48
6.00E+06
5.00E+06
*
S4.00E+06
S* Maximum Stress
3.00E+06 m Minimum Stress
2.00E+06
S1.00E+06
0.00E+00
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Poisson's Ratio, vxy (v_hoop-longitudinal)
Figure 4.13 Verification model parameter study: Poisson's ratio effect on longitudinal
beam stress
4.1.4 Verification Model Results
To verify the model, simulation results are compared to the stress and deflection
theoretical solutions derived in Chapter 2. Since flow velocity is proportional to the drag
force acting on the beam, flow velocity is used to compare models. The simulations are
conducted until the beam reaches failure. A study is done for 5m and 10m tubes. Results
from the 5m long tube are shown in Figure 4.14 which correspond to a constant average
deviation of 3.22% between theoretical and simulation. Figure 4.15 shows similar results
for a 10m tube with a constant average deviation between theoretical and simulation to be
0.567%. These results show that the deflection results between theoretical and simulation
stay below an acceptable 5% deviation. Results also show that the deviation decreases as
tube length increases.
A length study was also performed to see how maximum deflection changed with
length. Simulations are performed up to an approximately 10% deflection:length ratio.