Applied Mechanics; Strength of Materials

Applied Mechanics; Strength of Materials

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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. 1919 edition. Excerpt: ...separate equations in terms of the unknown bending moments at the supports can be obtained. If the beam is free at the ends and does not overhang the end supports, the bending moments at the end supports will be equal to zero and, by solving the equations simultaneously, the bending moments at the intermediate supports can be found. If the beam overhangs the end supports, the bending moments at these supports can be calculated from the loads on the overhangs, leaving the bending moments at the intermediate supports to be determined as before. If the ends of the beam are fixed, the three moment equation can be applied with the origin taken at each intermediate support, as before; and the additional equations, required to determine the bending moments at the ends, can be obtained by substituting i0 = 0 in the equation for the slope at a support taken as the origin. Having calculated the values of the bending moments at the supports, the shearing forces on both sides of each intermediate support and at the inside of each end support can be found by use of the formulas for the shearing force at the right, or left, of any support taken as an origin. The supporting force for any intermediate support can then be found by adding the shearing forces on the two sides, keeping in mind the reversal of the signs of the shears on the two sides of the support. When the ends are free, the end supports will evidently be equal to the shearing forces at the ends, and, when the ends are fixed, the reactions at each end will be made up of a shearing force and a bending moment, the latter being found as previously described. An inspection of the equations given in Art. (118) and of the process of deriving them will show: (a) That any of the equations for the more

Product details

  • Paperback | 146 pages
  • 189 x 246 x 8mm | 272g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236610040
  • 9781236610041