Design wheel load = 7500kg, Contact pressure = $7.5kg/cm^2$, Spacing between longitudinal joints = 3.75m and contractions joints is 4.2m, Elastic modulus of the pavement materials/CC is $3\times10^5kg/cm^2$, Poissons ratio = 0.15, Modulus of sub gradereaction = $30kg/cm^3$. Thermal coefficient of cc per $^\circ C=1\times10^{-5}/CC$, flexural strength of CC = $45kg/cm^2$, Max. temperature differential at the location for pavement thickness values of 24.26 and 30 cm are respectively 15.6, 16.2 and 16.8 $^\circ C$. Calculate the desired factor of safety with respect to load stress and warping stress at edge region.

(1)

$\textit{To find radius (l) of relative stiffness:}$

$P = \textit{Design wheel load} = 7500\hspace{0.05cm}kg$

$p = \textit{Contact pressure} = 7.5\hspace{0.05cm}kg/cm^2$

$\textit{We know},$

$a = \textit{Radius of load} = \sqrt{\frac{P}{p \pi}}$

$\hspace{03cm} = \sqrt{\frac{7000}{7.5\pi}} = 17.24\hspace{0.05cm}cm$

$\textit{TRIAL 1 : Assume pavement thickness (h) as 25 cm}$

$\hspace{02cm}\therefore h = 25\hspace{0.05cm}cm$ …