Beams are basic structural elements which have applications in many branches of industry. Very often these structures are with non-symmetrical cross sections. Some typical examples include wind turbine blades, bridges, aircraft wings, helicopter blades, etc.
The computation of the cross-sectional properties consists of numerical solution of the elliptic partial differential equation, which defines the warping function, and numerical integration of all cross sectional properties which appear at the equation of motion of beams. The obtained warping function and the computed cross sectional coefficients are suitable for solid, open and closed thin-walled cross sections of arbitrary geometry.
Details about the numerical computation of the warping function and the derivation of the beam equation of motion can be found in the following paper:
S. Stoykov, E. Manoach, S. Margenov, An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations, ZAMM - Journal of Applied Mathematics and Mechanics 96 (2016) 791-812.
The tool gives the coordinates of the twist centre and the centroid, and the following cross sectional properties:
Tobecs was developed at Institute of Information and Communication Technologies, Bulgarian Academy of Sciences. If you have any questions, comments or suggestions, please contact Dr. Stoykov (Email: stoykov@parallel.bas.bg).