Reliability and Statistical Analyses of Reinforced Concrete Beams Considering Shear-moment Interaction
Bibliographic record
Abstract
In this thesis, the reliability and statistical analyses of reinforced concrete (RC) coupling beams and overhanging beams designed per the flexural and shear design requirements specified in the current Canadian concrete design code, CSA A23.4-04, are carried out considering the combined shear force and bending moment. The shear forces and bending moments acting on the coupling beams are assumed to be due to the wind load only, whereas the load effects on the overhanging beams are assumed to be due to the dead and live loads. The modified compression field theory (MCFT) is implemented to predict the shear-moment interaction diagram of the RC beam cross section. The statistical parameters of the coupled shear-moment resistance are evaluated by incorporating the MCFT in the Monte-Carlo simulation. The first-order reliability method (FORM) is employed to evaluate the reliability indices for the critical sections in the RC beams based on the statistics of the shear-moment resistance and maximum load effects over a 50-year design life. The calculated reliability\nindices are either consistent with or slightly lower than the selected target reliability index of 3.0 based on a 50-year design life. The RC beams designed using the general method included in CSA A23.3-04 shear design provisions usually have a higher reliability level than those designed using the simplified method. The bias factors of the coupled shear-moment resistance are obtained for the critical sections in the RC beams considered in this study. The coefficient of variation of the shear-moment resistance is approximately 16% for coupling beams and 15% for overhanging beams. The shear-moment resistance can be adequately characterized by the normal distribution.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.004 |
| 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 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), 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".