Circular tube

This example has a cross section of a simple circular shape with radius \(r=10\) m. This cross section geometry can be defined easily by a center and a radius. Material properties are given in Table 14. The layup is defined using the stacking sequence code \([\pm 45_2/0_2/90]_{2s}\). The result is given in Table 16. Complete input files can be found in examples\ex_tube\, including tube.xml, basepoints.dat, baselines.xml, materials.xml, and layups.xml.

_images/examplecircle1.png

Figure 29 Base points, Base lines and Segments of the tube cross section.

_images/examplecircle.png

Figure 30 Meshed cross section viewed in Gmsh.

Table 14 Material properties
Name Type Density \(E_{1}\) \(E_{2}\) \(E_{3}\) \(G_{12}\) \(G_{13}\) \(G_{23}\) \(\nu_{12}\) \(\nu_{13}\) \(\nu_{23}\)
    \(10^3\ \mathrm{kg/m^3}\) \(10^9\ \mathrm{Pa}\) \(10^9\ \mathrm{Pa}\) \(10^9\ \mathrm{Pa}\) \(10^9\ \mathrm{Pa}\) \(10^9\ \mathrm{Pa}\) \(10^9\ \mathrm{Pa}\)      
iso5_4 orthotropic 1.664 10.3 10.3 10.3 8.0 8.0 8.0 0.3 0.3 0.3
Table 15 Layups
Name Material Stacking sequence
layup1 iso5_4 \([\pm 45_2/0_2/90]_{s}\)
Table 16 Results
\(\phantom{-}1.108\times 10^{12}\) \(-2.677\times 10^{-3}\) \(-1.050\times 10^{-4}\) \(-5.795\times 10^{-5}\) \(-2.099\times 10^5\) \(-1.626\times 10^5\)
\(-2.677\times 10^{-3}\) \(\phantom{-}2.352\times 10^{11}\) \(-1.583\times 10^3\) \(\phantom{-}4.781\times 10^4\) \(\phantom{-}3.200\times 10^{-3}\) \(\phantom{-}2.063\times 10^{-2}\)
\(-1.050\times 10^{-4}\) \(-1.583\times 10^3\) \(\phantom{-}2.352\times 10^{11}\) \(\phantom{-}4.086\times 10^4\) \(\phantom{-}6.546\times 10^{-4}\) \(\phantom{-}1.063\times 10^{-3}\)
\(-5.795\times 10^{-5}\) \(\phantom{-}4.781\times 10^4\) \(\phantom{-}4.086\times 10^4\) \(\phantom{-}4.043\times 10^{13}\) \(\phantom{-}2.717\times 10^{-7}\) \(\phantom{-}3.229\times 10^{-8}\)
\(-2.099\times 10^5\) \(\phantom{-}3.200\times 10^{-3}\) \(\phantom{-}6.546\times 10^{-4}\) \(\phantom{-}2.717\times 10^{-7}\) \(\phantom{-}4.819\times 10^{13}\) \(-1.399\times 10^6\)
\(-1.626\times 10^5\) \(\phantom{-}2.063\times 10^{-2}\) \(\phantom{-}1.063\times 10^{-3}\) \(\phantom{-}3.229\times 10^{-8}\) \(-1.399\times 10^6\) \(\phantom{-}4.819\times 10^{13}\)