Four helical compression springs are being designed to support a 200 lbf load. The springs will be placed at each of four corners, and will share the load equally. The springs will each be compressed 1 inch from the free length. The solid height cannot exceed 2 inches, and the free length cannot exceed 4 inches. Springs will be as wound, and they will be manufactured in volume. Squared and ground ends will be used. Do not specify wire diameters with precision beyond 1/100 of an inch. A static factor of safety of 1.2 will be applied to the solid height of the spring, and a fractional overrun to closure value ( 8 ) of 0.15 will be used to ensure robust linearity. The spring material will be music wire (ASTM A228-51).

Required:
Design the springs, including FOM using MATLAB.