1.1: Cantilever Beam under Gravity¶
Geometry and Boundary Conditions¶
One end of the beam is fixed, with a body load of 9.81 m/s² in the negative Z direction (0,0,-1).
Material¶
Isotropic material with:
E = 205 GPa
ν = 0.3
ρ = 7870 kg/m³
Results¶
Reference results from [3]
Radial Displacement at Inner Radius (Linear Elements)¶
Resolution |
Theory |
Direct Solver [%error] |
Iterative Solver [%error] |
|---|---|---|---|
10,000 |
-2.232E-04 |
-2.231E-04 [1.25%] |
-2.231E-04 [1.25%] |
50,000 |
-2.246E-04 |
-2.248E-04 [0.52%] |
-2.248E-04 [0.52%] |
120,000 |
-2.249E-04 |
-2.252E-04 [0.36%] |
-2.252E-04 [0.36%] |
200,000 |
-2.251E-04 |
-2.253E-04 [0.31%] |
-2.253E-04 [0.31%] |
Time (s) to solve with <1% error |
4.73 secs |
3.58 secs |