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A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics.
Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano's Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems.
Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.
"Each topic is introduced in a careful and systematic manner, developing complexity gently, so that it nurtures and develops a joy for structural systems and the contemporary tools used to solve structural engineering challenges." -Professor Feargal Brennan, Cranfield University
| List of Symbols | p. xiii |
| List of Computer Programs | p. xv |
| Preface (to the second edition) | p. xvii |
| Preface (to the first edition) | p. xix |
| Introduction | p. 1 |
| Modeling of engineering systems | p. 2 |
| Review of statics | p. 4 |
| Some definitions and concepts | p. 4 |
| Laws of motion | p. 5 |
| Free body diagrams | p. 6 |
| Conditions of equilibrium | p. 8 |
| Examples | p. 9 |
| Concepts of stress and strain | p. 17 |
| Definition of stress | p. 17 |
| Normal and shear stresses | p. 19 |
| Stress concentrations | p. 24 |
| Allowable stresses | p. 26 |
| Definitions of strain | p. 28 |
| Influence of material properties | p. 30 |
| Principles of mechanics of solids | p. 33 |
| Use of numerical methods and computers | p. 35 |
| Problems | p. 36 |
| Statically Determinate Systems | p. 45 |
| Pin-jointed structures | p. 45 |
| Equilibrium analysis of plane pin-jointed structures | p. 49 |
| Method of sections for plane pin-jointed structures | p. 61 |
| A computer program for plane pin-jointed structures | p. 62 |
| Analysis of space frames | p. 72 |
| Uniformly loaded thin shells | p. 73 |
| Pressurized thin-walled cylinder | p. 73 |
| Pressurized thin-walled sphere | p. 81 |
| Thin rotating ring or cylinder | p. 84 |
| Flexible cables | p. 86 |
| Simplified analysis for cables with small dip | p. 86 |
| Problems | p. 96 |
| Relationships between Stress and Strain | p. 103 |
| Hydrostatic stress and volumetric strain | p. 103 |
| Elastic stress-strain equations | p. 106 |
| Normal loading | p. 106 |
| Shear loading | p. 112 |
| Hydrostatic loading | p. 112 |
| Relationships between the elastic constants | p. 113 |
| Thermal strains | p. 116 |
| Other stress-strain relationships | p. 120 |
| Deformations of statically determinate systems | p. 122 |
| Pin-jointed structures | p. 122 |
| Pressurized thin-walled cylinder | p. 126 |
| Pressurized thin-walled sphere | p. 131 |
| Problems | p. 135 |
| Statically Indeterminate Systems | p. 139 |
| Pin-jointed structures | p. 139 |
| Finite element analysis | p. 140 |
| Computer program | p. 149 |
| Practical applications | p. 152 |
| Design of pin-jointed structures | p. 163 |
| Other statically indeterminate systems | p. 164 |
| Example problems | p. 164 |
| Liquid-filled thin-walled vessels | p. 173 |
| Resisted thermal expansion | p. 176 |
| Problems | p. 183 |
| Bending of Beams: Moments, Forces, and Stresses | p. 193 |
| Some practical examples of beams | p. 193 |
| Types of supports for beams | p. 195 |
| Types of loads on beams | p. 199 |
| Shear forces and bending moments in beams | p. 202 |
| Definition of shear force and bending moment | p. 202 |
| Relationships between distributed lateral force, shear force, and bending moment | p. 213 |
| Computer method for shear force and bending moment distributions | p. 231 |
| Stresses due to bending | p. 247 |
| Normal stresses due to bending | p. 247 |
| Shear stresses due to bending | p. 256 |
| Beams of various cross sections | p. 262 |
| Unsymmetrical bending | p. 271 |
| Reinforcement of beams | p. 274 |
| Composite beams | p. 278 |
| Bending of initially curved beams | p. 288 |
| Combined bending and axial loads | p. 290 |
| Problems | p. 296 |
| Bending of Beams: Deflections | p. 309 |
| Relationship between curvature and bending moment | p. 310 |
| Deflection of statically determinate beams | p. 313 |
| Solutions for some simple cases | p. 313 |
| Use of step functions | p. 323 |
| Solution by superposition | p. 336 |
| Beams of varying cross section | p. 338 |
| Deflection of statically indeterminate beams | p. 341 |
| Computer method for beam deflections | p. 351 |
| Finite element analysis | p. 351 |
| Computer program | p. 359 |
| Practical applications | p. 363 |
| Problems | p. 372 |
| Torsion | p. 379 |
| Torsion of shafts | p. 380 |
| Torsion of thin-walled cylinders | p. 380 |
| Torsion of solid circular shafts | p. 384 |
| Torsion of hollow circular shafts | p. 390 |
| Nonuniform circular shafts | p. 393 |
| Shafts of noncircular cross section | p. 397 |
| Statically determinate torsion problems | p. 397 |
| Statically indeterminate torsion problems | p. 403 |
| Combined bending and torsion | p. 410 |
| Problems | p. 413 |
| Instability and the Buckling of Struts and Columns | p. 421 |
| Stable, neutral, and unstable equilibrium | p. 423 |
| Buckling of pin-ended struts | p. 428 |
| The perfect pin-ended strut | p. 428 |
| Eccentrically loaded struts | p. 432 |
| Initially curved struts | p. 437 |
| Effects of lateral loading | p. 439 |
| Struts and columns with other end conditions | p. 442 |
| Column with ends fixed and free | p. 443 |
| Column with both ends fixed | p. 445 |
| Column with ends fixed and pinned | p. 447 |
| More general cases of column buckling | p. 450 |
| Failure of real struts and columns | p. 453 |
| Problems | p. 458 |
| Transformations of Stress and Strain | p. 465 |
| Transformation of stress | p. 467 |
| Notation for stresses | p. 467 |
| Plane stress | p. 470 |
| Principal stresses and maximum shear stresses | p. 476 |
| Mohr's circle for plane stress | p. 482 |
| Principal stresses and maximum shear stresses in a three-dimensional state of stress | p. 485 |
| Transformation of strain | p. 489 |
| Notation for strains | p. 489 |
| Plane strain | p. 491 |
| Principal strains and maximum shear strains | p. 496 |
| Relationship between Young's modulus and shear modulus | p. 497 |
| Mohr's circle for plane strain | p. 499 |
| Use of strain gages | p. 500 |
| Computer method for stresses and strains at a point | p. 506 |
| Yield and fracture criteria | p. 508 |
| Yield criteria for ductile materials | p. 509 |
| Failure criteria for brittle materials | p. 514 |
| Examples | p. 516 |
| Problems | p. 521 |
| Equilibrium and Compatibility Equations: Beams and Thick-Walled Cylinders | p. 529 |
| Stress equilibrium equations | p. 529 |
| Equilibrium equations in Cartesian coordinates | p. 529 |
| Equilibrium equation in polar coordinates for axial symmetry | p. 531 |
| Strain compatibility equations | p. 533 |
| Definitions of strains in terms of displacements | p. 534 |
| Compatibility equation in Cartesian coordinates | p. 537 |
| Compatibility equation in polar coordinates for axial symmetry | p. 538 |
| Application to beam bending | p. 538 |
| Pure bending | p. 538 |
| Cantilever with a concentrated end force | p. 543 |
| Simply supported beam with a distributed force | p. 549 |
| Application to thick-walled-cylinders and disks | p. 554 |
| Internally pressurized thick-walled cylinder | p. 555 |
| Compound cylinders | p. 562 |
| Rotating disks | p. 572 |
| Problems | p. 577 |
| Energy Methods of Structural Mechanics | p. 583 |
| Introduction | p. 583 |
| Concepts of work and energy | p. 584 |
| Strain energy and complementary strain energy | p. 588 |
| Virtual work and complementary virtual work | p. 598 |
| Preliminary comments | p. 598 |
| Internal and external virtual work | p. 599 |
| Variational operator and fundamental lemma | p. 604 |
| The principle of virtual displacements and its special cases | p. 607 |
| The principle of virtual displacements | p. 607 |
| The principle of minimum total potential energy | p. 609 |
| Castigliano's Theorem I | p. 612 |
| The principle of virtual forces and its special cases | p. 620 |
| The principle of complementary virtual work | p. 620 |
| The principle of minimum complementary energy and Castigliano's Theorem II | p. 622 |
| Problems | p. 632 |
| Appendices | p. 637 |
| Properties of Materials | p. 637 |
| Density, elastic, and thermal-properties | p. 637 |
| Strength properties | p. 639 |
| Conversion factors between SI metric and US customary units | p. 640 |
| Moments of Area | p. 640 |
| First moment of area | p. 640 |
| Second moment of area | p. 645 |
| Parallel axis theorem | p. 646 |
| Perpendicular axis theorem | p. 648 |
| Properties of some simple shapes | p. 649 |
| Deflections and Slopes for Some Common Cases of the Bending of Beams | p. 649 |
| Cantilevers | p. 651 |
| Simply supported beams | p. 652 |
| Built-in beams | p. 653 |
| Answers to Even-Numbered Problems | p. 655 |
| Index | p. 665 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9781439858141
ISBN-10: 1439858144
Series: Computational Mechanics and Applied Analysis
Audience:
Tertiary; University or College
Format:
Hardcover
Language:
English
Number Of Pages: 705
Published: 28th May 2012
Dimensions (cm): 25.4 x 17.8
x 2.9
Weight (kg): 1.63
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