Tension equalizing traction sheave assembly for elevator assemblies

Embodiments herein are directed to a traction sheave assembly that includes an actuator, a shaft, at least one meshing gear, a first sheave segment, and a second sheave segment. The shaft includes a first portion and a second portion separated by a collar. At least one spoke extends from an outer surface of the collar. The at least one meshing gear is received by a respective one of the at least one spoke. The first sheave segment has a first sheave receiving gear that engages with the at least one meshing gear. The second sheave segment has a second sheave receiving gear that engages with the at least one meshing gear. The first sheave segment and the second sheave segment rotate independently to have a motion independent from one another when the shaft is rotated to equalize a tension between the suspension members.