By Barlow, Peter William; Barlow, Peter; Barlow, W. H.; Humber, William
This entire paintings from the nineteenth century covers the energy of fabrics with reference to building of constructions, bridges and railways, and so forth. and comprises an appendix at the strength of locomotive engines and the influence of susceptible planes and gradients.
summary: This complete paintings from the nineteenth century covers the energy of fabrics in regards to development of structures, bridges and railways, and so on. and contains an appendix at the energy of locomotive engines and the influence of vulnerable planes and gradients
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Extra resources for A treatise on the strength of materials : with rules for application in architecture, the construction of suspension bridges, railways, etc., and an appendix, Edition: New ed
Nothing can be desired more simple than the results obtained by this theory ; but, unfortunately, it is founded on hypotheses which have nothing equivalent to them in nature. In the first place, it assumes the beam to be inflexible, and insuper ably strong, except at the section of fracture : secondly, that the fibres are inextensible and incompressible : and, thirdly, that the beam turns about its lowest point when fixed at one end, or its upper when supported at both, and therefore, that every fibre in the section is exerting its force in resisting extension : and, lastly, if this be not implied in the former objection, that every fibre acts with equal energy, whatever may be the tension to which it is exposed.
This deduction being contrary to the experimental results of M. Girard, ought to be examined with caution: we propose, therefore, investigating the nature of the curve on different prin ciples, and on such as will probably be more intelligible to many readers. It has been shown above, that an approximation to the actual state of the curve is all that can be obtained; and this approxima tion may be obtained perhaps more satisfactorily as follows. Let A B C D, figs. , represent the deflected beam, and let it be divided as above supposed (Art.
The next anomaly, or what has hitherto been considered as such, is that in which the strength has been observed to decrease in a higher ratio than that of the inverse of the lengths; or, which is more correct, that the strain increases in a higher ratio than the direct ratio of the lengths. Now, it appears from the preceding formulas, that this is what ought to be the case; for the strain being denoted by 2 / = i i W sec A ; and as the ultimate deflection, in quantity, varies as the square of the length (see Art.