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M-1 Appendix M. Conversion 2-Layer Model for Rigid Pavements Subroutine The conversion to concrete 2-layer model was programed to determine the subgrade k-value and radius of relative stiffness, based on pavement structure subroutine that will calculate the moment of inertia of the transformed section of the concrete slab and base course, interfacial degree of bonding, and equivalent thickness of concrete. The subgrade k-value can be determined by the ANN model with inputs variables that are listed in Table M.1. The degree of bonding from the pavement structure subroutine can be fed into the ANN model of subgrade k-value. The equivalent thickness from pavement structure subroutine and subgrade k-value will be used in the equation of the radius of relative stiffness to calculate the relative stiffness of slab relative to that of the foundation. The outputs of the subroutine will be supplied as inputs to the performance prediction in the current Pavement ME Design for concrete pavements. The conversion 2-layer subroutine outputs the models including: ï· Modulus of subgrade reaction model. ï· Radius of relative stiffness. Table M.1. Input Variables into Modulus of Subgrade Reaction Model. Input variables Description Unit Modulus slab modulus psi Modulus base modulus psi Modulus subgrade modulus psi hs layer Poissonâs Ratio (slab and base) in hb thickness of base course in degree of bonding The equation of radius of relative stiffness based on the concept of equivalent thickness and subgrade k-value is given: 12 1 (M.1) where is the modulus of subgrade reaction; Es is the elastic modulus of the PCC; is the Poissonâs ratio of the PCC; heq is the slab-base equivalent thickness; and le is the radius of relative stiffness.
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