Some people call them Mustang radiator supports and others simply call them core supports. Either way, Mustang core supports are hands down the most replaced structural component on a Mustang unibody. Almost always damaged in a frontal impact, these supports are the foundation that holds the radiator, A/C condenser, and headlight panel in it's proper place. Having a damaged radiator support can cause mis-alignment of your body panels and radiator causing all sorts of problems.