Problem 4: Design a minimum cost compression spring with the following design considerations: • Design variables: 0.0645

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Problem 4 Design A Minimum Cost Compression Spring With The Following Design Considerations Design Variables 0 0645 1 (134.32 KiB) Viewed 53 times

Problem 4: Design a minimum cost compression spring with the following design considerations: • Design variables: 0.0645d<0.3 in and 0.35D33.0 in Material: music wire A 228, E=29 Mpsi, G=11.5 Mpsi, Ssy=35 ksi Load at solid length is F=30 lbf. • Deflection at solid length is 3 in • Solid height cannot exceed 2 in Free length should be less than 6 in. Design Considerations: • 4<C<12 • , 3<N<15 1.5<ns 32 (a) Formulate the problem. Specify the design variables, x, the objective function, f(x) and equality and inequalities constraints. (b) Use MATLAB to plot all constraints and objective function contours and find the design variables, x*, and the minimum cost, f(x*), at the solution. 9