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VENCLOVSKÝ, J. ŠTĚPÁNEK, P.
Original Title
Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section
Type
conference paper
Language
English
Original Abstract
This article focuses on creating an algorithm for the calculation of bending stiffness of an arbitrary polygonal cross section, including the first derivatives of this stiffness with respect to all the input variables. The coordinates of vertices of the cross section are also among these input variables. The algorithm is in principle based on dividing the cross section into trapezoids, calculating zero, first and second moment of area of these trapezoids, including partial derivatives with respect to all the input variables, and then compiling all these partial results into a final output. A DLL library based on this algorithm is then used in an optimization solver based on a reduced‑gradient method. This solver is put into practice to optimize the given cross section characteristics according to prescribed criteria.
Keywords
bending stiffness, moments of polygonal area, optimization
Authors
VENCLOVSKÝ, J.; ŠTĚPÁNEK, P.
Released
25. 4. 2016
Publisher
Trans Tech Publications
Location
Switzerland
ISBN
978-3-0383-5675-2
Book
Proceedings from 22nd Czech Concrete Day 2015
1012-0394
Periodical
Solid State Phenomena
Year of study
249
Number
1
State
Swiss Confederation
Pages from
253
Pages to
260
Pages count
8
URL
http://www.scientific.net/SSP.249.253
BibTex
@inproceedings{BUT126584, author="Jakub {Venclovský} and Petr {Štěpánek}", title="Calculation of bending stiffness and its first derivatives related to optimization of a steel-reinforced concrete cross section", booktitle="Proceedings from 22nd Czech Concrete Day 2015", year="2016", journal="Solid State Phenomena", volume="249", number="1", pages="253--260", publisher="Trans Tech Publications", address="Switzerland", doi="10.4028/www.scientific.net/SSP.249.253", isbn="978-3-0383-5675-2", issn="1012-0394", url="http://www.scientific.net/SSP.249.253" }