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I want calculate the strain and stresses in a beam element with following DOF {u1,v1,O1,u2,v2,O2} using FEM analysis.

Stresses:

stresses

Strain: [ε] = [B]x[u]

strains

with: [B] = strain displacement matrix

[u] = calculated displacement of a beam element

I can't find a clear information about strain displacement matrix for a beam element.

Could you please provide an example of strain displacement matrix [B] for a beam element with following DOF {u1,v1,O1,u2,v2,O2}?

Many thanks in advance!

DobbyTheElf
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Yurii Yarema
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  • If you are asking how to form the matrix, here is a good place to look: https://mae.ufl.edu/haftka/structII/beams-bars.pdf If you want to know how to implement it in Python, https://pypi.org/project/scikit-fem/ is a pure-python FEM module. – DobbyTheElf Mar 13 '23 at 11:51

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