Elementary Theory and Calculation of Iron Bridges and Roofs

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E. & F.N. Spon, 1879 - 395 páginas
 

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Página 317 - CC j have undergone during the flexure of the beam A B. surface CC^ and by Hooke's law the alterations of length are also proportional to the stresses, hence the stress in any fibre is proportional to its distance from the neutral surface. Let s be the stress of a fibre at a unit of distance from the neutral axis N NI , then the stress in a fibre distant y from the neutral axis is s . y.
Página 346 - In a beam supported at both ends and loaded in the centre, the deflection curve will evidently be a circle.
Página 4 - ... (in its more general form the law of statical moments), and can therefore. be easily understood by those who are acquainted but with the very elements of mechanics. In fact only the last equation, that of statical moments, need be used, for if to obtain the stress in one bar moments are taken round the point of intersection of the other two bars, an equation will be arrived at containing only one unknown, the stress required, for evidently the moments of the stresses in the other two bars vanish....
Página 307 - If the mass of every particle of a material system be multiplied by the square of its distance from a straight line, the sum of the products so formed is called the moment of inertia of the system about that line.
Página 352 - For this reason^ girders in which the verticals are in compression and the diagonals in tension, are generally to be preferred to other forms.
Página 331 - Equation 68, viz. is therefore perfectly general and is applicable to the case of any beam under bending stress. Now, it is shown in works on geometry that for any curve referred to rectangular axes, p=± dx...

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