The efficiency of sequential linear programming technique in optimizing nonlinear constrained structural optimization problems is studied in this paper considering tripod truss structure as a case study. The axial force in each of the members of the truss due to payload is estimated using vector mechanics. The problem is formulated for minimum weight considering localized buckling stress, Euler buckling stress and direct compressive stress as constraints. The structure is optimized considering mean diameter and payload height as design variables. The weight of the truss got reduced by 20.51%.The optimum values of design variables obtained are compared with the values obtained using graphical method. The optimum values of design variables obtained using both the approaches are in reasonable agreement with a mere 5.17% variation.