Optimization of cross section of mobile crane boom using lagrange multiplier's method

This paper discusses the optimization of cross section of telescopic boom of mobile cranes. The extruded section is taken into consideration for the optimization problem. The problem has been solved using Lagrange Multipliers method. The area of cross section of the boom has been taken as the objective function, so as to minimize the mass, whereas the constraint function has been taken as a general function of hardness and stability. The above parameters allow us to form a mathematical model for numerical analysis and thus obtain the optimum dimensions for the cross section.