Cantilevered displacement sensors with enhanced displacement sensitivity and methods of determining touching forces for multiple touch locations are disclosed. The cantilevered displacement sensors support the touch screen adjacent a touch screen perimeter. A displacement of the touch screen is amplified by a cantilevered member that extends over a proximity sensor. Touching forces at multiple touch locations are determining by performing a fit to the measured displacements based on the touch locations to obtain displacements at all positions of the touchscreen, then relating the displacement of the touch screen at the multiple touch locations to applied distributed loads at the respective multiple touch locations, and then multiplying the applied distributed loads by the corresponding touch-location area.