Prediction — When does nonlinearity matter?
Slender variant: L = 0.5 m, h = 0.04 m, b = 0.05 m, F = −10000 N, E = 210 GPa.
I = b·h³/12
uy_ref = F·L³/(3·E·I)| Quantity | Value | Interpretation |
|---|---|---|
uy_ref | −7.44047619E−3 m | Euler–Bernoulli reference |
|uy_ref|/h | ≈ 18.6% | Large displacements likely |
Theoretical σ_max | ≈ 450 MPa | Above Sy = 250 MPa → yielding |
| Topology | 312 nodes / 150 elems | Mesh consistent with mesh_h = 0.02 m |
Prediction: with NLGEOM,ON, the final deflection will differ from the linear result by at least 0.05% (a small geometric effect in bending). With plasticity, the deviation will be much larger (~24%).