Handbook on Plastic Analysis in Engineering

by Leonid Belenkiy

isbn 0-9742019-2-8 US$299 ::

Hardbound 7.5" x 10" :: ©2005 1055 pages 534 fig :: 332 tables

This is a comprehensive reference source, a unique combination of a handbook, a textbook, and a guide on practical applications of plastic analysis for a wide scope of structures used in many industries. The use of plastic analysis and its advanced tool, the limit analysis, can markedly enhance structural design as compared to what can be done using traditional methods and standards based on the theory of elasticity. However, practical applications of plastic analysis have been limited due to a very narrow base of the existing closed-form solutions for elementary cases only. The lack of closed-form solutions has been a significant obstacle in implementation of plastic analyses and criteria, which are usually more suitable for reliability assessment and optimization of material distribution in a structure, thus increasing reliability and performance. This handbook with all existing and many newly derived formulas is as significant for plastic analysis applications as many finest handbooks (such as the famous Roark's Formulas or Kleinlgel's Rigid Frame Formulas, to name a few) have been for elastic analysis. The book is skillfully organized to provide its reader with all pertinent theoretical background, simply worded and richly illustrated by numerical examples in using the formulas and deriving more formulas. This makes it also a convenient textbook and an advanced theoretical monograph. In this book, virtually every table of formulas and every discussion topic is stand-alone with all vital information included and with references to appropriate definitions and/or detailed explanations throughout the book.

All necessary definitions and background of the theory of plasticity and limit analysis are presented in Part 1 without proofs. Parts 2 through 6 are focused on determining limit loads of a great number of structures. Simple formulas are derived, most for the first time ever, for a great majority of commonly used structures. They are presented in systematically organized tables with all necessary how-to-use information. Parts 7 & 8 present closed-form solutions for more sophisticated models of material and

structural behavior taking into account geometric non-linearity, elastic and elastic-plastic compliance of supports, strain hardening of material, buckling of compressed structures, load-bearing capacity of compressed-bent structures, and shakedown under variable loads. As a result, formulas for maximum displacements and deflections, critical loads, and shakedown loads are presented, also mostly for the first time ever. Accurate solutions are presented where possible; in other cases their upper and lower bounds or approximate formulas are given with detailed specific information on their application ranges and error margins. Derivation procedures are explained in detail for all groups of formulas and numerous examples are given throughout the book to help the reader in practical applications.

The book is addressed to virtually all who are interested in studying and involved in all kinds of practical applications of plastic analysis, from engineers in structural design and stress analysis to those involved in research, rule development, and advanced academic studies of the theory of plasticity, and from undergraduate students to professors. Structural engineers in civil, mechanical, shipbuilding, aircraft & space, ocean, oil & gas, chemical and other engineering industries may need this book. Its table of contents is self-explanatory.

Table of Contents

Pt. 1. Background: 1.1. Theory of Plasticity; 1.2. Bars, Beams, Plates, and Shells; 1.3. Limit Analysis; 1.4. Geometrically Non-Linear and Combined Problems; 1.5 Other Problems

Pt. 2. Limit State of Cross Section: 2.1. Pure Bending; 2.2. Pure Bending with Tension/Compression; 2.3. Pure Torsion and Combined Loading; 2.4. Lateral Bending; 2.5. Restrained Torsion of Thin-Walled Beams

Pt. 3. Limit Loads of Straight Bars and Beams: 3.1. Tension/Compression, Pure Torsion, and Pure Plain Bending; 3.2. Combined Loading; 3.3. Lateral Bending of I-Beams; 3.4. Restrained Warping Torsion of Thin-Walled Beams

Pt. 4. Limit Loads of Frames Made of Straight Beams: 4.1. Beams with Broken Axis; 4.2. Rectangular Frames; 4.3. Non-Rectangular Frames; 4.4. Grillages

Pt. 5. Limit Loads of Curved Beams and Frames: 5.1. Background and Simple Problems; 5.2. Parabolic Arches; 5.3. Circular and Elliptic Arches; 5.4. Rings; 5.5. Curved Frames

Pt. 6. Limit Loads of Plates and Shells: 6.1. Exact Solutions and Bilateral Estimates; 6.2. Approximate Kinematic Solutions for Plates and Panels; 6.3. Shells and Plane Stress Solutions

Pt. 7. Geometrically Non-Linear and Combined Problems: 7.1. Large Deflection of Beams; 7.2. Beams on Elastic and Elastic-Plastic Supports; 7.3. Large Deflections of Plane Curved and Broken-Axis Beams; 7.4. Large Deflections of Plates and Shells; 7.5. Flexible Structures

Pt. 8. Elastic-Plastic Problems: 8.1. Beams in Elastic-Plastic Stage; 8.2. Determination of Displacements in Elastic-Plastic Problems; 8.3. Load Bearing Capacity of Compressed-Bent Structures. Buckling; 8.4. Residual Stresses and Shakedown

Subject Index.