A lean-to rigging apparatus is described for installation in a shaft, such as an elevator shaft, having a wall and including at least one sill opposite the wall. The rigging apparatus includes a spanning beam, a sill support structure, a wall support member, and a hoist connector. The sill support structure on a first end of the spanning beam is designed to seat against a sill in the in the shaft while the wall support member on a second end of the spanning beam abuts against the opposite shaft wall. The sill support structure is rigidly connected to the spanning beam in a hingeless configuration and can seat against a sill in a plurality of seating positions. These seating positions allow the rigging apparatus to be positioned in a plurality of angles and therefore to be installed in shafts of different dimensions. The hoist connector is configured to allow a connection to a hoist device for hoisting various materials from one level to another within the shaft.