A Manual of Applied Mechanics

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C. Griffin and Company, Limited, 1898 - 676 من الصفحات
 

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المحتويات

Examples of Centres of Gravity
63
CONTENTS XI
64
CONTENTS xiii
66
Stressits Nature and Intensity
69
No Centre of Percnssion 622
72
Moment of Bending Stress
75
Equilibrium of Fluids
117
Apparent Weights
123
THEORY OF STRUCTURES Chapter I Definitions and General Principles 129 Structures PiecesJoints 129 131 Conditions of Equilibrium of a 130 S...
129
Stability Strength and Stiffness
130
Centre of Resistance of a Joint
134
Line of Resistance
135
Joints Classed Section 1 Equilibrium and Stability of Frame
136
Frame
137
Tie
138
Strut 140 Treatment of the Weight of a Bar 141 Beam under Parallel Forces 142 Beam under Inclined Forces 143 Load supported by three Parallel F...
139
Open Polvgonal Frame 152 Polygonal FrameStability
140
Polygonal Frame under Parallel Forces
141
Open Polvgonal Frame under Parallel Forces
142
Bracing of Frames
143
Rigidity of a Truss
144
Bar common to several Frames
145
Compound Trusses
149
Resistance of Frame at a Section
150
Ha flattice Girder anv Load
153
Halflattice Girder Uniform Load
156
Lattice Girder any Load
160
Lattice Girder Uniform Load
161
J66 Transformation of Frames
162
Cord under Parallel Loans
164
Suspension Bridge with Vertical Rods
168
Flexible Tie
169
Stability 131 j 172 Suspension Bridge with Sloping 131 Rods 171
171
173 Extrados and Intrados
173
Cord with Horizontal Extrados
175
Catenary
177
Centre of Gravity of a Flexible Structure
180
Linear Arches or Ribs
182
Circular Arch for Uniform Fluid Pressure
183
Elliptical Arches for Uniform Pressures
184
Distorted Elliptic Arch
186
Arches for Normal Pressure in general
189
Hvdrostatic Arch see also p 353
190
Geostatic Arihes
196
Stereostatic Arch
198
Pointed Arches
203
Approximate Hydrostatic and Geostatic Arches
207
principles that have been long and widely known mingled with
209
Angle of Kepose
210
Table of Coefficients of Friction and Angles of Repose
211
Frictional Stability of Earth
212
Mass of Earth with Plane Surface214
214
Principle of Least Resistance
215
Earth Loaded with its own Weight216
216
Pressure of Earth against a Ver tical Plane
218
Supporting Power of Enrth Koundations
219
Table of Examples
221
Frictional Tenacity or Bond of Masonry and Brickwork
222
Friction of Screws Keys and Wedges
226
Stability at a Plane Joint
229
Stability of a series of Blocks Line of ResistanceLine of Pressures
230
Analogy of Bloclcwork and Framework
231
Structures
232
Frictional Stability of a Trans formed Structure
233
Abutments classed
235
Rectangular Buttress
238
Towers and Chimneys
240
Dams or ReservoirWalls
243
Retaining Walls in general
249
Trapezoidal Walla
254
Foundation Courses of Retaining Walls 255
255
Arches of Masonry
256
Line of Pressure in an Arch Condition of Stability
257
Angle Jointand Point of Rupture 259
259
Thrust of an Arch of Masonry 260
260
Abutments of Arches
261
Groined Vaults 230 Clustered Arches 231 Piers of Arches 232 Open and Hollow Piers Abutments
263
Tunnels 234 Domes 23 5 Strength of Abutments and Vaults268
268
Strength and Stiffness Section 1 Summary of General Principles 236 Theory of Elasticity
270
Liquid Elasticity
271
Strain and Fracture
272
Strength Ultimate and Proof ToughnessStiffnessSpring
273
Determination of Proof Strength
274
Divisions of Mathematical Theory of Elasticity
275
Displacements
276
is explained in this work viz that which relates to the equili
277
Coefficients of Pliability
278
Isotropic Solid
279
General Problem of Internal Equilibrium of an Elastic Solid
280
Ellipse of Strain
281
Ellipsoid of Strain
283
Transverse Elasticity of an Iso tropic Substunce
284
Cubic Elasticity 2R5 164 Fluid Elasticity 2tft Section 3 On Resistance to Stretching and Tearing 265 Stiffness and Strengthof a Tiebar
286
Resilience or S pring of a Tie Bar Modulus of Resilience
287
Additional dataSteel Wire Steel Wire Ropes Phosphor Bronze WireHempen Cables Leather BeltsChain Cables
288
Thin Hollow CvlindersBoilers Pipes
289
Thin Hollow spheres
290
Cylinder of Strained Rings
294
Thick Hollow Sphere 29 r 276 Boiler Stays
297
On Resistance to Shearing 278 Condition of Uniform Intensity
298
Explanation of Table of Resist ance of Materials to Shearing and Distortionsee p b60
299
Fastenings of Timber Ties
301
On Resistance to Direct Compression and Crushing 282 Resistance to Compression
302
limitations
306
Uniform Moment of Flexure
312
Modulos of Rupture of Cast Iron
318
Deflection found by Graphic Con
326
Inclined Forcet applied
331
30j Suddenly applied Transverse Load
332
Beam Fixed at one end and Sup
338
Unsteady Motion
413
Steady Motion
419
THEORY OF MECHANISM CnArrES I Definitions and General Principles Paee 425 Theoryof Pure Mechanism defined421
421
General Problem of Mechanism stated
422
Motions ofPrimaryMoving Pieces
423
Elementary Combinations in Me chanism 432 Line of Connection 433 Principle of Connection 434 Adjustments of Speed 435 Train of Mechanism 4...
424
425
425
On Elementary Combinations and Trains or Mechanism Section 1 Rolling Contact 487 PitchSurfaces
426
Circular Cylindrical Wheels
427
Bevel Wheels
428
NonCircular Wheels
429
Sliding Contact
430
SkewBevel Wheels
431
Teeth of WheelsDefinitions and General Principles
432
Pitch and Number of Teeth
433
Hunting Cog
434
Trains of Wheelwork
435
Principle of Sliding Contact
437
Teeth of SpnrWheels and Racks General Principle
438
Sliding of a pair of Teeth see also 455 45K 462a
439
Arc of Contact on Pitch Lines
440
Inside Gearing
441
Sliding of Involute Teeth
443
EpicycloidalTeethleast Pinion
444
Addendum tor Epicvcloidal Teeth
445
Teeth of Wheel and Trundle
447
Sangs process for Describing Teeth
448
Teeth of SkewBevel Wheels
449
Normal and Circular Pitch
450
Screw Gearing
451
Wheel and Screw
452
Relative Sliding of Pair of Screws
453
Belt8CordsCh nns154
454
Pitch Surface ofaPulleyor Drum
455
Length of an Endless Belt
456
Speed Cones
457
Linhcork 484 Definitions
458
Dead Points
459
Eccentric
460
Hookes Universal Joint
461
Double Hookes Joint
462
Velocity of any Ply 403
464
Hydraulic Press
465
On Aggregate Combinations
466
First Law of Motion
476
On the Varied Translation of Points and Rioid Bodies
482
Projectile Unresisted
489
Simple Oscillating Pendnlum
497
General Principles 466 506 Link Motion
503
Varied Translation
505
Rotations op Rigid Bodies
513
Moments of Inertia about Inclined Axes 622
522
Principal Axes of Inertia 624
524
Ellipsoid of Inertia 626
529
Angular Momentum
530
Actual Energy of Rotation
532
Free Rotation
533
Uniform Rotation about a Fixed Axis
535
Energy and Work of Couples 587
538
Varied Rotation about a fixed Axi s5 Hi 596 Analogy of Varied Rotation and Varied Translation
541
Gyration or Angular Oscillation
542
Single Force applied to a Body with a Fixed Axis
543
Properties of the Centre of Per cussion
544
Fixed Axis
545
Compound Oscillating Pendulum Centre of Oscillation
546
Compound Revolving Pendulum
547
S07 Ballistic Pendulum
549
Motions of Pliable Bodies 08 Nature of the SubjectVibration
552
09 Isochronous Vibration Condi tion of Isochronism
553
10 Vibrations of a Mass held by a light Spring
554
11 Superposition of Small Motions
555
Motions of 17 Division of the Subject Section 1 Motion of Liquids without Friction
566
18 General Equations
567
Dynamic Head 668
568
Total Energy
569
23 Free Surface 670
570
626 Contracted Vein
572
Surfaces of Equal Head
573
Radiating Current
574
31 Free Spiral Vortex 676
576
34 Vertical Revolution 678
578
Motions of Gases without Friction 85 Dynamic Head in Gases 679
579
37 Flow of Gas from an Orifice 681
582
Motions of Liquids with Friction 88 General LawB of Fluid Friction
584
FluidsHydrodynamics 566
586
Hydraulic Mean Depth
587
Friction in a Pipe running full
588
Resistance of Mouthpieces
589
General Problem 690
590
Mutual Impulse of Fluids and Solvls 648 Pressure of a Jet against a fixed Surface 691
591
Pressure of a 1 et against a moving Surface
593
Pressure of a Forced Vortex against a Wheel 695
595
Centrifugal Pumps and Fans
597
Pressure of a Current 698
598
Stability of Floating Bodies Metaccntre of a Ship
600
Oscillations of Floating Bodies
603
Differential Windlass 466 5C7 Parallel Motions
604
Compound Screws 467 I 508 Epicyclic Trains
605
82
608
ruga
609
WaterPressure Engines
626
Continuous Girders
634
Continuous Brakes
640
Glasgow University May 1858
642
468
644
Action between a Fluid and
656
PistonWork of AirWork of Steam 604
664
86
665
469
672
matter introduced bearing on recent Science and Practice
24

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