A resilient composite structure for a tire for connecting a first surface and a second surface comprising: a first support element having a first end, a second end, a first side and a second side; a second support element having a first end, a second end, a first side and a second side, said second support element forming an interior angle with said first support element, said interior angle positioned on the first side of said first support element and the first side of said second support element; a first elastomeric joint body connecting said first support element first end and said second support element second end, said first elastomeric joint body positioned on the first side of said first support element and the first side of said second support element; wherein the first support element and second support element are comprised each of one or more elongated reinforcements having a flexural rigidity greater than the elastomer comprising the first elastomeric joint body; a second elastomeric joint body for connecting said first support element second end to said first surface and positioned on said second side of said first support element; and a third elastomeric joint body for connecting said second support element first end to said second surface and positioned on said second side of said second support element; wherein said first support element second end and said second support element first end are otherwise free ends, a reinforcement membrane comprised of a plurality of cords, each cord having a first cord portion and a second cord portion and an elongate middle cord portion between the first cord portion and second cord portion, the reinforcement membrane connecting the first support element and second support element wherein said first cord portion of each cord of the plurality of cords is closer to the center of the first support element elongated reinforcements than the elongate middle cord portion in the thickness direction of the first support element and said second cord portion of each cord of the plurality of cords is closer to the center of the second support element elongated reinforcements than the elongate middle cord portion in the thickness direction of the second support element. a first support element having a first end, a second end, a first side and a second side; a second support element having a first end, a second end, a first side and a second side, said second support element forming an interior angle with said first support element, said interior angle positioned on the first side of said first support element and the first side of said second support element; a first elastomeric joint body connecting said first support element first end and said second support element second end, said first elastomeric joint body positioned on the first side of said first support element and the first side of said second support element; wherein the first support element and second support element are comprised each of one or more elongated reinforcements having a flexural rigidity greater than the elastomer comprising the first elastomeric joint body; a second elastomeric joint body for connecting said first support element second end to said first surface and positioned on said second side of said first support element; and a third elastomeric joint body for connecting said second support element first end to said second surface and positioned on said second side of said second support element; wherein said first support element second end and said second support element first end are otherwise free ends, a reinforcement membrane comprised of a plurality of cords, each cord having a first cord portion and a second cord portion and an elongate middle cord portion between the first cord portion and second cord portion, the reinforcement membrane connecting the first support element and second support element wherein said first cord portion of each cord of the plurality of cords is closer to the center of the first support element elongated reinforcements than the elongate middle cord portion in the thickness direction of the first support element and said second cord portion of each cord of the plurality of cords is closer to the center of the second support element elongated reinforcements than the elongate middle cord portion in the thickness direction of the second support element.