Support reactions
| ID | Rx (kN) | Rz (kN) | My (kN·m) |
|---|---|---|---|
| 1 | 0 | 22.5 | 0 |
| 33 | 0 | 75 | 0 |
| 65 | 0 | 22.5 | 0 |
Engine vs formula: Relative difference 1.5 × 10−10 %
R1: Engine 22.5 / Classical method 22.5 kN · 1.1 × 10−10 %
R2: Engine 75 / Classical method 75 kN · 1 × 10−10 %
R3: Engine 22.5 / Classical method 22.5 kN · 1.5 × 10−10 %
Open in Stabileo ↗Sparse Cholesky solver (191 free DOFs)
Residual 1.10e-11 (191 free DOFs)
Closed form / Classical method
Slope-deflection: solve support rotations, then recover reactions.
Assumptions
Linear elastic, small displacements. Prismatic Euler–Bernoulli frame members; truss bars carry axial force only with ideal pin joints. Self-weight is excluded. No shear deformation, geometric nonlinearity or design checks.
Technical details
Production Stabileo solver · planar Euler–Bernoulli frame elements.
32 elements per span. Diagram extrema are sampled. Influence lines use 101 positions plus the section and its two sides; axle extrema are sampled, not an exact optimization. Shear is evaluated immediately left of the section.
Total nodal DOFs: 195