Mathematical Model of Fine Aggregate Granulometry Complying With ASTM C33

Abstract

The granulometry of fine aggregates is a fundamental test for the production of quality concrete [1], for this reason the American Association of Materials Testing (ASTM) has created a standard where it shows a granulometric ideal curve (formed by an upper bound and a lower limit), mentioning that the fine aggregate used for the preparation of concrete must be within these limits [4].At present, there are many mathematical models that predict fine aggregate granulometry, but none of them conforms to ASTM specifications [5]. For this reason, the need to elaborate a mathematical model arises that doescomply with those specifications.In this paper, different mathematical models were analyzed and compared with the ASTM C-33 granulometric curve.An equation was also designed that predicts fine aggregate granulometry with a Maximum Aggregate Size (MAS) of 4.76 mm and meets the requirements of ASTM C-33.