Safety Factor of Welded-Plate Beams based on Finite Element Linear Buckling Analysis
Bibliographic record
Abstract
Beams made of welded plates are very common thanks to the optimum combination of weight and strength of structure. One of the most important design criteria of these beams is their safety against lateral buckling and local buckling. Linear buckling analysis by Finite Element Method (FEM) quickly gives the load multiplier factor to produce elastic buckling. This factor could be considered as the safety factor against buckling if membrane compression stresses in the most critical zone remain well below yield stress up to the buckling load. Otherwise, this interpretation could become unsafe because the combined membrane plus bending stresses in critical zones, which are neglected in linear elastic analysis, could exceed the yield stress. A correction procedure must then be used and may be summarized into the following steps: (1) Carry out a linear static FEM analysis followed by a linear buckling analysis for calculating the lowest load multiplier factor « f » to produce elastic buckling of the E structure; (2) Identify the most critical zone of the buckling mode 1 and its width “b” ; (3) Check the results of static analysis and identify the value « σmeqvL » which stands for « membrane equivalent stress linearized over the buckled width »; (4) Calculate the so called « elastic buckling stress » by ScrE = fE*σmeqvL ; (5) If ScrE is low enough, accept Scr = ScrE as the critical stress or else correct the critical stress Scr by a correction procedure to be defined by considering plastic deformation due to bending across the thickness in critical zones prior to buckling; (6) Calculate the safety factor against buckling by standard formula f = Scr/σmeqvL. In a similar philosophy of Johnson’s empirical formulas for short columns, the summarized procedure is successfully applied in this paper to numerical examples of thin and moderately thick welded-plate beams for correcting the load multiplier factor given by FEM. Numerical example results show that the proposed correction procedure, or a similar one, is a must-do step after obtaining results of linear buckling analysis by FEM, because the multiplier factor given by FEM could be unsafe or even dangerous for some weldedplate beam designs.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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 teacher head, 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".