compmec / section

Analysis of beams cross-section using the boundary element method
MIT License
1 stars 0 forks source link

Compute torsion constant vector #6

Open carlos-adir opened 10 months ago

carlos-adir commented 10 months ago

To compute the torsion constant, the following quantity must be computed

$$\mathbb{J}_{\omega} = \int_a^b \omega \ \langle \mathbf{p}, \ \mathbf{p}'\rangle \ dt$$

So, the torsion constant vector is given by

$$\mathbb{J}_{\omega j} = \int_a^b \varphi_j \cdot \langle \mathbf{p}, \ \mathbf{p}'\rangle \ dt$$

And it's valid for any type of geometry.