| Article ID: | iaor1992551 |
| Country: | United Kingdom |
| Volume: | 17 |
| Issue: | 3 |
| Start Page Number: | 175 |
| End Page Number: | 204 |
| Publication Date: | May 1991 |
| Journal: | Engineering Optimization |
| Authors: | Simoes L.M.C. |
| Keywords: | design, programming: convex, programming: quadratic, quality & reliability |
A mathematical programming technique is described which minimizes the total average volume of steel reinforcement of a reinforced concrete frame for a specific failure probability. The structural material is assumed to exhibit a perfectly-plastic behaviour so that plastic collapse is the only possible failure mode. It consists of solving alternatively a reliability assessment problem, which incorporates recent developments in large-scale constrained concave quadratic programming and an optimal sizing problem (convex minimization) until the best reliability-based design against collapse is found.