The subject invention is directed towards tire components which are comprised of rubber compositions which are comprised of (1) about 2 phr to about 45 phr of a trans-1,4-isoprene-butadiene copolymer which has about 4 weight percent to about 16 weight percent butadiene repeat units and from about 84 weight percent to about 96 weight percent isoprene repeat units, wherein the trans-1,4-isoprene-butadiene copolymer has a Mooney ML 1+4 viscosity which is within the range of about 35 to about 80; and (2) about 55 phr to about 98 phr of at least one other elastomer, preferably a diene based elastomer. The most preferred tire components are those which contain cord reinforcements and require adequate green strength to enhance the tire building and shaping process to maintain cord integrity in the final cured tire.