Introduction to Solid Mechanics,9780132677585

Introduction to Solid Mechanics

by ;
Edition: 3rd
ISBN13: 9780132677585
ISBN10: 013267758X
Format: Paperback
Pub. Date: 1999-10-21
Publisher(s): Pearson
List Price: $219.98

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Summary

Rather than a rote "cookbook" approach to problem-solving, this book offers a rigorous treatment of the principles behind the practices, asking students to harness their sound foundation of theory when solving problems.A wealth of examples illustrate the meaning of the theory without simply offering recipes or maps for solving similar problems.

Table of Contents

Preface ix
About the Authors xv
Fundamental Notions
1(8)
Introduction
1(1)
Fundamental Concepts
2(2)
Vectors and Tensors
4(1)
Force Distributions
4(1)
A Note on Force and Mass
5(1)
Closure
6(1)
A Look Back
7(2)
Stress
9(38)
Introduction
9(1)
Stress
10(12)
Stress Notation
22(2)
Complementary Property of Shear
24(3)
A Comment on the Complementary Property of Shear
27(1)
Equations of Equilibrium in Differential Form
28(2)
Closure
30(1)
A Look Ahead: Hydrostatics
30(17)
Highlights (2)
31(16)
Strain
47(34)
Introduction
47(1)
The Displacement Field
47(1)
Strain Components
48(13)
Strains in Terms of the Displacement Field
61(6)
Compatibility Considerations
67(2)
Closure
69(1)
A Look Ahead: Fluid Mechanics I
70(11)
Highlights (3)
71(10)
Introduction to Mechanical Properties of Solids
81(30)
Introduction
81(1)
The Tensile Test
82(6)
Strain Hardening and Other Properties
88(2)
Idealized One-Dimensional, Time-Independent, Stress-Strain Laws
90(2)
A Look Ahead; Viscoelasticity and Creep
92(2)
Fatigue
94(4)
Stress Concentration
98(2)
One-Dimensional Thermal Stress
100(2)
Closure
102(1)
A Look Back
103(1)
A Look Ahead; Composite Materials
103(8)
Highlights (4)
105(6)
One-Dimensional Problems
111(56)
Introduction
111(1)
Basic Considerations
111(2)
Statically Determinate Problems
113(8)
Statically Indeterminate Problems
121(8)
Residual Stress Problem
129(5)
Design Problem
134(4)
Thermoelastic Problems
138(4)
Closure
142(1)
A Look Ahead; Basic Laws of Continua
143(24)
Highlights (5)
144(23)
Generalized Hooke's Law and Introduction to Energy Methods
167(46)
Introduction
167(1)
Part A: Simple Constitutive Relations
Three-Dimensional Hooke's Law for Isotropic Materials
168(3)
Relation Between the Three Material Constants
171(3)
Nonisothermal Hooke's Law
174(2)
Nonisotropic, Linear, Elastic Behavior: Generalized Hooke's Law
176(3)
A Look Ahead; Fluid Mechanics II
179(1)
Part B: Introduction to Energy Methods
Strain Energy
179(6)
Castigliano's Second Theorem (Energy Methods I)
185(10)
Basic Equations of Elasticity
195(3)
Closure
198(1)
A Look Ahead; Variational Methods
199(14)
Highlights (6)
201(12)
Plane Stress
213(26)
Introduction
213(1)
Stress Variations at a Point for Plane Stress
214(3)
A Pause and a Comment
217(2)
Principal Stresses and Principal Axes
219(4)
Mohr's Circle
223(7)
Closure
230(9)
Highlights (7)
231(8)
Plane Strain
239(22)
Introduction
239(1)
A Look Back; Taylor Series and Directional Derivatives
240(1)
Transformation Equations for Plane Strain
241(3)
Properties of Plane Strain
244(5)
A Pertinent Comment
249(1)
Strain Gages
250(3)
Closure
253(8)
Highlights (8)
254(7)
Failure Criteria
261(22)
Introduction
261(2)
Yield Criteria for Isotropic Ductile Materials
263(9)
Yield Surfaces
272(4)
Maximum Normal Stress Theory for Brittle Fracture
276(1)
Comparison of the Theories
276(1)
Closure
277(2)
Highlights (9)
278(1)
A Look Back; Equivalent Force Systems
279(4)
Section Forces in Beams
283(48)
Introduction
283(1)
Shear Force, Axial Force, and Bending Moment
283(11)
Direct Formulations of Shear and Bending-Moment Equations
294(5)
Differential Relations for Bending Moment, Shear Force, and Load
299(3)
Sketching Shear-Force and Bending-Moment Diagrams
302(5)
Problems Requiring Equations and Diagrams
307(4)
Additional Considerations
311(3)
Closure
314(1)
A Look Back
315(16)
Highlights (10)
317(14)
Stresses in Beams
331(104)
Introduction
331(1)
Part A: Basic Considerations
Pure Bending of Symmetric Beams
332(10)
Bending of Symmetric Beams with Shear: Normal Stress
342(4)
Bending of Symmetric Beams with Shear: Shear Stress
346(9)
Determination of the Sign of the Shear Stress
355(5)
Consideration of General Cuts
360(11)
Part B: Special Topics
Composite Beams
371(8)
Case of Unsymmetric Beams
379(7)
Shear Stress in Beams of Narrow Open Cross Section
386(6)
A Note on the Shear Center for Thin-Walled Open Members
392(3)
Inelastic Behavior of Beams: The Elastic, Perfectly Plastic Case
395(3)
A Note on the Failure of a Structure: Limit Design
398(3)
Inelastic Behavior of Beams: Generalized Stress-Strain Relation
401(2)
Stress Concentrations for Bending
403(1)
Bending of Curved Beams
404(7)
Closure
411(24)
Highlights for Part A (11)
412(23)
Deflection of Beams
435(56)
Introduction
435(1)
Differential Equations for Deflection of Symmetric Beams
435(10)
Additional Problems
445(5)
Statically Indeterminate Beams
450(6)
Superposition Methods
456(6)
Shear Deflection of Beams
462(2)
Energy Methods for Beams
464(9)
Closure
473(18)
A Look Ahead: A Closer Look at Beam Deflection and Highlights (12)
474(17)
Singularity Functions
491(22)
Introduction
491(1)
Delta Functions and Step Functions
491(4)
Deflection Computations Using Singularity Functions
495(7)
The Doublet Function
502(7)
Closure
509(4)
Torsion
513(54)
Introduction
513(1)
Circular Shafts
513(7)
Torsion Problems Involving Circular Shafts
520(8)
Stress Concentrations
528(2)
Torsion of Thin-Walled Noncircular Closed Shafts
530(5)
Elastic, Perfectly Plastic Torsion
535(5)
Noncircular Cross Sections
540(6)
Strain Energy Computations for Twisting
546(6)
Closure
552(15)
Highlights (14)
553(14)
Three-Dimensional stress Properties at a Point
567(32)
Introduction
567(1)
Three-Dimensional Transformation Formulations for Stress
567(16)
Principal Stresses for a General State of Stress
583(6)
Tensor Invariants
589(1)
A Look Ahead: Tensor Notation
590(3)
Closure
593(6)
Highlights (15)
594(5)
Three-Dimensional strain Relations at a Point
599(14)
Introduction
599(1)
Transformation Equations for Strain
599(7)
Properties of Strain
606(3)
Closure
609(4)
Highlights (16)
609(4)
Introduction to Elastic Stability
613(44)
Introduction
613(1)
Definition of Critical Load
613(2)
A Note on Types of Elastic Instabilities
615(2)
Beam-Column Equations
617(2)
The Column: Buckling Loads
619(9)
Looking Back as Well as Ahead
628(1)
Solution of Beam-Column Problems
628(3)
Initially Bent Member
631(3)
Eccentrically Loaded Columns
634(3)
General Considerations
637(1)
Inelastic Column Theory
638(3)
A Note on Column Formulas
641(1)
Closure
642(1)
A Look Ahead: Finite Elements
643(14)
Highlights (17)
645(12)
Energy Methods
657(40)
Introduction
657(1)
Part A: Displacement Methods
Principal of Virtual Work
658(9)
Method of Total Potential Energy
667(5)
A Comment on the Total Potential Energy Method
672(1)
The First Castigliano Theorem
672(6)
Part B: Force Methods
Principal of Complementary Virtual Work
678(4)
Complementary Potential Energy Principal
682(2)
Use of the Total Complementary Energy Principal
684(3)
The Second Castigliano Theorem
687(1)
Closure
688(9)
Introduction to Finite Elements
697(68)
A Comment
697(1)
Part A: Finite Elements for Trusses
Introduction
698(1)
The Stiffness Matrix for an Element: Definition
699(1)
Finite Elements and Trusses
700(4)
Stiffness Matrix for an Element
704(2)
The Global Stiffness Matrix
706(4)
Solution of a Truss Problem
710(5)
Part B: Some Preliminary General Considerations
Basic Considerations for Finite Elements
715(3)
General Theory for the Displacement Method
718(4)
Closure
722(1)
APPENDICES
I. Deformation of Isotropic Materials
723(4)
II. Proof Using Tensor Notation that Strain Is a Second-Order Tensor
727(2)
III. A Note on the Maxwell-Betti Theorem
729(3)
IV. Tables
Wide-flange Beams
732(3)
Standard Channels
735(1)
Standard Angles
736(1)
Standard Pipes
737(1)
Property of Areas
738(1)
Mechanical Properties of Materials
739(4)
V. Answers to Problems
743(22)
Index 765

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