Aiming at the calculation of gantry crane track beam under moving loads,based on the local elastic foundation hypothesis proposed by Winkler and the theoretical solution of this hypothesis,this paper completes the calculation and envelope diagrams at once,obtains most unfavorable load combination and position of critical section by using MATLAB program,applies this program to calculate the inter force and deformation of the beam under permanent combination of ultimate limit states,and analyzes the influence of beam-end constraint and beam length on inter force.This program has a certain guiding significance for the understanding of gantry crane track beam mechanical characteristics and calculation of practical engineering problems.