Research Article
May 1971
Collapse Load Analysis using Linear Programming
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 97, Issue 5
Abstract
A kinematic approach to the collapse load analysis of plane structures is presented. Beginning with the inelastic rotation parameters and external work constants for a readily identifiable set of elementary mechanisms, linear programming is then employed to investigate all possible combinations and to find the mechanism with the smallest collapse load factor. Also found are the relative inelastic rotations of the plastic hinges appearing in the critical collapse mechanism, as well as the particular set of elementary mechanisms that combined to form it. Alternate collapse modes can also be found. The approach is based on the use of the Simplex algorithm for a digital computer. It is simple to apply and efficient in operation. The procedure is illustrated by two plane frame examples and a rectangular grid example.
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Published In
Journal of the Structural Division
Volume 97 • Issue 5 • May 1971
Pages: 1561 - 1573
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: May 1971
Published online: Feb 1, 2021
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Authors
Affiliations
Donald E. Grierson
Asst. Prof. of Civ. Engrg., Solid Mech. Div., Univ. of Waterloo, Waterloo, Ontario and currently Visiting Res. Assoc., Dept. of Civ. Engrg., Div. of Struct. Engrg. and Struct. Mech., Univ. of California, Berkeley, CA
Graham M.L. Gladwell
Prof. of Civ. Engrg., Solid Mech. Div., Univ. or Waterloo, Waterloo, Ontario, Canada
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