Explicit Inelastic Stiffness for Beam Elements with Uniform and Nonuniform Cross Sections
Publication: Journal of Structural Engineering
Volume 134, Issue 4
Abstract
The quasi-plastic-hinge approach proposed by Attalla et al. in 1994 for material nonlinear analysis is formulated using the total form expressions, which is generally computationally inefficient as numerical integrations and finite-difference schemes are required to obtain the elastic-plastic flexibility coefficients. To overcome the above drawback, the quasi-plastic-hinge approach is formulated in an incremental form for beams with uniform cross sections, by which the elastic-plastic flexibility coefficients are explicitly given. The procedure is directly extended to nonuniform beams through use of different moment-curvature relations for the two ends of the beam, or indirectly through subdivision of the beam into a number of inner segments. The elastic-plastic flexibility coefficients derived for both cases are also explicitly given. For comparison, three steel frames composed of nonuniform cross sections are studied, from which the accuracy of the proposed approaches for treating frames with uniform and nonuniform cross sections is verified.
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Acknowledgments
The study reported herein is partly sponsored by the research project granted to the first writer by the National Science Council via grant number NSC 89-2211-E-002-124. This financial aid is gratefully acknowledged.
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Information
Published In
Journal of Structural Engineering
Volume 134 • Issue 4 • April 2008
Pages: 608 - 618
Copyright
© 2008 ASCE.
History
Received: Oct 17, 2006
Accepted: May 8, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
Notes
Note. Associate Editor: Enrico Spacone
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