A Treatise on the Strength of Materials with Rules for Application in Architecture: The Construction of Suspension Bridges, Railways, Etc

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Lockwood, 1867 - 396 pages
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Page 26 - ... 1. When the beam is fixed at one end, and loaded at the other ' Iw s -6rf* = S . 2. When fixed the same, but uniformly loaded, a' x ft* 3 = s . 1 Iw
Page i - Barlow on the Strength of Materials, enlarged. A TREATISE ON THE STRENGTH OF MATERIALS, with Rules for application in Architecture, the Construction of Suspension Bridges, Railways, &c.
Page 28 - for 1707 and 1708, from which the author concludes that the weights necessary to break a beam fixed at one end and loaded at the other, and that of a beam of double the length supported at each end and loaded in the middle, and another equal to the latter, but fixed at each end, were as the Nos.
Page 114 - To find the thickness of an upright rectangular wall necessary to support a body of water, the depth being 10 feet, and the wall 12 feet high, the specific gravity of water being 1000, and the best stock brick 2000.
Page 2 - In these he states the weights required to tear asunder slips taken from the four sides of the tree, and on each side in a regular succession from the centre to the circumference. His pieces were all formed into slips fitted to his apparatus, and cut down to the form of...
Page 20 - ... 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 105 - Multiply the pressure to be supported in Ibs. by the square of the column's length in feet, and divide the product by twenty times the tabular value of E ; and the quotient will be equal to the breadth multiplied by the cube of the least thickness, both being expressed in inches. Note 1. — When the pillar or support is a square, its side will be the fourth root of the quotient.
Page i - KIRKALDY ; an Essay (with Illustrations) on the effect produced by passing Weights over Elastic Bars, by the Rev. ROBERT WILLIS, MA, FRS And Formulae for Calculating Girders, &c. The whole arranged and edited by W. HUMBER, Assoc. Inst. CE, Author of " A Complete and Practical Treatise on Cast and Wrought-Iron Bridge Construction,
Page 1 - A beam or bar may also be destroyed by a pressure exerted in the direction of its length, as in the case of pillars, posts, and truss-beams. 4thly. It may be twisted or wrenched by a force acting in a perpendicular direction, at the extremity of a lever or otherwise, as in the case of the axle of a wheel, the lever of a press, &c.
Page 119 - That is, the resistance offered by each successive lamina, is inversely as the square of the diameter, or inversely as the square of its distance from the centre ; by means of which law the actual resistance due to any thickness is readily ascertained. Let r be the interior radius of any cylinder...

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