Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions

Table 1

Neutral axis displacements in direction of cantilever curved beam subjected to unit force in direction at right end of cantilever curved beam [ = /2, = 100, = 0.01, = 0, = 0, = 1].

= 100	= 10	= 1	= 0	=
0	0.00000	0.00000	0.00000	0.00000	0.00000
0.1	0.26284	0.02928	0.00592	0.00333	0.00333
0.2	0.87395	0.09922	0.02175	0.01314	0.01314
0.3	1.75342	0.20141	0.04621	0.02896	0.02896
0.4	2.81779	0.32677	0.07767	0.05000	0.05000
0.5	3.98364	0.46603	0.11427	0.07518	0.07518
0.6	5.17105	0.61000	0.15390	0.10322	0.10322
0.7	6.30683	0.75005	0.19437	0.13263	0.13263
0.8	7.32739	0.87835	0.23344	0.16179	0.16179
0.9	8.18120	0.98824	0.26894	0.18902	0.18902
1.0	8.83071	1.07445	0.29882	0.21264	0.21264

Lin’s result [13].