Engineering mechanics: Statics; 1th Edition

Cover......Page 1
Title Page......Page 2
Copyright......Page 3
Table of Contents......Page 8
Preface......Page 14
1.1 Engineering and Statics......Page 34
1.2 A Brief History of Statics......Page 36
Isaac Newton (1643–1727)......Page 37
1.3 Fundamental Principles......Page 38
Newton’s laws of motion......Page 40
1.4 Force......Page 41
Dimensional homogeneity and unit conversions......Page 42
Prefixes......Page 43
Angular measure......Page 44
Accuracy of calculations......Page 45
1.6 Newton’s Law of Gravitation......Page 48
Relationship between specific weight and density......Page 49
1.7 Failure......Page 53
1.8 Chapter Review......Page 55
Introduction—force, position, vectors, and tides......Page 60
Denoting vectors in figures......Page 62
Basic vector operations......Page 63
Performing vector operations......Page 65
Resolution of a vector into vector components......Page 66
Unit vectors......Page 77
Cartesian vector representation......Page 78
Addition of vectors using Cartesian components......Page 80
Position vectors......Page 81
Direction angles and direction cosines......Page 93
Position vectors......Page 94
Some simple structural members......Page 95
2.4 Vector Dot Product......Page 109
Dot product using Cartesian components......Page 110
Determination of the component of a vector in a particular direction......Page 111
Determination of the component of a vector perpendicular to a direction......Page 112
2.5 Vector Cross Product......Page 124
Cross product using Cartesian components......Page 125
Evaluation of cross product using determinants......Page 126
Scalar triple product......Page 128
2.6 Chapter Review......Page 137
3.1 Equilibrium of Particles in Two Dimensions......Page 144
Free body diagram (FBD)......Page 145
Modeling and problem solving......Page 149
Cables and bars......Page 150
Pulleys......Page 152
Reactions......Page 153
Cables......Page 168
Springs......Page 169
Solution of algebraic equations......Page 181
Summing forces in directions other than x, y, or z......Page 183
Objectives of design......Page 194
Particle equilibrium design problems......Page 195
3.5 Chapter Review......Page 208
4.1 Moment of a Force......Page 214
Scalar approach......Page 215
Vector approach......Page 216
Varignon’s theorem......Page 218
Which approach should I use: scalar or vector?......Page 219
Vector approach......Page 231
Scalar approach......Page 232
4.3 Moment of a Couple......Page 241
Comments on the moment of a couple......Page 242
Equivalent couples......Page 243
Moments as free vectors......Page 244
Transmissibility of a force......Page 254
Equivalent force systems......Page 255
Some special force systems......Page 257
Wrench equivalent force systems......Page 258
Why are equivalent force systems called equivalent?......Page 259
4.5 Chapter Review......Page 271
5.1 Equations of Equilibrium......Page 278
Reactions......Page 279
Free body diagram (FBD)......Page 281
Alternative equilibrium equations......Page 283
Gears......Page 284
Examples of incorrect and/or incomplete FBDs......Page 285
Treatment of cables and pulleys......Page 303
Springs......Page 304
Superposition......Page 305
Supports and fixity......Page 306
Static determinacy and indeterminacy......Page 307
Two-force and three-force members......Page 309
More on bearings......Page 325
Scalar approach or vector approach?......Page 327
Examples of correct FBDs......Page 328
Examples of incorrect and/or incomplete FBDs......Page 330
5.5 Engineering Design......Page 345
Codes and standards......Page 347
Design problems......Page 348
5.6 Chapter Review......Page 354
6.1 Truss Structures and the Method of Joints......Page 362
Method of joints......Page 364
Zero-force members......Page 366
Typical truss members......Page 368
6.2 Truss Structures and the Method of Sections......Page 379
Treatment of forces that are not at joints......Page 381
Static determinacy and indeterminacy......Page 382
Design considerations......Page 384
6.3 Trusses in Three Dimensions......Page 396
Stability of space trusses and design considerations......Page 397
Analysis procedure and free body diagrams (FBDs)......Page 405
Examples of correct FBDs......Page 406
Examples of incorrect and/or incomplete FBDs......Page 408
6.5 Chapter Review......Page 421
Introduction – center of gravity......Page 428
Centroid of a line......Page 430
Centroid of a volume......Page 431
Which approach should I use: composite shapes or integration?......Page 432
Finer points: surfaces and lines in three dimensions......Page 433
Center of mass......Page 446
Center of gravity......Page 447
Area of a surface of revolution......Page 458
Proof of the Pappus–Guldinus theorems......Page 459
Distributed forces applied to beams......Page 465
Fluid and gas pressure......Page 466
Forces produced by fluids......Page 468
Forces produced by gases......Page 470
7.5 Chapter Review......Page 483
Why are internal forces important?......Page 490
Internal forces for slender members in two dimensions......Page 491
Determination of internal forces......Page 492
Shear and moment diagrams......Page 500
Relations among V, M, and w......Page 511
Determination of V and M using integration......Page 512
Which approach should I use?......Page 513
Tips and shortcuts for drawing shear and moment diagrams......Page 514
Design considerations......Page 515
8.4 Chapter Review......Page 524
A brief history of tribology......Page 530
A simple experiment......Page 531
Coefficients of friction......Page 532
Problems with multiple contact surfaces......Page 534
Design considerations......Page 535
Determination of sliding directions......Page 546
Equilibrium analysis......Page 554
9.4 Chapter Review......Page 562
An example—test scores......Page 566
Definition of area moments of inertia......Page 567
What are moments of inertia used for?......Page 568
Radius of gyration......Page 569
Evaluation of moments of inertia using integration......Page 570
10.2 Parallel Axis Theorem......Page 578
Use of parallel axis theorem for composite shapes......Page 579
Definition of mass moments of inertia......Page 586
What are mass moments of inertia used for?......Page 587
Parallel axis theorem......Page 588
Evaluation of moments of inertia using integration......Page 589
Evaluation of moments of inertia using composite shapes......Page 590
10.4 Chapter Review......Page 605
A Technical Writing.......Page 612
B Answers to Selected Problems......Page 616
Credits......Page 618
Index......Page 620