MOMENTS IN RESTRAINED AND CONTINUOUS BEAMS BY THE METHOD OF CONJUGATE POINTS

A RAPID AND DIRECT GRAPHIC SOLUTION IS PRESENTED OF THE RELATION EXPRESSED BY THE THEOREM OF THREE MOMENTS. THE APPLICATION OF THIS SOLUTION TO A NUMBER OF PROBLEMS OF INTEREST TO STRUCTURAL ENGINEERS IS INDICATED. THE METHOD IS FIRST DEVELOPED FOR THE SIMPLEST PROBLEM OF CONTINUOUS BEAMS, ASSUMING CONSTANT MOMENT OF INERTIA, SYMMETRICAL LOADS AND FREELY SUPPORTED ENDS. IT IS THEN SHOWN THAT THE METHOD CAN BE EXTENDED TO PROBLEMS OF RESTRAINED ENDS, UNSYMMETRICAL LOADING, AND VARYING MOMENT OF INERTIA, SO AS TO YIELD A SINGLE GRAPHIC SOLUTION FOR PRACTICALLY ANY PROBLEM INVOLVING RESTRAINT OR CONTINUOUS BEAMS. IT IS SHOWN HOW THE GRAPHIC SOLUTION CAN BE APPLIED TO THE DETERMINATION OF BENDING MOMENTS, SHEARS, AND REACTIONS FOR ANY GIVEN LOADING, AND TO THE CONSTRUCTION OF INFLUENCE LINE FOR MOVING LOADS. THE APPLICATION IS FURTHER EXTENDED TO THE GRAPHIC SOLUTION OF RIGID PORTALS AND OTHER INDETERMINATE FRAMES; TO PROBLEMS INVOLVING THE SETTLEMENT SUPPORTS; AND TO SHORT CUT GRAPHIC DETERMINATIONS OF SECONDARY STRESSES IN BRIDGE TRUSSES. THE ESSENTIALS OF ARGUMENT, METHOD, AND CONCEPT AND MATHEMATICAL DEMONSTRATIONS ARE PRESENTED.

  • Supplemental Notes:
    • Vol 90, PapER NO 1598, PP 1-49
  • Authors:
    • Nishkian, L H
    • STEINMAN, D B
  • Publication Date: 1927

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Filing Info

  • Accession Number: 00208513
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 10 1994 12:00AM