The New Robotic Telescope is designed to conduct rapid target follow-up within 30 seconds of an `alert' from survey facilities. To achieve this will require a quick settling time requirement for the mount structure and the mirrors. This means the structure shall be designed to be sufficiently rigid to achieve the mirror position within the `settle time' after a quick slew operation. An optimization analysis using the finite element model is developed to conceptually design the mount structure that meets the mechanical and more importantly the NRT science requirements. The main objective of this study is to determine the required locked rotor resonance frequency (LRF) that provides enough rigidity for the telescope dynamic performance while minimizing the structural mass and cost.