Weight Optimization of Plane Trusses

by Samuel L. Lipson, (F.ASCE), Prof. and Head of Civ. Engrg. Dept.; Univ. of British Columbia, Vancouver, BC, Canada,
Krishna M. Agrawal, (M.ASCE), Res. Assoc.; Dept. of Civ. Engrg., Univ. of British Columbia, Vancouver, BC, Canada,

Serial Information: Journal of the Structural Division, 1974, Vol. 100, Issue 5, Pg. 865-879

Document Type: Journal Paper


Optimization of topology, geometry, and cross-sectional properties from a discrete table of sections employing code allowable stresses is demonstrated on plane truss structures. A modified Complex Method of box for nonlinear constrained optimization is employed. The method does not require linearizing approximations or computation of derivatives. It is general in nature and can be applied to a variety of optimization problems. The computer program can be easily modified for space trusses or frame structures; for any table of cross sections; and to employ any code to calculate allowable stresses.

Subject Headings: Trusses | Cross sections | Standards and codes | Maximum loads | Space frames | Geometrics | Structural behavior | Job satisfaction

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