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VECTOR MECH F/ENG:STATICS

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ISBN: 9780078441936 | 0078441935
Edition: 6TH
Publisher: MCG
Pub. Date: 1/1/1996

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Table of Contents
Prefacexiii
List of Symbols
xvii
Introduction
1(14)
What Is M... MORE
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 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)
Index581(6)
Answers to Problems587

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