Dimensioning equivalent of circular footing subjected to eccentric load with effective area approach
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
Existence of moment or eccentricity is a common loading situation; thus, it is necessary to be totally aware of the circular footing bearing capacity subjected to eccentric load to design economically. This paper presents a design chart for transforming a circular footing under eccentric load into an equivalent rectangular footing, allowing the use of existing bearing capacity formulas. A new “effective area” is defined, and characterized by a uniform soil pressure distribution. Unlike previous methods, the paper fully describes the calculation process for this area. The results show significant differences in the dimensions of equivalent footings compared to older methods, especially in designs with low eccentricities, leading to higher bearing capacities. Additionally, the dimensions of the “contact area,” which fully interacts with the soil, are derived to ensure compliance with building codes. Finally, simple mathematical expressions for eccentricity reduction factors are provided for both drained and undrained conditions.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 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 | 0.001 |
| 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