  A transition from solid-like to liquid-like behavior occurs when colloidal
gels are subjected to a prolonged exposure to a steady shear. This phenomenon,
which is characterized by a yielding point, is found to be strongly dependent
on the packing fraction. However, it is not yet known how the effective
inter-particle potential affects this transition. To this aim, we present a
numerical investigation of the rheology of equilibrium gels in which a
short-range depletion is complemented by a long-range electrostatic
interaction. We observe a single yielding event in the stress-strain curve,
occurring at a fixed strain. The stress overshoot is found to follow a
power-law dependence on the P\'eclet number, with an exponent larger than that
found in depletion gels, suggesting that its value may depend systematically on
the underlying colloid-colloid interactions. We also establish a mapping
between equilibrium states and steady states under shear, which allows us to
identify the structural modifications induced by the presence of the shear.
Remarkably, we find that steady states corresponding to the same P\'eclet
number, obtained by different combinations of shear rate and solvent viscosity,
show identical structural and rheological properties. Our results highlight the
importance of understanding the coupling between colloidal interactions,
solvent effects, and flow to be able to describe the microscopic organization
of colloidal particles under shear.
