Engineering Mechanics: Statics - Computational Edition - SI Version

by Soutas-Little, Robert W.; Inman, Daniel J.; Balint, Daniel

• ISBN13: 9780495438113
• ISBN10: 0495438111
• Edition: 1st
• Format: Hardcover
• Copyright: 2007-11-02
• Publisher: CL Engineering

Summary

Focusing on the conceptual understanding of mechanics, this exciting new text addresses developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated computational software packages currently available to students. The text provides transition material to higher level courses, as well as a wealth of problems to foster understanding. All sample problems and the use of computational software (MathCAD, MATLAB, Mathematica and Maple) are presented in four seperate manuals (one for each software program). Each manual explains how to use the software package to solve the example problems in the book.

Table of Contents

Preface	p. viii
Introduction	p. 1
Mechanics	p. 2
Basic Concepts	p. 2
Problems 1.1.-1.4	p. 4
Units	p. 4
SI Units	p. 5
Customary Units	p. 6
Conversion between Systems of Units	p. 7
Problems 1.5-1.9	p. 10
Numerical Calculations	p. 10
Problem-solving Strategy	p. 11
Computational Software	p. 12
Vector Analysis	p. 13
Introduction	p. 14
Vectors	p. 15
Definition of a Scalar and a Vector	p. 15
Vector Addition	p. 16
Multiplication of a Vector by a Scalar	p. 20
Vector Components	p. 20
Resolution of a Vector into Components	p. 25
Forces and Their Characteristics	p. 30
Concurrent Coplanar Forces	p. 31
Problems 2.1-2.21	p. 32
Three-dimensional Cartesian Coordinates and Unit Base Vectors	p. 35
Unit Base Vectors	p. 36
Vector Equality in Component Notation	p. 37
Vector Addition by Components	p. 38
Multiplication of a Vector by a Scalar	p. 38
Vector Subtraction	p. 39
General Unit Vectors	p. 39
Vector Directions in Space	p. 39
Matrix Notation for Vectors	p. 41
Computation of Vector Operations	p. 42
Problems 2.22-2.59	p. 45
Components of a Vector in Nonorthogonal Directions	p. 49
Systems of Linear Equations	p. 53
Matrices	p. 55
Problems 2.60-2.78	p. 59
Scalar Product of Two Vectors	p. 60
Applications of the Scalar Product	p. 62
Problems 2.79-2.95	p. 65
Vector Product or Cross Product	p. 67
Multiple Products of Vectors	p. 70
Problems 2.96-2.111	p. 74
Direct Vector Solutions	p. 76
Problems 2.112-2.122	p. 78
Particle Equilibrium	p. 81
Free-body Diagrams of a Particle	p. 82
Problems 3.1-3.10	p. 85
Equilibrium of a Particle	p. 87
Problems 3.11-3.37	p. 96
Springs	p. 101
Statically Indeterminate Problems	p. 104
Problems 3.38-3.46	p. 107
Special Sections	p. 108
Introduction to Friction	p. 108
Problems 3.47-3.63	p. 113
Keystone of the Arch	p. 115
Problems 3.64-3.65	p. 119
Rigid Bodies: Equivalent Force Systems	p. 121
Rigid Bodies	p. 122
Modeling of Rigid Bodies and Moment of a Force	p. 123
Problems 4.1-4.10	p. 126
Moment of a Force about a Point in Space	p. 127
Direct Vector Solutions	p. 129
Varignon's Theorem	p. 131
Problems 4.11-4.40	p. 136
Moment of a Force about an Axis	p. 140
Problems 4.41-4.51	p. 142
Moment of a Couple	p. 144
Problems 4.52-4.61	p. 146
Equivalent Force Systems	p. 148
Problems 4.62-4.65	p. 151
Special Equivalent Force Systems	p. 151
Concurrent Force Systems	p. 153
Coplanar Force Systems	p. 153
Parallel Force Systems	p. 155
General Equivalent Force Systems	p. 158
The Wrench	p. 160
Problems 4.66-4.84	p. 165
Distributed Forces: Centroids and Center of Gravity	p. 169
Introduction	p. 170
Center of Mass and Center of Gravity	p. 172
Center of Mass	p. 172
Center of Gravity	p. 173
Average Position: Centroids of Areas, Volumes, and Lines; The First Moment	p. 176
Centroid of an Area	p. 176
Centroid of a Volume	p. 179
Centroid of a Line	p. 180
Centroid of a Curve in Space	p. 181
Problems 5.1-5.25	p. 183
Theorems of Pappus and Guldinus	p. 186
Problems 5.26-5.32	p. 188
Centroids of Composite Bodies	p. 88
Problems 5.33-5.51	p. 193
Distributed Loads on Beams	p. 196
Problems 5.52-5.62	p. 198
Forces Due to Fluid Pressure Acting on a Submerged Surface	p. 199
Buoyancy	p. 200
Problems 5.63-5.70	p. 202
Equilibrium of Rigid Bodies	p. 205
Introduction	p. 206
Supports for a Two-dimensional Model	p. 207
Supports for a Three-dimensional Model	p. 210
Free-body Diagram	p. 213
Problems 6.1-6.10	p. 215
Equilibrium of a Rigid Body in Two Dimensions	p. 217
Solution Strategy	p. 218
A Two-Force Member	p. 219
A Three-Force Member	p. 219
Problems 6.11-6.33	p. 227
Equilibrium of a Rigid Body in Three Dimensions	p. 231
Constraints	p. 233
Statically Indeterminate Reactions and Improper Constraints	p. 237
Problems 6.34-6.57	p. 244
Analysis of Structures	p. 249
Introduction	p. 250
Planar Trusses	p. 251
Simple Trusses	p. 253
Method of Joints	p. 254
Method of Joints Using Matrix Techniques	p. 259
Problems 7.1-7.30	p. 262
Method of Sections	p. 266
Problems 7.31-7.55	p. 268
Space Trusses	p. 272
Problems 7.56-7.66	p. 274
Compound Trusses	p. 277
Frames and Machines	p. 278
Problems 7.67-7.97	p. 281
Internal Forces in Structural Members	p. 289
Introduction	p. 290
Internal Forces in a Member	p. 290
Problems 8.1-8.17	p. 295
Types of Loading and Supports in Beams	p. 296
Shear and Bending Moments in Beams	p. 297
Relationship between the Load Distribution, the Shear Force, and the Bending Moment	p. 300
Problems 8.18-8.41	p. 304
Discontinuity Functions for Beam Equations	p. 308
Problems 8.42-8.53	p. 314
Cables	p. 315
Cable Subjected to Concentrated Loads	p. 315
Cables Supporting Loads Distributed Uniformly along a Horizontal Line	p. 317
Cable Supporting Loads Distributed Uniformly along Its Own Length	p. 319
Problems 8.54-8.70	p. 321
Friction	p. 327
Introduction	p. 328
Coulomb Friction	p. 331
Problems 9.1-9.62	p. 338
Wedges	p. 345
Problems 9.63-9.81	p. 349
Square-Threaded Screws	p. 351
Problems 9.82-9.96	p. 355
Belt Friction	p. 356
V-belts	p. 358
Bearings	p. 359
Thrust Bearings, Collars, and Clutches	p. 362
Rolling Resistance	p. 363
Problems 9.97-9.117	p. 364
Moments of Inertia	p. 369
Introduction	p. 370
Second Moment of an Area	p. 370
Determination of the Second Moment of an Area by Integration	p. 371
Polar Moment of Inertia	p. 371
Second Moment of an Area about Centroidal Axes for Specific Areas	p. 372
Problems 10.1-10.21	p. 373
Parallel-Axis Theorem for the Second Moment of Area	p. 374
Radius of Gyration of an Area	p. 376
Problems 10.22-10.32	p. 377
Second Moments of Composite Areas	p. 378
Problems 10.33-10.45	p. 381
Principal Second Moments of Area	p. 382
Product Moment of an Area, or Product Moment of Inertia	p. 383
Rotation of Axes	p. 383
Problems 10.46-10.59	p. 387
Mohr's Circle to Determine Principal Second Moments of Area	p. 389
Problems 10.60-10.73	p. 391
Eigenvalue Problem	p. 392
Problems 10.74-10.87	p. 394
Mass Moments of Inertia	p. 396
Parallel-Axis Theorem	p. 397
Problems 10.88-10.102	p. 399
Virtual Work	p. 405
Introduction	p. 406
Work-By a Force or Moment	p. 406
Virtual Work	p. 407
Principle of Virtual Work for a System of Connected Rigid Bodies	p. 408
Problems 11.1-11.28	p. 411
Finite Work of a Force and Moment	p. 415
Problems 11.29-11.34	p. 418
Conservative Forces and Potential Energy	p. 419
Potential Energy and Equilibrium	p. 422
Stability of Equilibrium	p. 423
Problems 11.35-11.60	p. 425
Appendix	p. 431
Solution of Systems of Linear Equations	p. 431
Gauss-Jordan Reduction	p. 431
Inverse of a Matrix	p. 433
Solution of Vector Equations	p. 435
Statics Index Dictionary	p. 439
Answers	p. 449
Index	p. 465
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