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An Elementary Course of Civil Engineering; For the Use of the Cadets of the United States' Military Academy

An Elementary Course of Civil Engineering; For the Use of the Cadets of the United States' Military Academy


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About the Book

Book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1837. Excerpt: ... NOTE IV. Method* of describing Oval or Basket-handle Curvet composed of Circular Arcs. The span and rise of the intrados of an arch being given, in which the latter is some fractional part less than one-half of the former, an infinite number of curves, formed of arcs of circles, can be made to pass through the points of the springing lines, and the crown of the intrados, so as to satisfy the conditions of having their common tangent at the crown horizontal, and those at the springing lines vertical. To give the problem therefore a determinate character, some other conditions must be imposed, in addition to those just mentioned. When the rise is not less than one-third of the span, a curve, composed of three circular arcs, or, as it is termed, an oval of three eentres, is found to give a very suitable water-way, and, at the 6ame time, a form which is pleasing the eye. This curve may be traced in various ways. The two following methods are in most frequent use: Let AB be the half span, (Fig. W, ) and AC the rise; with the radius AB describe the quadrant Ba, --take the arc Bb = 60, -- draw ab, bB, and Ab, --draw Cc parallel to ab, and from c, the intersection of Cc and Bb, draw c O parallel to Ab;--the points P and O will be the required centres, and PB and OC the required radii. The angle subtended by each of the three arcs will be 60, which is the other condition imposed by the construction. Another method is as follows: Join D and C, (Fig. W, ) make Cd= Ca equal to the difference between the half span and rise, -- bisect the distance Ddby a perpendicular, and the points R and S, where it intersects the span and rise produced, will be required centres. This construction results from the imposed condition that R the ratio -- of the least and greatest radii, shall be the least p...


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Product Details
  • ISBN-13: 9780217810197
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 106
  • Spine Width: 6 mm
  • Width: 189 mm
  • ISBN-10: 0217810195
  • Publisher Date: 02 Jan 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 204 gr


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An Elementary Course of Civil Engineering; For the Use of the Cadets of the United States' Military Academy
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