Plastic Interaction Relationships for Square Hollow Structural Sections: Lower Bound Solution
Publication: Journal of Structural Engineering
Volume 130, Issue 9
Abstract
General interaction relationships for hollow structural square sections subjected to general combinations of normal force, twisting moments, biaxial bending moments, and biaxial shearing forces are developed. The lower bound theorem of plasticity is employed to obtain the fully plastic resistance of the section as determined by the maximum distortional energy density criterion. Previously established interaction relationships for hollow structural sections subjected to bending moments, axial force, and twisting moments are recovered as a special case of the general solution. The developments are expressed as universal, nondimensional relationships suitable for limit state design. Consideration is given to the limits of applicability of the interaction relations. Simplifying assumptions are made and their effects are discussed. A stress resultant transformation scheme is developed in order to reduce the number of interaction relations to be developed from 20 cases to only three fundamental cases.
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Published In
Journal of Structural Engineering
Volume 130 • Issue 9 • September 2004
Pages: 1381 - 1391
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jun 20, 2002
Accepted: Dec 2, 2003
Published online: Aug 16, 2004
Published in print: Sep 2004
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