According to Westgard the equivalent radius for the resistance of section b is given as b = _______. where 'a' is the radius of wheel load distribution and 'h' is the thickness of the slab.
This question relates to determining the equivalent radius for the resistance of section 'b' in pavement analysis, according to Westgard's methodology. The formula depends on the relationship between the radius of the wheel load distribution, denoted as 'a', and the thickness of the concrete slab, denoted as 'h'.
Westgard Equivalent Radius Formula Explained
Westgard proposed a formula to calculate the equivalent radius 'b' which considers the distribution of a wheel load and the slab's properties. The specific formula used depends on whether the radius of the wheel load distribution ('a') is less than or greater than a critical value related to the slab thickness ('h').
The critical value is given as 1.724 times the slab thickness 'h'.
According to the provided options and the correct answer, the formula for the equivalent radius 'b' is:
b = \(\sqrt{1.6a^2+h^2}-0.675h\)
This formula is applicable specifically under the condition where the radius of the wheel load distribution 'a' is less than 1.724 times the slab thickness 'h'. Mathematically, this condition is expressed as:
a < 1.724h
Therefore, when a is less than 1.724h, the equivalent radius 'b' is calculated using the formula \(\sqrt{1.6a^2+h^2}-0.675h\).
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