Engineering Mechanics : Statics,9780137690015

Engineering Mechanics : Statics

by ;
ISBN13: 9780137690015
ISBN10: 0137690010
Format: Hardcover
Pub. Date: 1999-01-01
Publisher(s): Pearson College Div
List Price: $110.00

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Summary

This progressive guide emphasizes the use of vector mechanics and vector mathematics in its treatment of statistics, and is the first engineering mechanics book of its kind to address the use of computational software for computing solutions and for visualizing physical properties - reflecting the latest developments in the methods of analysis of mechanics problems by incorporating the highly sophisticated computational software packages currently available. Uses computational software as a vector calculator (so readers can perform vector manipulations quickly and accurately, allowing them more time to focus on the fundamentals), and provides direct vector calculations throughout (presenting systematic methods to solve some vector equations without expanding into scalar components). Offers a Matrix Solution of Systems of Equations using computational software; uses discontinuity functions to make shear and moment calculations and plots; and provides such powerful computational tools as symbolic manipulation and plotting for visualization of forces and the effects of geometry, and other parameters on internal and reaction forces and moments. Approximately 1,000 problems and 95 worked sample problems help foster understanding, and all sample problems and the use of computational software (Mathcad, MATLAB, Mathematica and Maple) are presented in four separate manuals (one for each software program).

Table of Contents

Preface x
Chapter 1. Introduction
1(15)
1.1 Mechanics
1(1)
1.2 Basic Concepts
2(4)
Problems 1.1-1.4
5(1)
1.3 Units
6(7)
SI Units
6(1)
U.S. Customary Units
7(2)
Conversion between Systems of Units
9(3)
Problems 1.5-1.9
12(1)
1.4 Numerical Calculations
13(1)
1.5 Problem-Solving Strategy
14(1)
1.6 Computational Software
15(1)
Chapter 2. Vectors and Force Systems Acting on a Particle
16(90)
2.1 Introduction
16(1)
2.2 Vectors
17(17)
Definition of a Scalar and Vector
17(1)
Vector Addition
18(4)
Multiplication of a Vector by a Scalar
22(1)
Vector Components
22(7)
Resolution of a Vector into Components
29(5)
2.3 Forces and Their Characteristics
34(8)
Concurrent Coplanar Forces
36(2)
Problems 2.1-2.21
38(4)
2.4 Three-dimensional Cartesian Coordinates and Unit Base Vectors
42(9)
Unit Base Vectors
43(2)
Vector Equality in Component Notation
45(1)
Vector Addition by Components
45(1)
Multiplication of a Vector by a Scalar
46(1)
Vector Subtraction
46(1)
General Unit Vectors
46(1)
Vector Directions in Space
47(2)
Matrix Notation for Vectors
49(2)
2.5 Computation of Vector Operations
51(8)
Problems 2.2-2.59
54(5)
2.6 Components of a Vector in Nonorthongonal Directions
59(3)
2.7 Systems of Linear Equations
62(9)
Matrices
64(5)
Problems 2.60-2.77
69(2)
2.8 Scalar Product of Two Vectors
71(8)
Applications of the Scalar Product
72(4)
Problems 2.78-2.94
76(3)
2.9 Free-body Diagrams of a Particle
79(6)
Problems 2.95-2.104
83(2)
2.10 Equilibrium of a Particle
85(8)
Problems 2.105-2.113
90(3)
2.11 Springs
93(4)
2.12 Statically Indeterminate Problems
97(4)
Problems 2.114-2.118
100(1)
Chapter Summary
101(5)
Vectors
101(1)
Free-body Diagrams and Equilibrium of a Particle
102(1)
Review Problems 2.119-2.131
103(3)
Chapter 3. Rigid Bodies: Equivalent Force Systems
106(66)
3.1 Rigid Bodies
106(2)
3.2 Modeling of Rigid Bodies and Moment of a Force
108(6)
Problems 3.1-3.10
112(2)
3.3 Vector Product or Cross Product
114(8)
Multiple Products of Vectors
117(4)
Problems 3.11-3.20
121(1)
3.4 Moment of a Force about a Point in Space
122(5)
Direct Vector Solutions
124(3)
3.5 Varignon's Theorem
127(7)
Problems 3.21-3.47
130(4)
3.6 Moment of a Force about an Axis
134(5)
Problems 3.48-3.60
137(2)
3.7 Moment of a Couple
139(5)
Problems 3.61-3.70
142(2)
3.8 Equivalent Force Systems
144(4)
Problems 3.71-3.74
147(1)
3.9 Special Equivalent Force Systems
148(9)
Concurrent Force Systems
150(1)
Coplanar Force Systems
150(2)
Parallel Force Systems
152(5)
3.10 General Equivalent Force Systems
157(13)
The Wrench
159(7)
Problems 3.75-3.94
166(4)
Chapter Summary
170(2)
Chapter 4. Distributed Forces: Centroids and Center of Gravity
172(47)
4.1 Introduction
172(3)
4.2 Center of Mass and Center of Gravity
175(4)
Center of Mass
175(2)
Center of Gravity
177(2)
4.3 Centroids of Areas, Volumes, and Lines; The First Moment
179(13)
Centroids of an Area
179(4)
Centroid of a Volume
183(2)
Centroid of a Line
185(1)
Centroid of a Curve in Space
186(3)
Problems 4.1-4.25
189(3)
4.4 Theorems of Pappus and Guldinus Problems 4.26-4.32
192(4)
4.5 Centroids of Composite Bodies
196(10)
Problems 4.33-4.32
202(4)
4.6 Distributed Loads on Beams
206(4)
Problems 4.52-4.62
208(2)
4.7 Forces Due to Fluid Pressure Acting on a Submerged Surface
210(6)
Buoyancy
211(3)
Problems 4.63-4.70
214(2)
Chapter Summary
216(3)
Centroid
216(1)
Center of Mass
216(1)
Centroids of Composite Bodies
217(1)
Distributed Loads on a Beam
217(1)
Focus on a Submerged Surface
218(1)
Buoyancy
218(1)
Chapter 5. Equilibrium of Rigid Bodies
219(65)
5.1 Introduction
219(2)
5.2 Supports for a Two-dimensional Model
221(4)
5.3 Supports for a Three-dimensional Model
225(4)
5.4 Free-Body Diagram
229(7)
Problems 5.1-5.10
233(3)
5.5 Equilibrium of a Rigid Body in Two Dimensions
236(21)
Solution Strategy
237(1)
A Two-Force Member
238(1)
A Three-Force Member
238(8)
Problems 5.11-5.51
246(11)
5.6 Equilibrium of a Rigid Body in Three Dimensions
257(7)
Constraints
258(6)
5.7 Statically Indeterminate Reactions and Improper Constraints
264(18)
Problems 5.52-5.80
272(10)
Chapter Summary
282(2)
Equilibrium
282(1)
Free-body Diagram
282(1)
Two-force Member
282(1)
Three-force Member
282(1)
Equilibrium of a Rigid Body in Three Dimensions
283(1)
Chapter 6. Analysis of Structures
284(52)
6.1 Introduction
284(2)
6.2 Planar Trusses
286(3)
6.3 Simple Trusses
289(1)
6.4 Method of Joints
290(6)
6.5 Method of Joints Using Matrix Techniques
296(9)
Problems 6.1-6.30
300(5)
6.6 Method of Sections
305(7)
Problems 6.31-6.55
308(4)
6.7 Space Trusses
312(7)
Problems 6.56-6.66
316(3)
6.8 Compound Trusses
319(1)
6.9 Frames and Machines
319(16)
Problems 6.67-6.97
324(11)
Chapter Summary
335(1)
Trusses
335(1)
Frames and Machines
335(1)
Chapter 7. Internal Forces in Structural Members
336(47)
7.1 Introduction
336(1)
7.2 Internal Forces in a Member
337(9)
Problems 7.1-7.17
343(3)
7.3 Types of Loading and Supports in Beams
346(1)
7.4 Shear and Bending Moments in Beams
347(12)
Relationship between the Load Distribution, the Shear Force, and the Bending Moment
349(6)
Problems 7.18-7.41
355(4)
7.5 Discontinuity Functions for Beam Equations
359(9)
Problems 7.42-7.53
366(2)
7.6 Cables
368(12)
Cable Subjected to Concentrated Loads
368(3)
Cables Supporting Loads Distributed Uniformly along a Horizontal Line
371(2)
Cables Supporting Loads Distributed Uniformly along Its Own Length
373(3)
Problems 7.54-7.70
376(4)
Chapter Summary
380(3)
Beams
380(1)
Discontinuity Functions
380(1)
Cables
381(2)
Chapter 8. Friction
383(54)
8.1 Introduction
383(4)
8.2 Coulomb Friction
387(19)
Problems 8.1-8.70
396(10)
8.3 Wedges
406(7)
Problems 8.71-8.89
411(2)
8.4 Square-Threaded Screws
413(8)
Problems 8.90-8.104
418(3)
8.5 Belt Friction
421(4)
V-belts
423(2)
8.6 Bearings
425(3)
8.7 Thrust Bearings, Collars, and Clutches
428(1)
8.8 Rolling Resistance
429(6)
Problems 8.105-8.125
432(3)
Chapter Summary
435(2)
Belt Friction
436(1)
Roller Bearings
436(1)
Thrust Bearings, Collars, and Clutches
436(1)
Chapter 9. Moments of Inertia
437(44)
9.1 Introduction
437(1)
9.2 Second Moment of an Area
438(1)
Determination of the Second Moment of an Area by Integration
439(1)
9.3 Polar Moment of Inertia
439(2)
9.4 Second Moment of an Area about Centroidal Axes for Specific Areas
441(3)
Problems 9.1-9.21
442(2)
9.5 Parallel-Axes Theorem for the Second Moment of Area
444(2)
9.6 Radius of Gyration of an Area
446(3)
Problems 9.22-9.32
448(1)
9.7 Second Moments of Composite Areas
449(5)
Problems 9.33-9.45
452(2)
9.8 Principal Second Moments of Area
454(8)
Product Moment of an Area, or Product Moment of Inertia
454(1)
Rotation of Axes
455(5)
Problems 9.46-9.59
460(2)
9.9 Mohr's Circle to Determine Principal Second Moments of Area
462(5)
Problems 9.60-9.73
465(2)
9.10 Eigenvalue Problem
467(5)
Problems 9.74-9.87
470(2)
9.11 Mass Moments of Inertia
472(6)
Parallel-Axis Theorem
473(3)
Problems 9.88-9.102
476(2)
Chapter Summary
478(3)
Principal Second Moment of Area
479(1)
Mass Moments of Inertia
480(1)
Chapter 10. Virtual Work
481(33)
10.1 Introduction
481(2)
Work-By a Force or Moment
481(2)
10.2 Virtual Work
483(1)
10.3 Principle of Virtual Work for a System of Connected Rigid Bodies
484(10)
Problems 10.1-10.28
489(5)
10.4 Finite Work of a Force and Moment
494(5)
Problems 10.29-10.34
498(1)
10.5 Conservative Forces and Potential Energy
499(4)
10.6 Potential Energy and Equilibrium
503(1)
10.7 Stability of Equilibrium
504(7)
Problems 10.35-10.60
508(3)
Chapter Summary
511(3)
Conservative Forces
512(2)
Appendix: Solution of Systems of Linear Equations 514(9)
Glossary 523(11)
Problem Statements 534(26)
Index 560

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