A circumferential sealing arrangement is disclosed herein. The circumferential sealing arrangement includes a structure operable to rotate about an axis and having a first surface facing radially outward. The circumferential sealing arrangement also includes a static housing circumscribing the rotatable structure. The circumferential sealing arrangement also includes at least one seal element connected to the static housing and having a second surface facing radially inward. The circumferential sealing arrangement also includes a seal runner rotatable with the structure and having a third surface facing radially outward. The third surface cooperates with the second surface to form a circumferential seal between the static housing and the rotatable structure. A radial gap is defined between the first surface of the rotatable structure and a fourth surface of the seal runner facing radially inward and opposing the first surface. The circumferential sealing arrangement also includes at least one resilient member disposed in the radial gap and operable to radially compress in response to a change in size of the radial gap to limit hoop stresses being generated in the seal runner.