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THE MINIMUM WEIGHT PROBLEM FOR LIGHT
METHOD OF SOLUTION
5 other sections not shown
AISI Specification assumed and calculated assumed thickness axial load behavioral constraints bending and axial calculated thickness COMBINED NEGATIVE BENDING compressive bending stress compressive stress computer programs constraint surfaces convex convex function deflection design variables dimensional constraint dimensions direct search feasible domain finite difference gage steel members global minimum point gradient direction GRADIENT SEARCH TECHNIQUE HAT-SHAPED PANEL hypersurface illustrated light gage steel limit linear programming minimum thickness MINIMUM WEIGHT DESIGN nonlinear programming objective function optimization problem panel member pattern move PAUL ALLEN pitch projection matrix required thickness ro ro saddle point search routines section properties shear stresses single member starting point thickness based thickness equal University of Wisconsin WEIGHT CALCULATOR ROUTINE weight function zero