3D geometric inspection ensures structural quality. Non-rigid structures tend to deform under their weight, presenting challenges in geometric inspection in a free -state. While specialized fixtures with permissible loads can maintain the functional shape of non-rigid structures, setting fixtures up is complex and time-consuming. Here, a fixtureless inspection method is introduced that leverages 3D data acquisition tools and utilizes finite element and optimization techniques to estimate restraining loads and assess the feasibility of slightly deformed non-rigid structures.