Reinforced Concrete Beams, Columns, and Frames by Jostein Hellesland, Noël Challamel, Charles Casandjian, Christophe Lanos

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Reinforced Concrete Beams, Columns, and Frames

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Contents of Reinforced Concrete Beams, Columns, and Frames

  • Chapter 1. Advanced Design at Ultimate Limit State (ULS)
  • Design at ULS – simplified analysis
  • Simplified rectangular behavior – rectangular cross-section
  • Simplified rectangular behavior – T-cross-section
  • Comparison of design between serviceability limit state
  • and ultimate limit state
  • Biaxial bending of a rectangular cross-section
  • ULS – extended analysis
  • Bilinear constitutive law for concrete – rectangular
  • cross-section
  • Parabola–rectangle constitutive law for concrete – rectangular
  • cross-section
  • T-cross-section – general resolution for bilinear or
  • parabola–rectangle laws for concrete
  • T-cross-section – general equations for composed bending
  • with normal forces
  • ULS – interaction diagram
  • Theoretical formulation of the interaction diagram
  • Approximation formulations
  • Graphical results for general cross-sections
  • Chapter 2. Slender Compression Members – Mechanics and Design
  • Introduction
  • Analysis methods
  • General
  • Requirements to second-order analysis
  • vi Reinforced Concrete Beams, Columns and Frames
  • Member and system instability
  • Elastic critical load and effective (buckling) length
  • System instability principles
  • Concrete column instability – limit load
  • First- and second-order load effects
  • Global and local second-order effects
  • Single members
  • Frame mechanics – braced and bracing columns
  • Moment equilibrium at joints
  • Maximum moment formation
  • Maximum first- and second-order moment at the
  • same section
  • Maximum first- and second-order moment at different sections
  • Curvature-based maximum moment expression
  • Unbraced frame application example
  • Local and global slenderness limits
  • Local, lower slenderness limits – general
  • EC – local lower slenderness limits
  • NS-EC – Local lower slenderness limits
  • Comparison of the EC and NS-EC limits
  • Local upper slenderness limit
  • Global lower slenderness limit
  • Effect of creep deformations
  • General
  • Effects on load and deformation capacity
  • Approximate calculation of creep effects
  • Geometric imperfections
  • Imperfection inclination
  • Stiffening structural elements
  • Stiffened and isolated structural elements
  • Elastic analysis methods
  • Principles, equilibrium and compatibility
  • Equilibrium and compatibility at multiple sections
  • Optimization
  • Practical linear elastic analysis
  • Stiffness assumptions
  • EC approach
  • ACI approach
  • Simplified analysis and design methods
  • General
  • Simplified second-order analysis
  • Method based on nominal stiffness
  • Method based on nominal curvature
  • ULS design
  • Simplified design methods
  • Alternative design methods
  • Design example – framed column
  • Chapter 3. Approximate Analysis Methods
  • Effective lengths
  • Definition and exact member analysis
  • EC effective length of isolated members
  • Alternative effective length expressions
  • Columns with beam restraints
  • Method of means
  • General
  • Method of means – typical steps
  • Application of the method of means
  • Global buckling of unbraced or partially braced systems
  • General considerations
  • Flexibility factors
  • System instability and “system” effective lengths
  • Instability of partially braced column – example
  • Instability of partially braced frame – example
  • Sway buckling of unbraced multistory frames
  • Story sway and moment magnification
  • General
  • Partially braced column – example
  • Partially braced frame – example
  • Sway magnifier prediction of frames with single
  • curvature regions
  • Iterative elastic analysis method
  • Global magnifiers for sway and moments
  • 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
  • viii Reinforced Concrete Beams, Columns and Frames

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