tire

The tire design addresses the trade-off between rim shift resistance and compatibility by optimizing geometric relationships in the bead portion, resulting in improved rim fitting and reduced air resistance.

JP2026122734APending Publication Date: 2026-07-29THE YOKOHAMA RUBBER CO LTD
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Patent Information

Authority / Receiving Office
JP · JP
Patent Type
Applications
Current Assignee / Owner
THE YOKOHAMA RUBBER CO LTD
Filing Date
2025-01-16
Publication Date
2026-07-29

AI Technical Summary

Technical Problem

Existing tires face a trade-off between rim shift resistance and rim compatibility, where improving one characteristic often compromises the other, leading to issues with air resistance and uniform mounting on the rim.

Method used

A tire design with specific geometric relationships between the bead portion components, including heel width, heel height, and curvature radii, along with defined angles, ensures optimal rim fitting and resistance to slippage while maintaining compatibility.

Benefits of technology

The tire design achieves improved rim fitting and rim shift resistance, reducing air resistance and ensuring uniform mounting, thus enhancing overall performance and reducing assembly time.

✦ Generated by Eureka AI based on patent content.

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Abstract

To provide a tire that suppresses a decrease in rim assembly performance while offering excellent rim slip resistance and rim fitting performance. [Solution] The tire 10 is equipped with a pair of bead portions 12. The bead portion 12 has a base surface 32, a back surface 34, and a heel surface 36 connecting the base surface 32 and the back surface 34. When the length of the heel surface 36 in the tire width direction W is the heel width length v, the length in the tire diameter direction R is the heel height h, the angle between a virtual extension line L1 extending outward in the tire width direction W of the base surface 32 and a virtual extension line L3 extending in the tire diameter direction of the back surface 34 is the base angle α [rad], and in a tire meridional cross-section view, the radius of curvature of the first connecting portion 38 connecting the back surface 34 and the heel surface 36 is R1, and the radius of curvature of the second connecting portion 40 connecting the base surface 32 and the heel surface 36 is R2, the condition 0.07 ≤ (R2 × v) / (R1 × h) × 1 / α ≤ 0.58 is satisfied.
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Description

Technical Field

[0001] The present invention relates to a tire.

Background Art

[0002] A tire is mounted on a wheel by fitting a bead portion provided with a bead core into a rim. The rim compatibility, which is the ease of incorporating the tire into the rim, is affected by the configuration of the bead portion. For example, Patent Document 1 discloses a tire in which an inflated tire is mounted on an applicable rim, and in a reference state with no load and an internal pressure of atmospheric pressure, the back surface portion is disposed on an inner surface facing the inner side in the tire width direction at the rim flange portion, and a flat surface portion extending linearly along the tire radial direction in the reference state is formed at a connection portion between the back surface portion and the heel portion.

Prior Art Documents

Patent Documents

[0003]

Patent Document 1

Summary of the Invention

Problems to be Solved by the Invention

[0004] Rim compatibility and rim shift resistance, which is the difficulty of displacement between the tire and the rim after being mounted on the rim, are contradictory characteristics. That is, when the rim shift resistance is improved, the rim compatibility tends to decrease.

[0005] Further, the tire is preferably mounted uniformly in the tire circumferential direction along the rim. A tire having excellent rim fitting properties like this may be able to reduce the air resistance generated around the tire during rolling.

[0006] An object of the present invention is to provide a tire that is excellent in rim shift resistance and rim fitting properties while suppressing a decrease in rim compatibility.

Means for Solving the Problems

[0007] A tire according to one aspect of the present invention is A tire having a pair of bead sections and being mounted on a regular rim, The bead portion is, The base surface of the aforementioned regular rim facing the bead seat, The rear surface of the aforementioned regular rim facing the flange, It has a heel surface that connects the base surface and the back surface, The length of the heel surface in the tire width direction is the heel width length v, and the length in the tire diameter direction is the heel height h. The angle between the virtual extension line extending outward in the tire width direction of the base surface and the virtual extension line extending in the tire diameter direction of the back surface is called the base angle α [rad]. In a meridional cross-sectional view of the tire, if the radius of curvature of the first connecting portion connecting the back surface and the heel surface is R1, and the radius of curvature of the second connecting portion connecting the base surface and the heel surface is R2, The following equation (1) is satisfied.

[0008] 0.07 ≤ (R² × v) / (R¹ × h) × 1 / α ≤ 0.58 ···(1) [Effects of the Invention]

[0009] According to the present invention, it is possible to obtain a tire that has excellent resistance to rim slippage and rim fitting while suppressing a decrease in rim assembly performance. [Brief explanation of the drawing]

[0010] [Figure 1] This is an enlarged end view of the bead portion of the tire according to this embodiment. [Figure 2] This is an enlarged view of part II in Figure 1. [Modes for carrying out the invention]

[0011] Embodiments of the present invention relate to the following aspects.

[0012] [Aspect 1] A tire having a pair of bead portions and incorporated into a regular rim, where the bead portion has a base surface facing the bead seat of the regular rim, a back surface facing the flange of the regular rim, and a heel surface connecting the base surface and the back surface, where the length of the heel surface in the tire width direction is the heel width length v, the length in the tire radial direction is the heel height h, the angle formed by a virtual extension line extending outward in the tire width direction of the base surface and a virtual extension line extending in the tire radial direction of the back surface is the base angle α [rad], in a tire meridian cross-sectional view, when the radius of curvature of the first connecting portion connecting the back surface and the heel surface is R1 and the radius of curvature of the second connecting portion connecting the base surface and the heel surface is R2, a tire that satisfies the following formula (1). 0.07 ≦ (R2 × v) / (R1 × h) × 1 / α ≦ 0.58 ··· (1) [Aspect 2] The tire according to Aspect 1, where the heel width length v and the heel height h satisfy the relationship v < h. [Aspect 3] When the bead width BW, which is the distance in the tire width direction from the bead toe to the back surface, is considered, the bead width BW is 14 mm or more and 18 mm or less, the heel height h is 7.5 mm or less, and the heel width length v and the bead width BW satisfy the following formula (2). The tire according to Aspect 1 or 2. v / BW ≦ 0.4 ··· (2) [Aspect 4] The heel surface has a convex curved surface with a radius of curvature of 10 mm or more in a tire meridian cross-sectional view, The radius of curvature R1 of the first connecting portion and the radius of curvature R2 of the second connecting portion satisfy the following formula (3). The tire according to any one of Aspects 1 to 3. 1 < R1 / R2 ≦ 3 ··· (3) [Aspect 5] The base surface has a first base surface connected to the inner edge in the tire width direction of the heel surface, and a second base surface connected to the inner edge on the inner side in the tire width direction of the first base surface via a third connecting portion. At least one of the first base surface and the second base surface is linear in a tire meridian cross-sectional view. The tire according to aspect 3, wherein a distance u in the tire width direction from the third connecting portion to the back surface is 50% or more of the bead width BW. [Aspect 6] The first base surface and the second base surface are linear in a tire meridian cross-sectional view. The tire according to aspect 5, wherein an angle β formed by the first base surface and the tire width direction is 5 degrees or more and 10 degrees or less, and an angle γ formed by the second base surface and the tire width direction is greater than the angle β and 15 degrees or less. [Aspect 7] The tire according to aspect 4, wherein a vent mark is provided on the heel surface.

[0013] (Definition) The tire radial direction means a direction orthogonal to the tire rotation axis. The inner side in the tire radial direction means the side facing the tire rotation axis in the tire radial direction, and the outer side in the tire radial direction means the side away from the tire rotation axis in the tire radial direction. The tire circumferential direction means a circumferential direction with the tire rotation axis as the central axis. The tire width direction means a direction parallel to the tire rotation axis. The inner side in the tire width direction means the side facing the tire equatorial plane (tire equator line) in the tire width direction, and the outer side in the tire width direction means the side away from the tire equatorial plane in the tire width direction. The tire equatorial plane means a plane orthogonal to the tire rotation axis and passing through the center of the tire width of the tire. "Along" a certain reference includes along a direction within a range of less than ±20°, less than ±10°, or less than ±5° with respect to a certain reference. "Center" includes a midpoint where the distances from two certain points are equal, and a range of ±10% of the distance between the two certain points from the midpoint. A "regular rim" refers to an "applicable rim" as defined by JATMA, a "Design Rim" as defined by TRA, or a "Measuring Rim" as defined by ETRTO. Standard internal pressure refers to the "maximum air pressure" specified by JATMA, the maximum value listed in "TIRE LOAD LIMITS AT VARIOUS COLD INFLATION PRESSURES" specified by TRA, or the "INFLATION PRESSURES" specified by ETRTO. Standard load refers to the "maximum load capacity" specified by JATMA, the maximum value listed in "TIRE LOAD LIMITS AT VARIOUS COLD INFLATION PRESSURES" specified by TRA, or the "LOAD CAPACITY" specified by ETRTO.

[0014] Figure 1 shows the bead portion 12 on one side in the tire width direction W relative to the tire equatorial plane, in a meridional cross-sectional view of the tire 10 according to this embodiment. Note that the figure shows the tire portion before it is mounted on the rim and in an unloaded state.

[0015] The tire 10 is mounted on a standard rim 14 shown in Figure 1. The radial and width directions of the standard rim 14 are the same as the tire's radial direction R and tire's width direction W. The standard rim 14 comprises a bead seat 16, a flange 18, and a hump 20. The bead seat 16 extends in the tire's width direction W. The flange 18 extends from the outside of the bead seat 16 in the tire's width direction W to the outside in the tire's radial direction R. The hump 20 is provided on the inside of the bead seat 16 in the tire's width direction W and protrudes outward in the tire's radial direction R. The hump 20 has a convex curved surface in a meridional cross-sectional view of the tire.

[0016] The bead seat 16 has a base-facing surface 22 on the outer surface in the tire radial direction R between the flange 18 and the hump 20. In a meridional cross-section view of the tire, the base-facing surface 22 is linearly inclined outward in the tire radial direction R toward the outer surface in the tire width direction W.

[0017] The flange 18 has a side surface 24 on the inner side in the tire width direction W, and a circumferential surface 26 connected to the outer side of the side surface 24 in the tire radial direction R. The side surface 24 extends in a direction along the tire radial direction R in a view of the tire meridional section. The circumferential surface 26 is a convex curved surface in a view of the tire meridional section, and extends outward in the tire width direction W toward the outer side in the tire radial direction R.

[0018] The outer end of the base facing surface 22 in the tire width direction W and the inner end of the side surface 24 in the tire radial direction R are connected via a smooth corner surface 27.

[0019] The tire 10, although not shown in its entirety, has a meridional cross-sectional shape similar to that of a conventional pneumatic tire. That is, the tire 10 of this embodiment has a tread portion, although not shown. The tire 10 further comprises a sidewall portion (not shown) and a bead portion 12. The tire 10 has, for example, a carcass layer 30 that extends from the tread portion to the bead portions 12 on both sides in a meridional cross-sectional view of the tire and is wound around a pair of bead cores 28, and on the radial side R of the carcass layer 30, it has a belt layer and, optionally, a belt cover layer, although not shown.

[0020] The bead portion 12 is the innermost part of the tire 10 in the radial direction R that contacts the regular rim 14. The bead portion 12 shown in the figure is provided with a bead core 28, which is a ring-shaped reinforcing material made of bundled piano wire or the like. The area around the bead core 28 is composed of various rubber layers.

[0021] The bead portion 12 has a base surface 32, a back surface 34, and a heel surface 36 connecting the base surface 32 and the back surface 34. The base surface 32 faces the bead seat 16 of the regular rim 14. The base surface 32 is the inner edge on the inner side of the tire radial direction R of the tire 10 and extends in a direction along the tire width direction W. The back surface 34 faces the flange 18 of the regular rim 14. The back surface 34 is located on the outer side of the base surface 32 in the tire width direction W. The back surface 34 and the heel surface 36 are connected via a first connecting portion 38. The first connecting portion 38 is a convex curved surface that protrudes outward from the bead portion 12. Let the radius of curvature of the first connecting portion 38 be R1. The heel surface 36 and the base surface 32 are connected via a second connecting portion 40. The second connecting portion 40 is a convex curved surface that protrudes outward from the bead portion 12. Let the radius of curvature of the second connecting portion 40 be R2.

[0022] The base surface 32 is the surface of the bead portion 12 in the region from the bead toe 33, which is the innermost end in the tire width direction W, to the second connecting portion 40. The base surface 32 has a shape that is recessed outward in the tire radial direction R. The base surface 32 has a first base surface 42 connected to the heel surface 36 via the second connecting portion 40, and a second base surface 44 connected to the inner end of the first base surface 42 in the tire width direction W. The first base surface 42 and the second base surface 44 are connected via a third connecting portion 46. The first base surface 42 and the second base surface 44 are straight lines in a tire meridional cross-sectional view. The first base surface 42 and the second base surface 44 have different angles with respect to the tire width direction. The base surface 32 is bent in a direction that is recessed outward in the tire radial direction R, starting from the third connecting portion 46.

[0023] The rear surface 34 extends outward in the tire radial direction R. The inner end of the rear surface 34 in the tire radial direction R is connected to the heel surface 36. The outer end of the rear surface 34 in the tire radial direction R is connected to the concave surface 48. In a view of the tire meridional section, the concave surface 48 extends outward in the tire width direction W toward the outer end of the tire radial direction R.

[0024] The heel surface 36 is formed such that, in a meridional cross-section view of the tire, the inner diameter of the heel surface 36 gradually increases toward the outside in the tire width direction W. The heel surface 36 has a convex curved surface that protrudes outward from the bead portion 12. The heel surface 36 is composed of a circular arc centered at RH. In a meridional cross-section view of the tire, the length of the heel surface 36 in the tire width direction W is denoted as the heel width length v, and the length of the tire radial direction R is denoted as the heel height h.

[0025] The heel width length v is the length in the tire width direction W from the back surface 34 to the second connecting portion 40. More specifically, the heel width length v is the length in the tire width direction W from the back surface 34 to the first intersection point P1, which is the intersection point of the first virtual extension line L1 extending outward in the tire width direction W of the base surface 32 and the second virtual extension line L2, which is the extension of the arc constituting the heel surface 36. The first virtual extension line L1 is an extension line extending outward in the tire width direction W of the first base surface 42 connected to the heel surface 36.

[0026] The heel height h is the length of the tire radial R from the second intersection point P2, which is the intersection of the first virtual extension line L1 and the third virtual extension line L3 extending in the tire radial direction R on the back surface 34, to the first connecting section 38. More specifically, the heel height h is the length of the tire radial R from the second intersection point P2 to the third intersection point P3, which is the intersection of the second virtual extension line L2 and the third virtual extension line L3.

[0027] The angle between the first base surface 42 and the back surface 34 is defined as the base angle α [rad]. The base angle α is the angle between the first virtual extension line L1 and the third virtual extension line L3. The base angle α is the angle between the first virtual extension line L1 and the third virtual extension line L3 on the inner side in the tire width direction relative to the third virtual extension line L3.

[0028] An example of the procedure for mounting the tire 10 onto the regular rim 14 is described below. First, the bead portion 12 is elastically deformed toward the inside in the tire width direction W, and the regular rim 14 is positioned with the distance between the pair of bead portions 12 in the tire width direction reduced. Next, the bead portion 12 is elastically returned to the outside in the tire width direction W while sliding on the bead seat 16. In this process, the bead portion 12 moves toward the outside in the tire width direction W while crossing over the hump 20. In this way, the bead portion 12 is positioned between the flange 18 and the hump 20. The base surface 32 is supported by the base opposing surface 22, the back surface 34 is supported by the side surface 24, and the concave curved surface 48 is supported by the circumferential surface 26.

[0029] In this embodiment, the radius of curvature R1, R2, heel width length v, heel height h, and base angle α [rad] of the tire 10 satisfy the following formula (1).

[0030] 0.07 ≤ (R² × v) / (R¹ × h) × 1 / α ≤ 0.58 ···(1)

[0031] In the above equation (1), (R2 × v) contributes to rim slip resistance. That is, the smaller the radius of curvature R2 and heel width length v of the second connecting portion 40, the greater the contact area between the bead portion 12 after rim assembly and the regular rim 14, thus improving rim slip resistance.

[0032] In the above equation (1), (R1 × h) contributes to rim assembly. That is, the larger the radius of curvature R1 and heel height h of the first connecting portion 38, the more the heel surface 36 contacts the rim and the easier it is to overcome the hump 20. Therefore, the bead portion 12 can easily overcome the hump 20 during rim assembly, improving rim assembly.

[0033] The base angle α contributes to both rim assembly and rim slip resistance. Specifically, a larger base angle α increases the contact area between the base surface 32 and the regular rim 14, thus improving rim slip resistance. On the other hand, a smaller base angle α reduces the resistance when the bead portion 12 crosses the hump 20 during rim assembly, thus improving rim assembly.

[0034] By satisfying the above formula (1), the tire 10 according to the present embodiment allows the bead portion 12 to easily overcome the hump 20 of the normal rim 14, so that a decrease in rim fit is suppressed, and the adhesion between the bead portion 12 and the normal rim 14 is improved, thus improving the rim offset resistance.

[0035] Furthermore, since the tire 10 according to the present embodiment suppresses a decrease in rim fit, deformation of the bead portion 12 during rim assembly is suppressed. As a result, the tire 10 is uniformly mounted along the normal rim 14 in the tire circumferential direction, so that the rim fitting property is excellent. Therefore, the tire 10 combines excellent rim fitting property and rim offset resistance, making it difficult for rim offset to occur during rolling. Thus, the state of being uniformly mounted along the normal rim 14 in the tire circumferential direction is maintained even during rolling, suppressing air turbulence around the tire and reducing air resistance.

[0036] It is preferable that the heel width length v and the heel height h satisfy the relationship v < h. The larger the heel height h, the less resistance there is when the bead portion 12 overcomes the hump 20, improving the rim fit. The smaller the heel width length v, the larger the contact area with the normal rim 14, improving the rim offset resistance. Therefore, by satisfying the relationship v < h, the tire 10 can improve the rim offset resistance while suppressing a decrease in rim fit.

[0037] ​​​​​​​​​By having a heel height h of 7.5 mm or less, the back surface 34 makes more reliable contact with the side surface 24 of the flange 18, thereby improving rim fitting while suppressing a decrease in rim assembly performance. By having the heel width length v and bead width BW satisfy the above formula (2), the base surface 32 makes more reliable contact with the regular rim 14, thereby improving rim slip resistance.

[0040] The radius of curvature of the convex curved surface constituting the heel surface 36 is preferably 10 mm or more, and the radius of curvature R1 of the first connecting portion 38 and the radius of curvature R2 of the second connecting portion 40 preferably satisfy the following equation (3).

[0041] 1 <R1 / R2≦3···(3)

[0042] A larger radius of curvature R2 makes it easier for the bead portion 12 to overcome the hump 20 of the regular rim 14, while a smaller R1 ensures sufficient contact area between the bead portion 12 and the regular rim 14, thus maintaining a balance between rim assembly performance and rim slip resistance.

[0043] The base surface 32 has a linear first base surface 42 and a second base surface 44 in a meridional cross-sectional view of the tire, and is bent outward in the radial direction of the tire starting from the third connecting portion 46. Preferably, the distance u in the tire width direction W from the third connecting portion 46 to the back surface 34 is 50% or more of the bead width BW. By having the first base surface 42 and the second base surface 44, the contact pressure from the bead toe 33 to the regular rim 14 side is increased, and the resistance to rim slippage can be improved. Because the distance u is 50% or more of the bead width BW, the bead portion 12 is more likely to conform to the shape of the bead seat 16, so a decrease in rim assembly performance can be suppressed.

[0044] The angle β between the first base surface 42 and the tire width direction W is preferably 5 degrees or more and 10 degrees or less, and the angle γ between the second base surface 44 and the tire width direction W is preferably greater than angle β and 15 degrees or less. By having angles β and γ within the above range, the bead portion 12 can be positioned more appropriately on the regular rim 14.

[0045] Preferably, the tire 10 has vent marks 50 on the heel surface 36, as shown in Figure 2. During the vulcanization molding process, the occurrence of chipping on the tire surface is suppressed by releasing gas between the mold surface and the tire surface through vent holes provided on the molding surface. As the gas is released, rubber flows into the vent holes, forming vent marks on the tire surface after vulcanization molding. In this embodiment, if vent holes are formed on the molded surface (not shown) corresponding to the heel surface 36, gas can be efficiently discharged from the vent holes during the vulcanization process, thereby suppressing the occurrence of chipping on the surface of the bead portion 12. As a result, the tire 10 according to this embodiment may have vent marks 50 formed on the heel surface 36. Preferably, the vent marks 50 are provided in the central portion when the heel surface 36 is evenly divided into three sections in a meridional cross-sectional view of the tire.

[0046] (modified version) The present invention is not limited to the embodiments described above and can be modified as appropriate within the scope of the spirit of the invention. For example, in the above embodiments, the heel surface was described as having a convex curved surface that protrudes outward, but the present invention is not limited to this. That is, the heel surface may be straight in a meridional cross-sectional view of the tire.

[0047] In the above embodiment, the base surface was described as having a shape that is recessed outward in the radial direction of the tire, but the present invention is not limited to this. For example, the base surface may be straight in a meridional cross-section of the tire, or it may be a single convex curved surface that is convex inward in the radial direction of the tire.

[0048] Furthermore, in the above embodiment, the base surface has a first base surface and a second base surface connected to the inner edge of the first base surface on the inner side in the tire width direction, and the first and second base surfaces are described as being linear in a tire meridional section view, but the present invention is not limited to this. For example, the base surface may be a convex curved surface in which the first base surface is linear and the second base surface is convex toward the inner side in the tire radial direction in a tire meridional section view. Alternatively, the base surface may be a convex curved surface in which the first base surface is convex toward the inner side in the tire radial direction in a tire meridional section view, and the second base surface is linear. Moreover, the base surface may have three or more different surfaces. When the first base surface is a convex curved surface, the first virtual extension line L1 is a tangent to the first base surface passing through P1.

[0049] In the above embodiment, the base surface was described as being bent in a direction that recesses outward in the tire radial direction, starting from the third connecting portion. However, the present invention is not limited to this, and the base surface may be bent in a direction that protrudes inward in the tire radial direction. [Examples]

[0050] (sample) A test tire with tire size 275 / 35R19 was manufactured. The conditions for the tires in Examples 1-9 and Reference Examples 1-2 are as shown in Table 1 below.

[0051] (Rim assembly type) The time required for a worker to mount a test tire onto a rim with a size of 19 x 9.5J and apply an internal pressure of 230 kPa was measured. The reciprocal of the measured time was expressed as an index, with the conventional example described later set to 100. A larger index value indicates a shorter required time and superior rim mounting performance. (Rim slip resistance) Each test tire was mounted on a rim with a size of 19 x 9.5J and subjected to an internal pressure of 230 kPa. The fabricated tires were mounted on a typical test vehicle and driven around a test course for three laps, and the amount of slippage between the rim and the tire was measured. The evaluation results were expressed as an index using the reciprocal of the measured value, with Comparative Example 1 set to 100. A higher index value indicates better rim slip resistance. (Low air resistance performance) Each test tire was mounted on a rim with a size of 19 x 9.5J and subjected to an internal pressure of 230 kPa. The manufactured tires were mounted on a typical test vehicle, and the vehicle speed during coasting was measured in accordance with JIS D1012. The rolling resistance was calculated using a multi-point regression method. The evaluation results are shown as an index with the conventional example set to 100. A higher index indicates less air resistance and superior low-air-resistance performance.

[0052] [Table 1] [Explanation of Symbols]

[0053] 10 tires 12 Bead section 14 Regular Rims 16 Bead Sheets 18 flange 20 Hump 22 Base opposing surface 24 Side view 26 Peripheral surface 27 Corner surface 28 Bead Core 30 Carcass Layer 32 Base surface 33 Bead Toe 34 Back 36 Heel surface 38 1st connection part 40 2nd connection part 42. First base surface 44. Second Base Surface 46 Third connection part 48 Concave curved surface 50 Vent marks L1 First virtual extension line L2 Second Virtual Extension Line L3 Third Virtual Extension Line P1 1st intersection P2 2nd intersection P3 3rd intersection R (Rear) Tire Radial Direction W (Tire width direction)

Claims

1. A tire having a pair of bead sections and being mounted on a regular rim, The bead portion is, The base surface of the aforementioned regular rim facing the bead seat, The rear surface of the aforementioned regular rim facing the flange, It has a heel surface that connects the base surface and the back surface, The length of the heel surface in the tire width direction is the heel width length v, and the length in the tire diameter direction is the heel height h. The angle between the virtual extension line extending outward in the tire width direction of the base surface and the virtual extension line extending in the tire diameter direction of the back surface is called the base angle α [rad]. In a meridional cross-sectional view of the tire, if the radius of curvature of the first connecting portion connecting the back surface and the heel surface is R1, and the radius of curvature of the second connecting portion connecting the base surface and the heel surface is R2, A tire that satisfies the following equation (1). 0.07 ≤ (R² × v) / (R¹ × h) × 1 / α ≤ 0.58 ... (1)

2. The tire according to claim 1, wherein the heel width length v and the heel height h satisfy the relationship v < h.

3. The tire according to claim 1 or 2, wherein the bead width BW is the distance in the tire width direction from the bead toe to the rear, the bead width BW is 14 mm or more and 18 mm or less, the heel height h is 7.5 mm or less, and the heel width length v and the bead width BW satisfy the following formula (2). v / BW≦0.4...(2)

4. The heel surface has a convex curved surface with a radius of curvature of 10 mm or more in a meridional cross-sectional view of the tire. The tire according to claim 1 or 2, wherein the radius of curvature R1 of the first connecting portion and the radius of curvature R2 of the second connecting portion satisfy the following formula (3). 1<R1 / R2≦3...(3)

5. The base surface comprises a first base surface connected to the inner edge of the heel surface in the tire width direction, and a second base surface connected to the inner edge of the first base surface on the inner side in the tire width direction via a third connecting portion. At least one of the first base surface and the second base surface is linear in the meridional cross-section of the tire, The tire according to claim 3, wherein the distance u in the tire width direction from the third connecting portion to the rear surface is 50% or more of the bead width BW.

6. The first base surface and the second base surface are straight in the meridional cross-section of the tire, The tire according to claim 5, wherein the angle β between the first base surface and the tire width direction is 5 degrees or more and 10 degrees or less, and the angle γ between the second base surface and the tire width direction is greater than angle β and 15 degrees or less.

7. The tire according to claim 4, wherein a vent mark is provided on the heel surface.