I want know how calculate k and R The solution attachment EXAMPLE 4 Figure P12.7

Question

I want know how calculate k and R
The solution attachment EXAMPLE 4 Figure P12.7 shows a concrete pavement with the thicknesses and elastic moduli as indi- cated. Assume a modulus of rupture of 650 psi, a load transfer coefficient of 32, a service- ability loss from 4.5 to 2.0, and poor drainage with 5% of time near saturation. Determine the performance traffic by Eq. 12.21 without the reliability term and check the result by the AASHTO design chart. Portland Cement Concrete E.-4 x 10* psi 8 in. Granular Subbase ESB = 30,000 psi 8 in. Subgrade MR 5000 psi FIGURE P12.7 Pelfosnance log[APSI/(4.5 1.5)] W18ZRSo + 7.35 log(D +1) -0.06+ 1 + 1.624 × 10)(D + 1)841 S.Ca(Do.75- 1.132) + (422-032p) loglas 63rDas-18.42(Elk) 02 (12.21) Temine

Explanation / Answer

Value of K or subgrade modulus of reaction could be found by interpreting from table 12.18 of AASHTO guidelines which gives a chart that correlates K value with sub base thickness and sub base elastic modulus and modulus of resilience of subgrade given in question. The same has been calculated as 350 pci in the above solution attached .

Also it has been clearly mentioned that 5% of time near saturation conditions are there so reliability of pavement would be 100- 5 = 95% which is equal to R in the above solution

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