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Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

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1. TABLE OF CONTENTS

• TABLE OF CONTENTS 2
• MECHANICAL DESIGN 9
• BASIC PHILOSOPHY 9
• TYPICAL MECHANICAL FUNCTIONS 9
• REFERENCES 10
• FORCES 11
• SOME BASIC CONCEPTS 12
• VECTOR AND SCALAR FORCES 13
• EQUILLIBRIUM 38
• THE BASIC EQUATIONS OF STATICS 39
• FREE BODY DIAGRAMS (FBD) 44
• PRACTICE PROBLEMS 51
• MOMENTS 53
• CALCULATING SCALAR AND VECTOR MOMENTS 56
• FORCE COUPLES TO MAKE CENTERLESS MOMENTS 64
• MECHANISMS 79
• REACTIONS AND SUPPORTS 79
• EQUILLIBRIUM OF FORCES AND MOMENTS 82
• SPECIAL CASES 90
• STATICALLY INDETERMINATE 91
• TRUSSES AND FRAMES 93
• WHAT ARE TRUSSES? 93
• STABILITY OF TRUSSES 99
• THE METHOD OF JOINTS 102
• THE METHOD OF SECTIONS 114
• METHOD OF MEMBERS 122
• SUMMARY 132
• DRY STATIC FRICTION 132
• THE BASIC PHYSICS OF FRICTION 132
• APPLICATIONS OF FRICTION 137
• FORCES 150
• INTRODUCTION 150
• SOME BASIC CONCEPTS 151
• VECTOR VS. SCALAR QUANTITIES 152
• MATH REVIEW 153
• RECTANGULAR FORM OF VECTORS 158
• POLAR FORM OF VECTORS 159
• EQUILLIBRIUM 187
• INTRODUCTION 187
• THE BASIC EQUATIONS OF STATICS 187
• FREE BODY DIAGRAMS (FBD) 196
• PRACTICE PROBLEMS 205
• STRESS 208
• INTRODUCTION 208
• TYPES OF STRESS 210
• STRESS ANALYSIS 214
• STRAIN CAUSED BY AXIAL LOADS 219
• STRESS STRAIN CURVES 220
• ANALYSIS OF MEMBERS 222
• GENERALIZED STRESS 225
• REFERENCES 229
• STRESS ON OBLIQUE PLANES 229
• SHEAR STRAIN 232
• POISSON'S RATIO 236
• GENERALIZED HOOKES LAW 238
• REFERENCES 239
• MOMENTS 240
• INTRODUCTION 240
• CALCULATING SCALAR MOMENTS 244
• CALCULATING VECTOR MOMENTS 247
• MOMENTS ABOUT AN AXIS 251
• EQUILLIBRIUM OF MOMENTS 256
• FORCE COUPLES TO MAKE CENTERLESS MOMENTS 260
• TORSION 276
• INTRODUCTION 276
• THE RELATIONSHIP BETWEEN STRESS AND STRAIN IN TORSION 280
• PRACTICE PROBLEMS 285
• REFERENCES 286
• MASS PROPERTIES 287
• INTRODUCTION 287
• CENTRE OF MASS 290
• CENTROIDS 293
• FORCES AND MOMENTS ON RIGID BODIES 311
• INTRODUCTION 311
• REACTIONS AND SUPPORTS 311
• EQUILLIBRIUM OF FORCES AND MOMENTS 314
• SPECIAL CASES 323
• STATICALLY INDETERMINATE 324
• TRUSSES AND FRAMES 331
• INTRODUCTION 331
• WHAT ARE TRUSSES? 331
• STABILITY OF TRUSSES 336
• THE METHOD OF JOINTS 339
• THE METHOD OF SECTIONS 352
• ADDITIONAL TOPICS 361
• STRESS FAILURE 363
• FACTOR OF SAFETY 363
• REFERENCES 367
• STRAIN FAILURE 368
• POISSON'S RATIO 369
• GENERALIZED HOOKES LAW 372
• STRESS CONCENTRATIONS 373
• TORSION STRESS CONCENTRATIONS 379
• REFERENCES 380
• METHOD OF MEMBERS 381
• INTRODUCTION 381
• REFERENCES 391
• SUMMARY 391
• REFERENCES 391
• INTERNAL FORCES IN MEMBERS 392
• INTRODUCTION 392
• PRACTICE PROBLEMS 405
• REFERENCES 409
• MOMENTS OF INERTIA 410
• INTRODUCTION 410
• STRESSES IN BEAMS 410
• MOMENT CURVATURE IN BEAMS 412
• EVALUATING THE SECOND MOMENT OF INERTIA 414
• MOMENTS OF INERTIAS B COMPOSITE AREAS 415
• POLAR MOMENT OF INERTIA 419
• REVIEW OF BASIC CALCUATIONS 421
• PRODUCT OF INERTIA 433
• REFERENCES 435
• PURE BENDING 436
• INTRODUCTION 436
• TRANSVERSE SHEAR 440
• REVIEW OF TRANSVERSE LOADING 445
• REFERENCES 447
• DRY STATIC FRICTION 448
• INTRODUCTION 448
• THE BASIC PHYSICS OF FRICTION 448
• APPLICATIONS OF FRICTION 454
• MASS PROPERTIES 468
• CENTRE OF MASS 471
• CENTROIDS 474
• MOMENTS OF INERTIA 486
• PRODUCT OF INERTIA 496
• INTERNAL FORCES IN MEMBERS 498
• STRESS 507
• TYPES OF STRESS 508
• STRESS ANALYSIS 512
• STRESS ON OBLIQUE PLANES 517
• GENERALIZED STRESS 519
• FACTOR OF SAFETY 522
• STRAIN 526
• STRAIN CAUSED BY AXIAL LOADS 526
• STRESS STRAIN CURVES 527
• ANALYSIS OF MEMBERS 529
• POISSON'S RATIO 533
• GENERALIZED HOOKES LAW 535
• SHEAR STRAIN 535
• STRESS CONCENTRATIONS 540
• TORSION 543
• TORSION STRESS CONCENTRATIONS 546
• PURE BENDING 548
• TRANSVERSE LOADING 551
• MECHANISM DYNAMICS 555
• INTRODUCTION 555
• PLANAR 556
• PRACTICE PROBLEMS 563
• REFERENCES 564
• VIBRATION 565
• VIBRATION MODELLING 565
• CONTROL 572
• VIBRATION CONTROL 577
• VIBRATION MEASUREMENT 584
• VIBRATION SIGNALS 586
• VIBRATION TRANSDUCERS 587
• DEALING WITH VIBRATIONS 591
• RESOURCES 592
• PRACTICE QUESTIONS 592
• SOUND/VIBRATIONS TERMS 598
• REFERENCES 599
• INTERNAL COMBUSTION ENGINES 600
• POWER 600
• KINEMATICS AND DYNAMICS 603
• REFERENCES 605
• SOUND CONTROL 606
• BASIC PROPERTIES OF SOUND 606
• SOUND MEASUREMENTS 612
• THE HUMAN EFFECTS OF SOUND 614
• NOISE CONTROL REGULATIONS 626
• SOUND ANALYSIS INSTRUMENTS/TECHNIQUES 632
• EQUIPMENT GENERATED NOISE 642
• ROOM ACCOUSTICS 646
• ENCLOSURES, BARRIERS AND WALLS 654
• MATERIALS 663
• MUFFLERS 664
• SOUND AND VIBRATION CONTROL STUDIES 671
• AKNOWLEDGEMENTS 671
• PRACTICE QUESTIONS 671
• INTRODUCTION TO KINEMATICS OF MECHANISMS 685
• SOME POPULAR MECHANISMS 687
• SKELETON DIAGRAMS FOR MECHANISMS 694
• DOF AND THE KUTZBACH/GRUEBLER CRITERION 695
• KINEMATIC/GEOMETRIC INVERSION 698
• GRASHOF'S LAW 700
• MECHANICAL ADVANTAGE 702
• PRACTICE PROBLEMS 703
• REFERENCES 704
• POSITIONS/DISPLACEMENTS OF POINTS AND MECHANISMS 705
• MATHEMATICAL TOOLS 705
• DEFINING POSITIONS AND DISPLACEMENTS 706
• CLOSED LOOP MECHANISMS 710
• SOLVING FOR POSITIONS 710
• GRAPHING OF POSITIONS 716
• DISPLACEMENT, TRANSLATION AND ROTATION 718
• PRACTICE PROBLEMS 721
• REFERENCES 721
• MECHANISM VELOCITY 723
• THE BASIC RELATIONSHIPS 723
• CALCULATION TECHNIQUES 725
• INSTANTANEOUS CENTERS OF ROTATION 730
• PRACTICE PROBLEMS 740
• REFERENCES 742
• MECHANISM ACCELERATION 743
• THE BASIC DEFINITION 743
• INSTANT CENTERS OF ACCELERATION 751
• PRACTICE PROBLEMS 751
• REFERENCES 751
• LINKAGE SYNTHESIS 752
• SELECTION OF MECHANISM TYPES 752
• DESIGN METHODS - SYNTHESIS 753
• DESIGN METHODS - DIMENSIONAL 755
• REFERENCES 761
• SPATIAL KINEMATICS 762
• BASICS 762
• HOMOGENEOUS MATRICES 764
• SPATIAL DYNAMICS 776
• DYNAMICS FOR KINEMATICS CHAINS 781
• REFERENCES 784
• PRACTICE PROBLEMS 785
• MECHANICAL COMPONENTS 798
• CAM DESIGN 799
• CAM TYPES 799
• CAM MOTION 801
• USING CAMS AS JOINTS IN MECHANISMS 812
• PRACTICE PROBLEMS 812
• REFERENCES 814
• GEARS 815
• SPUR GEARS 815
• HELICAL GEARS 826
• BEVEL GEARS 832
• WORM GEARS 834
• REFERENCES 838
• DESIGN OF MECHANISMS 838
• SIMPLE GEAR TRAINS 838
• LINKAGES 848
• PRACTICE PROBLEMS 848
• REFERENCES 848
• STATIC ANALYSIS OF GEARS 848
• INTRODUCTION 848
• ANALYSIS OF GEARS 849
• PRACTICE PROBLEMS 850
• REFERENCES 850
• MECHANICAL COOKBOOK 851
• TRANFORMING DEVICES 851
• REFERENCES 852
• A MECHANICAL COOKBOOK 853
• CONNECTORS 853
• MOTION/FORCE TRANSMISSIONS 866
• POWER TRANSMISSION 871

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