A track scale weighs a load on a track. The scale comprises a live rail for supporting the load to be weighed. A pair of load cells spaced longitudinally of the live rail support the live rail. The load cells have sensing means for sensing shear stresses and providing a signal indicative of the load supported by said load cells. Each of the load cells have a projecting portion extending transverse to the live rail and supporting the live rail. A bearing is interposed between the projecting portion of each load cell and said live rail. The bearing is constructed to allow for movement of the live rail relative to the load cells.