Analysis of Structures : An Introduction Including Numerical Methods.
Title:
Analysis of Structures : An Introduction Including Numerical Methods.
Author:
Eisley, Joe G.
ISBN:
9781119993285
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (640 pages)
Contents:
ANALYSIS OF STRUCTURES -- Contents -- About the Authors -- Preface -- 1 Forces and Moments -- 1.1 Introduction -- 1.2 Units -- 1.3 Forces in Mechanics of Materials -- 1.4 Concentrated Forces -- 1.5 Moment of a Concentrated Force -- 1.6 Distributed Forces-Force and Moment Resultants -- 1.7 Internal Forces and Stresses-Stress Resultants -- 1.8 Restraint Forces and Restraint Force Resultants -- 1.9 Summary and Conclusions -- 2 Static Equilibrium -- 2.1 Introduction -- 2.2 Free Body Diagrams -- 2.3 Equilibrium-Concentrated Forces -- 2.3.1 Two Force Members and Pin Jointed Trusses -- 2.3.2 Slender Rigid Bars -- 2.3.3 Pulleys and Cables -- 2.3.4 Springs -- 2.4 Equilibrium-Distributed Forces -- 2.5 Equilibrium in Three Dimensions -- 2.6 Equilibrium-Internal Forces and Stresses -- 2.6.1 Equilibrium of Internal Forces in Three Dimensions -- 2.6.2 Equilibrium in Two Dimensions-Plane Stress -- 2.6.3 Equilibrium in One Dimension-Uniaxial Stress -- 2.7 Summary and Conclusions -- 3 Displacement, Strain, and Material Properties -- 3.1 Introduction -- 3.2 Displacement and Strain -- 3.2.1 Displacement -- 3.2.2 Strain -- 3.3 Compatibility -- 3.4 Linear Material Properties -- 3.4.1 Hooke's Law in One Dimension-Tension -- 3.4.2 Poisson's Ratio -- 3.4.3 Hooke's Law in One Dimension-Shear in Isotropic Materials -- 3.4.4 Hooke's Law in Two Dimensions for Isotropic Materials -- 3.4.5 Generalized Hooke's Law for Isotropic Materials -- 3.5 Some Simple Solutions for Stress, Strain, and Displacement -- 3.6 Thermal Strain -- 3.7 Engineering Materials -- 3.8 Fiber Reinforced Composite Laminates -- 3.8.1 Hooke's Law in Two Dimensions for a FRP Lamina -- 3.8.2 Properties of Unidirectional Lamina -- 3.9 Plan for the Following Chapters -- 3.10 Summary and Conclusions -- 4 Classical Analysis of the Axially Loaded Slender Bar -- 4.1 Introduction.
4.2 Solutions from the Theory of Elasticity -- 4.3 Derivation and Solution of the Governing Equations -- 4.4 The Statically Determinate Case -- 4.5 The Statically Indeterminate Case -- 4.6 Variable Cross Sections -- 4.7 Thermal Stress and Strain in an Axially Loaded Bar -- 4.8 Shearing Stress in an Axially Loaded Bar -- 4.9 Design of Axially Loaded Bars -- 4.10 Analysis and Design of Pin Jointed Trusses -- 4.11 Work and Energy-Castigliano's Second Theorem -- 4.12 Summary and Conclusions -- 5 A General Method for the Axially Loaded Slender Bar -- 5.1 Introduction -- 5.2 Nodes, Elements, Shape Functions, and the Element Stiffness Matrix -- 5.3 The Assembled Global Equations and Their Solution -- 5.4 A General Method-Distributed Applied Loads -- 5.5 Variable Cross Sections -- 5.6 Analysis and Design of Pin-jointed Trusses -- 5.7 Summary and Conclusions -- 6 Torsion -- 6.1 Introduction -- 6.2 Torsional Displacement, Strain, and Stress -- 6.3 Derivation and Solution of the Governing Equations -- 6.4 Solutions from the Theory of Elasticity -- 6.5 Torsional Stress in Thin Walled Cross Sections -- 6.6 Work and Energy-Torsional Stiffness in a Thin Walled Tube -- 6.7 Torsional Stress and Stiffness in Multicell Sections -- 6.8 Torsional Stress and Displacement in Thin Walled Open Sections -- 6.9 A General (Finite Element) Method -- 6.10 Continuously Variable Cross Sections -- 6.11 Summary and Conclusions -- 7 Classical Analysis of the Bending of Beams -- 7.1 Introduction -- 7.2 Area Properties-Sign Conventions -- 7.2.1 Area Properties -- 7.2.2 Sign Conventions -- 7.3 Derivation and Solution of the Governing Equations -- 7.4 The Statically Determinate Case -- 7.5 Work and Energy-Castigliano's Second Theorem -- 7.6 The Statically Indeterminate Case -- 7.7 Solutions from the Theory of Elasticity -- 7.8 Variable Cross Sections.
7.9 Shear Stress in Non Rectangular Cross Sections-Thin Walled Cross Sections -- 7.10 Design of Beams -- 7.11 Large Displacements -- 7.12 Summary and Conclusions -- 8 A General Method (FEM) for the Bending of Beams -- 8.1 Introduction -- 8.2 Nodes, Elements, Shape Functions, and the Element Stiffness Matrix -- 8.3 The Global Equations and their Solution -- 8.4 Distributed Loads in FEM -- 8.5 Variable Cross Sections -- 8.6 Summary and Conclusions -- 9 More about Stress and Strain, and Material Properties -- 9.1 Introduction -- 9.2 Transformation of Stress in Two Dimensions -- 9.3 Principal Axes and Principal Stresses in Two Dimensions -- 9.4 Transformation of Strain in Two Dimensions -- 9.5 Strain Rosettes -- 9.6 Stress Transformation and Principal Stresses in Three Dimensions -- 9.7 Allowable and Ultimate Stress, and Factors of Safety -- 9.8 Fatigue -- 9.9 Creep -- 9.10 Orthotropic Materials-Composites -- 9.11 Summary and Conclusions -- 10 Combined Loadings on Slender Bars-Thin Walled Cross Sections -- 10.1 Introduction -- 10.2 Review and Summary of Slender Bar Equations -- 10.2.1 Axial Loading -- 10.2.2 Torsional Loading -- 10.2.3 Bending in One Plane -- 10.3 Axial and Torsional Loads -- 10.4 Axial and Bending Loads-2D Frames -- 10.5 Bending in Two Planes -- 10.5.1 When Iyz is Equal to Zero -- 10.5.2 When Iyz is Not Equal to Zero -- 10.6 Bending and Torsion in Thin Walled Open Sections-Shear Center -- 10.7 Bending and Torsion in Thin Walled Closed Sections-Shear Center -- 10.8 Stiffened Thin Walled Beams -- 10.9 Summary and Conclusions -- 11 Work and Energy Methods-Virtual Work -- 11.1 Introduction -- 11.2 Introduction to the Principle of Virtual Work -- 11.3 Static Analysis of Slender Bars by Virtual Work -- 11.3.1 Axially Loading -- 11.3.2 Torsional Loading -- 11.3.3 Beams in Bending -- 11.3.4 Combined Axial, Torsional, and Bending Behavior.
11.4 Static Analysis of 3D and 2D Solids by Virtual Work -- 11.5 The Element Stiffness Matrix for Plane Stress -- 11.6 The Element Stiffness Matrix for 3D Solids -- 11.7 Summary and Conclusions -- 12 Structural Analysis in Two and Three Dimensions -- 12.1 Introduction -- 12.2 The Governing Equations in Two Dimensions-Plane Stress -- 12.3 Finite Elements and the Stiffness Matrix for Plane Stress -- 12.4 Thin Flat Plates-Classical Analysis -- 12.5 Thin Flat Plates-FEM Analysis -- 12.6 Shell Structures -- 12.7 Stiffened Shell Structures -- 12.8 Three Dimensional Structures-Classical and FEM Analysis -- 12.9 Summary and Conclusions -- 13 Analysis of Thin Laminated Composite Material Structures -- 13.1 Introduction to Classical Lamination Theory -- 13.2 Strain Displacement Equations for Laminates -- 13.3 Stress-Strain Relations for a Single Lamina -- 13.4 Stress Resultants for Laminates -- 13.5 CLT Constitutive Description -- 13.6 Determining Laminae Stress/Strains -- 13.7 Laminated Plates Subject to Transverse Loads -- 13.8 Summary and Conclusion -- 14 Buckling -- 14.1 Introduction -- 14.2 The Equations for a Beam with Combined Lateral and Axial Loading -- 14.3 Buckling of a Column -- 14.4 The Beam Column -- 14.5 The Finite Element Method for Bending and Buckling -- 14.6 Buckling of Frames -- 14.7 Buckling of Thin Plates and Other Structures -- 14.8 Summary and Conclusions -- 15 Structural Dynamics -- 15.1 Introduction -- 15.2 Dynamics of Mass/Spring Systems -- 15.2.1 Free Motion -- 15.2.2 Forced Motion-Resonance -- 15.2.3 Forced Motion-Response -- 15.3 Axial Vibration of a Slender Bar -- 15.3.1 Solutions Based on the Differential Equation -- 15.3.2 Solutions Based on FEM -- 15.4 Torsional Vibration -- 15.4.1 Torsional Mass/Spring Systems -- 15.4.2 Distributed Torsional Systems -- 15.5 Vibration of Beams in Bending.
15.5.1 Solutions of the Differential Equation -- 15.5.2 Solutions Based on FEM -- 15.6 The Finite Element Method for all Elastic Structures -- 15.7 Addition of Damping -- 15.8 Summary and Conclusions -- 16 Evolution in the (Intelligent) Design and Analysis of Structural Members -- 16.1 Introduction -- 16.2 Evolution of a Truss Member -- 16.2.1 Step 1. Slender Bar Analysis -- 16.2.2 Step 2. Rectangular Bar-Plane Stress FEM -- 16.2.3 Step 3. Rectangular Bar with Pin Holes-Plane Stress Analysis -- 16.2.4 Step 4. Rectangular Bar with Pin Holes-Solid Body Analysis -- 16.2.5 Step 5. Add Material Around the Hole-Solid Element Analysis -- 16.2.6 Step 6. Bosses Added-Solid Element Analysis -- 16.2.7 Step 7. Reducing the Weight-Solid Element Analysis -- 16.2.8 Step 8. Buckling Analysis -- 16.3 Evolution of a Plate with a Hole-Plane Stress -- 16.4 Materials in Design -- 16.5 Summary and Conclusions -- A Matrix Definitions and Operations -- A.1 Introduction -- A.2 Matrix Definitions -- A.3 Matrix Algebra -- A.4 Partitioned Matrices -- A.5 Differentiating and Integrating a Matrix -- A.6 Summary of Useful Matrix Relations -- B Area Properties of Cross Sections -- B.1 Introduction -- B.2 Centroids of Cross Sections -- B.3 Area Moments and Product of Inertia -- B.4 Properties of Common Cross Sections -- C Solving Sets of Linear Algebraic Equations with Mathematica -- C.1 Introduction -- C.2 Systems of Linear Algebraic Equations -- C.3 Solving Numerical Equations in Mathematica -- C.4 Solving Symbolic Equations in Mathematica -- C.5 Matrix Multiplication -- D Orthogonality of Normal Modes -- D.1 Introduction -- D.2 Proof of Orthogonality for Discrete Systems -- D.3 Proof of Orthogonality for Continuous Systems -- References -- Index.
Abstract:
Analysis of Structures offers an original way of introducing engineering students to the subject of stress and deformation analysis of solid objects, and helps them become more familiar with how numerical methods such as the finite element method are used in industry. Eisley and Waas secure for the reader a thorough understanding of the basic numerical skills and insight into interpreting the results these methods can generate. Throughout the text, they include analytical development alongside the computational equivalent, providing the student with the understanding that is necessary to interpret and use the solutions that are obtained using software based on the finite element method. They then extend these methods to the analysis of solid and structural components that are used in modern aerospace, mechanical and civil engineering applications. Analysis of Structures is accompanied by a book companion website www.wiley.com/go/waas housing exercises and examples that use modern software which generates color contour plots of deformation and internal stress.It offers invaluable guidance and understanding to senior level and graduate students studying courses in stress and deformation analysis as part of aerospace, mechanical and civil engineering degrees as well as to practicing engineers who want to re-train or re-engineer their set of analysis tools for contemporary stress and deformation analysis of solids and structures. Provides a fresh, practical perspective to the teaching of structural analysis using numerical methods for obtaining answers to real engineering applications Proposes a new way of introducing students to the subject of stress and deformation analysis of solid objects that are used in a wide variety of contemporary engineering applications Casts axial, torsional and bending deformations of thin walled objects in
a framework that is closely amenable to the methods by which modern stress analysis software operates.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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