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A Practical Theory of Vousoit Arches

A Practical Theory of Vousoit Arches


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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.1874 Excerpt: ... ilium, we shall seek the least value of this horizontal force Q, and its point of application at the crown. Fig. 3. tions of the weights of the parts ab bxax; abb2 a2; including the loads on the parts bbu bj).... i P!, P2 acting through the centres of gravity of the parts considered. The horizontal force Q combined with the reaction B2 at the joint a2bQ holds the part abb2a2 in equilibrium and similarly for the reactions on other joints. At the points where the direction of Q. cuts P1? P2, combine those forces with Q? the resultant of Q and Pi cuts joints a-fii at A1? which is therefore the centre of pressure on that joint. As the weight abb2a$ with its load equals P2 and is the weight on. joints a2 bit the resultant of P2 and Q, will give the force acting on aj)% in direction, position and magnitude; its direction cuts a2b2 at A2) which is therefore the centre of pressure on that joint. In the same way the resultants and centres of pressure on all the joints may be determined. A broken line connecting these centres of pressure on the various joints is called by Dr. Scheffier the line of pressures. For voussoirs indefinitely small it becomes a curved line. That granted, in order that the arch may remain in equilibrium, it is necessary: 1. That the points of intersection C, A1? A2? fall in the interior of the respective joints ab, afti) a2b2. If for any joint this is not so, e.g., if the point Ax was above bu the mass abbl ax would then turn around the edge bu as an unresisted couple would be formed. To explain: suppose the resultant Bi to pass outside of joint ax bx; conceive two equal opposed forces, each equal to K3 to act at edge bt; this does not disturb the equilibrium; then E2 the force acting through Ai (which is outside the joint) with its equal but ..


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Product Details
  • ISBN-13: 9781151524904
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 20
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1151524905
  • Publisher Date: 08 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 54 gr


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