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Advanced Strength and Applied Elasticity

ISBN-10: 0130473928
ISBN-13: 9780130473929
Edition: 4th 2003 (Revised)
List price: $136.00
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Book details

List price: $136.00
Edition: 4th
Copyright year: 2003
Publisher: Prentice Hall PTR
Publication date: 1/30/2003
Binding: Hardcover
Pages: 560
Size: 7.00" wide x 9.25" long x 1.00" tall
Weight: 2.376
Language: English

Preface to the Fourth Edition
List of Symbols
Analysis of Stress
Introduction
Scope of Treatment
Definition of Stress
Components of Stress: Stress Tensor
Some Special Cases of Stress
Internal Force-Resultant and Stress Relations
Stresses on Inclined Planes in an Axially Loaded Member
Variation of Stress within a Body
Two-Dimensional Stress at a Point
Principal Stresses and Maximum Shear Stress in Two Dimensions
Mohr's Circle for Two-Dimensional Stress
Three-Dimensional Stress at a Point
Principal Stresses in Three Dimensions
Normal and Shear Stresses on an Oblique Plane
Mohr's Circle for Three-Dimensional Stress
Boundary Conditions in Terms of Surface Forces
Problems
Strain and Stress-Strain Relations
Introduction
Deformation
Strain Defined
Equations of Compatibility
State of Strain at a Point
Engineering Materials
Stress-Strain Diagrams
Hooke's Law and Poisson's Ratio
Generalized Hooke's Law
Measurement of Strain: Bonded Strain Gages
Strain Energy
Strain Energy in Common Structural Members
Components of Strain Energy
Saint-Venant's Principle
Problems
Two-Dimensional Problems in Elasticity
Introduction
Fundamental Principles of Analysis
Formulation and Methods of Solution
Plane Strain Problems
Plane Stress Problems
Airy's Stress Function
Solution of Elasticity Problems
Thermal Stresses
Basic Relations in Polar Coordinates
Stress Concentrations
Stresses Due to Concentrated Loads
Stress Distribution near Concentrated Load Acting on a Beam
Stress Concentration Factors
Neuber's Diagram
Contact Stresses
Problems
Failure Criteria
Introduction
Failure
Failure by Yielding
Failure by Fracture
Yield and Fracture Criteria
Maximum Shearing Stress Theory
Maximum Distortion Energy Theory
Octahedral Shearing Stress Theory
Comparison of the Yielding Theories
Maximum Principal Stress Theory
Mohr's Theory
Coulomb-Mohr Theory
Introductory Fracture Mechanics
Failure Criteria for Metal Fatigue
Fatigue Life under Combined Loading
Impact or Dynamic Loads
Dynamic and Thermal Effects
Problems
Bending of Beams
Introduction
Exact Solutions
Pure Bending of Beams of Symmetrical Cross Section
Pure Bending of Beams of Asymmetrical Cross Section
Bending of a Cantilever of Narrow Section
Bending of a Simply Supported, Narrow Beam
Approximate Solutions
Elementary Theory of Bending
Bending and Shearing Stresses
Effect of Transverse Normal Stress
Composite Beams
Shear Center
Statically Indeterminate Systems
Energy Method for Deflections
Curved Beams
Exact Solution
Tangential Stress. Winkler's Theory
Combined Tangential and Normal Stresses
Problems
Torsion of Prismatic Bars
Introduction
Elementary Theory of Torsion of Circular Bars
General Solution of the Torsion Problem
Prandtl's Stress Function
Prandtl's Membrane Analogy
Torsion of Thin-Walled Members of Open Cross Section
Torsion of Multiply Connected Thin-Walled Sections
Fluid Flow Analogy and Stress Concentration
Torsion of Restrained Thin-Walled Members of Open Cross Section
Curved Circular Bars: Helical Springs
Problems
Numerical Methods
Introduction
Finite Differences
Finite Difference Equations
Curved Boundaries
Boundary Conditions
Finite Element Method
Properties of a Finite Element
Formulation of the Finite Element Method
Triangular Finite Element
Use of Digital Computers
Problems
Axisymmetrically Loaded Members
Introduction
Thick-Walled Cylinders
Maximum Tangential Stress
Application of Failure Theories
Compound Cylinders
Rotating Disks of Constant Thickness
Rotating Disks of Variable Thickness
Rotating Disks of Uniform Stress
Thermal Stresses in Thin Disks
Thermal Stress in Long Circular Cylinders
Finite Element Solution
Formulation of Axisymmetric Element
Problems
Beams on Elastic Foundations
Introduction
General Theory
Infinite Beams
Semi-Infinite Beams
Finite Beams: Classification of Beams
Beams Supported by Equally Spaced Elastic Elements
Simplified Solutions for Relatively Stiff Beams
Solution by Finite Differences
Applications
Problems
Energy Methods
Introduction
Work Done in Deformation
Reciprocity Theorem
Castigliano's Theorem
Unit or Dummy Load Method
Crotti-Engesser Theorem
Statically Indeterminate Systems
Principle of Virtual Work
Principle of Minimum Potential Energy
Application of Trigonometric Series
Rayleigh-Ritz Method
Problems
Elastic Stability
Introduction
Critical Load
Buckling of a Column
End Conditions
Critical Stress in a Column
Allowable Stress
Initially Curved Members
Eccentrically Loaded Columns: Secant Formula
Energy Methods Applied to Buckling
Solution by Finite Differences
Finite Difference Solution for Unevenly Spaced Nodes
Problems
Plastic Behavior of Materials
Introduction
Plastic Deformation
True Stress-True Strain Curve in Simple Tension
Instability in Simple Tension
Plastic Deflection of Beams
Analysis of Perfectly Plastic Beams
Collapse Load of Structures
Elastic-Plastic Torsion
Elastic-Plastic Stresses in Rotating Disks
Plastic Stress-Strain Relations
Plastic Stress-Strain Increment Relations
Stresses in Perfectly Plastic Thick-Walled Cylinders
Problems
Plates and Shells
Bending of Thin Plates
Basic Assumptions
Strain-Curvature Relations
Stress, Curvature, and Moment Relations
Governing Equations of Plate Deflection
Boundary Conditions
Simply Supported Rectangular Plates
Axisymmetrically Loaded Circular Plates
Deflections of Rectangular Plates by the Strain Energy Method
Finite Element Solution
Membrane Stresses in Thin Shells
Basic Assumptions
Simple Membrane Action
Symmetrically Loaded Shells of Revolution
Some Common Cases of Shells of Revolution
Cylindrical Shells of General Shape
Problems
Indicial Notation
Solution of the Stress Cubic Equation
Principal Stresses
Direction Cosines
Moments of Composite Areas
Centroid
Moments of Inertia
Parallel-Axis Theorem
Principal Moments of Inertia
Tables
Average Properties of Common Engineering Materials
Conversion Factors: SI Units to U.S. Customary Units
SI Unit Prefixes
Deflections and Slopes of Beams
References
Answers to Selected Problems
Index

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