- Tyre for a heavy duty vehicle, with a radial carcass reinforcement, comprising a crown reinforcement comprising two working crown layers (41, 42) of reinforcing elements crossed from one ply to the other making angles α1, α2, measured on a cross section of the tyre, greater than 8° with the circumferential direction, said angles α1 and α2 being oriented on either side of the circumferential direction and at least one layer of circumferential reinforcing elements, the crown reinforcement being covered radially by a tread, said tread being joined to two beads via two sidewalls, at most said two working crown layers (41, 42) and said at least one layer of circumferential reinforcing elements being the only ones present to constitute the crown reinforcement over at least 80% of the axial width of the crown reinforcement, the reinforcing elements of the radially outermost working layer forming an angle α2 with the circumferential direction greater in terms of absolute value than the angle α1 formed by the reinforcing elements of the radially innermost working layer with the circumferential direction, the absolute value of the difference between the absolute values of the angles α2 and α1 being greater than 4°, the mean angle α satisfying the relationship: 14 + 131 * exp − L / 100 < α < 28 + 110 * exp − L / 100, α being defined by the relationship Arctan((tan(|α1|)*tan(|α2|)) 1/2), L being the maximum width of the tyre measured in the axial direction on the tyre mounted on its nominal rim and inflated to its nominal pressure and expressed in mm, characterized in that, in a meridian cross section of said tyre, the ratio R of the difference between the distance de measured in a radial direction contained in the circumferential median plane between the radially outermost working layer and the outer surface of the tread and the distance d E measured in a radial direction passing through one end of the layer of circumferential reinforcing elements between the radially outermost working layer and the outer surface of the tread to the distance ds measured in a radial direction passing through said end of the layer of circumferential reinforcing elements between the outer surface of the tread and the straight line tangent to the point on the outer surface of the tread contained in the circumferential median plane (XX') is such that 0.05< R < 3, the distances de and d E being measured on a cross section of a tyre, the bead spacing of which is the same as when the tyre is mounted on the mounting rim recommended by the ETRTO, and the distance ds being measured on a tyre mounted on its nominal rim and inflated to its nominal pressure for 24 hours before being deflated to a pressure of 2 bar. α being defined by the relationship Arctan((tan(|α1|)*tan(|α2|)) 1/2), L being the maximum width of the tyre measured in the axial direction on the tyre mounted on its nominal rim and inflated to its nominal pressure and expressed in mm, characterized in that, in a meridian cross section of said tyre, the ratio R of the difference between the distance de measured in a radial direction contained in the circumferential median plane between the radially outermost working layer and the outer surface of the tread and the distance d E measured in a radial direction passing through one end of the layer of circumferential reinforcing elements between the radially outermost working layer and the outer surface of the tread to the distance ds measured in a radial direction passing through said end of the layer of circumferential reinforcing elements between the outer surface of the tread and the straight line tangent to the point on the outer surface of the tread contained in the circumferential median plane (XX') is such that 0.05< R < 3, the distances de and d E being measured on a cross section of a tyre, the bead spacing of which is the same as when the tyre is mounted on the mounting rim recommended by the ETRTO, and the distance ds being measured on a tyre mounted on its nominal rim and inflated to its nominal pressure for 24 hours before being deflated to a pressure of 2 bar.