Pneumatic tire

1. A pneumatic tire comprising:

a tread portion extending in a tire circumferential direction and having an annular shape;

a pair of sidewall portions respectively disposed on both sides of the tread portion;

a pair of bead portions each disposed on an inner side in a tire radial direction of the pair of sidewall portions;

at least one carcass layer mounted between the pair of bead portions; and

a plurality of belt layers disposed on an outer circumferential side of the at least one carcass layer in the tread portion,

in a tire meridian cross-section, a carcass line formed by the at least one carcass layer in a region excluding the tread portion when 10% of a regular internal pressure is applied, the carcass line being composed of a curved line S located on a tread portion side and a curved line T located on the bead portion side, the curved line S being formed by connecting a plurality of arcs having different radii of curvature and curved so as to project toward an outer side in a tire width direction as a whole, and the curved line T being curved so as to project toward an inner side in the tire width direction,

a radius of curvature R; of the curved line S at an arbitrary point P i on the curved line S and a radius of curvature R i+1 of the curved line S at an adjacent point P i+1 separated by 5 mm from the point P i toward the bead portion side along the carcass line satisfying a relationship of |R i+1 −R i |/|(R i+1 +R i )/2|≤0.25,

at a point Q where the curved line S and the curved line T are connected, an absolute value |θ S −| T | of a difference between an inclination θ S of a line segment connecting the point Q and an adjacent point P S separated by 5 mm from the point Q toward the tread portion side along the curved line S and an inclination θ T of a line segment connecting the point Q and an adjacent point P T separated by 5 mm from the point Q toward the bead portion side along the curved line T satisfying a relationship of |θ S −θ T |≤8°, and

a ratio Hβ/Hα of a radial height Hα from an inner end in the tire radial direction of the curved line T to a maximum outer diameter position of the at least one carcass layer and a radial height Hβ from the inner end in the tire radial direction of the curved line T to a tire maximum width position satisfying a relationship of Hβ/Hα≥0.58.

2. The pneumatic tire according to claim 1 , wherein

when an intersection point of the carcass line and a normal line of the carcass line passing through a belt end portion is a point A and a point on the carcass line at the tire maximum width position is a point β,

a length L of a line segment connecting the point A and the point β and a length K along the carcass line from the point A to the point β satisfy a relationship of (K/L) 3 <1.25.

3. The pneumatic tire according to claim 1 , wherein a ratio R Q /R A of a radius of curvature R Q of the curved line S at the point Q where the curved line S and the curved line T are connected and a radius of curvature R A of the curved line S at an intersection point A of the carcass line and a normal line of the carcass line passing through a belt end portion satisfies a relationship of R Q /R A ≥2.3.

4. The pneumatic tire according to claim 1 , wherein a periphery length U of the curved line T satisfies a relationship of U≤30 mm.

5. The pneumatic tire according to claim 1 , wherein

a bead portion of the pair of bead portions is provided with a bead core having a hexagonal meridional cross-sectional shape, and

when a vertex on a radially innermost side among six vertices of the bead core is defined as a first vertex, remaining vertices are defined as second to sixth vertices counterclockwise from the first vertex, the number of circumferential portions of a bead wire included in a side formed by the first vertex and the second vertex is N 12 , the number of circumferential portions of the bead wire included in a side formed by the second vertex and the third vertex is N 23 , the number of circumferential portions of the bead wire included in a side formed by the third vertex and the fourth vertex is N 34 , the number of circumferential portions of the bead wire included in a side formed by the fourth vertex and the fifth vertex is N 45 , the number of circumferential portions of the bead wire included in a side formed by the fifth vertex and the sixth vertex is N 56 , and the number of circumferential portions of the bead wire included in a side formed by the sixth vertex and the first vertex is N 61 , these numbers satisfy a relationship of 4≤(N 12 −N 45 )+(N 34 −N 61 )+(N 56 −N 23 )≤10.

6. The pneumatic tire according to claim 2 , wherein a ratio R Q /R A of a radius of curvature R Q of the curved line S at the point Q where the curved line S and the curved line T are connected and a radius of curvature R A of the curved line S at an intersection point A of the carcass line and a normal line of the carcass line passing through a belt end portion satisfies a relationship of R Q /R A ≥2.3.

7. The pneumatic tire according to claim 6 , wherein a periphery length U of the curved line T satisfies a relationship of U≤30 mm.

8. The pneumatic tire according to claim 7 , wherein

a bead portion of the pair of bead portions is provided with a bead core having a hexagonal meridional cross-sectional shape, and

when a vertex on a radially innermost side among six vertices of the bead core is defined as a first vertex, remaining vertices are defined as second to sixth vertices counterclockwise from the first vertex, the number of circumferential portions of a bead wire included in a side formed by the first vertex and the second vertex is N 12 , the number of circumferential portions of the bead wire included in a side formed by the second vertex and the third vertex is N 23 , the number of circumferential portions of the bead wire included in a side formed by the third vertex and the fourth vertex is N 34 , the number of circumferential portions of the bead wire included in a side formed by the fourth vertex and the fifth vertex is N 45 , the number of circumferential portions of the bead wire included in a side formed by the fifth vertex and the sixth vertex is N 56 , and the number of circumferential portions of the bead wire included in a side formed by the sixth vertex and the first vertex is N 61 , these numbers satisfy a relationship of 4≤(N 12 −N 45 )+(N 34 −N 61 )+(N 56 −N 23 )≤10.