Equal Arc Segment Method for Averaging Data Plots Exemplified for Averaging Stress versus Strain Curves of Pervious Concrete
Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 1
Abstract
In common engineering practice, data plots, such as the stress versus strain relationship of materials, are averaged among a series of samples using the mean ordinate (MO) method. This method is reliable as long as the sample performance does not vary significantly. If the stress versus strain curve of individual samples differs significantly in terms of shape, peak stress, and corresponding strain, the MO method may result in misleading average curves that do not adequately represent the material behavior. In this paper, an equal arc segment (EAS) method for averaging data plots is presented. Based on experimentally obtained compressive stress versus strain curves for pervious concrete, a comparison has been conducted between the proposed EAS method and the MO method. The results show that the EAS method outperforms the MO method, especially where there are high variations in the data pool. The EAS method is not limited to pervious concrete as showcased here, but can be applied to other data plots as well.
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Acknowledgments
This research has been supported by a fellowship from the State Scholarship Fund of China, the China Scholarship Council (CSC), and the University of Connecticut. The writers would also like to acknowledge the support from the following companies: Elkem Materials and Lehigh Cement Company.
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Published In
Journal of Materials in Civil Engineering
Volume 28 • Issue 1 • January 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Oct 2, 2014
Accepted: Mar 26, 2015
Published online: May 19, 2015
Discussion open until: Oct 19, 2015
Published in print: Jan 1, 2016
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