A Manual of Applied Mechanics Volume 1-2

A Manual of Applied Mechanics Volume 1-2

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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. 1870 edition. Excerpt: ...application to those cases in which the pillars, blocks, or struts along which the pressure acts are not so long in proportion to their diameter as to have a sensible tendency to be crushed by bending. Those cases comprehend--Stone and brick pillars, and blocks of ordinary proportions; Pillars and struts of Cast iron, in which the length is not more than five times the diameter, approximately; Pillars and struts of wrought iron, in which the length is not more than ten times the diameter, approximately; Pillars and struts of dry timber, in which the length is not more than about twenty times the diameter. 287. Crushing and Collapsing of Tube.--When a hollow cylinder is exposed to a pressure from without, there is a circumferential thrust round it, whose greatest intensity takes place at the inner surface of the cylinder, and may be computed by suitably modifying the formulae of Article 273. That is to say, let R and r denote respectively the outer and inner radii of the cylinder, q-i the intensity of the radial pressure from without, qa that of the radial pressure from within, and let p0 now denote, not a tension, but a thrust, viz., the maximum circumferential thrust which acts round the inner surface of the cylinder. Then reversing the signs of the second side of equation 6 of Article 273, we obtain When the pressure from within is null or insensible, this becomes and supposing the material to give way by direct crushing, the proper ratio of the internal to the external radius is given by the equation BENDING AND CROSS-IiREAKlXG. 307 r R q, being the working, proof, or crushing external pressure, and f the working, proof, or crushing thrust of the material, as the case may be. This formula gives correct results for thick hallow cylinders. But...show more

Product details

  • Paperback | 206 pages
  • 189 x 246 x 11mm | 376g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236628365
  • 9781236628367