3rd Edition

Limit Analysis and Concrete Plasticity

By M.P. Nielsen, L.C. Hoang Copyright 2011
    816 Pages 669 B/W Illustrations
    by CRC Press

    First published in 1984, Limit Analysis and Concrete Plasticity explains for advanced design engineers the principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design formulas.

    Updated and revised throughout, Limit Analysis and Concrete Plasticity, Third Edition adds—

    • Reinforcement design formulas for three-dimensional stress fields that enable design of solid structures (also suitable for implementation in computer-based lower bound optimizations)
    • Improved explanations of the crack sliding theory and new solutions for beams with arbitrary curved shear cracks, continuous beams, lightly shear reinforced beams and beams with large axial compression
    • More accurate treatment of and solutions for beams with circular cross-section
    • Applications of crack sliding theory to punching shear problems
    • New solutions that illustrate the implication of initial cracking on load-carrying capacity of disks
    • Yield condition for the limiting case of isotropically cracked disk

    The authors also devote an entirely new chapter to a recently developed theory of rigid-plastic dynamics for seismic design of concrete structures. In comparison with time-history analyses, the new theory is simpler to use and leads to large material savings. With this chapter, plasticity design methods for both statical and dynamical loads are now covered by the book.


    The Theory of Plasticity
    Constitutive Equations
    Extremum Principles for Rigid-Plastic Materials
    The Solution of Plasticity Problems
    Reinforced Concrete Structures
    Yield Conditions
    Yield Conditions for Reinforced Disks
    Yield Conditions for Slabs
    Reinforcement Design
    The Theory of Plain Concrete
    Statical Conditions
    Geometrical Conditions
    Virtual Work
    Constitutive Equations
    The Theory of Plane Strain for Coulomb Materials
    Statical Conditions
    Geometrical Conditions
    Virtual Work
    Constitutive Equations
    Exact Solutions for Isotropic Disks
    The Effective Compressive Strength of Reinforced Disks
    General Theory of Lower Bound Solutions
    Strut and Tie Models
    Shear Walls
    Homogenous Reinforcement Solutions
    Design According to the Elastic Theory
    Beams in Bending
    Beams in Shear
    Beams in Torsion
    Combined Bending, Shear, and Torsion
    Statical Conditions
    Geometrical Conditions
    Virtual Work, Boundary Conditions
    Constitutive Equations
    Exact Solutions for Isotropic Slabs
    Upper Bound Solutions for Isotropic Slabs
    Lower Bound Solutions
    Orthotropic Slabs
    Analytical Optimum Reinforcement Solutions
    Numerical Methods
    Membrane Action
    Punching Shear of Slabs
    Internal Loads or Columns
    Edge and Corner Loads
    Concluding Remarks
    Shear in Joints
    Analysis of Joints by Plastic Theory
    Strength of Different Types of Joints
    The Bond Strength of Reinforcing Bars
    The Local Failure Mechanism
    Failure Mechanisms
    Analysis of Failure Mechanisms
    Assessment of Anchor and Splice Strength
    Effect of Transverse Pressure and Support Reaction
    Effect of Transverse Reinforcement
    Concluding Remarks


    M.P. Nielsen Technical University of Denmark, Bygning, L.C. Hoang