A Treatise on the Resistance of Materials; And an Appendix on the Preservation of Timber

A Treatise on the Resistance of Materials; And an Appendix on the Preservation of Timber

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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. 1875 edition. Excerpt: ...is of d--id; consequently the moment is and as the moment of resistance to tension is the same, the total moment of resistance is RbcP (145) which equals the moment of the applied or bending forces. If the beam be fixed at one end and loaded by a weight, P, at the free end, we have for the dangerous section, or that most liable to break, PI = RbP. In rectangular beams the dangerous section will be where the sum of the moments of stresses is greatest, the maximum values of which for a few cases are given in a table on page 128. Using those values, and placing them equal to RbcP, and we have for solid rectangular beams at the dangerous section, the following formulas: --FOR A BEAM FIXED AT ONE END AND A LOAD, P, AT THE FREE End; PI = Rbo7 (146) AND FOR AN UNIFORM LOAD; i Wl = RbcP (147) For A Beam Supported At Its Ends And A Load, P, At The Middle; iPl = Rbo? (148) And For An Uniform Load; i Wl = RocP (149) And For A Load At The Middle, And Also An Uniform Load; (2P + W)l =Rbd2 (150) For A Beam Fixed At Both Ends And A Load, P, At The Middle; Pl = Rbd? (151) And For An Uniform Load, End Section; fiWl = Rbd (152) Middle Section;.frWl = Rbd? (153) These expressions show that in solid rectangular beams the strength varies as the breadth and square of the depth, and hence breadth should be sacrificed for depth. In all the cases, except for a beam fixed at the ends, it appears that a beam will support twice as much if the load be uniformly distributed over the whole length as if it be concentrated at the middle of the length. The case in which a beam is fixed at both ends and loaded at the middle has given rise to considerable discussion, for it is found by experiment that a beam whose ends are fixed in walls of masonry will not sustain as much as...show more

Product details

  • Paperback | 78 pages
  • 189 x 246 x 4mm | 154g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236509714
  • 9781236509710