The invention concerns a deformable structure (1) for a vehicle, designed to run about an axis of rotation, comprising an inner ring-shaped element (3) centred on the axis, an outer ring-shaped element (4) forming a flexible and substantially extensible running tread, arranged radially externally relative to said inner element (3), a plurality of spokes (5, 52, 53, 56) arranged substantially radially between the inner element (3) and the outer ring-shaped element (4), each spoke being capable of opposing with a radial compression stress, beyond a specific threshold, a substantially constant force, said outer element (4) having a circumferential lengthuch that said spokes (5, 52, 53, 56) are prestressed with radial compression, and means stabilising (6, 7) relative positions between the inner element (3) and the outer element (4). The invention is characterised in that said spokes (5, 52, 53, 56) are shaped and arranged between the inner (3) and the outer (4) elements such that their flexibility in a meridian plane is much less than their flexibility in a circumferential plane and the stabilising means (6, 7) limit the amplitude of a circumferential relative rotation between the inner element (3) and the outer element (4).