Mechanics of Solids
1st Edition
Published on 31. March 1991
Book
Hardback
644 pages
978-0-632-02018-8 (ISBN)
Description
Mechanics of Solids emphasizes the development of analysis techniques from basic principles for a broad range of practical problems, including simple structures, pressure vessels, beams and shafts. Increased use of personal computers has revolutionized the way in which engineering problems are being solved and this is reflected in the way subjects such as mechanics of solids are taught. A unique feature of this book is the integration of numerical and computer techniques and programs for carrying out analyses, facilitating design, and solving the problems found at the end of each chapter. However, the underlying theory and traditional manual solution methods cannot be ignored and are presented prior to the introduction of computer techniques All programs featured in the book are in FORTRAN 77-the language most widely used by engineers and most portable between computers. All of the programs are suitable for PCs, minicomputers, or mainframes and are available on disk.
Another important feature of this book is its use of both traditional and SI units. Many examples through the text are worked in both sets of units. The data and results for every example are also shown in both types of units.
Mechanics of Solids is intended for use in a first course in mechanics of solids offered to undergraduates. An Instructor's Manual containing solutions to every problem in the book is available.
Another important feature of this book is its use of both traditional and SI units. Many examples through the text are worked in both sets of units. The data and results for every example are also shown in both types of units.
Mechanics of Solids is intended for use in a first course in mechanics of solids offered to undergraduates. An Instructor's Manual containing solutions to every problem in the book is available.
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Roger T. Fenner | J.N. Reddy
Mechanics of Solids and Structures
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06/2012
2nd Edition
CRC Press
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Content
Computer Programs. Preface. List of Symbols. INTRODUCTION. MODELING OF ENGINEERING SYSTEMS. REVIEW OF STATICS. Some Definitions. Laws of Motion. Free Body Diagrams. Conditions of Equilibrium. Examples. CONCEPTS OF STRESS AND STRAIN. Definition of Stress. Normal and Shear Stresses. Stress Concentrations. Allowable Stresses. Definitions of Strain. INFLUENCE OF MATERIAL PROPERTIES. PRINCIPLES OF MECHANICS OF SOLIDS. USE OF COMPUTERS. Problems. STATICALLY DETERMINATE SYSTEMS. PIN-JOINTED STRUCTURES. Equilibrium Analysis of Plane Pin-Jointed Structures. Method of Sections for Plane Pin-Jointed Structures. A Computer Method for Plane Pin-Jointed Structures. Analysis of Space Frames. UNIFORMLY LOADED THIN SHELLS. Pressurized Thin-Walled Cylinder. Pressurized Thin-Walled Sphere. Thin Rotating Ring or Cylinder. FLEXIBLE CABLES. Simplified Analysis for Cables with Small Dip. Introduction to Catenaries. Problems. RELATIONSHIPS BETWEEN STRESS AND STRAIN. HYDROSTATIC STRESS AND VOLUMETRIC STRAIN. ELASTIC STRESS-STRAIN EQUATIONS. Normal Loading. Shear Loading. Hydrostatic Loading. Relationships Between the Elastic Constants. Thermal Strains. OTHER STRESS-STRAIN RELATIONSHIPS. DEFORMATIONS OF STATICALLY DETERMINATE SYSTEMS. Pin-Jointed Structures. Pressurized Thin-Walled Cylinder. Pressurized Thin-Walled Sphere. Problems. STATICALLY INDETERMINATE SYSTEMS. PIN-JOINTED STRUCTURES. Finite Element Analysis. Computer Program. Practical Applications. Design of Pin-Jointed Structures. OTHER STATICALLY INDETERMINATE SYSTEMS. Some Typical Problems. Liquid-Filled Thin-Walled Vessels. Resisted Thermal Expansion. Problems. BENDING OF BEAMS-MOMENTS, FORCES AND STRESSES. SOME PRACTICAL EXAMPLES OF BEAMS. Types of Supports for Beams. Types of Loads on Beams. SHEAR FORCES AND BENDING MOMENTS IN BEAMS. Definition of Shear Force and Bending Moment. Relationships Between Distributed Lateral Force, Shear Force and Bending Moment. Computer Method for Shear Force and Bending Moment Distributions. STRESSES DUE TO BENDING. Normal Stresses Due to Bending. Shear Stresses Due to Bending. Beams of Various Cross Sections. Unsymmetrical Bending. Reinforcement of Beams. Composite Beams. Bending of Initially Curved Beams. COMBINED BENDING AND AXIAL LOADS. Problems. BENDING OF BEAMS-DEFLECTIONS. RELATIONSHIP BETWEEN CURVATURE AND BENDING MOMENT. DEFLECTION OF STATICALLY DETERMINATE BEAMS. Solutions for Some Simple Cases. Use of Step Functions. Solution By Superposition. Beams of Varying Cross Section. DEFLECTION OF STATICALLY INDETERMINATE BEAMS. COMPUTER METHOD FOR BEAM DEFLECTIONS. Finite Element Analysis. Computer Program. Practical Applications. Problems. TORSION. TORSION OF SHAFTS. Torsion of Thin-Walled Cylinders. Torsion of Solid Circular Shafts. Torsion of Hollow Circular Shafts. Shafts of Non-Circular Cross Section. STATICALLY DETERMINATE TORSION PROBLEMS. STATICALLY INDETERMINATE TORSION PROBLEMS. COMBINED BENDING AND TORSION. Problems. INSTABILITY AND THE BUCKLING OF STRUTS AND COLUMNS. STABLE, NEUTRAL AND UNSTABLE EQUILIBRIUM. BUCKLING OF PIN-ENDED STRUTS. The Perfect Pin-Ended Strut. Eccentrically Loaded Struts. Initially Curved Struts. Effects of Lateral Loading. STRUTS AND COLUMNS WITH OTHER END CONDITIONS. Column with Ends Built-In and Free. Column with Both Ends Built-In. Column with Ends Built-In and Pinned. More General Cases of Column Buckling. Failure of Real Struts and Columns. Problems. TRANSFORMATIONS OF STRESS AND STRAIN. TRANSFORMATION OF STRESS. Notation for Stresses. Plane Stress. Principal Stresses and Maximum Shear Stresses. Mohr's Circle for Plane Stress. Principal Stresses and Maximum Shear Stresses in a Three-Dimensional State of Stress. TRANSFORMATION OF STRAIN. Notation for Strains. Plane Strain. Principal Strains and Maximum Shear Strains. Relationship Between Young's Modulus and Shear Modulus. Mohr's Circle for Plane Strain. Use of Strain Gages. COMPUTER METHOD FOR STRESSES AND STRAINS AT A POINT. YIELD AND FRACTURE CRITERIA. Yield Criteria for Ductile Materials. Failure Criteria for Brittle Materials. Examples. Problems. EQUILIBRIUM AND COMPATIBILITY EQUATIONS: APPLICATIONS TO BEAMS AND THICK-WALLED CYLINDERS. STRESS EQUILIBRIUM EQUATIONS. Equilibrium Equations in Cartesian Coordinates. Equilibrium Equation in Polar Coordinates for Axial Symmetry. STRAIN COMPATIBILITY EQUATIONS. Definitions of Strains in Terms of Displacements. Compatibility Equation in Cartesion Coordinates. Compatibility Equation in Polar Coordinates for Axial Symmetry. APPLICATION TO BEAM BENDING. Pure Bending. Cantilever with a Concentrated End Force. Simply Supported Beam with a Distributed Force. APPLICATION TO THICK-WALLED CYLINDERS AND DISKS. Internally Pressurized Thick-Walled Cylinder. Compound Cylinders. Rotating Disks. Problems. APPENDICES. Appendix A: Properties of Materials. Appendix B: Solution of Linear Equations by Gaussian Elimination. Appendix C: Moments of Area. Appendix D: Deflections and Slopes for Some Common Cases of the Bending of Uniform Beams. Appendix E: Solution of Nonlinear Algebraic Equations. INDEX. ANSWERS TO EVEN-NUMBERED PROBLEMS.