An improved bicycle rear suspension system with a triangular wheel suspension component comprising three members; a planar truss chainstay member with a wide lateral side and a thin vertical side, adapted to be longitudinally and laterally rigid and vertically flexible; a seatstay member with an integrated shock absorbing means adapted to dampen the suspension movement, the shock absorbing means being a long-travel, short-length shock absorber with angular deflection capability; and a seat tube member, arranged in a triangular configuration wherein one, two, or all three junctions between the members are pivotless, thereby eliminating rotating pivot elements and providing a low maintenance requirement, durability, high reliability, low manufacturing costs, progressive springing and damping, a comfortable ride, a compact size, and light weight, while increasing lateral and torsional rigidity and wheel travel, and maintaining the strength and aesthetic appeal of the traditional diamond frame.