This book is focused on the theoretical and practical design of
reinforced concrete beams, columns and frame structures. It is
based on an analytical approach of designing normal reinforced
concrete structural elements that are compatible with most
international design rules, including for instance the European
design rules - Eurocode 2 - for reinforced concrete
structures. The book tries to distinguish between what belongs to
the structural design philosophy of such structural elements
(related to strength of materials arguments) and what belongs to
the design rule aspects associated with specific characteristic
data (for the material or loading parameters). A previous book,
entitled Reinforced Concrete Beams, Columns and Frames -
Mechanics and Design, deals with the fundamental aspects of the
mechanics and design of reinforced concrete in general, both
related to the Serviceability Limit State (SLS) and the Ultimate
Limit State (ULS), whereas the current book deals with more
advanced ULS aspects, along with instability and second-order
analysis aspects. Some recent research results including the use of
non-local mechanics are also presented. This book is aimed at
Masters-level students, engineers, researchers and teachers in the
field of reinforced concrete design. Most of the books in this area
are very practical or code-oriented, whereas this book is more
theoretically based, using rigorous mathematics and mechanics
tools.

Contents

1. Advanced Design at Ultimate Limit State (ULS).

2. Slender Compression Members - Mechanics and Design.

3. Approximate Analysis Methods.

Appendix 1. Cardano's Method.

Appendix 2. Steel Reinforcement Table.

About the Authors

Jostein Hellesland has been Professor of Structural Mechanics at
the University of Oslo, Norway since January 1988. His contribution
to the field of stability has been recognized and magnified by many
high-quality papers in famous international journals such as
Engineering Structures, Thin-Walled Structures, Journal of
Constructional Steel Research and Journal of Structural
Engineering.

Noël Challamel is Professor in Civil Engineering at UBS,
University of South Brittany in France and chairman of the EMI-ASCE
Stability committee. His contributions mainly concern the dynamics,
stability and inelastic behavior of structural components, with
special emphasis on Continuum Damage Mechanics (more than 70
publications in International peer-reviewed journals).

Charles Casandjian was formerly Associate Professor at INSA (French
National Institute of Applied Sciences), Rennes, France and the
chairman of the course on reinforced concrete design. He has
published work on the mechanics of concrete and is also involved in
creating a web experience for teaching reinforced concrete design
- BA-CORTEX.

Christophe Lanos is Professor in Civil Engineering at the
University of Rennes 1 in France. He has mainly published work on
the mechanics of concrete, as well as other related subjects. He is
also involved in creating a web experience for teaching reinforced
concrete design - BA-CORTEX.

Jostein HELLESLAND, Professor at University of Oslo, Norway.

Noël CHALLAMEL, Professor at University of South Brittany, France.

Charles CASANDJIAN, retired from INSA (National Institute of Applied Sciences) of Rennes, France.

Christophe LANOS, Professor at University of Rennes 1, France.

Zusammenfassung

This book is focused on the theoretical and practical design of reinforced concrete beams, columns and frame structures. It is based on an analytical approach of designing normal reinforced concrete structural elements that are compatible with most international design rules, including for instance the European design rules Eurocode 2 for reinforced concrete structures. The book tries to distinguish between what belongs to the structural design philosophy of such structural elements (related to strength of materials arguments) and what belongs to the design rule aspects associated with specific characteristic data (for the material or loading parameters). A previous book, entitled Reinforced Concrete Beams, Columns and Frames Mechanics and Design, deals with the fundamental aspects of the mechanics and design of reinforced concrete in general, both related to the Serviceability Limit State (SLS) and the Ultimate Limit State (ULS), whereas the current book deals with more advanced ULS aspects, along with instability and second-order analysis aspects. Some recent research results including the use of non-local mechanics are also presented. This book is aimed at Masters-level students, engineers, researchers and teachers in the field of reinforced concrete design. Most of the books in this area are very practical or code-oriented, whereas this book is more theoretically based, using rigorous mathematics and mechanics tools.

Contents

1. Advanced Design at Ultimate Limit State (ULS).
2. Slender Compression Members Mechanics and Design.
3. Approximate Analysis Methods.
Appendix 1. Cardano's Method.
Appendix 2. Steel Reinforcement Table.

About the Authors

Jostein Hellesland has been Professor of Structural Mechanics at the University of Oslo, Norway since January 1988. His contribution to the field of stability has been recognized and magnified by many high-quality papers in famous international journals such as Engineering Structures, Thin-Walled Structures, Journal of Constructional Steel Research and Journal of Structural Engineering.
Noël Challamel is Professor in Civil Engineering at UBS, University of South Brittany in France and chairman of the EMI-ASCE Stability committee. His contributions mainly concern the dynamics, stability and inelastic behavior of structural components, with special emphasis on Continuum Damage Mechanics (more than 70 publications in International peer-reviewed journals).
Charles Casandjian was formerly Associate Professor at INSA (French National Institute of Applied Sciences), Rennes, France and the chairman of the course on reinforced concrete design. He has published work on the mechanics of concrete and is also involved in creating a web experience for teaching reinforced concrete design BA-CORTEX.
Christophe Lanos is Professor in Civil Engineering at the University of Rennes 1 in France. He has mainly published work on the mechanics of concrete, as well as other related subjects. He is also involved in creating a web experience for teaching reinforced concrete design BA-CORTEX.

Preface ix

Chapter 1. Advanced Design at Ultimate Limit State (ULS) 1

1.1. Design at ULS simplified analysis 1

1.1.1. Simplified rectangular behavior rectangular cross-section 1

1.1.2. Simplified rectangular behavior T-cross-section 16

1.1.3. Comparison of design between serviceability limit state and ultimate limit state 22

1.1.4. Biaxial bending of a rectangular cross-section 28

1.2. ULS extended analysis 37

1.2.1. Bilinear constitutive law for concrete rectangular cross-section 37

1.2.2. Parabolarectangle constitutive law for concrete rectangular cross-section 44

1.2.3. T-cross-section general resolution for bilinear or parabolarectangle laws for concrete 53

1.2.4. T-cross-section general equations for composed bending with normal forces 66

1.3. ULS interaction diagram 82

1.3.1. Theoretical formulation of the interaction diagram 82

1.3.2. Approximation formulations 94

1.3.3. Graphical results for general cross-sections 98

Chapter 2. Slender Compression Members Mechanics …