Optimum Design of Grillages Including Warping,

Abstract

A method is presented for optimum design of elastic grillages made of straight thin walled beams. The design problem is formulated by matrix displacement method. Empirical relationships are used to relate the beam cross-sectional properties to each other so that each beam element has only one design variable which is its moment of inertia. Joint displacements are also treated as independent design variables. This requires to include the stiffness constraints as polynomials of the variables in the design problem. Constraints on stresses, displacements and cross-sectional moments of inertia are also considered. The effect of warping is included by employing Vlasov's theory.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADP000081

Entities

People

  • Mehmet Polat Saka

Tags

DTIC Thesaurus Topics

  • Displacement
  • Inertia
  • Moment Of Inertia
  • Physical Properties
  • Polynomials
  • Stiffness

Fields of Study

  • Engineering
  • Physics

Readers

  • Structural Dynamics.