http://www.iaeme.com/IJARET/index.asp 492 editor@iaeme.com
International Journal of Advanced Research in Engineering and Technology (IJARET)
Volume 11, Issue 12, December 2020, pp. 492-503, Article ID: IJARET_11_12_053
Available online at http://www.iaeme.com/IJARET/issues.asp?JType=IJARET&VType=11&IType=12
ISSN Print: 0976-6480 and ISSN Online: 0976-6499
DOI: 10.34218/IJARET.11.12.2020.053
© IAEME Publication Scopus Indexed
PREDICTION OF FLEXURAL STRENGTH OF
EXPANDED POLYSTYRENE LIGHTWEIGHT
CONCRETE USING SCHEFFE'S MODEL
Ubi, S. E.
Department of Civil Engineering, Faculty of Engineering,
Cross River University of Technology, Calabar, Nigeria
Okafor, F. O.
Department of Civil Engineering, Faculty of Engineering,
University of Nigeria, Nsukka, Nigeria
Mama, B. O.
Department of Civil Engineering, Faculty of Engineering,
University of Nigeria, Nsukka, Nigeria
Agbor R.B
Environmental Biotechnology Unit, Department of Genetics and Biotechnology,
University of Calabar, Calabar, Nigeria
ABSTRACT
This research examined the optimization of flexural strength of expanded
polystyrene lightweight concrete mix. The work applied Scheffe’s optimization
technique for a five by two degree polynomial. This linear optimization technique
assumed the proportions of the material components of concrete to be variables in, x
and that these proportions sum up to a whole, that is, unity. It obtained a
mathematical model of the form f (X
1,
X
2,
X
3,
X
4,
X
5
) where, j = 1, …5 are proportions
of the concrete components namely; cement, sand, polystyrene, coarse aggregates and
water/cement ratio. The polystyrene-cement blended proportions were mathematically
optimized by using Scheffe’s approach and the optimization model developed. The
optimal proportion by the program was used prepare beam samples measuring
150mm x 150mm x 750mm which were tested for flexural strength at 28 days and their
results were compared with those of a standard 1:2:4 concrete mix.