ABSTRACT
This work shows the accuracy and feasibility of polynomial regression models for the ultimate hogging moment prediction of composite cellular beams utilising different numbers of simulations. It discusses an attempt to reduce the number of samples in a finite element parametric study, which consists of using only the combination of extreme levels of each factor to develop the regression models. The parametric study has five parameters: cross-section dimensions, hogging moment distribution, unbraced length, opening diameter, and web-post width. The regression models are generated based on 32 (extreme values), 162 (extreme and intermediate values), and 360 numerical model results (all values). An ANOVA was performed on each regression model to assess the parameters’ order of relevance. According to ANOVA, the profile cross-section dimensions and hogging moment distribution were the most significant parameters on the beams’ ultimate moment for all regression models. As good precision was achieved, because of the insignificant differences within the regression models, it was observed that the combination of arbitrated extreme levels for the factors could significantly reduce the number of numerical simulations in a parametric study. Still, this approach could be used for any other type of structure to reduce the computational cost of future numerical investigations.
Acknowledgments
This study was financed by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001 and National Council for Scientific and Technological Development (CNPq).
Disclosure statement
No potential conflict of interest was reported by the authors.
Notation
bf | = | flange width |
bw | = | web-post width |
bwe | = | end-post width |
Cb | = | parameter associated with the distribution of bending moments |
D0 | = | opening diameter |
d | = | depth of parent section |
dg | = | depth of cellular beam |
E | = | elasticity modulus of structural steel |
fck-cylindrical | = | characteristic compressive cylindrical strength of concrete |
fu | = | tensile strength |
fy | = | yield strength |
L | = | unrestrained length of composite beam |
MA | = | moment at quarter-point in the unrestrained length |
MB | = | moment at centerline in the unrestrained length |
MC | = | moment at three-quarter-point in the unrestrained length |
MFE | = | moment obtained from the finite element analysis |
Mmax | = | maximum moment in the unrestrained length |
tf | = | flange thickness |
tw | = | web thickness |
Mu | = | ultimate moment of beam |
p | = | length between the opening diameter centers |
n | = | Poisson ratio of structural steel |
Notes
1. Computer’s configuration: AMD Ryzen 7 2700X Eight-core processor 3.70 GHz; 4 utilised domains; 16 GB RAM.
2. The maximum and minimum number of nodes within the finite element models were 305,750 and 229,993, respectively.