Opis: Reinforced Concrete Beams, Columns and Frames - Christophe Lanos, Jostein Hellesland, Charles Casandjian

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.Preface Chapter 1 Design at Serviceability Limit State (SLS) Nomenclature Convention with the normal vector orientation Vectorial notation Part of the conserved reference section Frame Compression stress sigmac,sup in the most compressed fiber Bending behavior of reinforced concrete beams -- qualitative analysis Framework of the study Classification of cross-sectional behavior Parameterization of the response curves by the stress sigmas of the most stressed tensile reinforcement Comparison of sigmas of the tensile reinforcement for a given stress in the most compressed concrete fiber sigmac,sup Comparison of the bending moments Background on the concept of limit laws Limit law for material behavior Example of limit laws in physics, case of the transistor Design of reinforced concrete beams in bending at the stress Serviceability Limit State Limit laws for steel and concrete at Serviceability Limit State Concrete at the cross-sectional SLS Steel at the cross-sectional SLS Equivalent material coefficient Pivots notion and equivalent stress diagram Frame and neutral axis Conservation of planeity of a cross-section Planeity conservation law in term of stress Introduction to pivot concepts Pivot rules Dimensionless coefficients Goal Total height of the cross-section Relative position of the neutral axis Shape filling coefficient Dimensionless formulation for the position of the center of pressure Equilibrium and resolution methodology Equilibrium equations Discussion on the resolution of equations with respect to the number of unknowns Reduced moments Case of a rectangular section Case of pivot A for a rectangular section Studied section Shape filling coefficient Dimensionless coefficient related to the center of pressure Equations formulation Resolution Case of pivot B for a rectangular section Studied section Shape filling coefficient Dimensionless coefficient related to the center of pressure Equations formulation Resolution Synthesis Examples -- bending of reinforced concrete beams with rectangular cross-section A design problem at SLS -- exercise Resolution in Pivot A -- Mser = kNm Resolution in Pivot B -- Mser = kNm Resolution in pivot AB Design of a reinforced concrete section, an optimization problem General design at Serviceability Limit State with tensile and compression steel reinforcements Reinforced concrete beams with T-cross-section Introduction Decomposition of the cross-section Case of pivot A for a T-cross-section Case of pivot B for a T-cross-section Example -- design of reinforced concrete beams composed of T-cross-section Chapter 2 Verification at Serviceability Limit State (SLS) Verification of a given cross-section -- control design Position of the neutral axis Equation of static moments for the determination of the position of neutral axis Stress calculation -- general case Rectangular cross-section -- verification of a given cross-section T-cross-section -- verification of a given cross-section Example -- verification of a reinforced T-cross-section Determination of the maximum resisting moment Cross-section with continuously varying depth Triangular or trapezoidal cross-section Equilibrium equations -- normal force resultant Equilibrium equations -- bending resultant moment Case of pivot A for a triangular cross-section Case of pivot B for a triangular cross-section Static moment equation for a triangular cross-section Design example of a triangular cross-section Composed bending with combined axial forces Steel reinforcement design for a given reinforced concrete section Determination of the position of the neutral axis -- simple bending Determination of the position of the neutral axis -- composed bending with normal force solicitation Exercises for composed bending with normal force solicitation Deflection at Serviceability Limit State Effect of crack on the bending curvature relationship Simply supported reinforced concrete beam Calculation of deflection -- safe approach Calculation of deflection -- a more refined approach; tension stiffening neglected Calculation of deflection -- a more refined approach; tension stiffening included Approximated approach Calculation of deflection -- a structural example Chapter 3 Concepts for the Design at Ultimate Limit State (ULS) Introduction to ultimate limit state Yield design Application of yield design to the cantilever beam Inelastic (plasticity or continuum damage mechanics) bending-curvature constitutive law Postfailure analysis Historical perspective Wood's paradox Non-local hardening/softening constitutive law, a variational principle Non-local softening constitutive law: application to the cantilever beam Some other structural cases -- the simply supported beam Postfailure of reinforced concrete beams under distributed lateral load Constitutive laws for steel and concrete Steel behavior Concrete behavior Dimensionless parameters at ULS Calculation of the concrete resultant for the rectangular simplified diagram Calculation of the concrete resultant for the bilinear diagram Calculation of the concrete resultant for the parabola--rectangle diagram Calculation of the concrete resultant for the law of Desayi and Krishnan Calculation of the concrete resultant for Sargin's law of Eurocode On the use of the reduced moment parameter Chapter 4 Bending-Curvature at Ultimate Limit State (ULS) On the bilinear approximation of the moment-curvature relationship of reinforced concrete beams Phenomenological approach Moment-curvature relationship for concrete -- brief overview Analytical moment-curvature relationship for concrete A model based on the bilinear moment-curvature approximation Postfailure of reinforced concrete beams with the initial bilinear moment-curvature constitutive law Elastic-hardening constitutive law Plastic hinge approach Elastic-hardening constitutive law and local softening collapse: Wood's paradox Elastic-hardening constitutive law and non-local local softening collapse Bending moment-curvature relationship for buckling and postbuckling of reinforced concrete columns A continuum damage mechanics-based moment curvature relationship Governing equations of the problem and numerical resolution Second-order analysis -- some analytical arguments Postfailure of the non-local continuum damage mechanics column Appendix Cardano's Method A Introduction A Roots of a cubic function -- method of resolution A Canonical form A Resolution -- one real and two complex roots A Resolution -- two real roots A Resolution -- three real roots A Roots of a cubic function -- synthesis A Summary of Cardano's method A Resolution of a cubic equation -- example A Roots of a quartic function -- principle of resolution Appendix Steel Reinforcement Table Bibliography Index

Szczegóły: Reinforced Concrete Beams, Columns and Frames - Christophe Lanos, Jostein Hellesland, Charles Casandjian

Tytuł: Reinforced Concrete Beams, Columns and Frames
Autor: Christophe Lanos, Jostein Hellesland, Charles Casandjian
Producent: ISTE Publishing Company
ISBN: 9781848214828
Rok produkcji: 2013
Ilość stron: 320
Oprawa: Twarda
Waga: 0.62 kg

Recenzje: Reinforced Concrete Beams, Columns and Frames - Christophe Lanos, Jostein Hellesland, Charles Casandjian