Serviceability and Strength of Concrete Floors and Bridge Decks: Grid Analogy
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
This paper analyzes bridge decks and two-way horizontal slabs with or without beams or drop panels using a grid analogy. The grid members are beams with a horizontal centroidal principal axis. The nodal displacements are a downward deflection, two rotations about Cartesian axes, and two translations along the Cartesian axes. The internal forces at a cross section of a grid member were a vertical shearing force, a twisting moment, a bending moment about horizontal principal centroidal axis, and a normal force at centroid. The model gives deflections in agreement with the solution of the differential equation of elastic deflection of thin plates. For ultimate strength design of sections and deflection calculation, it is recommended to use analysis of a grid with zero twisting moments. This can be done by setting a negligible value for the torsion constant for all members. Long-term curvatures and deflections are predicted using equations derived for beams.
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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) | 0.000 | 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