I'm looking for the torsional rigidity of a three layer isotropic beam like the one seen in the figure. I looked at Muskhelishvili's book from 1963, but that solution is only for a two layer isotropic beam. I have not been able to find other sources that might have the answer.
All other references that I find are for orthotropic beams.
Does anyone know where I could find an equation for the torsional rigidity of a three layer isotropic beam? Or is it something I will have to derive myself?
There is an analytical solution (via infinite series) for the torsional rigidity of N layer isotropic beam in the next book: S. G. LEHNICKII, Torsion of anisotropic and nonhomogeneous rods [in Russian], Nauka, 1971. (§§ 22-23).
Victor J. Аdlucky Thank you so much for your response, this book seems to be what I need. However, I was not able to able to find it in any google searches or libraries. Would you happen to have a copy of it? I was only able to find the citation, but not the book. Thank you so much.
Hi Rodolfo Barranco,
I send a copy of pages that can be helpful for you.
Dear Rodolfo,
The torsional rigidity of the composite sections formed by different materials can be studied by using a simplified finite element procedure. Use the derivation of the differential equation, the Saint-Venant’s stress function and the partial differential equation discriteze by finite elements to obtain the potentials in the nodal points. From these nodal potential values, the shear stresses and the torsional rigidity of the whole composite section can be calculated. It is a computationally efficient procedure for calculating the torsional rigidity of the composite sections. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain.
Refer Victor said LEHNIC KII.rar.
Hope it is helpful to you.
Ashish
Victor J. Аdlucky Thank you so much for the files!
Ashish Thakur I will look into this, thank you so much!
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