Ideal and optimum fineness moduli are used in combination with the geometri
cal gradation of aggregates to establish the mix proportioning of mass conc
rete. The ideal and optimum fineness moduli are experimentally determined f
or each maximum size of aggregate (MSA) by making concrete mixtures with ag
gregates of different fineness modulus and determining which of the mixture
s give the highest compressive strength for a given cement-to-aggregate rat
io, For each MSA, an adequate number of cement-to-aggregate ratios is selec
ted and at least three different water-to-cement ratios are used in order t
o cover a broad range of strength. Also, for each cement-to-aggregate ratio
, five mix proportions with different amounts of sand are studied. Geometri
cal gradations are used for comparison and for smoothening-out proposed gra
dations. Geometrical gradation is also utilized as a criterion for the conc
rete mix proportioning when large aggregates (152 mm) are used. Experimenta
l results are used to exemplify the method.