# I-beam¶

Figure 34 Meshed cross section viewed in Gmsh.

This example has an I-shape cross section. The dimensions shown in Fig. 34 are $$w_1=2.0$$ m, $$w_2=3.0$$ m, $$h=3.0$$ m, $$t_1=0.11$$ m, $$t_2=0.065$$ m, $$t_w=0.08$$ m. Materials and layups are given in Table 21 and Table 22. The effective stiffness matrix is listed in Table 23. Complete input files can be found in examples\ex_ibeam\, including ibeam.xml, basepoints.dat, baselines.xml, materials.xml, and layups.xml.

Figure 35 Base points, Base lines and Segments of the I beam cross section.

Figure 36 Meshed cross section viewed in Gmsh.

Table 21 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_1 orthotropic 1.86 37.00 9.00 9.00 4.00 4.00 4.00 0.28 0.28 0.28
iso5_2 orthotropic 1.83 10.30 10.30 10.30 8.00 8.00 8.00 0.30 0.30 0.30
iso5_3 orthotropic 1.83 1e-8 1e-8 1e-8 1e-9 1e-9 1e-9 0.30 0.30 0.30
iso5_4 orthotropic 1.664 10.30 10.30 10.30 8.00 8.00 8.00 0.30 0.30 0.30
iso5_5 orthotropic 0.128 0.01 0.01 0.01 2e-4 2e-4 2e-4 0.30 0.30 0.30
Table 22 Layups
Name Layer Material Ply thickness Orientation Number of plies
$$\mathrm{m}$$ $$\circ$$
layup1 1 iso5_1 0.03 90 2
2 iso5_2 0.05 0 1
layup2 1 iso5_3 0.015 0 3
2 iso5_4 0.02 90 1
layup_web 1 iso5_5 0.02 0 4
 $$\phantom{-}2.749\times 10^9$$ $$-4.763\times 10^{-8}$$ $$-1.505\times 10^{-14}$$ $$-5.734\times 10^{-8}$$ $$-1.945\times 10^9$$ $$\phantom{-}2.779\times 10^3$$ $$-4.763\times 10^{-8}$$ $$\phantom{-}1.362\times 10^9$$ $$\phantom{-}4.309\times 10^2$$ $$\phantom{-}1.645\times 10^9$$ $$\phantom{-}1.277\times 10^{-7}$$ $$-4.362\times 10^{-14}$$ $$-1.505\times 10^{-14}$$ $$\phantom{-}4.309\times 10^2$$ $$\phantom{-}4.729\times 10^4$$ $$\phantom{-}5.201\times 10^2$$ $$\phantom{-}4.038\times 10^{-14}$$ $$-4.775\times 10^{-13}$$ $$-5.734\times 10^{-8}$$ $$\phantom{-}1.645\times 10^9$$ $$\phantom{-}5.201\times 10^2$$ $$\phantom{-}1.990\times 10^9$$ $$\phantom{-}1.541\times 10^{-7}$$ $$\phantom{-}7.025\times 10^{-14}$$ $$-1.945\times 10^9$$ $$\phantom{-}1.277\times 10^{-7}$$ $$\phantom{-}4.038\times 10^{-14}$$ $$\phantom{-}1.541\times 10^{-7}$$ $$\phantom{-}5.376\times 10^9$$ $$-5.274\times 10^2$$ $$\phantom{-}2.779\times 10^3$$ $$-4.362\times 10^{-14}$$ $$-4.775\times 10^{-13}$$ $$\phantom{-}7.025\times 10^{-14}$$ $$-5.274\times 10^2$$ $$\phantom{-}1.173\times 10^9$$