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Vector Mechanics for Engineers
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Preface
List of Symbols

Chapter 1: Introduction
1.1 What Is Mechanics?
1.2 Fundamental Concepts and Principles
1.3 Systems of Units
1.4 Conversion from One System of Units to Another
1.5 Method of Problem Solution
1.6 Numerical Accuracy

Chapter 2: Statics of Particles
2.1 Introduction
2.2 Force on a Particle. Resultant of Two Forces
2.3 Vectors
2.5 Resultant of Several Concurrent Forces
2.6 Resolution of a Force into Components
2.7 Rectangular Components of a Force. Unit Vectors
2.8 Addition of Forces by Summing x and y Components
2.9 Equilibrium of a Particle
2.10 Newton's First Law of Motion
2.11 Problems Involving the Equilibrium of a Particle.
2.12 Rectangular Components of a Force in Space
2.13 Force Defined by Its Magnitude and Two Points on Its Line of Action
2.14 Addition of Concurrent Forces in Space
2.15 Equilibrium of a Particle in Space

Chapter 3: Rigid Bodies: Equivalent Systems of Forces
3.1 Introduction
3.2 External and Internal Forces
3.3 Principle of Transmissibility. Equivalent Forces
3.4 Vector Product of Two Vectors
3.5 Vector Products Expressed in Terms of Rectangular Components
3.6 Moment of a Force about a Point
3.7 Varignon's Theorem
3.8 Rectangular Components of the Moment of a Force
3.9 Scalar Product of Two Vectors
3.10 Mixed Triple Product of Three Vectors
3.11 Moment of a Force about a Given Axis
3.12 Moment of a Couple
3.13 Equivalent Couples
3.15 Couples Can Be Represented by Vectors
3.16 Resolution of a Given Force Into a Force at O and a Couple
3.17 Reduction of a System of Forces to One Force and One Couple
3.18 Equivalent Systems of Forces
3.19 Equipollent Systems of Vectors
3.20 Further Reduction of a System of Forces
3.21 Reduction of a System of Forces to a Wrench

Chapter 4: Equilibrium of Rigid Bodies
4.1 Introduction
4.2 Free-Body Diagram
4.3 Reactions at Supports and Connections for a Two-Dimensional Structure
4.4 Equilibrium of a Rigid Body in Two Dimensions
4.5 Statically Indeterminate Reactions. Partial Constraints
4.6 Equilibrium of a Two-Force Body
4.7 Equilibrium of a Three-Force Body Equilibrium in Three Dimensions
4.8 Equilibrium of a Rigid Body in Three Dimensions
4.9 Reactions at Supports and Connections for a Three-Dimensional Structure

Chapter 5: Distributed Forces: Centroids and Centers of Gravity
5.1 Introduction
5.2 Center of Gravity of a Two-Dimensional Body
5.3 Centroids of Areas and Lines
5.4 First Moments of Areas and Lines
5.5 Composite Plates and Wires
5.6 Determination of Centroids by Integration
5.7 Theorems of Pappus-Guldinus
5.9 Forces on Submerged Surfaces
5.10 Center of Gravity of a Three-Dimensional Body.
5.11 Composite Bodies
5.12 Determination of Centroids of Volumes by

Chapter 6: Analysis of Structures
6.1 Introduction
6.2 Definition of a Truss
6.3 Simple Trusses
6.4 Analysis of Trusses by the Method of Joints
6.6 Space Trusses
6.7 Analysis of Trusses by the Method of Sections
6.8 Trusses Made of Several Simple Trusses
6.9 Structures Containing Multiforce Members
6.10 Analysis of a Frame
6.11 Frames Which Cease to Be Rigid When Detached from Their Supports
6.12 Machines

Chapter 7: Forces in Beams and Cables
7.1 Introduction
7.2 Internal Forces in Members
7.4 Shear and Bending Moment in a Beam
7.5 Shear and Bending-Moment Diagrams
7.6 Relations among Load, Shear, and Bending Moment
7.9 Parabolic Cable
7.10 Catenary

Chapter 8: Friction
8.1 Introduction
8.2 The Laws of Dry Friction. Coefficients of Friction
8.3 Angles of Friction
8.4 Problems Involving Dry Friction
8.5 Wedges
8.7 Journal Bearings. Axle Friction
8.8 Thrust Bearings. Disk Friction
8.9 Wheel Friction. Rolling
8.10 Belt Friction

Chapter 9: Distributed Forces: Moments of Inertia
9.1 Introduction
9.2 Second Moment, or Moment of Inertia, of an Area
9.3 Determination of the Moment of Inertia of an Area by Integration
9.4 Polar Moment of Inertia
9.5 Radius of Gyration of an Area
9.6 Parallel-Axis Theorem
9.7 Moments of Inertia of Composite Areas
9.8 Product of Inertia
9.9 Principal Axes and Principal Moments of Inertia
9.10 Mohr's Circle for Moments and Products of Inertia
9.11 Moment of Inertia of a Mass
9.12 Parallel-Axis Theorem
9.13 Moments of Inertia of Thin Plates
9.14 Determination of the Moment of Inertia of a Three-Dimensional Body by Integration
9.15 Moments of Inertia of Composite Bodies
9.16 Moment of Inertia of a Body with Respect to an Arbitrary Axis through O. Mass Products of Inertia
9.17 Ellipsoid of Inertia. Principal Axes of Inertia
9.18 Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape

Chapter 10: Method of Virtual Work
10.1 Introduction
10.2 Work of a Force
10.3 Principle of Virtual Work
10.4 Applications of the Principle of Virtual Work
10.5 Real Machines. Mechanical Efficiency
10.6 Work of a Force during a Finite Displacement
10.7 Potential Energy
10.8 Potential Energy and Equilibrium
10.9 Stability of Equilibrium

Appendix: Fundamentals of Engineering Examination
Photo Credits
Index