  Using the revised Komar-Tomimatsu approach, we derive Smarr mass formulas for
stationary axisymmetric solutions of the Einstein-Maxwell equations containing
line singularities (defects) on the polar axis. In terms of the rod structure
associated with Weyl representation of the metric, the horizons and the defects
are formally similar up to differences due to their timelike/spacelike
character. We derive (previously unknown or incorrect) horizon and global Smarr
formulas in presence of a Newman-Unti-Tamburino (NUT) parameter. To avoid the
divergence of the Komar angular momentum of semi-infinite Dirac and Misner
strings, it is necessary to use a symmetric tuning. We also note that the
horizon mass Smarr formula does not include either magnetic charge, or NUT
parameter, correcting some statements in the literature. The contribution of
each Misner string to the total mass consists in an angular momentum term, an
electric charge term, and a length term, which can also be presented as the
product of the spacelike analogue of surface gravity and the area of the
string.
