A run-flat tire comprising: a tread having a first end and a second end, opposite the first end; an inner liner disposed beneath the tread; a first sidewall region including a first sidewall, and a second sidewall region including a second sidewall, each of the first and second sidewalls axially spaced apart from one another and extending from the respective first and second ends of the tread; a first bead portion and a second bead portion axially spaced apart from one another, each bead portion having a bead core and a bead filler; at least one body ply: having a main body ply portion extending circumferentially about the tire, at least a portion of the main body ply portion disposed between the tread and the inner liner; and having a first turned-up portion and a second turned-up portion, the first turned-up portion looping around the first bead portion and the second turned-up portion looping around the second bead portion; and a pair of sidewall-reinforcing portions each disposed in respective sidewall regions (130, 132) and each having a fabric barrier of parallel, biased cords oriented at a bias angle of between 25 degrees to 65 degrees with respect to an equatorial plane of the run-flat tire, the fabric barrier disposed to divide a standard-sized insert into two substantially equal-sized smaller inserts (140, 142) and the two substantially equal-sized smaller inserts (140, 142) including: a first sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the inner liner; and a second sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the at least one body ply, the fabric barrier disposed directly between and contacting each of the first and the second sidewall-reinforcing inserts and extending not more than an entire length of either of the first and second sidewall-reinforcing inserts. a tread having a first end and a second end, opposite the first end; an inner liner disposed beneath the tread; a first sidewall region including a first sidewall, and a second sidewall region including a second sidewall, each of the first and second sidewalls axially spaced apart from one another and extending from the respective first and second ends of the tread; a first bead portion and a second bead portion axially spaced apart from one another, each bead portion having a bead core and a bead filler; at least one body ply: having a main body ply portion extending circumferentially about the tire, at least a portion of the main body ply portion disposed between the tread and the inner liner; and having a first turned-up portion and a second turned-up portion, the first turned-up portion looping around the first bead portion and the second turned-up portion looping around the second bead portion; and having a main body ply portion extending circumferentially about the tire, at least a portion of the main body ply portion disposed between the tread and the inner liner; and having a first turned-up portion and a second turned-up portion, the first turned-up portion looping around the first bead portion and the second turned-up portion looping around the second bead portion; and a pair of sidewall-reinforcing portions each disposed in respective sidewall regions (130, 132) and each having a fabric barrier of parallel, biased cords oriented at a bias angle of between 25 degrees to 65 degrees with respect to an equatorial plane of the run-flat tire, the fabric barrier disposed to divide a standard-sized insert into two substantially equal-sized smaller inserts (140, 142) and the two substantially equal-sized smaller inserts (140, 142) including: a first sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the inner liner; and a second sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the at least one body ply, the fabric barrier disposed directly between and contacting each of the first and the second sidewall-reinforcing inserts and extending not more than an entire length of either of the first and second sidewall-reinforcing inserts. a first sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the inner liner; and a second sidewall-reinforcing insert disposed within a respective sidewall region (130, 132) between the fabric barrier and the at least one body ply, the fabric barrier disposed directly between and contacting each of the first and the second sidewall-reinforcing inserts and extending not more than an entire length of either of the first and second sidewall-reinforcing inserts.