how can relate cbr with bearing capacity?
if you have the
a soil primer
pca
by reading corresponding values you may easily build fitting formulations from one to the other in mathcad. there's a variety of fitting formulations and one or other should serve well the technical purpose.
you can choose any other source for the corresponding data.
there are relations but they may be dangerous to apply as cbr was developed for pavements not structures. cbr values are specifically not good to use on sandy soils because pad footings tend to confine sands while the cbr does not. confinement boosts bearing capacity.
better to use standard penetration test results (spt)