A Treatise on the Strength of Timber, Cast and Malleable Iron, and Other Materials: With Rules for Application in Architecture, the Construction of Suspension Bridges, Railways, &c.; and an Appendix on the Power of Locomotive Engines, and the Effect of Inclined Planes and Gradients. With Seven Plates
J. Weale, 1851 - 516 pages
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Abscisses angle Area of section Area of top bottom rib Breaking weight bridge broke cast iron centre compression computed cube curve cylinder denote Depth of beam diameter dimensions direct cohesion Distance between supports Ditto Eaton Hodgkinson elasticity element of deflection English oak equal experiments feet 6 inches fibres Fir Battens fixed force formulæ fracture George Rennie Girard given Godstone horizontal inches deep inches square inversely last weight lever load malleable iron ment middle nearly neutral axis obtained pieces PITCH PINE plane Plate preceding pressure props rail railway ratio reduced resistance Riga fir scale Scarph specific gravity specimens square inch statical deflection strain strength strength of materials supposed TABLE CONTINUED tension Thickness of vertical timber tion tons top rib trajectory transverse trial bar velocity vertical strength whole wire Woolwich Dockyard
Page 43 - ... 1. When the beam is fixed at one end, and loaded at the other, IW cos A = a d3 S, or — — .^ - = S, a constant quantity.
Page 129 - Solides," are the only ones of any importance to which we can refer, and the results in these are by no means so uniform as might be desired. The following is an abstract from M. Girard's first and second Tables. Table I. contains the results of his experiments on the vertical pressure of oak beams. The first column contains the number of the experiment ; the second, the dimensions and specific gravity...
Page 136 - Strength of a Rectangular Beam of Timber, fixed at one end and loaded at the other. Rule. — Multiply the value of S...
Page 127 - ... force applied longitudinally, as it will be destroyed by splitting before that bending can take place ; but when the length exceeds this, the column will bend under a certain load, and be ultimately destroyed by a similar kind of action to that which has place in the transverse strain. Columns of cast iron and of other bodies are also similarly circumstanced, this law having recently been fully developed by the experiments of Mr.
Page 190 - It consists of two cast-iron sides, cast in lengths of 9£ feet each, with proper flanches for abutting against each other, and for fixing the whole to sleepers resting on a secure stone foundation. The whole length of the frame is 104£...
Page 252 - It appears, also, (considering -000096 as representing in round numbers iooootn,) that a bar of iron is extended one ten-thousandth part of its length by every ton of direct strain per square inch of its section ; and consequently, that its elasticity will be fully excited when stretched to the amount of one thousandth part of its length.
Page 32 - ... the weight W, then this would be double of that which would be necessary to produce the fracture in the common case : for, dividing the weight W into four equal parts, we may conceive two of these parts employed in producing the strain or fracture at E, and one of each of the other parts as acting in / opposition to w and w, and by these means tending to produce the fractures at F and F.
Page 288 - It is clear, therefore, that this is a question which comes immediately under the class of maxima et minima, the solution of which is as follows ; viz. Given the area of section of a railway bar below the neutral axis, to find the dimensions of the lower flanch, so that the strength shall be a maximum ; the breadth of the middle rib, and the depth of the lower flanch, being also given. Referring to the annexed figure...