How to use Latin hypercube sampling for structural related problems? can be explained with a example?

For a beam problem, d=F*L^3/(3*E*I) having following parameters: F varies from 600 N to 800 N (uniformly) R varies from 2 cm to 2.4 cm (uniformly) E varies from 185 to 200 GPa (uniformly) L varies from 1 m to 1.05 m (uniformly)

what is the mean deflection d using latin hypercube sampling. Take n=3000 samples.