Efficient Frame Design for Stability Constraints

by Karl M. Romstad, (A.M.ASCE), Assoc. Prof. of Civ. Engrg.; Univ. of California, Davis, CA,
Karl H. Runge, Sr. Res. Engr.; ESSO Production Res. Co., Houston, TX,

Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 6, Pg. 1286-1292

Document Type: Journal Paper


This note presents a numerical procedure for determining an efficient distribution of material in structural frames to maximize the resistance to instability while holding the volume of material constant or to minimize the material volume while holding the buckling capacity constant. This procedure linearizes the original nonlinear programming problem and then uses an optimal search principle that recognizes a strongly diagonal characteristic of the resulting linear constraint sets. The proposed procedure is computationally very efficient because in the successive iterations the time required to solve for the derivatives of buckling load with respect to area and the resulting linearized optimization problem is trivial.

Subject Headings: Construction materials | Linear functions | Frames | Buckling | Numerical methods | Load and resistance factor design | Nonlinear analysis | Computer programming

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