# 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.

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

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 $$[\pm 45_2/0_2/90]_{s}$$
 $$\phantom{-}1.108\times 10^{12}$$ $$-2.677\times 10^{-3}$$ $$-1.050\times 10^{-4}$$ $$-5.795\times 10^{-5}$$ $$-2.099\times 10^5$$ $$-1.626\times 10^5$$ $$-2.677\times 10^{-3}$$ $$\phantom{-}2.352\times 10^{11}$$ $$-1.583\times 10^3$$ $$\phantom{-}4.781\times 10^4$$ $$\phantom{-}3.200\times 10^{-3}$$ $$\phantom{-}2.063\times 10^{-2}$$ $$-1.050\times 10^{-4}$$ $$-1.583\times 10^3$$ $$\phantom{-}2.352\times 10^{11}$$ $$\phantom{-}4.086\times 10^4$$ $$\phantom{-}6.546\times 10^{-4}$$ $$\phantom{-}1.063\times 10^{-3}$$ $$-5.795\times 10^{-5}$$ $$\phantom{-}4.781\times 10^4$$ $$\phantom{-}4.086\times 10^4$$ $$\phantom{-}4.043\times 10^{13}$$ $$\phantom{-}2.717\times 10^{-7}$$ $$\phantom{-}3.229\times 10^{-8}$$ $$-2.099\times 10^5$$ $$\phantom{-}3.200\times 10^{-3}$$ $$\phantom{-}6.546\times 10^{-4}$$ $$\phantom{-}2.717\times 10^{-7}$$ $$\phantom{-}4.819\times 10^{13}$$ $$-1.399\times 10^6$$ $$-1.626\times 10^5$$ $$\phantom{-}2.063\times 10^{-2}$$ $$\phantom{-}1.063\times 10^{-3}$$ $$\phantom{-}3.229\times 10^{-8}$$ $$-1.399\times 10^6$$ $$\phantom{-}4.819\times 10^{13}$$