Response Surface Methodology Modeling and Optimization of Reinforcement Frame Deflection and Cost
A rectangular frame was reinforced by using rods. The rods were arranged in a number of different ways, so that
they crossed the frame in a vertical, horizontal and inclined manner. Some permutations involved rods of different
arrangements together. Investigations were established to reflect a central composite design in response surface methodology.
The frame free edge had a theoretical deflection and this was calculated. Introducing rods into the frame allowed the torsional
resistance to change for the various arrangements and this gave rise to different deflections. When the rods were arranged so
that they crossed the frame or traversed it, the torsional resistance was highest. Design of experiments (DOE) calculations
within the Minitab program allowed the results of these investigations to be analyzed and the deflection to be minimized. Input
factors and their interactions were also analyzed along with their corresponding effects. In addition to the overall effect on the
deflection, the cost of the rods was also considered. The deflection was most significantly decreased with the use of
longitudinal rods, whilst cost was most minimized with the use of transverse rods. It was clear that the model was able to
predict the deflection because the model had a high correlation coefficient of R2 = 97.991% with the experimental data.
Keywords - Frame deflection, frame torsional resistance, frame stiffening, design of experiment (DOE), Response surface