In recent years, accidents involving air-supported membrane coal storage structures have frequently occurred under extreme wind and snow conditions. In practical engineering, such coal storage structures are required to withstand combined loads, posing higher demands on form-finding and load analysis. Form-finding analysis was conducted and its reliability was verified using user-defined programs in the APDL module of ANSYS. The fluid-structure interaction between the membrane surface and the airflow, as well as the fluctuation of wind loads on air-supported membrane coal storage structures, were considered. CFD(computational fluid dynamics) analysis was performed on an engineering example to calculate surface wind pressure and wind-induced vibration coefficients. Nine load combinations were designed based on the Code for Design of Building Structures and resulted in 75 loading conditions. These conditions were used to verify the maximum membrane stress and membrane displacement. The results indicate that the structure meets the requirements of the code. Coupling effects occur under combined loads, resulting in nonlinear responses. The failure mode is likely to be insufficient strength rather than excessive displacement. During the design of air-supported membrane structures, the shape and size of the air membrane, as well as the wind direction angle, must be considered in design verification.