The article aims to find the buckling loads for pinned?rotationally restrained shallow circular arches in terms of rotational end stiffness, geometry and material distribution. loading is a concentrated vertical force placed at crown. A geometrically nonlinear model presented which relates not only axial but also bending moment membrane strain. load-strain relationship established between strai...

A restrained Italian dominating function (RID-function) on a graph G=(V,E) is f:V→{0,1,2} satisfying: (i) f(N(u))≥2 for every vertex u∈V(G) with f(u)=0, where N(u) the set of vertices adjacent to u; (ii) subgraph induced by assigned 0 under f has no isolated vertices. The weight an RID-function sum its value over whole vertices, and domination number minimum G. In this paper, we initiate study ...