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Documentation/Modules/3.6 Combined Loading

3.6 Combined Loading

Evaluate axial, bending, torsion and shear together

Standards catalog

Validation: beta · Method band: formula

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Indicative method: Indicative closed-form or numerical model

Assumptions

  • Linear elastic material behavior unless noted otherwise.
  • User is responsible for load combinations and load factors per the selected design code.

Limitations

  • Does not replace a licensed professional engineer or official code compliance review.

Engineering checks

CheckINDUSEUISO
Equivalent (von Mises) stress checkimplementedimplementedimplementedimplemented

3.6 Combined Loading (combined-loading) — beta

Purpose: Solid rectangular section under simultaneous axial, bending, torsion, and shear — von Mises screening.

Method: Closed-form

\sigma_{ax} = \frac{P}{A}, \quad \sigma_b = \frac{M c}{I}, \quad \tau_t = \frac{T c}{J}, \quad \tau_v = \frac{V}{A} $$[^implemented-von-mises-check-indicative-aisc-ch-h]

\sigma_{vm} = \sqrt{(\sigma_{ax}+\sigma_b)^2 + 3\tau_t^2}

(Shear $\tau_v$ computed but not folded into von Mises in current engine — limitation.) **Design codes:** **Implemented** von Mises check — Indicative, AISC Ch. H, EN 1993-1-1 Cl. 6.2, ISO 10828. **UI:** Legacy three-column; extracted monolith module; unit profile complete. **Gaps:** Rectangular section only; shear not in von Mises combination; no warping/torsion refinement. --- [^implemented-von-mises-check-indicative-aisc-ch-h]: **Implemented** von Mises check — Indicative, AISC Ch. H, EN 1993-1-1 Cl. 6.2, ISO 10828.
Maintainer note: Closed-form calculations with low solver coupling.