Analysis of Rectangular Plates Based on the Hydrostatic Point Phenomenon
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Bibliographic record
Abstract
This paper provides innovative analysis of rectangular plates having various aspect ratios and boundary conditions based on a true understanding of the two-way action. Nine plates with different boundary conditions, each having 11 aspect ratios were uniquely analysed using SAP2000 software. The finite element analysis results were validated against mathematical solutions showed a satisfactory agreement. The hydrostatic point phenomenon was established as the reference point for identifying plates with actual twoway action and as the growth reference for other cases, allowing for the use growth models for both the hydrostatic and deviatoric moment tensors. The innovative selection of the extreme positive point moment facilitates the introduction of material nonlinearity into the design. The plate shorter dimension was used for moment normalization in both directions to preserve the directional influence of the dimensions and to isolate the hydrostatic phenomenon. It was found that for any boundary conditions, through starting at a hydrostatic phenomenon occurrence and via fixing a dimension and extending the perpendicular dimension, the extreme point Mohr circle develops from the hydrostatic point phenomenon as a growth in the hydrostatic component and a more radical growth in the deviatoric component. The largest principal moment develops a higher magnitude as the aspect ratio increases. The presence of non-identical boundary conditions in the plate on two perpendicular directions results in a deviation of the two-way action.
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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) | 0.000 | 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 it