A Manual of Applied Mechanics

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Charles Griffin and Company, 1872 - 648 من الصفحات
 

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المحتويات

XI
65
Heterogeneous Body
68
90
75
Moments of Inertia ot a Surface
82
Stable and Unstable Equilibrium I 128 Stability of a Fixed Body
127
axd General Principles 431 Elementary Combinations in Me chanism
129
Strut
133
Polygonal FrameEquilibrium
139
Bar common to several Frames
145
Halflattice Girder any Load
153
Lattice Girder any Load
160
Suspension Bridge with Vertical
168
Friction distinguished from
209
Principle of Least Resistance
215
Table of Examples
221
Stability at a Plane Joint
227
Frictional Stability of a Trans
233
Towers and Cbimners
240
Retaining Walls in general
249
Trapezoidal Walls 251
270
Potential Energy of Elasticity
277
300
279
Ellipsoid of Strain
283
Unequal Distribution of
289
limitations
306
Uniform Moment of Flexure
312
Modulus of Rupture ot Cast Iron
318
Proof Deflection of Beams
325
SuddenlyappliedTransverseLoad
332
Beam Fixed at one end and Sup
338
Partiallyloaded Beam
344
Comparative Motion
358
PRINCIPLES OF CINKMATICS OR THE COMPARISON
379
Velocity and Direction of Varied
385
Plane of RotationAngle of
391
iaule Bodies and of Fluids
408
Line of Connection 433 Principle of Connection 434 Adjustments of Speed 435 Train of Mechanism
409
Motions of Fluids
417
424
420
Cam or Wiper 449
421
General Problem of Mechanism stated
422
Motions of Primary Moving Pieces
423
On Elementary Combinations and Trains op Mechanism Section 1 Rolling Contact 437 PitchSurfaces 126 426 438 Smooth Wheels Rollers Racks 45...
426
Circular Cylindrical Wheels
427
442 Bevel Wheels
428
NonCircular Wheels
429
Sliding Contact 444 SkewBevel Wheels
430
Grooved Wheels or Frictional Gearing
431
Epicycloidal Teethleast Pinion
444
Addendum for Epicycloidal Teeth
445
Teeth of Wheel and Trundle
447
Mr Sangs process for Describing Teeth
448
48 Teeth of SkewBevel Wheels
449
On Aggregate Combinations
466
General Principles 466 506 Link Motion
468
First Law of Motion
476
521
482
Motion along an Inclined Path
489
Elliptical Oscillations or Revo
495
Differential Windlass
504
Compound Screws
505
4GG 4G7
507
Determination of Internal Forces
511
No Centre of Percussion
520
Ellipsoid of Inertia
527
Actual Energy of Rotation
533
Varied Rotation about a fixed Axis540
540
6U4 Compound Oscillating Pendulum
546
Motions of Pliable Bodies
557
Superposition of Small Motions
566
V26 Contracted Vein
572
Vertical Revolution
579
and Solids
591
Chapter LWork of Machines with Uniform or Periodic Motion 6U9 Page Section 1 General Principles 658 Useful and Lost Work
610
Mean Efforts and Resistances
611
Equations in terms of Compara tive Motion
612
Unguents
613
Friction of a Sliding Piece 6U 673 Moment of Friction
614
Friction of a Pivot
616
Friction of Teeth
617
Frictional Gearing
618
Stiffness of Ropes
619
Resistance of Railway Trains
620
Centrifugal Forces and Couples 621 689 Fluctuations of Speed 687 Actual Energy of a Machine 688 Reduced Inertia
621
j 691 Starting and StoppingBrakes
624
On Prime Movers 692 Prime Mover defined
625
WaterPressure Engines
626
Water Wheels in General
627
Classes of Water Wheels C28 639 Overshot and Breast Wheels
628
Turbines
629
Efficiency of Heat Engines in General
630
APPENDIX
631
Dimensions and Stability of the Great Chimney of St Rollox 377 631 633 633
642
Epicyclic Trains 469
645
473
647
ERRATA
649

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الصفحة 135 - be the angles made by the lines of action of the supporting forces with that of the resultant of the load ; then because each side of a triangle is proportional to the sine of the angle between the other two,
الصفحة 3 - philosopher, speedily produced a complete revolution throughout the department which was under his direction. He devoted himself to the task with an activity which left him no time to spare for those pursuits in which he had surpassed Archimedes and Galileo. Till the great work was completely done, he resisted firmly, and almost
الصفحة 5 - 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
الصفحة 3 - every attempt that was made by men of science, here or on the Continent, to draw him away from his official duties."* Then the historian proceeds to detail the results of Newton's exertions, and shows, that within a short time after his appointment, the weekly amount of the coinage of silver was increased to
الصفحة 15 - Force is an action between two bodies, either causing or tending to cause change in their relative rest or motion. The notion of force is first obtained directly by sensation; for the forces exerted by the voluntary muscles can be felt. The existence of forces other than muscular tension is inferred from their
الصفحة 56 - being a 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. Then, by reasoning similar to that of Articles 74 and 78, we find the following results for the whole body :— volume weight V
الصفحة 273 - consistent with safety ; that is, with the retention of the strength of the material unimpaired. A stress exceeding the proof strength of the material, although it may not produce instant fracture, produces fracture eventually by long-continued application and frequent repetition. Strength, whether ultimate or proof, is the product of two quantities, which may be called
الصفحة 606 - are overcome in performing useful work and lost work respectively. 660. The Efficiency of a machine is a fraction expressing the ratio of the useful work to the whole work performed, which is equal to the energy expended. The limit to the efficiency of a machine is unity, denoting the efficiency of a perfect
الصفحة 5 - 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

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