Circular tube

Simple circular tube example with a single layup.

Overview

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 Material properties. The layup is defined using the stacking sequence code \([\pm 45_2/0_2/90]_{2s}\).

Table 13 Material properties

Name	Type	Density	\(E_{1}\)	\(E_{2}\)	\(E_{3}\)	\(G_{12}\)	\(G_{13}\)	\(G_{23}\)	\(\nu_{12}\)	\(\nu_{13}\)	\(\nu_{23}\)
		\(10^3\ \mathrm{kg/m^3}\)	\(\mathrm{GPa}\)	\(\mathrm{GPa}\)	\(\mathrm{GPa}\)	\(\mathrm{GPa}\)	\(\mathrm{GPa}\)	\(\mathrm{GPa}\)
iso5_4	orthotropic	1.664	10.3	10.3	10.3	8.0	8.0	8.0	0.3	0.3	0.3

Table 14 Layups

Name	Material	Stacking sequence
layup1	iso5_4	\([\pm 45_2/0_2/90]_{s}\)

Figure 19 Base points, Base lines and Segments of the tube cross section.

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Input

• tube.xml

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Run the example

prevabs -i tube.xml --hm

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Output

Figure 20 Cross section viewed in gmsh.

• tube.png

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Analysis Result

Table 15 Results

\(\phantom{-}1.108\times 10^{12}\)	\(-2.677\times 10^{-3}\)	\(-1.050\times 10^{-4}\)	\(-5.795\times 10^{-5}\)	\(-2.099\times 10^5\)	\(-1.626\times 10^5\)
\(-2.677\times 10^{-3}\)	\(\phantom{-}2.352\times 10^{11}\)	\(-1.583\times 10^3\)	\(\phantom{-}4.781\times 10^4\)	\(\phantom{-}3.200\times 10^{-3}\)	\(\phantom{-}2.063\times 10^{-2}\)
\(-1.050\times 10^{-4}\)	\(-1.583\times 10^3\)	\(\phantom{-}2.352\times 10^{11}\)	\(\phantom{-}4.086\times 10^4\)	\(\phantom{-}6.546\times 10^{-4}\)	\(\phantom{-}1.063\times 10^{-3}\)
\(-5.795\times 10^{-5}\)	\(\phantom{-}4.781\times 10^4\)	\(\phantom{-}4.086\times 10^4\)	\(\phantom{-}4.043\times 10^{13}\)	\(\phantom{-}2.717\times 10^{-7}\)	\(\phantom{-}3.229\times 10^{-8}\)
\(-2.099\times 10^5\)	\(\phantom{-}3.200\times 10^{-3}\)	\(\phantom{-}6.546\times 10^{-4}\)	\(\phantom{-}2.717\times 10^{-7}\)	\(\phantom{-}4.819\times 10^{13}\)	\(-1.399\times 10^6\)
\(-1.626\times 10^5\)	\(\phantom{-}2.063\times 10^{-2}\)	\(\phantom{-}1.063\times 10^{-3}\)	\(\phantom{-}3.229\times 10^{-8}\)	\(-1.399\times 10^6\)	\(\phantom{-}4.819\times 10^{13}\)