Prediction — Two heights, one law
With b = 0.05 m, L = 1 m, E = 210 GPa, and F = −1000 N:
I = b·h³/12
uy_ref = F·L³/(3·E·I)
sigma_ref(x=0.2L) = F·(0.8L)·(h/2)/I| Case | h (m) | mesh_h (m) | uy_ref (m) | sigma_ref (Pa) | Topology |
|---|---|---|---|---|---|
| 1 | 0.10 | 0.05 | −3.80952381E−4 | 9.60000E6 | 126 nodes / 40 elems |
| 2 | 0.08 | 0.04 | −7.44047619E−4 | 1.50000E7 | 156 nodes / 50 elems |
When the height is reduced from 0.10 to 0.08, the moment of inertia falls with h³ and theoretical deflection increases by approximately 95%. If the driver is properly encapsulated, that change only requires new arguments.