A non-pneumatic tire includes a generally annular inner ring that attaches to a wheel, a generally annular outer ring, and an interconnected web between the generally annular inner ring and the generally annular outer ring. The interconnected web defines a plurality of openings circumferentially spaced around the tire and radially spaced at varying distances from an axis of rotation, so as to support a load by working in tension. The interconnected web includes a plurality of web elements having a varying thickness, including a first plurality of web elements above the axis of rotation and a second plurality of web elements below the axis of rotation. The varying thickness is configured to facilitate buckling of the interconnected web. When a load is applied, the first plurality of web elements are subjected to a tensile force while the second plurality of web elements buckle.