Force and location sensing systems and methods are disclosed. A method comprises bending a L-beam at an initially unknown location on a force-supporting portion of the L-beam, the L-beam substantially having a tension side and a compression side, measuring a first local stress at a first location on the tension side, measuring a second local stress at a second location on the tension side, measuring a third local stress at a third location on the compression side, and measuring a fourth local stress at a fourth location on the compression side. A weight-sensing storage system capable of tracking removed items is disclosed with a product image captured via a camera, a plurality of sensors on an L-beam, a first signal from the plurality of sensors indicating a first state prior to change of the product image, and a second signal indicating lower strain on the L-beam than the first signal.