Figure 14:
Convergence of predicted maximum deflection
for a hydrofoil beam with number of panels; predicted by different methods.
Figure 13:
Convergence of predicted maximum deflection
for a rectangular beam with number of panels; predicted by different
methods.
We consider a 
``thick'' (high) beam clamped at one edge and
subject to uniform loading on its lower side, as shown
in Figure 13. The predicted results (maximum deflection)
from the different methods and with varying number of total numbers
are shown in Figure 13.
The vertical deflection given from beam theory is:
where h is the ``thickness'' (height) of the beam,
w is the value of the uniformly distributed loading,
and L is the ``length'' (span) of the beam. For the 2-D beam
shown in Figure 13, w=1Mpa, L=5m, and h=1m,
equation (25)
renders 
. This deflection is also shown
in Figure 13 as one solid line. Notice the poor
convergence of the constant panel method, and the gradually
improved convergence when the linear and the quadratic saw-tooth
corrections are included.
