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Using the data given below, calculate the wheel load stresses at (a) interior, (b) edge and (c) corner regions of a cement concrete pavement using Westergaard's stress equations.

Also determine the probable location where the crack is likely to develop due to corner loading.

Wheel load, P = 5100 kg

Modulus of elasticity of cement concrete, E = 3.0 x 105kg/cm2

Pavement thickness, h = 18 cm

Poisson's ratio of concrete, μ = 0.15

Modulus of subgrade reaction, K = 6.0 kg/cm3

Radius of contact area, a = 15 cm

1 Answer
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Radius of relative stiffness(l) is given by

l=[Eh312K(1μ2)]14=70.6cm

The equivalent of resisting section is given by

a/h = 15/18 = 0.833 < 1.74

b = 1.6a2+h20.675h = 14.0 cm

(a) Stress at the interior:

$S_i = \frac{0.316 P}{h^2}[4log_{10}(\frac{l}{b}) +1.069] = …

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