Stability of pinned-rotationally restrained arches

• Main Author: Kiss László Péter
• Format: Article
• Language: English
• Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2021-01-01
• Series: Theoretical and Applied Mechanics
• Subjects: arch; buckling; stiffness; snap-through
• Online Access: http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842000010K.pdf

The article aims to find the buckling loads for pinned–rotationally restrained shallow circular arches in terms of the rotational end stiffness, geometry and material distribution. The loading is a concentrated vertical force placed at the crown. A geometrically nonlinear model is presented which relates not only the axial force but also the bending moment to the membrane strain. The nonlinear load-strain relationship is established between the strain and load parameters. This equation is then solved and evaluated analytically. It turns out that the stiffness of the end-restraint has, in general, a significant effect on the lowest buckling load. At the same time, some geometries are not affected by this. As the stiffness becomes zero, the arch is pinned-pinned and as the stiffness tends to infinity, the arch behaves as if it were pinned-fixed and has the best load-bearing abilities.