TITLE:
In-Plane Elastic Stability of Arches under a Radial Concentrated Load
AUTHORS:
Yongjun Xu, Xiaoming Gui, Bin Zhao, Ruiqi Zhou
KEYWORDS:
In-Plane Elastic Stability, Buckling, Critical Load, Circular Arch, Force Method
JOURNAL NAME:
Engineering,
Vol.6 No.9,
August
14,
2014
ABSTRACT: This paper is
concerned with the in-plane elastic stability of arches subjected to a radial concentrated load. The equilibrium equation for
pin-ended circular arches is established by using energy method, and it is
proved that the axial force is nearly a constant along the circumference of the
circular arches. Based on force method, the equation for the primary eigen function
is derived and solved, and the approximate analytical solution of critical
instability load is obtained. Numerical examples are given and discussed.