A Manual of Applied Mechanics

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Charles Griffin and Company, 1872 - 648 من الصفحات
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Any system of Forces 4
41
ON PARALLEL PROJECTIONS IN STATICs 61 Parallel Projection of a Figure de fined 62 Geometrical Properties of Parallel Projections
45
Application to Parallel Forces
46
Application to any system of Forces
47
Restriction of the subject to Par allel Distributed Forces
48
Qf Weight and Centres of Gravity 69 Specific Gravity
49
System of Symmetrical Bodies
50
Homogeneous Body of any Figure
51
Centre of Gravity found by Addi tion
53
Centre of Gravity altered by Trans position
54
Body with similar CrossSections
56
Curved Rod
57
Approximate Computation of In tegrals
59
Centre of Gravity found by Pro jection
61
Examples of Centres of Gravity
63
viii
65
Heterogeneous Body
68
Classes of Stress
69
Resultant of Stress its Magni tude
70
Centre of stress or of Pressure
71
Centre of Uniform Stress
73
Moment of Bending Stress
75
Moment of Twisting Stress
76
Moments of Inertia or a Surface
77
its Composition and Resolution 96 Internal Stress in general
82
Simple Stress and its Normal In tensity 98 Reduction of Simple Stress to an Oblique Plane
83
Resolution of Oblique Stressinto Nor mal and Tangential Components
84
Pair of Conjugate Stresses
85
Planes of Equal Shear or Tan gential Stress
87
Stress on three Rectangular Planes
88
Tetraedron of Stress
91
Transformation of Stress
92
Principal Axes of Stress
93
Stress Parallel to one Plane
95
Principal Axes of Stress Parallel to one Plane
98
Equal Principal StressesFluid ressure
99
Opposite Principal Stresses com i Shear
101
Ellipse of Stress Problems
105
Combined Stresses in one Plane
110
Of the Internal Equilibrium of Stress and Weight and the principles of Hydrostatics 114 Varying Internal Stress
112
General Problem of Internal Equi librium 117 Equilibrium of Fluids
116
Equilibrium of a Liquid
118
Equilibrium of a Floating Body
120
Pressure on an Immersed Body
122
Apparent Weights
123
Relative Specific Gravities
124
Pressure on an Immersed Plane
125
Pressure in an Indefinite Uni formly Sloping Solid
126
Beam under Inclined Forces
134
Open Polygonal Frame
140
Cord under Parallel Loads
164
Suspension Bridge with Sloping
171
Catenary
177
Circular Arch for Uniform Fluid
183
Arches for Normal Pressure
189
Geostatic Arches
196
Pointed Arches
203
Friction distinguished from
209
Principle of Least Resistance
215
Table of Examples
221
On the Stability of Abut ments and Vaults
226
Stability of a series of Blocks Line of ResistanceLine of Pressures
230
Analogy of Blockwork and Framework
231
On the Parallel Projection of 1 chºr
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
Rectangular Retaining Walls
252
Trapezoidal Walls
254
Foundation Courses of Retaining Walls
255
Arches of Masonry
256
Line of Pressure in an Arch Condition of Stability
257
Angle Jointand Point of Rupture
259
Thrust of an Arch of Masonry
260
Abutments of Arches
261
Groined Vaults
262
Clustered Arches
263
Tunnels
264
Domes 2
265
Strees and Waht 113
267
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
2
273
Determination of Proof strength
274
Resolution and Composition of Strains
275
30 Displacements 376
276
Potential º Elasticity
277
Coefficients of Pliability
278
Isotropic Solid
279
General Problem of Internal Equilibrium of an Elastic Solid
280
Ellipse of Strain
283
Transverse Elasticity of an Iso tropic Substance
284
Cubic Elasticitv
285
On Resistance to Stretching and Tearing 265 Stiffness and Strength of a Tiebar
286
Resilience or Spring of a TieBar Modulus of Resilience
287
Additional dataWelded Joint Iron Wire RopesHempen CablesLeather BeltsChain Cables
288
Thin Hollow CylindersBoilers Pipes
289
Thin fºllow Spheres 290 273 Thick Hollow Cylinder
290
of Strained Rings
294
Slope and Deflection of a Beam
328
Limiting Length of Beam
347
319A Hydrostatic Arch
353
Teeth of Wheels 859
359
Sides of Plate Iron Girders
365
Ribbed Arches
376
Uniform Motion of several
383
Parallelopiped of Motions
384
Velocity and Direction of Varied Motion 8
385
Components of Varied Motion
386
Motions of RIGID Bonies SECTION 1 Rigid Bodies and their Translation 368 Rigid Bodieshow understood
390
Angular Velocity
391
Relative Motion of a pair of Points in a Rotating Body
392
Comparative Motions of two Points relatively to an Axis
393
Combined Rotations and Translations 381 Property of all Motions of Rigid Bodies CHAPTER III Motions of PLIABLE Bodies AND of FLUIDs 3...
394
To find the Motion of a Rigid Body from the Motions of three of its Points
395
Special cases
396
tion in the same Plane
397
Rolling CylinderTrochoids
398
Combined Parallel Rotations
399
Cylinder rolling on Cylinder Spitrochoids
400
Curvature of Epitrochoids
401
Equal and Opposite Parallel Ro tations combined
404
Rolling Cones
405
Comparative Motions in Com pound Rotations
406
Change of the Axis of Rotation
407
Velocity and Flow
410
Principle of Continuity
411
Radiating Current
412
Unsteady Motion
413
Steady Motion
414
Unsteady Motion
415
Wave
416
Motions of Fluids of Varying Density 418 Flow of Volume and Flow of Mass
417
Principle of Continuity 420 Stream
418
Steady Motion
419
Motions of Connected Bodies
420
THEORY OF MECHANISM CIIAPTER I DEFINITIONs Page 425 Theoryof Pure Mechanism defined
421
General Problem of Mechanism stated 427 FrameMoving PiecesCon nectors
422
Motions of Primary Moving Pieces
423
Rolling Contact 437 PitchSurfaces 438 Smooth Wheels 426 Rollers Racks
426
Circular Cylindrical Wheels
427
Bevel Wheels
428
Sliding Contact 444 SkewBevel Wheels
430
Grooved Wheels or Frictional Gearing
431
Teeth of WheelsDefinitions and General Principles
432
Pitch and Number of Teeth
433
Hunting Cog
434
Trains of wºrk
435
Principle of Sliding Contact
437
Teeth of SpurWheels and Racks General Principle
438
Arc of Contact on Pitch Lines
440
Inside Gearing
441
Sliding of Involute Teeth
443
Epicycloidal Teethleast Pinion
444
Addendum for Epicycloidal Teeth
445
Teeth of Wheel and Trundle
447
Teeth of Bevel Wheels
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
Belts Cords Chains
454
Pitch Surface of a Pulley or Drum 435
455
Length of an Endless Belt
456
Speed Cones
457
Linkwork 484 Definitions
458
Coupling of Parallel Axes
459
Eccentric
460
Hookes Universal Joint
461
Double Hookes Joint
462
Velocity of any Ply
463
Hydraulic Connection 498 General Principle
464
Hydraulic Hoist
465
PART W PRINCIPLES OF DYNAMICS Page
475
ON THE WARIED TRANSLATION of Points AND RIGID Bodies
482
Motion along an Inclined Path
489
Elliptical Oscillations or Revo
495
Trains of Elementary Combina
502
tions 465
504
Link Motion
506
Parallel Mºtions
507
RotATIONs of Rigid Bodies
513
522 595 Varied Rotation about a fixed Axis540
522
Resultant Moment of Deviation
528
Uniform Rotation about a Fixed
535
Morlox
552
Division of the Subject
566
Free Spiral Wortex
576
637A Maximum Flow of Gas
582
and Solids
591
Centrifugal Pumps and Fans
597
Oscillations of Floating Bodies
603
Nature and Division of the Subject
609
18
613
gºi fººd EffectsHorsepower Gio 74 ºn ºf an Axe
616
Centrifugal Forces and Couples 621 689 Fluctuations of Speed
622
Prime Mover defined 625 700 Undershot Wheels
628
19
632
Table of the Resistance of Materials to Breaking Across
634
WII Dimensions and Stability of the Great Chimney of St Rollox
640
417
642

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