Investigating Mathematical Modeling for Determining Concrete Pavement’s Composite Foundation Reaction Modulus (K∞) Using Regression Optimization Concretes | ||
| مهندسی زیر ساخت های حمل و نقل | ||
| Article 2, Volume 11, Issue 4 - Serial Number 44, March 2026, Pages 29-47 PDF (1.13 M) | ||
| Document Type: Research Paper | ||
| DOI: 10.22075/jtie.2025.38579.1730 | ||
| Authors | ||
| mahdi jokar1; Mohammad Mehdi Khabiri* 2; Sara Sarfaraz1; masood temory1 | ||
| 1Department of Civil Engineering, Yazd University | ||
| 2Civil Engineering Departement,Yazd University | ||
| Receive Date: 07 August 2025, Revise Date: 19 December 2025, Accept Date: 19 December 2025 | ||
| Abstract | ||
| The composite foundation reaction modulus (K∞) is a vital parameter in concrete pavement design, characterizing pavement-subgrade interaction behavior and directly influencing stress distribution and deformation in concrete slabs. Traditional determination methods relying on code-based design charts (Code 731 and AASHTO 1993) face data extraction challenges that limit modeling accuracy. This study develops an innovative numerical model for K∞ using data extracted from these charts, assuming a semi-infinite subgrade. Primary objectives include precise chart data extraction, fitting regression models (linear, polynomial, exponential, power, logarithmic), and selecting the optimal mathematical relationship using rigorous statistical criteria. Model performance was evaluated via coefficient of determination (R²), adjusted R², standard error of estimate (SEE), and residual analysis. Results indicate that power model achieves superior statistical performance with R² = 97.41% and low SEE = 0.1308, alongside optimal residual behavior, explaining K∞’s nonlinear dependence on subbase thickness, subbase elastic modulus, and subgrade soil modulus. Analysis revealed that K∞ is critically influenced by: synergy between subbase thickness and elastic modulus; subbase’s protective effect on subgrade, and a subbase thickness threshold condition. These mechanical interactions govern pavement-subgrade system stiffness. The research provides an efficient methodology to convert design charts into analytical equations, enhancing accuracy, reducing human error, and enabling integration into sensitivity analyses and concrete slab thickness optimization under variable subbases. | ||
| Keywords | ||
| Chart-to-Equation Conversion; Nonlinear k Modeling; Subbase Thickness-Modulus Synergy; Threshold Thickness Criterion; Slab Thickness Optimization | ||
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