Analysis and optimization of T-cross section of crane hook considered as a curved beam

Abstract

This study presents analysis and optimization of the geometric parameters of T-cross section of crane hook. The reduction of the cross-sectional area of the hook is set as the main objective of this research. The permissible stresses in the crane hook characteristic points at the most critical place of her construction are taken as the limitation functions. Also, in the second part, analysis and optimization of certain geometric constraints are taken. The maximum stresses in characteristic points are calculated according to Winkler-Bach theory, where the construction of the hook is treated as a curved beam. The optimization process is performed by using the five optimization algorithms i.e. by using the generalized reduced gradient method (GRG2) and the evolution algorithm (EA) in the Analysis module (Ms EXCEL software package), as well as the MATLAB software package (fmincon functions within the Optimization Toolbox module) and the genetic algorithm (GA) and by using a particle optimization algorithm (PSO).