Finite-Element Formulation for Lateral Torsional Buckling of Monosymmetric Beams Strengthened with Cover Plates
Bibliographic record
Abstract
The present study develops a finite element (FE) formulation based on the kinematics of thin-walled beam theory to determine the elastic lateral torsional buckling capacity of singly symmetric beams strengthened with cover plate(s) while under loading. The formulation captures the effects of prestrengthening load and prebuckling curvature. Comparative analyses with shell models revealed that the proposed solutions reliably predict the poststrengthening critical moments when cross-section distortion is suppressed. Practical recommendations for suppressing distortion are provided. The FE model developed is then used to develop a systematic parametric study to assess the effects of load height, magnitude of prestrengthening loads, flange dimensions, strengthening cover plate dimensions, beam unbraced length, loading patterns, and boundary conditions on the total elastic critical moment capacity. This study examines the loading conditions under which the magnitude of prestrengthening loads significantly influences the predicted total critical moments.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".