Vector Mechanics for Engineers : Statics

by BEER

• ISBN13: 9780070053670
• ISBN10: 0070053677
• Edition: 6TH
• Copyright: 1996-01-01
• Publisher: MCG

Table of Contents

Preface	xiii
List of Symbols	xvii
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-Dimensions 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 a 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)
Index	581	(6)
Answers to Problems	587