Pressure distribution in sand heaps is affected by a particular arching action during the formation process. The closure of fixed principal axes successfully links arching criterion to capture the phenomenon of central stress minimum in conical sand heaps. However, it is insufficient to explain a negligible stress dip observed in planar sand heaps, which are of practical interest to civil engineers because many earthworks are triangular in shape. This study explains the closure of polarized principal axes and the stress distribution formulation, which was found to be agreeable with experimental data. The direction of major compression along a circle traced about the apex might provide a suitable arching criterion in the 2D space of sand heaps.