A storage rack having specially configured wedging connector assemblies secured to the ends of horizontal load-carrying beams that fit onto upright posts to detachably connect and wedgingly secure the beams to the posts. In the preferred form, each post has a recessed front wall that defines a plurality of finger-receiving openings. Each of the openings has at least one inclined wedging surface that provides tighter engagement of the connector assembly at the end of each load-carrying beam with its associated upright post in response to the downward force exerted by the beam and its load. In order to minimize longitudinal and lateral shifting of the beams under load or upon accidental forklift impact, each of the wedging connector assemblies has a plurality of hook-shaped fingers with inclined camming portions that cammingly engage and securely wedge against the wedging surfaces of the posts.