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Theory of Arches and Suspension Bridges

Theory of Arches and Suspension Bridges


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...moment of inertia, I0, and adopt the following notation: - A (2ym+ym.t) +-A-(22/m+2/m+1) J Uo 1 m Oflo i m+i (314..(315. (316. The summations appearing in these expressions should extend over the entire arch, hence from--J-to + 4-. The position of the axis of abscissae, from which the ordinates y are measured, is fixed by equ. (310) or, if y' denotes the arch ordinates measured from the closing chord, the axis is determined by For a constant value of I', the X-axis becomes the rectifying line for the arch-curve; so that ta represents the altitude of a parallelogram erected upon the arch-chord with an area equal to that included between the chord and the arch-curve. We proceed to determine the influence lines for the quantities H, Xt and X2 for a moving concentration. The graphic method may here be applied, since the summations appearing in the above expressions are readily represented by the ordinates of funicular polygons. Thus, if the load consists of a unit concentration applied at a distance from one end, we have, as shown in 5, p. 36, the following relation: where Mv is the moment producible at the section of a beam freely supported at A and B by a loading consisting of the vertical "forces" vm. In similar manner we obtain the quantities "forces" v'm and v"m, respectively. Since the values of vm, v'ta and v"m may be calculated directly by equs. (314) to (316), there is no difficulty in constructing the above funicular polygons and, hence, the influence lines for H, X1 and X2. In Figs. (65a) to (65k), this construction is carried out. We first have to find the rectifying axis Ax, for which we use the force polygon for the quantities v" (Fig. 65b) and the resulting funicular polygon constructed...


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Product Details
  • ISBN-13: 9781153180412
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 72
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1153180413
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 145 gr


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