# If W is load on a circular slab of radius R, the maximum radial moment at the centre of the slab is-

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If W is load on a circular slab of radius R, the maximum radial moment at the centre of the slab is-
1. $\frac{{W{R^2}}}{{16}}$
2. $\frac{{3W{R^2}}}{{32}}$
3. $\frac{{W{R^2}}}{{32}}$
4. $\frac{{3W{R^2}}}{{16}}$

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Correct Answer - Option 4 : $\frac{{3W{R^2}}}{{16}}$

Radial moment at the centre of the Circular slab is

${M_R} = \frac{W}{{16}} \times \left( {\left( {3 + \mu } \right)\left( {{R^2} - {r^2}} \right)} \right)$

Where MR = Radial moment

R = radius of slab

μ = Poisson’s ratio

r = any section at a distance r from centre of the slab

W = load on circular slab

For maximum radial moment at centre

r = 0 and μ = 0

therefore, ${M_R}\; = \frac{W}{{16}} \times 3 \times {R^2} = \frac{{3W{R^2}}}{{16}}$