DESIGNERS EVERY DAY WORK
  21. ASSESSMENT OF A STEEL FRAME, A COMPARATIVE STUDY
  22. EXTENSION OF SBRA METHOD FROM COMPONENTS TO SYSTEMS. PILOT STUDIES
  23. STARTING A DATA-BASE OF STEEL PROPERTIES APPLICABLE IN SBRA BASED DESIGN

  1. HISTOGRAMS
  2. MANUALS
  3. METRIC CONVERSION TABLE