
Convergence and consistency analyses 165
a function of the coordinate y at a specic value of the coordinate x. As a
result, the vertical distribution of v is expected. These expected behaviours
in the displacements u and v are veried inFigure4.13.
4.3.5.2 Cantilever beam under pure shear
A cantilever beam is loaded under a pure shear, as shown in Figure4.14a.
The displacements u and v are set to zero at the node (0,0) due to the hinge
support. The stresses σ
xx
and σ
xy
are imposed along the boundaries x = 0
and x = L according to
PL xy
I
P
I
D
y
xx xy yy
()
,
24
an
2
2
σ=
−
σ=
−
−
(4.39)
(a)
6
4
2
0
–2
–4
–6
0246
x (mm)
81012
6
4
2
0
–2
–4
–6
0246 ...