ORIGINAL ARTICLE
Optimal Modelling of Steel Multi-Span Beams Using the Gradient-Iterative Method
1
Cracow University of Technology, Kraków, Poland
Online publication date: 2019-12-26
Publication date: 2019-12-01
Civil and Environmental Engineering Reports 2019;29(4):112-127
KEYWORDS
ABSTRACT
The article describes the gradient-iterative optimization method and outlines the method’s basic assumptions and illustrates its general use. The method’s implementation was illustrated based on a steel I-beam. The described calculation example concerns the optimization of the height of the web of a multi-span beam. The method enables finding an optimal solution with the use of simple and commonly available software.
To illustrate the effectiveness of the optimization method, multiple calculations were performed for beams with various spans and various load conditions.
REFERENCES (12)
1.
Jasińska, D and Kropiowska, D 2018. The optimal design of an arch girder of variable curvature and stiffness by means of control theory. Hindawi, Mathematical Problems in Engineering, https://doi.org/10.1155/2018/8....
2.
Kropiowska, D and Mikulski, L and Szeptyński, P 2018. Optimal design of a Kirchhoff plate of variable thickness by application of the minimum principle. Structural and Multidisciplinary Optimization, https://doi.org/10.07/s00158-0....
3.
Laskowski, H 2017. Optimal design of structural elements as a control theory problem. Technical Transactions 6, 119-134.
4.
Mikulski, L and Laskowski, H 2009. Control theory in composite structure optimizing. Measurement Automation Monitoring 6, 346-351.
5.
Mikulski, L 2004. Control structure in optimization problems of bar systems. International Journal of Applied Mathematics and Computer Science 14, 515-529.
6.
Pesch, HJ 1994. A practical guide to the solution of real-life optimal control problems. Control and Cybernetics 23, 7-60.
7.
Sobczyk, Sz and Mikulski, L 2016. A method of optimum selection of post-tensioned concrete beam prestressing by example of a symmetrical three-span beam. Measurement Automation Monitoring 62, 139-145.
8.
Sobczyk, Sz and Mikulski 2014. A different way of finding optimal solution for steel portal frame. Measurement Automation Monitoring 60, 1060-1064.
10.
EN 1991-1-1 – Actions on structures. General actions – Densities, self-weight, imposed loads for buldings.
| eISSN: | 2450-8594 |
| ISSN: | 2080-5187 |
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