Stability assessment of uniform and non-uniform internally pinned shallow arches

Kiss, László Péter (2025) Stability assessment of uniform and non-uniform internally pinned shallow arches. INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN. ISSN 1569-1713 (In Press)

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Abstract

The article addresses the nonlinear stability problem of internally hinged arches. Formulation for uniform and non-uniform arches are both given. In latter case, the stiffness of the cross-section at the sides of the internal pin can be different through the geometry and material, causing asymmetry. An analytical model is derived as per the Euler-Bernoulli hypothesis with von Kármán nonlinearity accounted. For uniform arches, generally higher internal forces rise in the arch-half, which is closer to the pinned end. The slenderness ratio affects lower arch angles more drastically. With non-uniformity introduced, a less stiff left side affects negatively the buckling load. Extreme cases are also addressed.

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