OPTIMAL SHAPE AND NONHOMOGENEITY OF A TIMOSHENKO BEAM FOR MAXIMUM LOAD

The best possible distributions of Young's modulus or the cross-sectional area or both are determined explicity for a cantilevered Timoshenko beam which, for a given volume and end deflection, carries the maximum possible load at its free end. Closed-form solutions are given for the optimal height, width and/or Young's modulus functions. Numerical results are presented in graphical form. It is found that the inclusion of shear deformation decreases the efficiency of the optimal design, and that optimization with respect to Young's modulus in addition to shape increases the efficiency considerably in comparison with optimization of the shape only.

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  • Corporate Authors:

    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • Adali, S
    • Sadek, I
  • Publication Date: 1979-12

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Filing Info

  • Accession Number: 00307520
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Feb 11 1980 12:00AM