Theorectical machines

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EQUILIBRIUM OF BODIES RIGIDLY FASTENED AND 8UPPORTED
247
CHAPTER IV
280
CHAPTER V
309
Poncelets theorem
341
Lever axial friction of the lever
343
Friction of a pivot
345
Friction on conical pivots
347
Antifriction pivots
349
Friction on points and knifeedges
352
Rolling friction
353
193194 Friction of cords and chains
361
190200 Rigidity of cordage 863
363
SECTION IV
371
Elasticity and strength
372
COMBINED ELASTICITY AND STRENGTH
373
Extension and compression 874
374
Modulus of elasticity
376
Modulus of proof strength modulus of ultimate strength
379
Modulus of resilience and fr i lity
382
Extension of a body by its own weight
384
Bodies of uniform strength
387
Experiments upon extension and compression 891
391
Experiments upon extension
393
Elasticity and strength of iron and wood 897
401
Strength of shearing
406
CHAPTER II
409
Moment of flexure TF
412
216217 Elastic curve
414
More general equation of the elastic curve
419
219222 Flexure produced by two parallel forces
422
A uniformly loaded girder 480
430
224225 Reduction of the moment of flexure 482
432
Moment of flexure of a strip
435
Moment of flexure of a parallelopipedical girder
436
Hollow doublewebbed or tubular girders
437
Triangular girders
439
Polygonal girders
441
Cylindrical or elliptical girders
443
Application of the calculus to the determination of W 445
445
233234 Beams with curvilinear crosssections
447
Strength of flexure
450
Formulas for the strength of bodies
453
Difference in the moduli of proof strength
457
Difference in the moduli of ul timate strength
460
Experiments upon flexure and rupture
463
Moduli of proof and ultimate strength
466
Relative deflection
469
Moments of proof load
472
Crosssection of wooden girders
474
Hollow and webbed girders
477
Eccentric loads
480
246248 Girders supported in different ways
484
249250 Girders not uniformly loaded
491
251252 Crosssection of rupture
494
253254 Bodies of uniform strength
498
Flexure of bodies of uniform Btrength
504
Deflection of metal springs
506
THE ACTION OF THE SHEARING ELASTICITY IN THE BENDING AND TWISTING OF BODIES 257 The shearing force parallel to the neutral ...
510
The shearing force in the plane of the crosssection
513
Maximum and minimum strain
515
Influence of the strength of shearing upon the proof load of a girder
519
Influence of the elasticity of shearing upon the form of the elastic curve
522
Elasticity of torsion
523
Moment of torsion or twisting moment
524
Resistance to rupture by torsion
528
CHAPTER IV
532
Bodies of uniform resistance to breaking across
539
Hodgkinson experiments
542
More simple determination of the proof load
544
SECTION V
571
Reduction of the mass
578
Prism and Cylinder
585
Manometer
778
Mariottes law
780
Work done by compressed air
783
Pressure in the different layers of air Barometric measure ments of heights
787
Stereometer and volumeter
788
Air pump
790
Gay Lussacs law
793
Heaviness of the air
795
Air manometer
796
Buoyant effort of the air
797
SECTION VII
800
801
801
Velocities of influx and efflux
803
Velocities of efflux pressure and heaviness
804
Hydraulic head
808
Efflux through rectangular lateral orifices
810
Triangular and trapezoidal lateral orifices
813
Circular orifices
815
Efflux irom a vessel in motion
817
CHAPTER II
820
Coefficient of contraction
821
Contracted vein of water
823
Coefficient of efflux
824
Experiments upon efflux
825
Rectangular lateral orifices Efflux through them
828
Overfalls
833
Maximum and minimum contraction
834
Scale of contraction
836
Partial or incomplete contraction 887
837
Imperfect contraction
840
416417 Efflux of moving water
842
OF THE FLOW OF WATER THROUGH PIPES PAGE 420 Short tubes
852
Short cylindrical tubes
853
Coefficient of resistance
855
Inclined short tubes or ajutages
857
Imperfect contraction
858
425426 Conical short tubes or ajntages
861
427429 Resistance of the friction of water
863
Motion of water in long pipes
869
Motion of water in conical pipes
872
Conduit pipes
874
Jets of water
876
Height of jets of water
878
Piezometer
881
CHAPTER IV
883
Contraction
885
Influence of imperfect contraction
887
Relations of pressure in cylindrical pipes
888
Relations of pressure in conical pipes
891
Elbows resistance of
896
Valve gates cocks valves
900
Valves
904
Compound vessels
907
CHAPTER V
910
448449 Communicating vessels
911
Notch in the side
914
Wedgeshaped and pyramidal vessels
916
Spherical and obeliskshaped vessels
919
Irregularly shaped vessels
921
Simultaneous influx and efflux
922
Locks and sluices
924
Apparatus for hydraulic experiments
926
OF THE EFFLUX OF AIR AND OTHEK FLUIDS FROM VESSELS
927
CHAPTER VII
955
CHAPTER VIII
976
418419 Lesbros experiments 846
980
CHAPTER IX
1002
APPENDIX
1042
Translators Appendix
1092
Index
1105
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