Length requirements for single-arc asymmetrical sag vertical curve for highways
Bibliographic record
Abstract
This paper presents the length requirements for a single-arc asymmetrical vertical curve (sag type) for highways that complements two other papers on the curve development and the length requirements (crest type) that have been published. The single-arc, asymmetrical curve takes the form of a cubic instead of parabolic function and its rate of change in grade gradually varies between the start and the end of the curve. The paper presents the length requirements of the single-arc asymmetrical curve based on the headlight, comfort, and overpass criteria. For the headlight criterion, sight distance (SD) relationships are first developed for the new curve considering different locations of the driver and object. The SD profile and minimum sight distance are then examined. Design aids are then established. The results show that the length requirements based on the comfort criteria are about 60% of those of the headlight criteria. The new single-arc asymmetrical curve improves curve characteristics, and as such would be of interest to the highway design community.
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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 | 0.001 | 0.001 |
| 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 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".