  We studied the electronic structure of $\beta$-uranium, which has five
non-equivalent atomic sites in its unit cell, by means of the density
functional theory plus Hubbard-$U$ correction. We found that the 5$f$
electronic correlations in $\beta$-uranium are moderate. More interesting,
their strengths are site selective, depending on the averaged bond length
between the present uranium atom and its neighbors. As a consequence, the 5$f$
density of states, occupation matrices, and charge distributions of
$\beta$-uranium manifest strongly site dependence.
