Abstract:
Based on energy analysis method, the calculation formula of lateral buckling critical load of the leaning-type arch ribs with the catenary arch axis is derived. Compared with the results obtained from FEM, the analytical solution formula presented is verified in this paper. The applicability of the lateral and radial mechanical models of transverse brace between the main arch rib and stable arch rib proposed are validated. Furthermore, the lateral buckling critical load under circular arch axis and catenary are compared, while the quantity relationship and the applicable condition that replacing the lateral buckling critical load of catenary arch with the circular arch are analyzed. It is shown that the line-type of arch axis has a certain extent impact on the lateral buckling critical load of the leaning-type arch ribs. When the incline angle of stable ribs is small, the difference of the lateral buckling critical load between the catenary arch rib system and circular arch rib system is less than 5%. The error induced by the lateral buckling critical load of circular arch rib system replacing that of the catenary arch rib system will be less than 10% when the rise-span ratios are small enough. With the increasing of rise-span ratios, the differences will increase and the replacement is not feasible.