Limit Analysis and Concrete Plasticity  book cover
3rd Edition

Limit Analysis and Concrete Plasticity

ISBN 9781439803967
Published December 13, 2010 by CRC Press
816 Pages 669 B/W Illustrations

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Book Description

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

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