Strength and Elasticity of Structural Members

Strength and Elasticity of Structural Members

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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. 1908 edition. Excerpt: ...so that the maximum stress / allowed is uniform throughout the whole length of the beam; when the section is so proportioned the beam is said to be of uniform strength. Now M=fZ, and as / is constant, Z, the strength modulus of section, must be proportional to M. Take the simplest case of a rectangular section: 1. Beam fixed at one end, loaded at the other with weight W. M= Wx, and boY x x. If b is constant, then the elevation of beam showing d is a parabola. If d is constant, the plan showing b is a triangle. Beam fixed at one end, loaded uniformly. 2. M=--a?, and bd2 oc a?. If b is constant, the elevation showing d is a triangle. If d is constant, the plan showing b is a parabola. Beam supported at the ends, loaded uniformly. elevation showing d is an ellipse. If d is constant, the plan showing b is two parabolas. 70. Unsymmetrical sections. Beam with flanges and web. If a section is symmetrical, the neutral axis passes through the centre of depth; hence the maximum tensile stress on the material is equal to the maximum compressive stress. But some materials, such as cast iron, are five times as strong in compression as in tension; consequently the area of the tension flange is made five times the area of the compression flange, and the neutral axis will be about five times as far from the compression flange as from the tension flange. In Fig. 170, let Ac = area of compression flange, At = area of tension flange, fc = maximum intensity of compressive stress, ft = maximum intensity of teusile stress, yc and yt the distances from the neutral axis of the outer fibre in the compression and tension flanges respectively. and, as--=--, we get the same value of M whichever we take. Vt Vc Fig. 170 gives the general form of the intensity of stress...show more

Product details

  • Paperback | 72 pages
  • 189 x 246 x 4mm | 145g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236532716
  • 9781236532718