Mechanics of Materials, SI Version, 5ed (An Indian Adaptation)
ISBN: 9789354643293
Description
Mechanics of Materials presents the theory and practice of mechanics of materials in a straightforward, student-friendly manner that addresses the learning styles of today's students without sacrificing rigor or depth in the presentation of topics. From basic concepts of stress and strain to more advanced topics like beam deflections and combined loads, this book provides students with everything they need to embark on successful careers in materials and mechanical engineering. Laying an emphasis on critical thinking forms, this text focuses on helping learners develop practical skills, encouraging them to recognize fundamental concepts relevant to specific situations, identify equations needed to solve problems, and engage with literature in the field.
1 Stress
1.1 Introduction
1.2 Normal Stress Under Axial Loading
1.3 Direct Shear Stress
1.4 Bearing Stress
1.5 Stresses on Inclined Sections
1.6 Equality of Shear Stresses on Perpendicular Planes
2 Strain
2.1 Displacement, Deformation, and the Concept of Strain
2.2 Normal Strain
2.4 Thermal Strain
3 Mechanical Properties of Materials
3.1 The Tension Test
3.2 The Stress–Strain Diagram
3.3 Hooke’s Law
3.4 Poisson’s Ratio
4 Design Concepts
4.1 Introduction
4.2 Types of Loads
4.3 Safety
4.4 Allowable Stress Design
4.5 Load and Resistance Factor Design
5 Axial Deformation
5.1 Introduction
5.2 Saint-Venant’s Principle
5.3 Deformations in Axially Loaded Bars
5.4 Deformations in a System of Axially Loaded Bars
5.5 Statically Indeterminate Axially Loaded Members
5.6 Thermal Effects on Axial Deformation
5.7 Stress Concentrations
6 Torsion
6.1 Introduction
6.2 Torsional Shear Strain
6.3 Torsional Shear Stress
6.4 Stresses on Oblique Planes
6.5 Torsional Deformations
6.6 Torsion Sign Conventions
6.7 Gears in Torsion Assemblies
6.8 Power Transmission
6.9 Statically Indeterminate Torsion Members
6.10 Stress Concentrations in Circular Shafts Under Torsional Loadings
6.11 Torsion of Noncircular Sections
6.12 Torsion of Thin-Walled Tubes: Shear Flow
7 Equilibrium of Beams
7.1 Introduction
7.2 Shear and Moment in Beams
7.3 Graphical Method for Constructing Shear and Moment Diagrams
7.4 Discontinuity Functions to Represent Load, Shear, and Moment
8 Bending
8.1 Introduction
8.2 Flexural Strains
8.3 Normal Stresses in Beams
8.4 Analysis of Bending Stresses in Beams
8.5 Introductory Beam Design for Strength
8.6 Flexural Stresses in Beams of Two Materials
8.7 Bending Due to an Eccentric Axial Load
8.8 Unsymmetric Bending
8.9 Stress Concentrations Under Flexural Loadings
8.10 Bending of Curved Bars
9 Shear Stress in Beams
9.1 Introduction
9.2 Resultant Forces Produced by Bending Stresses
9.3 The Shear Stress Formula
9.4 The First Moment of Area, Q
9.5 Shear Stresses in Beams of Rectangular Cross Section
9.6 Shear Stresses in Beams of Circular Cross Section
9.7 Shear Stresses in Beams of Triangular Cross Section
9.8 Shear Stresses in Webs of Flanged Beams
9.9 Shear Flow in Built-Up Members
9.10 Shear Stress and Shear Flow in Thin-Walled Members
9.11 Shear Centers of Thin-Walled Open Sections
10 Beam Deflections
10.1 Introduction
10.2 Moment–Curvature Relationship
10.3 The Differential Equation of the Elastic Curve
10.4 Determining Deflections by Integration of a Moment Equation
10.5 Determining Deflections by Integration of Shear-Force or Load Equations
10.6 Determining Deflections by Using Discontinuity Functions
10.7 Determining Deflections by the Method of Superposition
10.8 Determining Deflection by Using Moment Area Method
10.9 Determining Deflections by Using Conjugate Beam Method
11 Statically Indeterminate Beams
11.1 Introduction
11.2 Types of Statically Indeterminate Beams
11.3 The Integration Method
11.4 Use of Discontinuity Functions for Statically Indeterminate Beams
11.5 The Superposition Method
12 Stress Transformations
12.1 Introduction
12.2 Stress at a General Point in an Arbitrarily Loaded Body
12.3 Equilibrium of the Stress Element
12.4 Plane Stress
12.5 Generating the Stress Element
12.6 Equilibrium Method for Plane Stress Transformations
12.7 General Equations of Plane Stress Transformation
12.8 Principal Stresses and Maximum Shear Stress
12.9 Presentation of Stress Transformation Results
12.10 Mohr’s Circle for Plane Stress
12.11 General State of Stress at a Point
13 Strain Transformations
13.1 Introduction
13.2 Plane Strain
13.3 Transformation Equations for Plane Strain
13.4 Principal Strains and Maximum Shearing Strain
13.5 Presentation of Strain Transformation Results
13.6 Mohr’s Circle for Plane Strain
13.7 Strain Measurement and Strain Rosettes
14 Pressure Vessels
14.1 Introduction
14.2 Thin-Walled Spherical Pressure Vessels
14.3 Thin-Walled Cylindrical Pressure Vessels
14.4 Strains in Thin-Walled Pressure Vessels
14.5 Stresses in Thick-Walled Cylinders
14.6 Deformations in Thick-Walled Cylinders
14.7 Interference Fits
15 Combined Loads
15.1 Introduction
15.2 Combined Axial and Torsional Loads
15.3 Principal Stresses in a Flexural Member
15.4 General Combined Loadings
15.5 Theories of Failure
16 Columns
16.1 Introduction
16.2 Buckling of Pin-Ended Columns
16.3 The Effect of End Conditions on Column Buckling
16.4 The Secant Formula
16.5 Empirical Column Formulas—Centric Loading
16.6 Eccentrically Loaded Columns
17 Energy Methods
17.1 Introduction
17.2 Work and Strain Energy
17.3 Elastic Strain Energy for Axial Deformation
17.4 Elastic Strain Energy for Torsional Deformation
17.5 Elastic Strain Energy for Flexural Deformation
17.6 Impact Loading
17.7 Work–Energy Method for Single Loads
17.8 Method of Virtual Work
17.9 Deflections of Trusses by the Virtual-Work Method
17.10 Deflections of Beams by the Virtual-Work Method
17.11 Castigliano’s Second Theorem
17.12 Calculating Deflections of Trusses by Castigliano’s Theorem
17.13 Calculating Deflections of Beams by Castigliano’s Theorem
Appendix A Geometric Properties of an Area
A.1 Centroid of an Area
A.2 Moment of Inertia for an Area
A.3 Product of Inertia for an Area
A.4 Principal Moments of Inertia
A.5 Mohr’s Circle for Principal Moments of Inertia
Appendix B Geometric Properties of Structural Steel Shapes
Appendix C Table of Beam Slopes and Deflections
Appendix D Average Properties of Selected Materials
Appendix E Generalized Hooke’s Law for Isotropic and Orthotropic Materials
E.1 Generalized Hooke’s Law for Isotropic Materials
E.2 Generalized Hooke’s Law for Orthotropic Materials
Appendix F Fundamental Mechanics of Materials Equations
Appendix G Multiple Choice Questions
Answers to Odd Numbered Problems (Available Online)
Index