A load bearing member (34) for supporting an elevator car (10) has a plurality of tension members (38) that bear the weight and counterweight of the elevator car (10). The plurality of tension members extends along a length. An outer cover (42) envelopes the plurality of tension members and has a first surface and a second surface. The plurality of tension members are sandwiched between the first surface (46) and the second surf ace (48). The first surface is for traction on a sheave (22). The first surface and the second surface define a cross-section (52) transverse to the length of the load bearing member. The cross-section has a first end portion (56), a middle portion (60) and a second end portion (64). The middle portion has a first width (w1) between the first surface and the second surface which is smaller than a second width (w2) between the first surface and the second surface of one of the first end portion and the second end portion.