A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Interaction Diagram of Arbitrarily Shaped Concrete Sections Determined by Constrained Nonlinear Optimization
https://orcid.org/http://orcid.org/0000-0003-0235-6740
A novel method for obtaining complete interaction diagrams of arbitrarily shaped reinforced concrete and composite sections is presented. A mathematical optimization is used to apply the force criterion that maximizes the biaxial bending capacity of a section. A strain criterion for limiting the ultimate strain can be selectively applied through the bound constraint of the optimization problem. Three of the strain parameters for defining the deformation of the section are not fixed, to determine the true ultimate strength at the specified locations in the interaction diagram. A sequential quadratic programming algorithm is used to find the solution. A rotated atan2 function is introduced to overcome the discontinuity in the objective and constraint functions. A tilted axis is used for unsymmetrical sections. Interaction diagrams are obtained for various examples and demonstrate the robustness and versatility of the proposed method. The force criterion provides accurate interaction diagrams for the section, for both normal and high-strength materials.
Interaction Diagram of Arbitrarily Shaped Concrete Sections Determined by Constrained Nonlinear Optimization
https://orcid.org/http://orcid.org/0000-0003-0235-6740
A novel method for obtaining complete interaction diagrams of arbitrarily shaped reinforced concrete and composite sections is presented. A mathematical optimization is used to apply the force criterion that maximizes the biaxial bending capacity of a section. A strain criterion for limiting the ultimate strain can be selectively applied through the bound constraint of the optimization problem. Three of the strain parameters for defining the deformation of the section are not fixed, to determine the true ultimate strength at the specified locations in the interaction diagram. A sequential quadratic programming algorithm is used to find the solution. A rotated atan2 function is introduced to overcome the discontinuity in the objective and constraint functions. A tilted axis is used for unsymmetrical sections. Interaction diagrams are obtained for various examples and demonstrate the robustness and versatility of the proposed method. The force criterion provides accurate interaction diagrams for the section, for both normal and high-strength materials.
Interaction Diagram of Arbitrarily Shaped Concrete Sections Determined by Constrained Nonlinear Optimization
https://orcid.org/http://orcid.org/0000-0003-0235-6740
A novel method for obtaining complete interaction diagrams of arbitrarily shaped reinforced concrete and composite sections is presented. A mathematical optimization is used to apply the force criterion that maximizes the biaxial bending capacity of a section. A strain criterion for limiting the ultimate strain can be selectively applied through the bound constraint of the optimization problem. Three of the strain parameters for defining the deformation of the section are not fixed, to determine the true ultimate strength at the specified locations in the interaction diagram. A sequential quadratic programming algorithm is used to find the solution. A rotated atan2 function is introduced to overcome the discontinuity in the objective and constraint functions. A tilted axis is used for unsymmetrical sections. Interaction diagrams are obtained for various examples and demonstrate the robustness and versatility of the proposed method. The force criterion provides accurate interaction diagrams for the section, for both normal and high-strength materials.
Interaction Diagram of Arbitrarily Shaped Concrete Sections Determined by Constrained Nonlinear Optimization
KSCE J Civ Eng
Kim, Han-Soo (author)
KSCE Journal of Civil Engineering ; 25 ; 3823-3834
2021-10-01
12 pages
Article (Journal)
Electronic Resource
English
Direct determination of arbitrarily shaped cross sections of reinforced concrete beams
| Engineering Index Backfile | 1963
| British Library Conference Proceedings | 2004