Warping Torsion in 3D Beam Finite Elements

Olsen, Dennis Nedergaard ; Andersen, Lynge Udengaard

4. term

Structural and Civil Engineering, Master

2015

2015-06-10

56

This project deals with torsion both analytically and numerically. The report starts by presenting analytical derivations of spatial beam theory from which everything originates. Torsion can be looked at in two ways, which depend on the support and load condition. Both scenarios, homogeneous torsion and non-homogeneous, are investigated analytically. Furthermore, non-homogeneous torsion is analysed numerically in a home-made MATLAB code and compared with results from an advanced numerical commercial software program ABAQUS.

beam finite element ; finite element ; warping ; torsion ; vlasov torsion ; beam theory ; non-homogeneous torsion

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Andersen, Lynge Udengaard:

• Warping Torsion in 3D Beam Finite Elements (2016)