Ellen, Or, the Whisperings of an Old Pine

Ellen, Or, the Whisperings of an Old Pine

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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. 1901 edition. Excerpt: ... distinct in steel, caoutchouc, wood, and paper. 'If a rectangular bar be clamped atone end in a horizontal position and loaded at the other end by a weight, a flexure will be produced which may be observed by the cathetometer. The amount of this flexure, A, is represented by the formula A= where P is the load, / the bh n length of the bar, b its breadth, h its depth or thickness, / the modulus of elasticity, and k a constant which depends on the manner in which the rod is supported, the three principal cases being represented in Fig. 2; a is that in which the rod is supported at one end; in b the rod rests on knife edges, with both ends free; while in c both ends are rigid; if one and the same bar be fastened in these different ways the values of A. are respectively as 64-.4: i. 'If the section of the bar is a circle with radius r, then 3' 'It will thus be seen that if for a given load the depression is not to be greater with a long beam than with a short one, the height must increase in the same ratio as the length. 'It is clear that an accurate measurement of the flexure of a bar furnishes a means of determining its modulus of elasticity. 'The elasticity of flexure is applied, in a vast variety of instances--for example, in bows, watch-springs, carriage-springs; in spring balances it is used to determine weights, in dynamometers to determine the force of agents in prime movers; and, as a property of wool, hair, and feathers, it is applied to domestic uses in cushions and mattresses. 'Whatever be the kind of elasticity, there is, as has been already said, a limit to it--that is, there is a molecular displacement beyond which bodies are broken, or at any rate do not regain their primitive form. This limit is affected by various causes. The..show more

Product details

  • Paperback | 184 pages
  • 189 x 246 x 10mm | 340g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236602331
  • 9781236602336