Vehicle rim for the mounting of a tire, comprising: an axially central part (20) comprising a disc; two lateral parts (31, 32), at least one of the lateral parts being separate from the axially central part, each of the lateral parts having a rim seat receiving a bead of a tire, the axially central part and the two lateral parts being made from a rigid matrix reinforced by a plurality of reinforcement elements; an intermediate part (41, 42) linking the axially central part and each lateral part separate therefrom, this intermediate part being made of a flexible matrix reinforced by a reinforcement, wherein 1 MPa ≦the Young's modulus of uniaxial extension of the flexible matrix ≦100 MPa, the Young's modulus of uniaxial extension of the reinforcement elements is ≧5 GPa; wherein the Young's modulus of uniaxial extension of the rigid matrix is ≧5 GPa.