Table of Contents
Cover
Title Page
Copyright
Contents
Preface
About the Authors
1 Introduction
1.1 A Motivating Example: Remodeling an Underwater Structure
1.2 Newton’s Laws: The First Principles of Mechanics
1.3 Equilibrium
1.4 Definition of a Continuum
1.5 Mathematical Basics: Scalars and Vectors
1.6 Problem Solving
1.7 Examples
Example 1.1
Example 1.2
1.8 Problems
Notes
2 Strain and Stress in One Dimension
2.1 Kinematics: Strain
2.1.1 Normal Strain
2.1.2 Shear Strain
2.1.3 Measurement of Strain
2.2 The Method of Sections and Stress
2.2.1 Normal Stresses
2.2.2 Shear Stresses
2.3 Stress–Strain Relationships
2.4 Equilibrium
2.5 Stress in Axially Loaded Bars
2.6 Deformation of Axially Loaded Bars
2.7 Equilibrium of an Axially Loaded Bar
2.8 Indeterminate Bars
2.8.1 Force (Flexibility) Method
2.8.2 Displacement (Stiffness) Method
2.9 Thermal Effects
2.10 Saint-Venant’s Principle and Stress Concentrations
2.11 Strain Energy in One Dimension
2.12 A Road Map for Strength of Materials
2.13 Examples
Example 2.1
Example 2.2
Example 2.3
Example 2.4
Example 2.5
Example 2.6
Example 2.7
Example 2.8
Example 2.9
2.14 Problems
Case Study 1: Collapse of the Kansas City Hyatt Regency Walkways
Problems
Notes
3 Strain and Stress in Higher Dimensions
3.1 Poisson’s Ratio
3.2 The Strain Tensor
3.3 Strain as Relative Displacement
3.4 The Stress Tensor
3.5 Generalized Hooke’s Law
3.6 Limiting Behavior
3.7 Properties of Engineering Materials
Ferrous Metals
Nonferrous Metals
Nonmetals
3.8 Equilibrium
3.8.1 Equilibrium Equations
3.8.2 The Two-Dimensional State of Plane Stress
3.8.3 The Two-Dimensional State of Plane Strain
3.9 Formulating Two-Dimensional Elasticity Problems
3.9.1 Equilibrium Expressed in Terms of Displacements
3.9.2 Compatibility Expressed in Terms of Stress Functions
3.9.3 Some Remaining Pieces of the Puzzle of General Formulations
3.10 Examples
Example 3.1
Example 3.2
3.11 Problems
Notes
4 Applying Strain and Stress in Multiple Dimensions
4.1 Torsion
4.1.1 Method of Sections
4.1.2 Torsional Shear Stress: Angle of Twist and the Torsion Formula
4.1.3 Stress Concentrations
4.1.4 Transmission of Power by a Shaft
4.1.5 Statically Indeterminate Problems
4.1.6 Torsion of Inelastic Circular Members
4.1.7 Torsion of Solid Noncircular Members
4.1.8 Torsion of Thin- Walled Tubes
4.2 Pressure Vessels
4.3 Transformation of Stress and Strain
4.3.1 Transformation of Plane Stress
4.3.2 Principal and Maximum Stresses
4.3.3 Mohr’s Circle for Plane Stress
4.3.4 Transformation of Plane Strain
4.3.5 Three-Dimensional State of Stress
4.4 Failure Prediction Criteria
4.4.1 Failure Criteria for Brittle Materials
4.4.2 Yield Criteria for Ductile Materials
4.5 Examples
Example 4.1
Example 4.2
Example 4.3
Example 4.4
Example 4.5
Example 4.6
Example 4.7
Example 4.8
Example 4.9
Example 4.10
Example 4.11
4.6 Problems
Case Study 2: Pressure Vessel Safety
Why Are Pressure Vessels Spheres and Cylinders?
Why Do Pressure Vessels Fail?
Problems
Notes
5 Beams
5.1 Calculation of Reactions
5.2 Method of Sections: Axial Force, Shear, Bending Moment
Axial Force in Beams
Shear in Beams
Bending Moment in Beams
5.3 Shear and Bending Moment Diagrams
Rules and Regulations for Shear and Bending Moment Diagrams
5.4 Integration Methods for Shear and Bending Moment
5.5 Normal Stresses in Beams
5.6 Shear Stresses in Beams
5.7 Examples
Example 5.1
Example 5.2
Example 5.3
Example 5.4
Example 5.5
Example 5.6
5.8 Problems
Case Study 3: Physiological Levers and Repairs
The Forearm Is Connected to the Elbow Joint
Fixing an Intertrochanteric Fracture
Problems
Notes
6 Beam Deflections
6.1 Governing Equation
6.2 Boundary Conditions
6.3 Solution of Deflection Equation by Integration
6.4 Singularity Functions
6.5 Moment Area Method
6.6 Beams with Elastic Supports
6.7 Strain Energy for Bent Beams
6.8 Flexibility Revisited and Maxwell- Betti Reciprocal Theorem
6.9 Examples
Example 6.1
Example 6.2
Example 6.3
Example 6.4
6.10 Problems
Notes
7 Instability: Column Buckling
7.1 Euler’s Formula
7.2 Effect of Eccentricity
7. 3 Examples
Example 7.1
Example 7.2
7.4 Problems
Case Study 4: Hartford Civic Arena
Notes
8 Connecting Solid and Fluid Mechanics
8.1 Pressure
8.2 Viscosity
8.3 Surface Tension
8.4 Governing Laws
8.5 Motion and Deformation of Fluids
8.5.1 Linear Motion and Deformation
8.5.2 Angular Motion and Deformation
8.5.3 Vorticity
8.5.4 Constitutive Equation (Generalized Hooke’s Law) for Newtonian Fluids
8.6 Examples
Example 8.1
Example 8.2
Example 8.3
Example 8.4
8.7 Problems
Case Study 5: Mechanics of Biomaterials
Nonlinearity
Composite Materials
Viscoelasticity
Problems
Notes
9 Fluid Statics
9.1 Local Pressure
9.2 Force Due to Pressure
9.3 Fluids at Rest
9.4 Forces on Submerged Surfaces
9.5 Buoyancy
9.6 Examples
Example 9.1
Example 9.2
Example 9.3
Example 9.4
Example 9.5
9.7 Problems
Case Study 6: St. Francis Dam
Problems
Note
10 Fluid Dynamics: Governing Equations
10.1 Description of Fluid Motion
10.2 Equations of Fluid Motion
10.3 Integral Equations of Motion
10.3.1 Mass Conservation
10.3.2 F = ma, or Momentum Conservation
10.3.3 Reynolds Transport Theorem
10.4 Differential Equations of Motion
10.4.1 Continuity, or Mass Conservation
10.4.2 F = ma, , or Momentum Conservation
10.5 Bernoulli Equation
10.6 Examples
Example 10.1
Example 10.2
Example 10.3
Example 10.4
Example 10.5
Example 10.6
10.7 Problems
Notes
11 Fluid Dynamics: Applications
11.1 How Do We Classify Fluid Flows?
11.2 What’s Going on Inside Pipes?
11.3 Why Can an Airplane Fly?
11.4 Why Does a Curveball Curve?
11.5 Problems
Notes
12 Solid Dynamics: Governing Equations
12.1 Continuity, or Mass Conservation
12.2 F = ma, or Momentum Conservation
12.3 Constitutive Laws: Elasticity
Note
References
Appendix A: Second Moments of Area
Appendix B: A Quick Look at the Del Operator
Divergence
Physical Interpretation of the Divergence
Example
Curl
Physical Interpretation of the Curl
Examples
Laplacian
Appendix C: Property Tables
Appendix D: All the Equations
Index
