Abstract
The multiple equilibrium solutions of both deep and shallow inextensible arches is investigated through the use of a segmental shooting technique. The original nonlinear boundary value problem governing the large deformations of these arches is solved using a sequence of linear initial value problems which converge iteratively to the required boundary conditions. This method has proved successful in previous studies to analyse these large deformation problems when there is initially only one unknown at the beginning of the arch that must be assumed. Extension of this method to the problem with two initial unknowns is presented here. In either case all equilibrium solutions can be found in a systematic fashion. When there are three initial unkowns the present method is not able to determine the totality of equilibrium shapes for a given problem and loading. However, in this case, it is possible to determine a number of equilibrium shapes using engineering judgement for the values of the initial unknowns.
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