On the torsional stiffness of thick laminated plates
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Bibliographic record
Abstract
An analytical method is developed for the calculation of the torsional stiffness of thick laminated rectangular plates of finite width. Through-thickness shear deformations are included in order to satisfy vanishing of in-plane shear stresses at the free edges, which constitutes a non-trivial effect in thick laminated plates. The present method is based upon the calculation of a characteristic value for the relevant laminate, which serves to quantify the relative rate at which in-plane shear stresses are attenuated near free edges. This characteristic value is subsequently utilized in order to calculate an “effective” width-to-thickness aspect ratio, which is then used to calculate the torsional stiffness of the laminated plate. The present analytical method is computationally validated against 22 unique cases that were synthesized from seven different laminate layups, two different width-to-thickness aspect ratios, and two types of torsional loadings.
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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 | 0.000 |
| 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 it