To solve the problem of obtaining accurate hinge point force for fatigue life evaluation of the stick, this paper regards the excavation resistance as a more realistic multi-dimensional space force and combines the virtual displacement principle and D’Alembert principle to obtain the calculation model of the hinge point force of the stick. Using ADAMS and EDEM to establish a co-simulation model, the multi-dimensional resistance of the bucket is obtained for the excavation condition of the ditch end with one side bearing, and the theoretical calculation results and simulated analysis results of the hinge point forces of the stick are obtained respectively. Results show that the lateral excavation resistance and the torque load can not be ignored when the bucket is excavated at the end of the ditch. The average percentage relative error between the theoretical calculation results and the simulation analysis results is 5.19%, which verifies the correctness of the proposed model.