Optimized architecture of a civil engineering tire

A radial tire for a heavy-duty construction plant vehicle, the tire being adapted to be mounted on a nominal rim having a radius R expressed in inches, the radial tire comprising:

• a tread;
• a carcass reinforcement;
• and
• a crown reinforcement, which is radially inside the tread and radially outside the carcass reinforcement and which comprises a working reinforcement and a hoop reinforcement,
• wherein the working reinforcement comprises at least two working layers, each comprising reinforcing elements that:
• are made of metal,
• are coated in an elastomeric material,
• are parallel to each other and form an angle at least equal to 18° and at most equal to 45° with a circumferential direction of the tire, the reinforcing elements being crossed from one working layer to another working layer, and
• each have a structural elongation, a total elongation at break, and at least one tangent tensile modulus GT, each measured in accordance with the standard ASTM D 2969-04 of 2014,
• wherein the at least two working layers include a smallest axial width working layer, which has an axial width LT in mm and the reinforcing elements of which have a linear density MT in g/m and are disposed in the smallest axial width working layer with a mean pitch PT in mm,
• wherein the hoop reinforcement comprises at least two hooping layers, each comprising reinforcing elements that:
• are made of metal,
• are coated in an elastomeric material,
• are parallel to each other and form with the circumferential direction angles having absolute values at least equal to 5° and at most equal to 16°,
• each have a structural elongation, a total elongation at break, and at least one tangent tensile modulus, each measured in accordance with the standard ASTM D 2969-04 of 2014, and
• have a metal linear density MF in g/m, a tangent modulus GF at 1.5% strain, and are disposed in the hooping layer with a mean pitch PF in mm, each hooping layer having a tangent linear stiffness RF equal to (GF*MF/7.8)/PF,
• wherein each reinforcing element of each hooping layer is extensible, the structural elongation of each reinforcing element of each hooping layer being at most equal to 1% and at least equal to 0.3%, and the tangent linear stiffness RF at 1.5% strain of each reinforcing element of each hooping layer being at least equal to 75 KN/mm and at most equal to 160 KN/mm, and
• wherein the at least two hooping layers include a radially outermost hooping layer, which has an axial width LF and the reinforcing elements of which have a structural elongation AsF, such that the axial width LF is at least equal to LT*[R/110.25+((GT/GF)*(MT/MF)/(PT/PF)+AsF*80-1)/8].