A new method has been developed that permits the direct design of shapes of two-dimensional structures and structural components, loaded in their plane, within specified design constraints and exhibiting optimum distribution of stresses. The method uses photoelasticity and requires a large field diffused light polariscope. Several problems of optimisation related to the presence of holes in finite and infinite plates, subjected to uniaxial and biaxial loadings, are solved parametrically. Some unexpected results have been found: 1) the optimum shape of a large hole in a bar of finite width, subjected to uniaxial load, is "quasi" square, but the transverse boundary has the configuration of "hat"; 2) for the small hole in the large plate, a "barrel" shape has a lower s.c.f. than the circular hole and appreciably higher coefficient of efficiency; 3) the optimum shape of a tube, subjected to diametral compression, has small "hinges" and is much lighter and stronger than the circular tube. Applications are also shown to the design of dove-tails and slots in turbine blades and rotors.

  • Corporate Authors:

    Oakland University

    School of Engineering
    Rochester, MI  United States  48063

    Office of Naval Research

    Department of the Navy, 800 North Quincy Street
    Arlington, VA  United States  22217

    National Science Foundation

    1800 G Street, NW
    Washington, DC  United States  20550
  • Authors:
    • Durelli, A J
    • Rajaiah, K
  • Publication Date: 1980-2

Media Info

  • Features: References;
  • Pagination: 52 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00309396
  • Record Type: Publication
  • Report/Paper Numbers: Report No. 53
  • Contract Numbers: N0014-76-C-0487, ENG77-07474
  • Files: TRIS
  • Created Date: Mar 31 1980 12:00AM