(3) 20points Design a planar compliant, parallel-guiding mechanism with two identical flexible beams for a target horizontal stiffness of 4N/mm. The entire mechanism must be within a foot print of 120mm by 120mm area. The coupler link is 100mm long and 20mm wide. The out-of-plane thickness must be within 1-4mm. The material must be selected from the table below. a. Use the PRB model to determine the material and dimensions of the mechanism b. Determine the maximum possible horizontal deflection without failure. Assume the only load is applied a horizontal input force P. C. Use Solidworks FE simulation to verify your results. Submit a plot of FEA simulation showing the stiffness and another simulation showing the maximum load scenario. Shuttle, coupler, or connecting rod Input force, P 100 Material Steel (1010 hot rolled) 20 Steel (4140 Q&T@400) A Flexible segments- Thickness into page=2 Aluminum (1100 annealed) Aluminum (7075 heat treated) Titanium (Ti-35A annealed) Titanium (Ti-13 heat treated) Beryllium copper (CA170) Polycrystalline silicon Polyethylene (HDPE) Nylon (type 66) Polypropylene