Reinforced Concrete Beams, Columns and Frames : Mechanics and Design.
Title:
Reinforced Concrete Beams, Columns and Frames : Mechanics and Design.
Author:
Casandjian, Charles.
ISBN:
9781118639467
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (245 pages)
Series:
Iste
Contents:
Title Page -- Contents -- Preface -- Chapter 1. Design at Serviceability Limit State (SLS) -- 1.1. Nomenclature -- 1.1.1. Convention with the normal vector orientation -- 1.1.2. Vectorial notation -- 1.1.3. Part of the conserved reference section -- 1.1.4. Frame -- 1.1.5. Compression stress σc,sup in the most compressed fiber -- 1.2. Bending behavior of reinforced concrete beams - qualitative analysis -- 1.2.1. Framework of the study -- 1.2.2. Classification of cross-sectional behavior -- 1.2.3. Parameterization of the response curves by the stress σs1 of the most stressed tensile reinforcement -- 1.2.4. Comparison of σs1 of the tensile reinforcement for a given stress in the most compressed concrete fiber σc,sup -- 1.2.5. Comparison of the bending moments -- 1.3. Background on the concept of limit laws -- 1.3.1. Limit law for material behavior -- 1.3.2. Example of limit laws in physics, case of the transistor -- 1.3.3. Design of reinforced concrete beams in bending at the stress Serviceability Limit State -- 1.4. Limit laws for steel and concrete at Serviceability Limit State -- 1.4.1. Concrete at the cross-sectional SLS -- 1.4.2. Steel at the cross-sectional SLS -- 1.4.3. Equivalent material coefficient -- 1.5. Pivots notion and equivalent stress diagram -- 1.5.1. Frame and neutral axis -- 1.5.2. Conservation of planeity of a cross-section -- 1.5.3. Planeity conservation law in term of stress -- 1.5.4. Introduction to pivot concepts -- 1.5.5. Pivot rules -- 1.6. Dimensionless coefficients -- 1.6.1. Goal -- 1.6.2. Total height of the cross-section -- 1.6.3. Relative position of the neutral axis -- 1.6.4. Shape filling coefficient -- 1.6.5. Dimensionless formulation for the position of the center of pressure -- 1.7. Equilibrium and resolution methodology -- 1.7.1. Equilibrium equations.
1.7.2. Discussion on the resolution of equations with respect to the number of unknowns -- 1.7.3 Reduced moments -- 1.7.4. Case of a rectangular section -- 1.8. Case of pivot A for a rectangular section -- 1.8.1. Studied section -- 1.8.2. Shape filling coefficient -- 1.8.3. Dimensionless coefficient related to the center of pressure -- 1.8.4. Equations formulation -- 1.8.5. Resolution -- 1.9. Case of pivot B for a rectangular section -- 1.9.1. Studied section -- 1.9.2. Shape filling coefficient -- 1.9.3. Dimensionless coefficient related to the center of pressure -- 1.9.4. Equations formulation -- 1.9.5. Resolution -- 1.9.6. Synthesis -- 1.10. Examples - bending of reinforced concrete beams with rectangular cross-section -- 1.10.1. A design problem at SLS - exercise -- 1.10.2. Resolution in Pivot A - Mser = 225 kN.m -- 1.10.3. Resolution in Pivot B - Mser = 405 kN.m -- 1.10.4. Resolution in pivot AB -- 1.10.5. Design of a reinforced concrete section, an optimization problem -- 1.10.6. General design at Serviceability Limit State with tensile and compression steel reinforcements -- 1.11. Reinforced concrete beams with T-cross-section -- 1.11.1. Introduction -- 1.11.2. Decomposition of the cross-section -- 1.11.3. Case of pivot A for a T-cross-section -- 1.11.4. Case of pivot B for a T-cross-section -- 1.11.5. Example - design of reinforced concrete beams composed of T-cross-section -- Chapter 2. Verification at Serviceability Limit State (SLS) -- 2.1. Verification of a given cross-section -- 2.1.1. Position of the neutral axis -- 2.1.2. Equation of static moments for the determination of the position of neutral axis -- 2.1.3. Stress calculation - general case -- 2.1.4. Rectangular cross-section - verification of a given cross-section -- 2.1.5. T-cross-section - verification of a given cross-section.
2.1.6. Example - verification of a reinforced T-cross-section -- 2.1.7. Determination of the maximum resisting moment -- 2.2. Cross-section with continuously varying depth -- 2.2.1. Triangular or trapezoidal cross-section -- 2.2.2. Equilibrium equations - normal force resultant -- 2.2.3. Equilibrium equations - bending resultant moment -- 2.2.4. Case of pivot A for a triangular cross-section -- 2.2.5. Case of pivot B for a triangular cross-section -- 2.2.6. Static moment equation for a triangular cross-section -- 2.2.7. Design example of a triangular cross-section -- 2.3. Composed bending with combined axial forces -- 2.3.1. Steel reinforcement design for a given reinforced concrete section -- 2.3.2. Determination of the position of the neutral axis - simple bending -- 2.3.3. Determination of the position of the neutral axis - composed bending with normal force solicitation -- 2.3.4. Exercises for composed bending with normal force solicitation -- 2.4. Deflection at Serviceability Limit State -- 2.4.1. Effect of crack on the bending curvature relationship -- 2.4.2. Simply supported reinforced concrete beam -- 2.4.3. Calculation of deflection - safe approach -- 2.4.4. Calculation of deflection - a more refined approach -- tension stiffening neglected -- 2.4.5. Calculation of deflection - a more refined approach -- tension stiffening included -- 2.4.6. Approximated approach -- 2.4.7. Calculation of deflection - a structural example -- Chapter 3. Concepts for the Design at Ultimate Limit State (ULS) -- 3.1. Introduction to ultimate limit state -- 3.1.1. Yield design -- 3.1.2. Application of yield design to the cantilever beam -- 3.1.3. Inelastic (plasticity or continuum damage mechanics) bendingcurvature constitutive law -- 3.2. Postfailure analysis -- 3.2.1. Historical perspective -- 3.2.2. Wood's paradox.
3.2.3. Non-local hardening/softening constitutive law, a variational principle -- 3.2.4. Non-local softening constitutive law: application to the cantilever beam -- 3.2.5. Some other structural cases - the simply supported beam -- 3.2.6. Postfailure of reinforced concrete beams under distributed lateral load -- 3.3. Constitutive laws for steel and concrete -- 3.3.1. Steel behavior -- 3.3.2. Concrete behavior -- 3.3.3. Dimensionless parameters at ULS -- 3.3.4. Calculation of the concrete resultant for the rectangular simplified diagram -- 3.3.5. Calculation of the concrete resultant for the bilinear diagram -- 3.3.6. Calculation of the concrete resultant for the parabola-rectangle diagram -- 3.3.7. Calculation of the concrete resultant for the law of Desayi and Krishnan -- 3.3.8. Calculation of the concrete resultant for Sargin's law of Eurocode 2 -- 3.3.9. On the use of the reduced moment parameter -- Chapter 4. Bending-Curvature at Ultimate Limit State (ULS) -- 4.1. On the bilinear approximation of the moment-curvature relationship of reinforced concrete beams -- 4.1.1. Phenomenological approach -- 4.1.2. Moment-curvature relationship for concrete - brief overview -- 4.1.3. Analytical moment-curvature relationship for concrete -- 4.1.4. A model based on the bilinear moment-curvature approximation -- 4.2. Postfailure of reinforced concrete beams with the initial bilinear moment-curvature constitutive law -- 4.2.1. Elastic-hardeni -- 4.2.2. Plastic hinge approach -- 4.2.3. Elastic-hardening constitutive law and local softening collapse: Wood's paradox -- 4.2.4. Elastic-hardening constitutive law and non-local local softening collapse -- 4.3. Bending moment-curvature relationship for buckling and postbuckling of reinforced concrete columns -- 4.3.1. A continuum damage mechanics-based moment curvature relationship.
4.3.2. Governing equations of the problem and numerical resolution -- 4.3.3. Second-order analysis - some analytical arguments -- 4.3.4. Postfailure of the non-local continuum damage mechanics column -- Appendix 1. Cardano's Method -- A1.1. Introduction -- A1.2. Roots of a cubic function - method of resolution -- A1.2.1. Canonical form -- A1.2.2 Resolution - one real and two complex roots -- A1.2.3. Resolution - two real roots -- A1.2.4. Resolution - three real roots -- A1.3. Roots of a cubic function - synthesis -- A1.3.1. Summary of Cardano's method -- A1.3.2. Resolution of a cubic equation - example -- A1.4. Roots of a quartic function - principle of resolution -- Appendix 2. Steel Reinforcement Table -- Bibliography -- Index.
Abstract:
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). 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). A second book, entitled Reinforced Concrete Beams, Columns and Frames - Section and Slender Member Analysis, 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. Design at Serviceability Limit State (SLS). 2. Verification at Serviceability Limit State (SLS). 3. Concepts for the Design at Ultimate Limit State (ULS). 4. Bending-Curvature at Ultimate Limit State (ULS). Appendix 1. Cardano's Method. Appendix 2. Steel Reinforcement Table. About the Authors 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. 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). 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 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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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