The Guide to Railway Masonry; Comprising a Complete Treatise on the Oblique Arch, in Three Parts
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The Guide to Railway Masonry; Comprising a Complete Treatise on the Oblique Arch, in Three Parts

The Guide to Railway Masonry; Comprising a Complete Treatise on the Oblique Arch, in Three Parts


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About the Book

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. 1839 Excerpt: ...1.) be a right section of the concave surface, the chord A C, being 30 feet, and the height of the arc 10 feet, and let the concentric arc D E F be a right section of the convex surface which contains the other spiral at 4 feet distant from the 3rc, ABC; that is, whatever be the radius of the arc ABC, the radius of the arc D E F will be 4 feet more; let g c a be the angle which the spiral in the concave surface, makes with its base, which is equal to the length of the arc ABC, and let the angle a c g of the triangle g c a be 40. The length of the arc A B C to a chord of 30 feet, and height 10 feet, will be found by Prob. xxiv, page xxxi, to be 3822 feet, and the radius of the arc of the same dimensions by Prob. xxv, page xxxiii, to be 16 25 feet; therefore, 16-25]4--20-25 the radius of the convex surface; and because the arcs of similar segments are as their radii; hence 16-25: 20-25:: 38-22: the length of the arc D E F, which being found is 47-628. In the triangle g a c of the developement of the spiral upon the coucave surface make a c equal to 38-22 feet, the angle acgequal to 40; then, by the following statement, rad.: tan. 40:: 38-22: a =3207 feet, nearly. In the right-angled triangle a f. we have the two sides af, a g, respectively equal to 47-628 feet, and 3207 feet, to find the angle afg, Therefore, 47-628: 32-07.: rad.: tan. of the angle afg. Kence, the angle af g will be found to be about 33 57' Bat without finding the lengths of the arcs we might have arrived at the same conclusion by using the radii, which are proportional to the arcs. The radius I A of the concave surface being found as above is 16 25 feet and the radius J D of the convex surface is 16-25+4=20-25 feet. In the triangle g a c vie have the angle a c =40 and the side a c= 16-25, to.


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Product Details
  • ISBN-13: 9781130416473
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 113041647X
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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