Limit Analysis and Concrete Plasticity: 3rd Edition (Hardback) book cover

Limit Analysis and Concrete Plasticity

3rd Edition

By M.P. Nielsen, L.C. Hoang

CRC Press

816 pages | 669 B/W Illus.

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pub: 2010-12-13
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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.


Table of Contents


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

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / General