A Practical Treatise on the Strength of Materials: Including Their Elasticity and Resistance to Impact

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E. & F.N. Spon, 1902 - 525 páginas
 

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Página 371 - In a lattice beam the strength is almost entirely in the top and bottom members, and the deflection of the beam arises from the alteration in length which those members suffer by their respective strains : —in the case of a beam supported at the ends and loaded in the centre, the top suffers a crushing strain and becomes shorter, while the bottom bears a tensile strain and becomes longer. If we know the respective strains we may calculate the corresponding extension and compression — and knowing...
Página 247 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 493 - ... resistance. To arrive at correct results and to imitate as nearly as possible the strain to which bridges are subjected by the passage of heavy...
Página 110 - ... of what would be required to crush the material, one half only of the strength may be considered as available for resistance to flexure, whilst the other half is employed to resist crushing ; and when, through the shortness of the pillar, the breaking weight is so great as to be nearly equal to the crushing force, we may consider that no part of the strength of the pillar is applied to resist flexure.
Página 54 - From all this we may admit that in ordinary cases the factor should be 6, but for exceptional cases it may be 4, as in (68), &c., or even 3 with comparatively new and sound boilers : but this is a matter which must be left to the judgment of the engineer.
Página 372 - The experimental deflection of a girder with these proportions and load was roughly measured as -} inch bare. It will be observed that the effective depth of the girder is the distance between the centres of gravity of the top and bottom angle-irons (449), and is taken in the above at 23 inches, the half-length of the girder being 192 inches. (684.) "Deflection of Tubular Bridges.
Página 21 - ... riveted ; these alone being easily made steam-tight by caulking. (26.) " Diameter of Rivets." — The proper size of rivets in proportion to the thickness of plate is to some extent arbitrary, and within certain limits may be varied considerably, so long as the great principle is observed, namely, so to adjust the pitch and thickness as to secure equality between the tensile strength of the plate and the shearing strength of the rivets. Nevertheless, practice has dictated as expedient, certain...
Página 317 - ... exclusive of the couplings, was 50 feet, except in two instances, where the length was 48 feet 3 inches. There were nine experiments upon these connected lengths, and the experiments were upon four kinds of cast-iron — Low Moor No. 2, Blaenavon No. 2, Gartsherrie No. 3, and a mixture of iron, composed of Leeswood No. 3 and Glengarnock No. 3, in equal proportions. There were two experiments upon each of the simple irons, and three upon the mixture, and the mean results were afterwards reduced...
Página 256 - X 5 -J- 10 = 4, the relative breaking weight of E, &c. (461.) 6th. The breaking weights of similar beams are to each other as the squares of their linear dimensions. Thus, with Figs. 152, 153, in A, B, C, or in D, E, F, the ratio of the linear dimensions is 1, 2, 3, and 1...
Página 430 - ... (811). (809.) From this we find that while the safe load increases with the distance from the centre, the deflection with that increased load is reduced in exactly the same ratio, so that their product, or WX $, is everywhere constant. The same fact is shown by col. 6 of Table 104. The result is, that the power of a beam to resist Impact is the same at whatever part of the length it is struck : that is to say, a given weight which falling on the centre from a certain height, will break the beam,...

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