Mechanics of Materials, Enhanced, SI Edition
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Develop a thorough understanding of the mechanics of materials – an area essential for success in mechanical, civil and structural engineering -- with the analytical approach and problem-solving emphasis found in Goodno/Gere’s leading MECHANICS OF MATERIALS, Enhanced, SI, 9th Edition. This book focuses on the analysis and design of structural members subjected to tension, compression, torsion and bending.
This ENHANCED EDITION guides you through a proven four-step problem-solving approach for systematically analyzing, dissecting and solving structure design problems and evaluating solutions. Memorable examples, helpful photographs and detailed diagrams and explanations demonstrate reactive and internal forces as well as resulting deformations. You gain the important foundation you need to pursue further study as you practice your skills and prepare for the FE exam.
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- Cengage Learning US
- 9798214352657
- 9780357377857
- ePub
- 9
- Barry Goodno
- English
- 2020-01-01
- 100
Kaflar
- Cover Page
- Title Page
- Copyright Page
- About the Authors
- Preface
- Acknowledgments
- Preface to the SI Edition
- Symbols
- Chapter 1. Tension, Compression, and Shear
- 1.1. Introduction to Mechanics of Materials
- 1.2. Problem-Solving Approach
- 1.3. Statics Review
- Equilibrium Equations
- Applied Forces
- Free-Body Diagrams
- Reactive Forces and Support Conditions
- Internal Forces (Stress Resultants)
- 1.4. Normal Stress and Strain
- Limitations
- Normal Strain
- Uniaxial Stress and Strain
- Line of Action of the Axial Forces for a Uniform Stress Distribution
- 1.5. Mechanical Properties of Materials
- Stress-Strain Diagrams
- Compression
- Tables of Mechanical Properties
- 1.6. Elasticity, Plasticity, and Creep
- Reloading of a Material
- Creep
- 1.7. Linear Elasticity, Hooke’s Law, and Poisson’s Ratio
- Hooke’s Law
- Poisson’s Ratio
- Limitations
- 1.8. Shear Stress and Strain
- Equality of Shear Stresses on Perpendicular Planes
- Shear Strain
- Sign Conventions for Shear Stresses and Strains
- Hooke’s Law in Shear
- 1.9. Allowable Stresses and Allowable Loads
- Factors of Safety
- Allowable Stresses
- Allowable Loads
- 1.10. Design For Axial Loads and Direct Shear
- Chapter Summary and Review
- Problems
- Chapter 2. Axially Loaded Members
- 2.1. Introduction
- 2.2. Changes in Lengths of Axially Loaded Members
- Springs
- Prismatic Bars
- Cables
- 2.3. Changes in Lengths under Nonuniform Conditions
- Bars with Intermediate Axial Loads
- Bars Consisting of Prismatic Segments
- Bars with Continuously Varying Loads or Dimensions
- Limitations
- Axial Displacement Diagram (ADD)
- 2.4. Statically Indeterminate Structures
- General Comments
- 2.5. Thermal Effects, Misfits, and Prestrains
- Thermal Effects
- Misfits and Prestrains
- Bolts and Turnbuckles
- 2.6. Stresses on Inclined Sections
- Stress Elements
- Stresses on Inclined Sections
- Maximum Normal and Shear Stresses
- Uniaxial Stress
- 2.7. Strain Energy
- Elastic and Inelastic Strain Energy
- Linearly Elastic Behavior
- Nonuniform Bars
- Comments
- Displacements Caused by a Single Load
- Strain-Energy Density
- 2.8. Impact Loading
- Maximum Elongation of the Bar
- Maximum Stress in the Bar
- Impact Factor
- Suddenly Applied Load
- Limitations
- 2.9. Repeated Loading and Fatigue
- 2.10. Stress Concentrations
- Saint-Venant’s Principle
- Stress-Concentration Factors
- Designing for Stress Concentrations
- 2.11. Nonlinear Behavior
- Nonlinear Stress-Strain Curves
- Changes in Lengths of Bars
- Ramberg-Osgood Stress-Strain Law
- Statically Indeterminate Structures
- 2.12. Elastoplastic Analysis
- Statically Indeterminate Structures
- General Comments
- Chapter Summary and Review
- Problems
- Chapter 3. Torsion
- 3.1. Introduction
- 3.2. Torsional Deformations of a Circular Bar
- Shear Strains at the Outer Surface
- Shear Strains within the Bar
- Circular Tubes
- 3.3. Circular Bars of Linearly Elastic Materials
- The Torsion Formula
- Angle of Twist
- Circular Tubes
- Limitations
- 3.4. Nonuniform Torsion
- Limitations
- Torsional Displacement Diagram (TDD)
- 3.5. Stresses and Strains in Pure Shear
- Stresses on Inclined Planes
- Strains in Pure Shear
- 3.6. Relationship Between Moduli of Elasticity E and G
- 3.7. Transmission of Power by Circular Shafts
- 3.8. Statically Indeterminate Torsional Members
- 3.9. Strain Energy in Torsion and Pure Shear
- Nonuniform Torsion
- Limitations
- Strain-Energy Density in Pure Shear
- 3.10. Torsion of Noncircular Prismatic Shafts
- Shear Stress Distribution and Angle of Twist
- Elliptical, Triangular, and Rectangular Cross Sections
- Thin-Walled Open Cross Sections: I-beam, Angle, Channel, and Z-shape
- 3.11. Thin-Walled Tubes
- Shear Stresses and Shear Flow
- Torsion Formula for Thin-Walled Tubes
- Strain Energy and Torsion Constant
- Angle of Twist
- Limitations
- 3.12. Stress Concentrations in Torsion
- Chapter Summary and Review
- Problems
- Chapter 4. Shear Forces and Bending Moments
- 4.1. Introduction
- 4.2. Types of Beams, Loads, and Reactions
- Types of Loads
- Reactions
- Internal Releases
- 4.3. Shear Forces and Bending Moments
- Sign Conventions
- 4.4. Relationships Among Loads, Shear Forces, and Bending Moments
- Distributed Loads (Fig. 4-29a)
- Concentrated Loads (Fig. 4-29b)
- Loads in the Form of Couples (Fig. 4-29c)
- 4.5. Shear-Force and Bending-Moment Diagrams
- Concentrated Load
- Uniform Load
- Several Concentrated Loads
- General Comments
- Chapter Summary and Review
- Problems
- Chapter 5. Stresses in Beams (Basic Topics)
- 5.1. Introduction
- 5.2. Pure Bending and Nonuniform Bending
- 5.3. Curvature of a Beam
- 5.4. Longitudinal Strains in Beams
- 5.5. Normal Stresses in Beams (Linearly Elastic Materials)
- Location of Neutral Axis
- Moment-Curvature Relationship
- Flexure Formula
- Maximum Stresses at a Cross Section
- Doubly Symmetric Shapes
- Properties of Beam Cross Sections
- Limitations
- 5.6. Design of Beams for Bending Stresses
- Beams of Standardized Shapes and Sizes
- Relative Efficiency of Various Beam Shapes
- 5.7. Nonprismatic Beams
- Fully Stressed Beams
- 5.8. Shear Stresses in Beams of Rectangular Cross Section
- Vertical and Horizontal Shear Stresses
- Derivation of Shear Formula
- Calculation of the First Moment Q
- Distribution of Shear Stresses in a Rectangular Beam
- Limitations
- Effects of Shear Strains
- 5.9. Shear Stresses in Beams of Circular Cross Section
- 5.10. Shear Stresses in the Webs of Beams with Flanges
- Shear Stresses in the Web
- Maximum and Minimum Shear Stresses
- Shear Force in the Web
- Limitations
- 5.11. Built-Up Beams and Shear Flow
- Shear Flow
- Areas Used when Calculating the First Moment Q
- 5.12. Beams with Axial Loads
- Eccentric Axial Loads
- Limitations
- 5.13. Stress Concentrations in Bending
- Chapter Summary and Review
- Problems
- Chapter 6. Stresses in Beams (Advanced Topics)
- 6.1. Introduction
- 6.2. Composite Beams
- Strains and Stresses
- Neutral Axis
- Moment-Curvature Relationship
- Normal Stresses (Flexure Formulas)
- Approximate Theory for Bending of Sandwich Beams
- Limitations
- 6.3. Transformed-Section Method
- Neutral Axis and Transformed Section
- Moment-Curvature Relationship
- Normal Stresses
- General Comments
- 6.4. Doubly Symmetric Beams with Inclined Loads
- Sign Conventions for Bending Moments
- Normal Stresses (Bending Stresses)
- Neutral Axis
- Relationship Between the Neutral Axis and the Inclination of the Loads
- 6.5. Bending of Unsymmetric Beams
- Neutral Axis
- Procedure for Analyzing an Unsymmetric Beam
- Alternate Procedure for Analyzing an Unsymmetric Beam
- 6.6. The Shear-Center Concept
- 6.7. Shear Stresses in Beams of Thin-Walled Open Cross Sections
- 6.8. Shear Stresses in Wide-Flange Beams
- Shear Stresses in the Upper Flange
- Shear Stresses in the Web
- Shear Stresses in the Lower Flange
- General Comments
- 6.9. Shear Centers of Thin-Walled Open Sections
- Channel Section
- Angle Section
- Sections Consisting of Two Intersecting Narrow Rectangles
- Z-Section
- 6.10. Elastoplastic Bending
- Yield Moment
- Plastic Moment and Neutral Axis
- Plastic Modulus and Shape Factor
- Beams of Rectangular Cross Section
- Beams of Wide-Flange Shape
- Chapter Summary and Review
- Problems
- Chapter 7. Analysis of Stress and Strain
- 7.1. Introduction
- 7.2. Plane Stress
- Stresses on Inclined Sections
- Transformation Equations for Plane Stress
- Special Cases of Plane Stress
- 7.3. Principal Stresses and Maximum Shear Stresses
- Principal Stresses
- Principal Angles
- Shear Stresses on the Principal Planes
- Special Cases
- The Third Principal Stress
- Maximum Shear Stresses
- In-Plane and Out-of-Plane Shear Stresses
- 7.4. Mohr’s Circle for Plane Stress
- Equations of Mohr’s Circle
- Two Forms of Mohr’s Circle
- Construction of Mohr’s Circle
- Stresses on an Inclined Element
- Principal Stresses
- Maximum Shear Stresses
- Alternative Sign Convention for Shear Stresses
- General Comments about the Circle
- 7.5. Hooke’s Law for Plane Stress
- Special Cases of Hooke’s Law
- Volume Change
- Strain-Energy Density in Plane Stress
- 7.6. Triaxial Stress
- Maximum Shear Stresses
- Hooke’s Law for Triaxial Stress
- Unit Volume Change
- Strain-Energy Density
- Spherical Stress
- 7.7. Plane Strain
- Plane Strain versus Plane Stress
- Application of the Transformation Equations
- Transformation Equations for Plane Strain
- Principal Strains
- Maximum Shear Strains
- Mohr’s Circle for Plane Strain
- Strain Measurements
- Calculation of Stresses from the Strains
- Chapter Summary and Review
- Problems
- Chapter 8. Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings)
- 8.1. Introduction
- 8.2. Spherical Pressure Vessels
- Stresses at the Outer Surface
- Stresses at the Inner Surface
- General Comments
- 8.3. Cylindrical Pressure Vessels
- Circumferential Stress
- Longitudinal Stress
- Stresses at the Outer Surface
- Stresses at the Inner Surface
- General Comments
- 8.4. Maximum Stresses in Beams
- Beams of Rectangular Cross Section
- Wide-Flange Beams
- 8.5. Combined Loadings
- Method of Analysis
- Illustration of the Method
- Selection of Critical Points
- Chapter Summary and Review
- Problems
- Chapter 9. Deflections of Beams
- 9.1. Introduction
- 9.2. Differential Equations of the Deflection Curve
- Beams with Small Angles of Rotation
- Nonprismatic Beams
- Prismatic Beams
- Exact Expression for Curvature
- 9.3. Deflections by Integration of the Bending-Moment Equation
- 9.4. Deflections by Integration of the Shear-Force and Load Equations
- 9.5. Method of Superposition
- Tables of Beam Deflections
- Distributed Loads
- Principle of Superposition
- 9.6. Moment-Area Method
- First Moment-Area Theorem
- Second Moment-Area Theorem
- 9.7. Nonprismatic Beams
- 9.8. Strain Energy of Bending
- Deflections Caused by a Single Load
- 9.9. Castigliano’s Theorem
- Derivation of Castigliano’s Theorem
- Application of Castigliano’s Theorem
- Use of a Fictitious Load
- Differentiation Under the Integral Sign
- 9.10. Deflections Produced by Impact
- 9.11. Temperature Effects
- Chapter Summary and Review
- Problems
- Chapter 10. Statically Indeterminate Beams
- 10.1. Introduction
- 10.2. Types of Statically Indeterminate Beams
- 10.3. Analysis by the Differential Equations of the Deflection Curve
- 10.4. Method of Superposition
- Analysis with R B as Redundant
- Analysis with M A as Redundant
- General Comments
- 10.5. Temperature Effects
- Method of Superposition
- Differential Equation of the Deflection Curve
- 10.6. Longitudinal Displacements at the Ends of a Beam
- Curvature Shortening
- Horizontal Reactions
- General Comments
- Chapter Summary and Review
- Problems
- Chapter 11. Columns
- 11.1. Introduction
- 11.2. Buckling and Stability
- Critical Load
- Summary
- 11.3. Columns with Pinned Ends
- Differential Equation for Column Buckling
- Solution of the Differential Equation
- Critical Loads
- General Comments
- Critical Stress
- Effects of Large Deflections, Imperfections, and Inelastic Behavior
- Optimum Shapes of Columns
- 11.4. Columns with Other Support Conditions
- Column Fixed at the Base and Free at the Top
- Effective Lengths of Columns
- Column with Both Ends Fixed Against Rotation
- Column Fixed at the Base and Pinned at the Top
- Limitations
- Summary of Results
- 11.5. Columns with Eccentric Axial Loads
- Maximum Deflection
- Maximum Bending Moment
- Other End Conditions
- 11.6. The Secant Formula for Columns
- Discussion of the Secant Formula
- 11.7. Elastic and Inelastic Column Behavior
- 11.8. Inelastic Buckling
- Tangent-Modulus Theory
- Reduced-Modulus Theory
- Shanley Theory
- Chapter Summary and Review
- Problems
- Appendix A. Systems of Units and Conversion Factors
- Appendix B. Problem Solving
- Appendix C. Mathematical Formulas
- Appendix D. Review of Centroids and Moments of Inertia
- Appendix E. Properties of Plane Areas
- Appendix F. Properties of Structural-Steel Shapes
- Appendix G. Properties of Structural Timber
- Appendix H. Deflections and Slopes of Beams
- Appendix I. Properties of Materials