A robust, stand-alone load cell comprises a block of aligned carbon nanotubes with parallel electrodes on opposing sides of the block and an electrical circuit connected between the electrodes for measuring the electrical resistance of the block. The nanotubes are preferably aligned perpendicular to the electrodes. Carbon nanotube-based load cells may be incorporated into a wafer assembly for characterizing semiconductor processing equipment. Such a wafer assembly includes two parallel wafers with a plurality of carbon nanotube load cells positioned between and attached to both wafers. The load cells are independently electrically connected to a device which monitors and records the resistivity of the load cell. According to further aspects of the invention, each of the load cell's parallel electrodes may be comprised of many small electrodes, where each small electrode on one side of the block has a corresponding small electrode on the opposing side of the block; corresponding pairs of small electrodes are connected in series to form a chain; an electrical circuit, connected to both ends of the chain of opposing pairs of electrodes, is used to measure the electrical resistance of the chain.