Four-Node Generalized Conforming Membrane Elements with Drilling DOFs Using Quadrilateral Area Coordinate Methods

Table 6

The normalized results of the tip deflection for MacNeal’s beam.

Elements	Load P			Load M
	Mesh (a)	Mesh (b)	Mesh (c)	Mesh (a)	Mesh (b)	Mesh (c)
Q4	0.093	0.035	0.003	0.093	0.031	0.022
Q6	0.993	0.677	0.106	1.000	0.759	0.093
QM6	0.993	0.623	0.044	1.000	0.722	0.037
QUAD4	0.904	0.080	0.071	—	—	—
P-S	0.993	0.798	0.221	1.000	0.852	0.167
RGD20	0.981	0.625	0.047	—	—	—
AQR8	0.993	0.986	0.977	—	—	—
Q4S	0.993	0.986	0.988	—	—	—
QAC4θ	0.904	0.867	0.906	0.910	0.8804	0.930
QAC4θM	0.993	0.984	0.988	1.000	0.992	0.998
Exact	1.000 (−0.1081)			1.000 (−0.0054)