Magnet failures with circulating beam in the LHC can lead to losses that could
produce damage within times as short as 3 ms. In order to characterize the
distribution and evolution of these losses, tracking simulations with variable
magnetic field have been done using MADX. The effects on the beam of dipole and
quadrupole failures have been characterized and are presented for the most critical
LHC magnets and circuits. The transverse distribution of primary losses in the
collimators have been studied and loss patters of secondary losses for primary impacts
at different locations have been evaluated. Based on these studies, the redundancy of
the LHC Machine Protection Systems in case of magnet failures with circulating beam
is evaluated.