Rajasekaran, S. and Padmanabhan, S. (1989) Equations of Curved Beams. Journal of Engineering Mechanics, 115, 1094-1111. http://dx.doi.org/10.1061/(ASCE)0733-9399(1989)115:5(1094)

has been cited by the following article:

• 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.