Differential equations govern the bending and deflection of roads under a concentrated load. Identifying critical parameters, such as the maximum deflection and maximum bending moments of a street supported by an elastic subgrade, is key to designing safe and reliable roadways. This project solves the underlying differential equation in pavement deflection and tests various parameters to highlight the importance in selecting proper foundation materials.
"Modulus of Subgrade Reaction and Deflection,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 5.
DOI: http://dx.doi.org/10.5038/2326-3618.104.22.168 Available at: http://scholarcommons.usf.edu/ujmm/vol2/iss1/5
Arcadii Grinshpan, Mathematics and Statistics
Rajan Sen, Civil & Enviromental Engineering