There is need to understand the structure of hard-sphere dispersions under flow in order to develop models for colloid rheology since changes in structure are related to non-Newtonian behaviour. Small-angle neutron scattering (SANS) data for polymer lattices, behaving as nearly hard spheres, at shear rates through the region of the shear thinning are presented. Intensity distributions from these new and detailed low-angle scattering experiments are compared with the intensities calculated directly from computer simulations employing a Rouse model.