A Statistical Approach to Optimizing Concrete Mixture Design

Table 6

Optimization of concrete mixture design.

Optimization option	𝑓^′𝑐 (MPa)	Optimum levels of the mixture variables			Cost level
		𝑄𝐶; (kg/m^3)	𝑅w/cm; (by mass)	𝑅FA/TA; (by mass)
(i) Optimizing the levels of 𝑅w/cm and 𝑅FA/TA for achieving maximum  compressive  strengths at different levels of 𝑄𝐶	42.1	350	0.38	0.45	Low
	40.7	375	0.38	0.45	Medium
	39.3	400	0.38	0.45	High
(ii) Optimizing the levels of 𝑅w/cm and 𝑅FA/TA for achieving different target  compressive  strengths at different levels of 𝑄𝐶	30.0		0.48	0.40
	35.0	350	0.44	0.42	Low
	40.0		0.40	0.44
	30.0		0.47	0.41
	35.0	375	0.43	0.42	Medium
	40.0		0.38	0.44
	30.0		0.46	0.41
	35.0	400	0.41	0.43	High
	40.0		0.38	0.45