Graphical Analysis; A Text Book on Graphic Statics

Graphical Analysis; A Text Book on Graphic Statics

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1921 edition. Excerpt: ...a straight line, the points n' and r could be located and the line r-n' drawn at once. Also the line s-m' could be drawn in a similar way. When P is at any section the intercept between the lines r"-7i2 and W2-n2 at that section gives the value of Ri due to P, and the intercept between mo-n? and s"-mo gives the value of R2 due to P. Now the uniform load produces an Ri equal to r'-mi. The line r-h is drawn, in Fig. 347, so that the intercepts between m-n and r-h are all just r'-mi greater than the corresponding intercept between r"-n2 and m2-ra2. Then when P is at any section, the intercept between r-h and m-n at the section gives Ri. Also the intercepts between m-n and s-t give R2 for various positions of P. The maximum moment curve will now be drawn. The maximum moment curve for the uniform dead load is, of course, given by its moment diagram. The curve; of this moment diagram is a parabola with the maximum ordinate at the center and equal to WL, in which W is the total uniform load. This parabola, the upper one in Fig. 348, is drawn as illustrated in Fig. 343. The maximum moment curve for the moving load P is a parabola PL with the maximum ordinate at the center and equal to-j-. The value of this ordinate is laid off in Fig. 349, using the same scale that was used in Fig. 348, then the parabola is drawn, using the construction of Fig. 343. Now when P is at any section x, the moment produced at this section by the uniform load is given by the intercept Mi, in Fig. 348, while the maximum moment that can be produced at the section by the moving load P, is given by the interept M. The sum of these moments gives the length M in Fig. 350, which is the maximum moment that can be produced at x. When P is at any other section xi, ...show more

Product details

  • Paperback | 94 pages
  • 189 x 246 x 5mm | 181g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236849787
  • 9781236849786