The Theory of Strains in Girders and Similar Structures: With Observations of the Application of Theory to Practice, and Tables of the Strength and Other Properties of Materials

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D. Van Nostrand, 1873 - 632 páginas
 

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CHAPTER II
11
Horizontal strains in braced or thin continuous webs may be neglected
12
FLANGED SEMIGIRDER LOADED AT THE EXTREMITY 16 FlangesAt any cross section the horizontal components of strain in the flanges are eq...
13
Girder of greatest strengthAreas of horizontal flanges should be to each other in the inverse ratio of their ultimate unitstrains
15
girders with parallel flanges is theoretically independent of the depth
16
Web shearing strain
24
ART PAGE 45 A concentrated load produces the same strain in the flanges as twice the load uniformly distributed
35
Flangearea of girder of uniform strength when the depth is constant
36
Depth of girder of uniform strength when the flangearea is constant
37
FLANGED GIRDER SUPPORTED AT BOTH ENDS AND TRAVERSED BY A TRAIN OF UNIFORM DENSITY 50 Passing train of uniform densit...
38
Maximum strains in web occur at one end of a passing train
39
Uniform load and passing train shearingstrain
40
Flanges
41
Depth and length for calculation
42
CHAPTER III
43
Neutral axisCentres of strainResultant of horizontal forces in any cross section equals cipher
44
Moment of resistance MBending moment
45
Coefficient of rupture S Semigirder loaded at the extremity
46
Semigirder loaded uniformly
47
Strength of stones even of the same kind is very variable
51
Strength of similar girdersLimit of length
53
Neutral axis passes through the centre of gravityPractical method of finding the centre of gravity
54
CHAPTER IV
56
for sections symmetrically disposed above and below the centre of gravity
57
Rectangular girder of maximum strength cut out of a cylinder
65
Value of web in aid of the flanges
71
Plan of solid rectangular girder of uniform strength depth constant
79
ART PAGE
81
Transverse strength of thick castings much less than that of thin castings
86
Web
92
ART PAGE 161 Flangestrains derived from a diagram
100
Web second method
101
Increments of strain in flanges
102
Strains in flanges calculated by moments
103
Strains in intersecting diagonalsGeneral law of strains in intersecting diagonals of isosceles bracing with parallel flanges
104
Maximum strains in webStrains in intersecting diagonals
105
Permanent loadAbsolute maximum strains
106
Flanges
107
Counterbracing
108
LATTICE GIRDERS SUPPORTED AT BOTH ENDS AND LOADED UNIFORMLY 177 Approximate rule for strains in lattice web
111
WebFlanges
112
LATTICE GIRDERS SUPPORTED AT BOTH ENDS AND TRAVERSED BY A TRAIN OF UNIFORM DENSITY 179 Web first method
113
End pillars
114
Ambiguity respecting strains in lattice bracing
116
Flangestrains calculated by moments
117
Web second method
118
CHAPTER VI
122
CHAPTER VII
129
71
132
Calculation by moments
135
Example 2Flangestrains nearly uniform with symmetric loading
142
Inverted bowstring or fishbellied girderBow and invert or double bow
149
Flanges
157
Flanges
160
CHAPTER VIII
164
Solid rectangular semigirdersDeflection of solid square girders is
172
Central deflection of a girder loaded uniformly equals fiveeighths of
178
ART PAGE
187
Three spans loaded uniformly
193
Swivel bridge
198
CHAPTER X
200
Web the length containing an even number of bays
203
CHAPTER XI
209
Moment of resistance of torsion
215
ART PAGE
222
Crushing strength of castiron
228
Strains at centre of girder
229
VARIOUS METALS
235
Great economy from high unitstrains in long girdersSteel plates
236
Solid steel pillars
279
Each bay of a braced pillar resembles a pillar with rounded endsCom
286
ART PAGE
296
Tensile strength of wroughtiron mean results
303
IRON WIRE
309
Steel plates often deficient in uniformity and toughnessPunching
316
Lateral adhesion of the fibres
324
CASTIRON
325
Solid or hollow round castiron pillars
328
Tensile strength of Roman cementNatural cements generally inferior
330
ART PAGE 371 Tensile strength of Keenes Parian and Medina cements
333
Adhesion of Plaster of Paris and mortar to brick or stone
334
Grants conclusions
336
Tensile strength of glassThin plates of glass stronger than stout bars Crushing strength of glass is 12 times its tensile strength
337
Tensile strength of cordage
338
Strength and weight of cordageEnglish ruleFrench rule
340
Tensile strength of studchain
341
Government Proofstrain for Studchain
342
Tensile strength
345
Long openlink chainAdmiralty proofstrainTrinity proofstrain Frenchproof
346
Working strain of chains should not exceed onehalf the proofstrain
348
Weight and strength of bariron studchain closelink chain and cordage
349
WIRE ROPE 386 Tensile strength of round iron and steel wire ropes and hemp rope
350
Tensile strength of flat iron and steel wire ropes and flat hemp rope
353
CHAPTER XVII
356
Shearing strength of castiron
357
Experiments on shearing wroughtiron
358
Shearing strength of wroughtiron equals its tensile strength
360
Shearing strength of rivet steel is threefourths of its tensile strength
361
ELASTICITY AND
364
Remelting within certain limits increases the strength and density of cast
368
Hodgkinsons formulæ for the increment of length and set of castiron
370
Elastic flexibility of castiron twice that of wroughtironLaw of elasticity
379
A change of temperature of 15 C in castiron and 75 C in wroughtiron
390
Punching and drilling tools
396
CHAPTER XXII
411
Maximum weight on crossgirdersDistance between crossgirders
417
CHAPTER XXIV
424
EXAMPLE 4
430
Effect of centrifugal force
433
CHAPTER XXVII
442
CoversSingle and double covers comparedLapjoint
449
EXAMPLE 5
453
Girdermakers Boilermakers and Shipbuilders rules for rivetingChain
455
Adhesion of nails and wood screws
462
Various economical arrangement of tensionjoints
465
Effects of longcontinued impact and frequent deflections on castiron bars
470
Net area only available for tensionAllowance for the weakening effect
476
Gross area available for compressionCompressive working strain
484
Strength and quality of materials should be stated in specificationsProof
491
ART PAGE
498
Singleline lattice bridge 480 feet long
506
Standard working loads for railway bridges of various spans
510
Weight of roofing materials and working loads on roofsWeight of snow
517
CHAPTER XXIX
525
Singleline lattice bridge 480 feet long as in Ex 5 but with higher unit
538
Great economy from high unitstrains in very large girders
546
Flanges nearly equal in weight to each other and web nearly equal
552
CHAPTER XXX
558
Iron and timber combined form a cheap girderTimber should be used
564
Solid wroughtiron pillars
570
Working strains and area of flanges
571
Experiments on the strength of braced pillars
577
Chepstow Bridge Gigantic Truss
583
Prolonged fusion within certain limits increases the strength and density
590
136
600
Brotherton Plate Tubular Bridge
616
Tensile strength of thick castings of highly decarbonized iron greater than
617

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Página 470 - The magnitude of the blow in each set of experiments being made greater or smaller, as occasion required. The general result obtained was, that when the blow was powerful enough to bend the bars through one-half of their ultimate deflection (that is to say, the deflection which corresponds to their fracture by dead pressure), no bar was able to stand 4000 of such blows in succession ; but all the bars (when sound) resisted the effects of 4000 blows, etch bending them through one-third of their ultimate...
Página 472 - In wrought-iron bars no very perceptible effect was produced by 10,000 successive deflections by means of a revolving cam, each deflection being due to half the weight which, when applied statically, produced a large permanent flexure.
Página 250 - A long, uniform, cast-iron pillar, with its ends firmly fixed, whether by means of discs or otherwise, has the same power to resist breaking as a pillar of the same diameter, and half the length, with the ends rounded or turned so that the force would pass through the axis.
Página 249 - The strength of a pillar, with one end rounded and the other flat, is the arithmetical mean between that of a pillar of the same dimensions with both ends round, and one with both ends flat. Thus, of three cylindrical pillars, all of the same length...
Página 306 - In screwed bolts the breaking strain is found to be greater when old dies are used in then- formation than when the dies are new, owing to the iron becoming harder by the greater pressure required in forming the screw thread when the dies are old and blunt than when new and sharp.
Página 249 - Thus, of three cylindrical pillars, all of the same length and diameter, the first having both its ends rounded, the second with one end rounded and one flat, and the third with both ends flat, the strengths are as 1, 2, 3, nearly.
Página 470 - A heavy ball was suspended by a wire eighteen feet long from the roof, so as to touch the centre of the side of the bar. By drawing this ball out of the vertical position at right angles to the length of the bar, in the manner of a pendulum, to any required distance, and suddenly releasing it, it could be made to strike a horizontal blow upon the bar; the magnitude of which could be regulated at pleasure, either by varying the size of the ball or the distance from which it was released.
Página 431 - Ibs. is sufficient to produce fracture if passed over them at the rate of 30 miles an hour. It also appeared that when motion was given to the load, the points of greatest deflection, and, still more, of the greatest strains, did not remain in the centre of the bars, but were removed nearer to the remote extremity of the bar. The bars, when broken by a travelling load, were always fractured at points beyond their centres, and often broken into four or five pieces, thus indicating the great and unusual...
Página 483 - In a wrought-iron or steel bridge the greatest load which can be brought upon it, added to the weight of the super-structure, should not produce a greater strain on any part of the material than five tons, where wrought-iron is used, or six tons and a half, where steel is employed, per square inch.
Página 361 - ... for copper plates. Multiply the constant number by the given diameter in inches, and by the thickness in inches ; the product is the pressure in pounds, which will be required to punch a hole of a given diameter, through a plate of a given thickness. It was observed that, duration of pressure lessened considerably the ultimate force necessary to punch through metal, and that the use of oil on the punch reduced the pressure about eight per cent. A drawing of the experimental lever and apparatus...

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