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Radius of Relative Stiffness

The radius of...

Question

The radius of relative stiffness of slab to subgrade depends on
I. Thickness of pavement
II. Radius of contact area
III. Modulus of elasticity of cement concrete
IV. Modulus of subgrade reaction

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Solution

$Radius of relative stiffness L = {(\frac{E h^{3}}{12 K (1 - μ^{2})})}^{1 / 4}$
It depends on

Modulus of elasticity of cement concrete (E)

Modulus of subgrade reaction, K

Thickness of pavement, h

Poisson's ratio

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Q. Compute the radius of relative stiffness (in cm) of a 15 cm thick cement concrete slab from the following data:
Modulus of elasticity of cement concrete =

2.1 \times 10^{5} k g / c m^{2}

Poisson's ratio of concrete = 0.15
Modulus of subgrade reaction, k

= 5 k g / c m^{2}

Q. In the context of the IRC 50-2011 guideline for rigid pavement design, consider the following pair of statements.

I : Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely related to Poisson's ratio

II : Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade reaction.

Which one of the following combinations is correct ?

Q. Given that

r = radius of load distribution
E = modulus of elasticity of concrete
K = modulus of subgrade reaction

μ

= Poisson's ratio of concrete
h = thickness of slab
P = wheel load

The combination of parameters required for obtaining the radius of relative stiffness of cement concrete slab is

Q. The radius of relative stiffness of a rigid concrete pavement using the following data is ____ cm

(i) Modulus of elasticity of concrete

= 3.0 \times 10^{5} k g / c m^{2}

(ii) Thickness of pavement slab = 20 cm
(iii) Poisson's ratio = 0.15
(iv) Wheel load = 4100 kg
(v) Pressure applied to the plate load test at 1.25 mm displacement

= 0.375 k g / c m^{2}

Q. Using Westergaard's equation, the stress at the edge region of a cement concrete pavement based on following data will be ____
Wheel laod

= 4100 k g

Modulus of elasticity of cement concrete

= 3 \times 10^{5} k g / c m^{2}

Pavement thickness = 15 cm
Modulus of subgrade reaction = 3 kg/cm

^{3}

Radius of contact area = 15 cm
Poisson's ratio = 0.15

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