A Manual of Applied Mechanics

الغلاف الأمامي
Griffin, 1864 - 648 من الصفحات
 

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المحتويات

50 Section 2 Inclined Forces applied to a System of Points 58 Forces acting in one Plane Pago Graphic Solution 89
39
tion by Rectangular Coordinates
40
Any system of Forces
41
On Parallel Projections in Statics 45 48 48 61 Parallel Projection of a Figure de fined 62 Geometrical Properties of Parallel Projections
45
Application to Parallel Forces Chapter V
46
Restriction of the 6nbject to Par allel Distributed Forces 68 Intensity of a Distributed Force
48
Of Weight and Centres of Gravity 69 Specific Gravity 70 Centre of Gravity 71 Centre of Gravity of a Homoge neous Body having a Centre of Figu...
49
Parallelogram of Forces Forces acting through one Point
51
Centre of Gravity found by Addi tion 76 Centre of Gravity found by Sub traction
53
Centre of Gravity altered by Trans
54
Conservation of Momentum 505
57
Application to Centres of Parallel Forces
64
Application to Inclined Forces acting through one Point 46
65
its Composition and Resolution 96 Internal Stress in general 97 Simple Stress and its Normal In tensity 98 Reduction of Simple Stress to an Oblique P...
82
83
83
Compound Stress
84
Pair of Conjugate Stresses
85
Three Conjugate Stresses
86
Planes of Equal Shear or Tan gential Stress
87
Stress on three Rectangular Planes
89
Tetraedron of Stress
91
Transformation of Stress
92
Principal Axes of Stress 108 Stress Parallel to one Plane 109 Principal Axes of Stress Parallel 90 92 93 95 98 position 78 Centres of Gravity of Pris...
93
Centre of Uniformly Varying StressConjugate Axis
94
Moments of Inertia of a Surface
95
to one Plane
96
Equal Principal StressesFluid Pressure
99
Opposite Principal Stresses com posing Shear
101
Ellipse of StressProblems
107
Combined Stresses in one Plane 101 101
111
Of the Internal Equilibrium of Stress and Weight and the piinciptes of Hydrostatics 114 Varying Internal Stress
112
GeneralProbleinoflivternalEqui librium
113
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
formly Sloping Solid
126
On the Parallel Projection of Stress and Weight
127
On Stable and Unstable Equilibrium
128
Beam under Parallel Forces 183
134
Open Polygonal Frame
140
Compound Trusses
149
Halflattice Girder Uniform Load
156
Transformation of Frames
162
Suspension Bridge with Vertical
168
Stability at a Plane Joint 228
206
principles that have been long and widely known mingled with
209
Principle of Least Resistance
215
Table of Examples
221
Structure not laterally pressed
233
Towers and Chimnevs
240
Dams or Reservoirfrails
253
Trapezoidal Walls
264
by Dr Joule and Dr Thomson and the true equations of
265
240
270
Displacements
276
is explained in this work viz that which relates to the equili
277
Ellipsoid of Strain
283
Varied Rate of Variation of Velo
362
PRINCIPLES OF CINEMATICS OR THE COMPARISON
379
Cylinder rolling on Cylinder
400
425
425
On Elementary Combinations and Trains of Mechanism Section 1 Rolling Contact 437 PitchSurfaces
426
Circular Cylindrical Wheels
427
BevelWbeels
428
NonCircular Wheels
429
Sliding Contact 444 SkewBevel Wheels
430
Grooved Wheels or Factional Gearing
431
Teeth of WheelsDefinitions and General Principles
432
Pitch and Number of Teeth
433
Hunting Cog
434
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
4G6 Mr Sangs process for Describing Teeth
448
Teeth of SkewBevel Wheels
449
Normal and Circular Pitch 4 SO 473 Screw Gearing
451
Wheel and Screw
452
Relative Slidingof Pairof Screws
453
BeltsCordsChains4 H 479 Principle of Connection by Bands
454
Pitch Surface of u Pulley or Drum
455
Length of an Endless Belt
456
Speed Cones
457
Linkworh 484 Definitions
458
Dead Points
459
Eccentric
460
Hookes Universal Joint
461
Double Hookes Joint
462
VelocityRatio
463
Whites Tackle
464
Hydraulic Press
465
General Principles
466
Differential Windlass 605 Compound Screws
467
506 Link Motion
469
5C7 Parallel Motions
471
Epicyclic Trains
473
First Law of Motion
476
On the Varied Translation of Points and Rigid Bodies
482
Motion along an Inclined Path
489
Straight Oscillation
495
Waves of Vibration
502
566
508
Motion of a Rigid Body in General
514
No Centre of Percussion
520
Ellipsoid of Inertia
527
Actual Energy of Rotation
533
Motions of Pliable Bodies
552
Division of the Subject
566
Contracted Vein
572
Vertical Revolution
578
General Laws of Fluid Friction
584
Mutual Impulse of Fluids
591
Centrifugal Pumps and Fans
597
Nature and Division of the Subject
609
Centrifugal Forces and Couples
621
WaterPressure Engines
627
Table of Specific Gravities of Materials
637
468
638
469
645
473
647

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الصفحة 514 - ... of those parts into the square of the distance of its centre of gravity from the axis, adding the products together, and finding the value towards which their sum converges when the size of the small parts is indefinitely diminished.
الصفحة 5 - ... which he finds in treatises on dynamics, and should make no allowance for the imperfection of his materials, his whole apparatus of beams, wheels, and ropes would soon come down in ruin, and, with all his geometrical skill, he Would be found a far inferior builder to those painted barbarians who, though they never heard of the parallelogram of forces, managed to pile up Stonehenge.
الصفحة 5 - If the engineer, who has to lift a great mass of real granite by the instrumentality of real timber and real hemp, should absolutely rely on the propositions which he finds in treatises on Dynamics, and should make no allowance for the imperfection of his materials, his whole apparatus of beams, wheels, and ropes would soon come down in ruin...
الصفحة 1 - ... complete and most mischievous development amongst the mediaeval schoolmen, and the remains of whose influence can be traced even at the present day — the fallacy of a double system of natural laws...
الصفحة 56 - ... constant. Let x,, y,, z, be the co-ordinates of the centre of gravity of a flat plate having its middle plane coincident with the given cross-section.
الصفحة 15 - Force is an action between two bodies, either causing or tending to cause change in their relative rest or motion.
الصفحة 7 - Another evil, and one of the worst which arises from the separation of theoretical and practical knowledge, is the fact that a large number of persons, possessed of an inventive turn of mind and of considerable skill in the manual operations of practical mechanics, are destitute of that knowledge of scientific principles which is requisite to prevent their being misled by their own ingenuity. Such men too often spend their money, waste their lives, and it may be lose their reason, in the vain pursuit...
الصفحة 209 - Friction is that force which acts between two bodies at their surface of contact so as to resist their sliding on each other, and which depends on the force with which the bodies are pressed together.
الصفحة 21 - The Arm of a couple is the perpendicular distance between the lines of action of the two forces...
الصفحة 227 - ... ordinary mortar sometimes attains in the course of years a tenacity equal to that of limestone, yet, when fresh, its tenacity is too small to be relied on in practice as a means of resisting tension at the joints of the structure ; so that a structure of masonry or brickwork, requiring, as it does, to possess stability while the mortar is fresh, ought to be designed on the supposition, that the joints have no appreciable tenacity.

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