We describe the construction of new configurations of self-gravitating p-br
anes with worldvolume geometries of the form R-1,R-p-s x S-s, with 1 less t
han or equal to s less than or equal to p, i.e., tubular branes. Since such
branes are typically unstable against collapse of the sphere, they must be
held in equilibrium by a fluxbrane. We present solutions for string loops
with non-singular horizons, as well as M5-branes intersecting over such loo
ps. We also construct tubular branes which carry in their worldvolume a dis
solved, lower dimensional brane (as in the dielectric effect), or an F-stri
ng. However, the connection between these solutions and related configurati
ons that have been studied earlier in the absence of brane self-gravity, is
unclear. It is argued that, at least in some instances, the self-gravitati
ng solutions do not appear to be able to reproduce stable configurations of
tubular branes. (C) 2001 Elsevier Science B.V All rights reserved.