  Motivated by a recent experiment [Kapfer et. al., Science {\bf 381}, 677
(2023)], we analyze the structural effects and low-energy physics of a bent
nanoribbon placed on top of graphene, which creates a gradually changing
moir\'e pattern. By means of a classical elastic model we derive the strains in
the ribbon and we obtain its spectrum with a scaled tight-binding model. The
size of the bent region is determined by the balance between elastic and van
der Waals energy, and different regimes are identified. Near the clamped edge,
strong strains and small angles leads to one-dimensional channels. Near the
bent edge, a long region behaves like magic angle twisted bilayer graphene
(TBG), showing a sharp peak in the density of states, mostly isolated from the
rest of the spectrum. We also calculate the band topology along the ribbon and
we find that it is stable for large intervals of strains an twist angles.
Together with the experimental observations, these results show that the bent
nanoribbon geometry is ideal for exploring superconductivity and correlated
phases in TBG in the very sought-after regime of ultra-low twist angle
disorder.
