A 4.0 m cantilever runs from (0.0, 0.0, 0.0) to (0.0, 4.0, 0.0), along global Y. Reference vector (1.0, 0.0, 0.0) fixes local y. The pipe carries local load of −2.0 N/m and a midspan point force of −4.0 N. Free-end movement is given in global coordinates. Does recovery give the same midspan moment and bending stress as the pipe along X?

This page preserves a recorded benchmark and its expected values. The dated run below is not a new run of the current product.

These calculations recover separate mechanics stress components. Component recovery does not establish a combined stress maximum or code stress.

Independent numerical comparison. The recorded test exercises a benchmark crate. It does not exercise the desktop product route.

1.Inputs.

Illustrative values, taken from no standard and chosen so the arithmetic can be followed by hand. Most do not describe a real pipe; read them in any consistent set of units.

2.Method.

With the reference vector, local x follows global +Y, and local y follows global +X. Local z follows global −Z. Before force recovery, the solver transforms global displacements into local coordinates. Local deflection and rotation then equal those of the pipe along global X.

Recovery along the pipe is unchanged. Fixed-end shear is V_y,i = 12.0, and moment is M_z,i = 24.0. Recovery includes the point force at the station. Bending stress equals moment divided by section modulus.

3.Results.

The case record describes these checks:

• The midspan stress recovery completes without being blocked and is labeled as this case’s midspan station.
• The midspan bending moment matches 4.0 N·m.
• The bending stress about z matches 2.0 Pa.
• The axial normal stress is exactly zero.
• The result carries the review flags the program attaches to every result.

What it shows. Compared with an independent hand calculation.

Path exercised. The benchmark calls the solver’s components directly: elements, loads, frame solver and stress recovery. It does not go through the program’s own model-to-solve path.

Agreement. The moment and stresses must match the hand calculation to within an absolute difference of 1.0 × 10⁻⁹ in their own units. The zero axial stress, station label and review flag are checked exactly. Long values are shown here to seven significant figures; the tests compare the full values in the record.

4.Recorded command.

This command belongs to the archived source at 462f66975d36cd10d5b8455193ada9517d28d353. Use a checkout of that exact revision. This edition did not run the command. The recorded result does not establish current product support.

git checkout --detach 462f66975d36cd10d5b8455193ada9517d28d353
cd projects/chirality-piping
cargo test --manifest-path validation/benchmarks/stress/Cargo.toml oriented_load_to_stress_fixture_recovers_midspan_bending_from_global_model

Hand calculation: validation/hand_calcs/stress/tp_phys_005_oriented_load_to_stress.md. Test record, with the recorded run of 2026-07-10: stress-tp-phys-005-oriented-load-to-stress.md.