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MT-1620 al.2002 Note: for orthotropic, would need a membrane to give different N's in different directions in proportion to G and g Membrane analogy only applies to isotropic materials This analogy gives a good physical picture for o Easy to visualize deflections of membrane for odd shapes Figure 11.5 Representation of o and thus deformations for various closed cross sections under torsion etc Can use(and people have used) elaborate soap film equipment and measuring devices (See Timoshenko, Ch. 1 Paul A Lagace @2001 Unit 11-p 8φ MIT - 16.20 Fall, 2002 Note: for orthotropic, would need a membrane to give different N’s in different directions in proportion to Gxz and Gyz ⇒ Membrane analogy only applies to isotropic materials • This analogy gives a good “physical” picture for φ • Easy to visualize deflections of membrane for odd shapes Figure 11.5 Representation of φ and thus deformations for various closed cross-sections under torsion etc. Can use (and people have used) elaborate soap film equipment and measuring devices (See Timoshenko, Ch. 11) Paul A. Lagace © 2001 Unit 11 - p. 8
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