In this example we solve a continuous beam subjected to a constant distributed load which lies on multiple supports and is fixed at one end.
\(E = 210 GPa\)
\(I = 5 \cdot 10^{-6} m\)
You can find the model in WeStatiX, and the detailed instructions in the tutorial page.
In the table below you can see the comparison between WeStatiX’s results and the analytical solution you can get with solving the beam equation.
Result Comparison
Result Type | Target Value | WeStatiX result | Relative Error |
---|---|---|---|
Deflection at point E [m] | -0,0090821 | -0,0090821 | 0,00% |
Shear at the right of point C [kN] | 6,086957 | 6,086957 | 0,00% |
Vertical reaction at point A [kN] | 1,893679 | 1,893720 | 0.002% |
Reaction moment at point D [kNm] | 4,057971 | 4,057971 | 0,00% |
As you can see, the two solutions overlap perfectly.