International Journal of Science and Research (IJSR)
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Research Paper | Civil Engineering | Nigeria | Volume 10 Issue 8, August 2021

# Development of a Mathematical Model to Estimate Soaked California Bearing Ratio of a Lateritic Soil in Ekiti Northern Senatorial District, Nigeria

Oluwayinka Glory Akinwamide | Joseph Adebayo Ige | Joshua Tunbosun Akinwamide

Abstract: This paper investigates the Development of a mathematical model to estimate Soaked California Bearing Ratio of a lateritic soil. The study area was divided into Five Zones: A total of 40 samples were collected with Eight samples per zone. Laboratory tests such as: Particle size analysis, Consistency Limits tests, Compaction test, California Bearing Ratio (CBR), the data base was prepared in the laboratory by conducting tests on 40 soil samples obtained in borrowed pit found in Ekiti Northern Senatorial Districts, Ekiti State, South Western Nigeria e. The online available R software, R. studio and R. mark down was used to analyze Multiple Linear Regression (MLR) to develop a soaked CBR model the models input layer contain six nodes (soil index properties) and the output layer containing a single node (i. e. CBR) have been taken. The descriptive analysis for training and testing was performed, the predicting power of the developed models was examined in terms regression models, descriptive statistic, AIC and ANOVA. The visual soil profile description of all trial pits to a depth of 1.3m investigated, reveal little variation within the soil strata. The laboratory results on the index properties indicated that the soils of the study area is characterized as Clayey soils (A - 4, A - 6 and A - 7 - 5) and Silty or Clayey gravelling soils (A - 2 - 6, A - 2 - 7) according to AASHTO classification system The soil strength assessment indicates that the soils samples from all the Zones fell within the minimum dry density recommended for subgrade materials, stabilization is recommended for its suitability for either sub base or base course material for future contractor around this study area this will savage haulage expenses when material are move from far distance to the site of work The results of the mathematical model showed that Out of all the predictors for soaked CBR only MDD has a positive effect with the curve maintaining a symmetrical nature which indicates normality in residuals. The relationship between the actual values of soaked CBR and the predicted values is approximately 54 % strong. The deviations between the predicted and original CBR values are not significant This research work will serve as a data base for future planner and constructor within this Senatorial zone.

Keywords: ANOVA, Multiple Linear Regression, Mathematical model, Soaked CBR, Senatorial zone

Edition: Volume 10 Issue 8, August 2021,

Pages: 436 - 442