Authors :
K. C. Nwachukwu; P. O. Okorie; E.O. Ihemegbulem; Kemebiye Dimaro; C. S. Uzoukwu; J.C. Maduagwu
Volume/Issue :
Volume 7 - 2022, Issue 1 - January
Google Scholar :
http://bitly.ws/gu88
Scribd :
https://bit.ly/3qK5x1k
DOI :
https://doi.org/10.5281/zenodo.5887099
Abstract :
This research work is aimedat using an
optimization model based on Scheffe’s Second Degree
Polynomial (5,2) to optimize the compressive strength of
Polypropylene Fibre Reinforced Concrete (PFRC).In this
study, Scheffe’s Second Degree Polynomial (5,2) model
developed by Nwachukwu and others (2017) for five
component mixture will be used to optimize the mix
proportion that will produce the maximum strength of
PFRC. Using Scheffe’s Simplex method, the compressive
strength of PFRC was determined for different mix
ratios. Control experiments were also carried out and the
compressive strength determined. After the tests have
been conducted, the adequacy of the model was tested
using Student’s t-test. The test statistics found the model
adequate for predicting the compressive strength of
PFRC when the mix ratio is known. Optimum
compressive strength for the Scheffe’s(5,2) model was
obtained as 25.23N/mm2
. Since structural concrete
elements are generally made with concrete having a
compressive strength of 20 to 35 MPa (or 20 to35N/mm2
),
it then means that optimized PFRC based on Scheffe’s
model can produce the required compressive strength
needed in major construction projects such as bridges
and light-weight structures. Stakeholders in the
construction industry are therefore advised to use the
optimized PFRC, mainly for its economic and safety
advantages.
Keywords :
PFRC, Scheffe’s(5,2) Polynomial Model, Optimization, Compressive strength ,Regression.
This research work is aimedat using an
optimization model based on Scheffe’s Second Degree
Polynomial (5,2) to optimize the compressive strength of
Polypropylene Fibre Reinforced Concrete (PFRC).In this
study, Scheffe’s Second Degree Polynomial (5,2) model
developed by Nwachukwu and others (2017) for five
component mixture will be used to optimize the mix
proportion that will produce the maximum strength of
PFRC. Using Scheffe’s Simplex method, the compressive
strength of PFRC was determined for different mix
ratios. Control experiments were also carried out and the
compressive strength determined. After the tests have
been conducted, the adequacy of the model was tested
using Student’s t-test. The test statistics found the model
adequate for predicting the compressive strength of
PFRC when the mix ratio is known. Optimum
compressive strength for the Scheffe’s(5,2) model was
obtained as 25.23N/mm2
. Since structural concrete
elements are generally made with concrete having a
compressive strength of 20 to 35 MPa (or 20 to35N/mm2
),
it then means that optimized PFRC based on Scheffe’s
model can produce the required compressive strength
needed in major construction projects such as bridges
and light-weight structures. Stakeholders in the
construction industry are therefore advised to use the
optimized PFRC, mainly for its economic and safety
advantages.
Keywords :
PFRC, Scheffe’s(5,2) Polynomial Model, Optimization, Compressive strength ,Regression.
