Vector Mechanics for Engineers: Statics,9780071140577

Vector Mechanics for Engineers: Statics

by ;
Edition: 6th
ISBN13: 9780071140577
ISBN10: 0071140573
Format: Paperback
Pub. Date: 2000-04-01
Publisher(s): MCGRAW HILL BOOK CO LTD
List Price: $20.95

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Table of Contents

Preface xvii
List of Symbols
xxiii
Introduction
1(14)
What Is Mechanics?
2(1)
Fundamental Concepts and Principles
2(3)
Systems of Units
5(5)
Conversion from One System of Units to Another
10(2)
Method of Problem Solution
12(1)
Numerical Accuracy
13(2)
Statics of Particles
15(56)
Introduction
16(1)
Forces In a Plane
16(1)
Force on a Particle. Resultant of Two Forces
16(1)
Vectors
17(1)
Addition of Vectors
18(2)
Resultant of Several Concurrent Forces
20(1)
Resolution of a Force into Components
21(6)
Rectangular Components of a Force. Unit Vectors
27(3)
Addition of Forces by Summing x and y Components
30(5)
Equilibrium of a Particle
35(1)
Newton's First Law of Motion
36(1)
Problems Involving the Equilibrium of a Particle. Free-Body Diagrams
36(9)
Forces in Space
45(1)
Rectangular Components of a Force in Space
45(3)
Force Defined by Its Magnitude and Two Points on Its Line of Action
48(1)
Addition of Concurrent Forces in Space
49(8)
Equilibrium of a Particle in Space
57(14)
Review and Summary for Chapter 2
64(3)
Review Problems
67(4)
Rigid Bodies: Equivalent Systems of Forces
71(82)
Introduction
72(1)
External and Internal Forces
72(1)
Principle of Transmissibility. Equivalent Forces
73(2)
Vector Product of Two Vectors
75(2)
Vector Products Expressed in Terms of Rectangular Components
77(2)
Moment of a Force about a Point
79(2)
Varignon's Theorem
81(1)
Rectangular Components of the Moment of a Force
81(10)
Scalar Product of Two Vectors
91(2)
Mixed Triple Product of Three Vectors
93(2)
Moment of a Force about a Given Axis
95(10)
Moment of a Couple
105(1)
Equivalent Couples
106(2)
Addition of Couples
108(1)
Couples Can Be Represented by Vectors
108(1)
Resolution of a Given Force Into a Force at O and a Couple
109(11)
Reduction of a System of Forces to One Force and One Couple
120(2)
Equivalent Systems of Forces
122(1)
Equipollent Systems of Vectors
122(1)
Further Reduction of a System of Forces
123(2)
Reduction of a System of Forces to a Wrench
125(28)
Review and Summary for Chapter 3
144(5)
Review Problems
149(4)
Equilibrium of Rigid Bodies
153(56)
Introduction
154(1)
Free-Body Diagram
155(1)
Equilibrium in Two Dimensions
156(1)
Reactions at Supports and Connections for a Two-Dimensional Structure
156(2)
Equilibrium of a Rigid Body in Two Dimensions
158(2)
Statically Indeterminate Reactions. Partial Constraints
160(17)
Equilibrium of a Two-Force Body
177(1)
Equilibrium of a Three-Force Body
178(7)
Equilibrium in Three Dimensions
185(1)
Equilibrium of a Rigid Body in Three Dimensions
185(1)
Reactions at Supports and Connections for a Three-Dimensional Structure
185(24)
Review and Summary for Chapter 4
202(2)
Review Problems
204(5)
Distributed Forces: Centroids and Centers of Gravity
209(65)
Introduction
210(1)
Areas and Lines
210(1)
Center of Gravity of a Two-Dimensional Body
210(2)
Centroids of Areas and Lines
212(1)
First Moments of Areas and Lines
213(3)
Composite Plates and Wires
216(11)
Determination of Centroids by Integration
227(2)
Theorems of Pappus-Guldinus
229(11)
Distributed Loads on Beams
240(1)
Forces on Submerged Surfaces
241(10)
Volumes
251(1)
Center of Gravity of a Three-Dimensional Body. Centroid of a Volume
251(3)
Composite Bodies
254(1)
Determination of Centroids of Volumes by Integration
254(20)
Review and Summary for Chapter 5
266(4)
Review Problems
270(4)
Analysis of Structures
274(67)
Introduction
275(1)
Trusses
276(1)
Definition of a Truss
276(2)
Simple Trusses
278(1)
Analysis of Trusses by the Method of Joints
279(2)
Joints under Special Loading Conditions
281(2)
Space Trusses
283(10)
Analysis of Trusses by the Method of Sections
293(1)
Trusses Made of Several Simple Trusses
294(11)
Frames and Machines
305(1)
Structures Containing Multiforce Members
305(1)
Analysis of a Frame
305(1)
Frames Which Cease to Be Rigid When Detached from Their Supports
306(15)
Machines
321(20)
Review and Summary for Chapter 6
333(3)
Review Problems
336(5)
Forces in Beams and Cables
341(55)
Introduction
342(1)
Internal Forces in Members
342(7)
Beams
349(1)
Various Types of Loading and Support
349(1)
Shear and Bending Moment in a Beam
350(2)
Shear and Bending-Moment Diagrams
352(8)
Relations among Load, Shear, and Bending Moment
360(11)
Cables
371(1)
Cables with Concentrated Loads
371(1)
Cables with Distributed Loads
372(1)
Parabolic Cable
373(9)
Catenary
382(14)
Review and Summary for Chapter 7
390(3)
Review Problems
393(3)
Friction
396(59)
Introduction
397(1)
The Laws of Dry Friction. Coefficients of Friction
397(3)
Angles of Friction
400(1)
Problems Involving Dry Friction
401(16)
Wedges
417(1)
Square-Threaded Screws
417(9)
Journal Bearings. Axle Friction
426(2)
Thrust Bearings. Disk Friction
428(1)
Wheel Friction. Rolling Resistance
429(7)
Belt Friction
436(19)
Review and Summary for Chapter 8
447(3)
Review Problems
450(5)
Distributed Forces: Moments of Inertia
455(84)
Introduction
456(1)
Moments of Inertia of Areas
457(1)
Second Moment, or Moment of Inertia, of an Area
457(1)
Determination of the Moment of Inertia of an Area by Integration
458(1)
Polar Moment of Inertia
459(1)
Radius of Gyration of an Area
460(7)
Parallel-Axis Theorem
467(1)
Moments of Inertia of Composite Areas
468(13)
Product of Inertia
481(1)
Principal Axes and Principal Moments of Inertia
482(8)
Mohr's Circle for Moments and Products of Inertia
490(6)
Moments of Inertia of Masses
496(1)
Moment of Inertia of a Mass
496(2)
Parallel-Axis Theorem
498(1)
Moments of Inertia of Thin Plates
499(1)
Determination of the Moment of Inertia of a Three-Dimensional Body by Integration
500(1)
Moments of Inertia of Composite Bodies
500(15)
Moment of Inertia of a Body with Respect to an Arbitrary Axis through O. Mass Products of Inertia
515(1)
Ellipsoid of Inertia. Principal Axes of Inertia
516(2)
Determination of the Principal Axes and Principal Moments of Inertia of s Body of Arbitrary Shape
518(21)
Review and Summary for Chapter 9
529(6)
Review Problems
535(4)
Method of Virtual Work
539(42)
Introduction
540(1)
Work of a Force
540(3)
Principle of Virtual Work
543(1)
Applications of the Principle of Virtual Work
544(2)
Real Machines. Mechanical Efficiency
546(14)
Work of a Force during a Finite Displacement
560(2)
Potential Energy
562(1)
Potential Energy and Equilibrium
563(1)
Stability of Equilibrium
564(17)
Review and Summary for Chapter 10
574(3)
Review Problems
577(4)
Kinematics of Particles
581(86)
Introduction to Dynamics
582(1)
Rectilinear Motion of Particles
583(1)
Position, Velocity, and Acceleration
583(4)
Determination of the Motion of a Particle
587(9)
Uniform Rectilinear Motion
596(1)
Uniformly Accelerated Rectilinear Motion
597(1)
Motion of Several Particles
598(12)
Graphical Solution of Rectilinear-Motion Problems
610(1)
Other Graphical Methods
611(10)
Curvilinear Motion of Particles
621(1)
Position Vector, Velocity, and Acceleration
621(2)
Derivatives of Vector Functions
623(2)
Rectangular Components of Velocity and Acceleration
625(1)
Motion Relative to a Frame in Translation
626(17)
Tangential and Normal Components
643(3)
Radial and Transverse Components
646(21)
Review and Summary for Chapter 11
659(4)
Review Problems
663(4)
Kinetics of Particles: Newton's Second Law
667(62)
Introduction
668(1)
Newton's Second Law of Motion
669(1)
Linear Momentum of a Particle. Rate of Change of Linear Momentum
670(1)
Systems of Units
671(2)
Equations of Motion
673(2)
Dynamic Equilibrium
675(20)
Angular Momentum of a Particle. Rate of Change of Angular Momentum
695(1)
Equations of Motion in Terms of Radial and Transverse Components
696(1)
Motion under a Central Force. Conservation of Angular Momentum
697(1)
Newton's Law of Gravitation
698(9)
Trajectory of a Particle under a Central Force
707(1)
Application to Space Mechanics
708(3)
Kepler's Laws of Planetary Motion
711(18)
Review and Summary for Chapter 12
720(4)
Review Problems
724(5)
Kinetics of Particles: Energy and Momentum Methods
729(98)
Introduction
730(1)
Work of a Force
730(4)
Kinetic Energy of a Particle. Principle of Work and Energy
734(2)
Applications of the Principle of Work and Energy
736(1)
Power and Efficiency
737(18)
Potential Energy
755(2)
Conservative Forces
757(1)
Conservation of Energy
758(2)
Motion under a Conservative Central Force, Application to Space Mechanics
760(19)
Principle of Impulse and Momentum
779(3)
Impulsive Motion
782(12)
Impact
794(1)
Direct Central Impact
794(3)
Oblique Central Impact
797(3)
Problems Involving Energy and Momentum
800(27)
Review and Summary for Chapter 13
816(6)
Review Problems
822(5)
Systems of Particles
827(58)
Introduction
828(1)
Application of Newton's Laws to the Motion of a System of Particles. Effective Forces
828(3)
Linear and Angular Momentum of a System of Particles
831(1)
Motion of the Mass Center of a System of Particles
832(2)
Angular Momentum of a System of Particles about Its Mass Center
834(2)
Conservation of Momentum for a System of Particles
836(9)
Kinetic Energy of a System of Particles
845(2)
Work-Energy Principle. Conservation of Energy for a System of Particles
847(1)
Principle of Impulse and Momentum for a System of Particles
847(11)
Variable Systems of Particles
858(1)
Steady Stream of Particles
858(3)
Systems Gaining or Losing Mass
861(24)
Review and Summary for Chapter 14
876(4)
Review Problems
880(5)
Kinematics of Rigid Bodies
885(105)
Introduction
886(2)
Translation
888(1)
Rotation about a Fixed Axis
889(3)
Equations Defining the Rotation of a Rigid Body about a Fixed Axis
892(10)
General Plane Motion
902(2)
Absolute and Relative Velocity in Plane Motion
904(11)
Instantaneous Center of Rotation in Plane Motion
915(11)
Absolute and Relative Acceleration in Plane Motion
926(2)
Analysis of Plane Motion in Terms of a Parameter
928(12)
Rate of Change of a Vector with Respect to a Rotating Frame
940(2)
Plane Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration
942(11)
Motion about a Fixed Point
953(3)
General Motion
956(11)
Three-Dimensional Motion of a Particle Relative to a Rotating Frame. Coriolis Acceleration
967(1)
Frame of Reference in General Motion
968(22)
Review and Summary for Chapter 15
979(7)
Review Problems
986(4)
Plane Motion of Rigid Bodies: Forces and Accelerations
990(55)
Introduction
991(1)
Equations of Motion for a Rigid Body
992(1)
Angular Momentum of a Rigid Body in Plane Motion
993(1)
Plane Motion of a Rigid Body. D'Alembert's Principle
994(1)
A Remark on the Axioms of the Mechanics of Rigid Bodies
995(1)
Solution of Problems Involving the Motion of a Rigid Body
996(1)
Systems of Rigid Bodies
997(19)
Constrained Plane Motion
1016(29)
Review and Summary for Chapter 16
1039(2)
Review Problems
1041(4)
Plane Motion of Rigid Bodies: Energy and Momentum Methods
1045(61)
Introduction
1046(1)
Principle of Work and Energy for a Rigid Body
1046(1)
Work of Forces Acting on a Rigid Body
1047(1)
Kinetic Energy of a Rigid Body in Plane Motion
1048(1)
Systems of Rigid Bodies
1049(1)
Conservation of Energy
1050(1)
Power
1051(17)
Principle of Impulse and Momentum for the Plane Motion of a Rigid Body
1068(3)
Systems of Rigid Bodies
1071(1)
Conservation of Angular Momentum
1071(13)
Impulsive Motion
1084(1)
Eccentric Impact
1084(22)
Review and Summary for Chapter 17
1098(4)
Review Problems
1102(4)
Kinetics of Rigid Bodies in Three Dimensions
1106(65)
Introduction
1107(1)
Angular Momentum of a Rigid Body in Three Dimensions
1108(4)
Application of the Principle of Impulse and Momentum to the Three-Dimensional Motion of a Rigid Body
1112(1)
Kinetic Energy of a Rigid Body in Three Dimensions
1113(13)
Motion of a Rigid Body in Three Dimensions
1126(1)
Euler's Equations of Motion. Extension of d'Alembert's Principle to the Motion of a Rigid Body in Three Dimensions
1127(1)
Motion of a Rigid Body about a Fixed Point
1128(1)
Rotation of a Rigid Body about a Fixed Axis
1129(15)
Motion of a Gyroscope. Eulerian Angles
1144(2)
Steady Precession of a Gyroscope
1146(1)
Motion of an Axisymmetrical Body under No Force
1147(24)
Review and Summary for Chapter 18
1160(5)
Review Problems
1165(6)
Mechanical Vibrations
1171(72)
Introduction
1172(1)
Vibrations without Damping
1172(1)
Free Vibrations of Particles. Simple Harmonic Motion
1172(4)
Simple Pendulum (Approximate Solution)
1176(1)
Simple Pendulum (Exact Solution)
1177(9)
Free Vibrations of Rigid Bodies
1186(12)
Application of the Principle of Conservation of Energy
1198(11)
Forced Vibrations
1209(10)
Damped Vibrations
1219(1)
Damped Free Vibrations
1219(3)
Damped Forced Vibrations
1222(1)
Electrical Analogues
1223(20)
Review and Summary for Chapter 19
1234(5)
Review Problems
1239(4)
Index 1243(12)
Answers to Problems 1255

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