A Manual of Applied Mechanics

Front Cover
Griffin, 1864 - Mechanical engineering - 648 pages
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Contents

On Parallel Projections in Statics
45
CONTENTS vii
46
Parallelogram of Forces 35 Forces acting through bne Point
51
Centre of Gravity fonnd by Sub
53
Approximate Computation of
59
Heterogeneous Body
68
Moment of Bending Stress
75
Xo Centre of Percussion 622
91
Of the internal Equilibrium
112
Equilibrium of a Liquid
118
Relative Specific Gravities
125
On Stable and Unstable Equilibrium Page I Paw 127 Stable and Unstable Equilibrium 128 Stability of a Fixed Body
128
THEORY OF STRUCTURES Chapter I Definitions and General Principles 129 StructuresPiecesJoints 129 131 Conditions of Equilibrium of a 130 Su...
129
Stability Strength and Stiffness
130
172 Suspension Bridge with Sloping 131 133 Resultant Gross Load 134 Centre of Resistance of a Joint 135 Line of Resistance
131
Joints Classed Section 1 Equililrium ai ofFrames 137 Frame
132
Strut
133
Beam under Inclined Forces
134
Load supported by three Parallel Forces
135
Frame of Two BarsEquilibrium
136
Triangular Frame
137
Triangular Frame under Parallel Forces
138
Polygonal FrameEquilibrium
139
Open Polygonal Frame
140
Polygonal Frame under Parallel Forces
141
Open Polygonal Frame under Parallel Forces
142
Bracing of Frames
143
Rigidity of a Truss 157 Variations of Load on Truss 158 Bar common to several Frames 159 Secondary TrussingExamples from Roofs
145
Compound Trusses
149
Resistance of Frame at a Section
150
Haflattice Girder any Load 163 Halflattice Girder Uniform Load
156
Lattice Girder any Load
160
Lattice Girder Uniform Load
161
Transformation of Frames
162
Cord under Parallel Loads
164
Suspension Bridge with Vertical Rods
168
Flexible Tie
169
173 Extrados and Intrados 142 142 114 144 145 145 148 150 153 180 181 182 183 114 186 189
171
Catenary
177
Centre of Gravity of a Flexible Structure
180
Transformation of Cords and Chains
183
Elliptical Arches for Uniform Pressures
184
Distorted Elliptic Arch
185
Arches for Normal Pressure in general
189
Hydrostatic Arch see also 319a
190
Geostatic Arches
196
Stcreostatic Arch
198
Pointed Arches
203
Approximate Hydrostatic and Geostatic Arches
207
principles that have been long and widely known mingled with
209
Angle of Repose
210
Table of Coefficients of Friction and Angles of Repose
211
Frictional Stabilityof Plane Jointsill 194 Frictional Stability of Earth
212
Mass of Earth with Plane Surface2l4
214
Principle of Least Resistance
215
Earth Loaded with its ownWeight216
216
Pressure of Earth against a Ver tical Plane
218
Supporting Power of Earth Foundntinns
219
Abutting Power of Earth
220
Table of Examples
221
Frictional Tenacity or Bond of Masonry and Brickwork
222
Friction of Screws Keys and Wedges
226
Stability of n series of Blocks Line of ResistanceLine of Pressures
230
Analogy of Blockwork and Framework
231
Structures 282
232
Frictional Stability of a Trans formed Structure
233
Abutments classed
235
Rectangular Buttress
238
Towers and Chimneys
240
Dams or ReservoirWalls
243
217 Retaining Walls in general
249
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
by Dr Joule and Dr Thomson and the true equations of
265
Tunnels 204
268
Strength and Stiffness 270 270 270 270 271 271 272 Section 1 Summary of General Principles 236 Theory of Elasticity
270
Elasticity denned 238 Elastic torce or Stress 239 Fluid Elasticity 240 Liquid Elasticity
271
Rigidity or Stiffness 242 Strain and Fracture 243 Perfect and Imperfect Elasticity Plasticity
272
Strength Ultimate and Proof ToughnessStiffnessSpring
273
545 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
Cuefficients of Elasticity
278
Isotropic Solid
279
General Problem of Internal Equilibrium of an Elastic Solid
280
Ellipse of Strain
281
Ellipsoid of Strain
283
Explanation of Table of the
284
Cubic Elasticity
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 Hollow Spheres
290
Beams Fixed at one end only 810
310
Transverse Strength in Terms
316
Proof Deflection of Beams
322
Slope and Deflection of a Beam
328
Beam Fixed at one end and Sup
338
Partiallyloaded Beam
345
PART III
379
Comparative Motion
384
Rigid Bodies and their
390
Division of the Subject
408
Motions of Fluids
417
THEORY OF MECHANISM Chatter I Definitions and General Principles race 425 Theoryof Pore Mechanism defined421
421
General Problem of Mechanism stated
422
MotionsolPrimaryMoving Pieces
423
Elementary Combinations in Me chanism
424
Train of Mechanism 436 Ai ggregato Combinations
425
PitchSurfaces
426
Circular Cylindrical Wheels
427
Bevel Wheels
428
NonCircular Wheels
429
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 Wheclwork
435
Principle of Sliding Contact
436
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 419
449
Normal and Circular Pitch 45i
450
Screw Gearing
451
Wheel and Screw
452
Relative Sliding of Pair of Screws
453
BeltsCordsChains454
454
Pitch Surface of a Pulleyor Drum
455
4C2 Length of an Endless Belt
456
Speed Cones
457
Linhcork 484 Definitions
458
Coupling of Parallel Axes
459
Eccentric
460
Hookes Universatjoint
461
Double Hookes Joiut
462
Velocity of any Ply
463
Whites Tackle
464
Valves Pumps Working Cylinder 4G4 500 Hydraulic Press
465
General Principles
466
Compound Screws
467
Link Motion
468
5C7 Parallel Motions
469
First Law of Motion
476
Mass or Inertia
482
Motion along an Inclined Path
489
Elliptical Oscillations or Revo
495
Varied Translation
505
Determination of Internal Forces
511
Combined Moments of Inertia
517
Principal Axes of Inertia 624 1
526
Slomentum 629
533
Motions of Pliable Bodies
552
617 Division of the Subject
566
571
572
Motions of Gases without
579
Total Energy
586
Pressureof a Jet against amoving
593
Stability of Floating Bodies
600
Epicyclic Trains
608
THEORY OF MACHINES Pan 657 Nature and Division of the Subject G09 Chapter I Work of Machines wrrn Uniform or Periodic Motion Page
609
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
614
Friction of an Axle
615
Friction of a Pivot
616
Friction of Teeth
617
Frictional Gearing
618
Stiffness of Ropes
619
Resistance of Carriages on Roads
620
Centrifugal Forces and Couples
621
Starting and StoppingBrakes
624
On Prime Movers 692 693 691 695 696 697 698 Prime Mover defined
625
WaterPressure Engines
627
Classes of Water Wheels
628
Turbines
629
7U3 Efficiency of Heat Engines in General
630
Tables of the Resistance of Materials to Stretching and Tearing 377631
631
Table of the Resistance of Materials to Shearing and Distortion
633
Table of the Resistance of Materials to Breaking Across
634
Comparative Tables of British and French Measures
636
Table of Specific Gravities of Materials
637
Dimensions and Stability of the Great Chimney of St Rollox
640
Page 317 line 7 for m read ml
642
469
645
473
647

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