Design Expressions for Elastic Lateral Torsional Buckling Capacity of I-Beams Strengthened While under Loading
Publication: Journal of Structural Engineering
Volume 149, Issue 7
Abstract
Starting from a recently developed variational principle for the lateral torsional buckling analysis of steel I-beams strengthened with cover plates, this study formulated an energy-based solution that quantifies the lateral torsional buckling resistance of simply supported strengthened I-beams. The solution captures the detrimental effect of loads that may act on the beam prior to strengthening through an interaction relation combining the prestrengthening and poststrengthening peak moments. Additionally, it captures the effects of moment gradient and load height for pre and poststrengthening loads, as well as prebuckling deformation effects through a series of design-oriented coefficients. A systematic comparison of the solution to finite-element analysis (FEA) predictions demonstrated its accuracy for a wide range of cross sections, strengthening plate geometries, spans, pre and poststrengthening load distributions, and load heights. The use of the proposed solution in typical strengthening design scenarios was illustrated through two examples. The simplicity of the solution compared with the FEA, the universality implied by its dimensionless format, and its predictive accuracy make it attractive in a design environment.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge scholarship support from the University of Ottawa to the first author and further research funding from the Natural Science and Engineering Research Council of Canada (NSERC) to the second author.
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© 2023 American Society of Civil Engineers.
History
Received: Oct 29, 2022
Accepted: Feb 14, 2023
Published online: Apr 25, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 25, 2023
ASCE Technical Topics:
- Beams
- Buckling
- Continuum mechanics
- Design (by type)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Forces (type)
- I beams
- Load and resistance factor design
- Load distribution
- Load factors
- Methodology (by type)
- Numerical methods
- Solid mechanics
- Structural behavior
- Structural design
- Structural dynamics
- Structural engineering
- Structural members
- Structural strength
- Structural systems
- Torsion
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