Abstract
Main goal of the paper is to present an algorithm for stochastic optimization of design of steel-reinforced concrete element’s cross section. Firstly, the deterministic problem is introduced and described, followed by the description of uncertainties involved in the process and stochastic reformulation of the problem. Afterwards, the algorithm itself is introduced. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. The probability is assessed on orthogonal grid via modified bisection method. The paper concludes with presentation of the performed calculations and their results.
Highlights
It is possible to see various applications of mathematical optimization in civil engineering Initially, deterministic approaches have been introduced to solve these issues
Main goal of the paper is to present an algorithm for stochastic optimization of design of steel-reinforced concrete element’s cross section
The deterministic problem is introduced and described, followed by the description of uncertainties involved in the process and stochastic reformulation of the problem
Summary
It is possible to see various applications of mathematical optimization in civil engineering (structural design, reconstruction of transportation networks etc.) Initially, deterministic approaches have been introduced to solve these issues (see [1]). Despite their complexity, these approaches are insufficient to comprehend the probabilistic nature of mentioned problems and provide only suboptimal solutions. This paper aims to introduce an optimization algorithm, which works in two cycles. The external cycle deals with probability and as mentioned before it is heuristic, based on simulation and regression analysis. It works in the space of stochastic variables rather than the space of the design variables. Vector x in task (1-4) contains variables, which describe shape of the beam’s cross section, including the area of reinforcing steel (see figure 1 as an example)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IOP Conference Series: Materials Science and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
