In a transmission chain, interleaved links are articulably connected by connecting pins, each connecting pin comprising two rocker pins arranged to roll on each other. Pin holes in each of at least two overlapping link plates in each interleaved pair of link plates are shaped so that each rocker pin moves with one of the overlapping link plates and is engageable with a bend-blocking surface in the pin hole in the other of the two overlapping link plates when the two overlapping link plates are in a straight part of the chain. The engagement of the rocker pins with the bend-blocking surfaces of the pin holes prevents the links from bending backward beyond their straight condition, i.e., in an outward direction, opposite to the inward direction in which the links bend relative to each other when engaging a sprocket.