Pneumatic tire with optimized crown and bead architectures

A tire comprising:

• a tread intended to come into contact with a ground via a tread surface, having an axial width L and comprising a tread central part having a width equal to 0.8*L, the tread central part comprising at least two circumferential grooves;
• a crown reinforcement, radially on the inside of the tread, comprising at least one crown layer, each crown layer being a layer of reinforcing elements, the crown reinforcement comprising a working reinforcement comprising at least one working layer, each working layer comprising reinforcing elements which are at least partially metallic, coated with an elastomeric material, parallel to one another and which make, with a circumferential direction of the tire, an oriented angle of which an absolute value is at least equal to 15° and at most equal to 50°, each crown layer extending radially from a radially inner surface to a radially outer surface, the radially outermost crown layer vertically beneath the tread central part comprising at least one central undulation, with a radial amplitude A at least equal to 1 mm, the central undulation of the radially outermost crown layer being such that a portion of the radially outer surface of the crown layer of the central undulation is radially on an outside of points of the radially outermost crown layer vertically beneath a face of a bottom of the circumferential groove closest to the central undulation;
• two beads intended to come into contact with a rim and two sidewalls connecting the crown to the beads, each bead comprising at least one bead wire comprising circumferential metal reinforcing elements;
• and
• a carcass layer, radially on an inside of the crown and connecting the two beads, the carcass layer comprising textile reinforcing elements coated in an elastomeric material, which are parallel to one another and make, with a radial direction of the tire, an angle of which an absolute value is at most equal to 15°,
• wherein at least one bead comprises a radial reinforcing element comprising textile reinforcing elements coated in an elastomeric material, which are parallel to one another and make, with the radial direction of the tire, an angle of which an absolute value is at most equal to 15°, in the at least one bead a radially innermost point of the radial reinforcing element being at a radial distance at most equal to 20 mm from a radially innermost point of the bead wire, and in the at least one bead a point of the radial reinforcing element being radially on an outside of, and at a radial distance at least equal to 40 mm from, the radially innermost point of the bead wire, and
• wherein an axial distance between the radial reinforcing element and an axially innermost carcass layer is at least equal to 1 mm and at most equal to 12 mm at the point of the radial reinforcing element that is situated 30 mm from the radially innermost point of the bead wire.