---
title: Combined Loading — Circular (Solid/Hollow)
emoji: 🏗️
colorFrom: indigo
colorTo: blue
sdk: gradio
sdk_version: "4.44.0"
app_file: app.py
pinned: false
---

# Combined Loading Calculator — Circular (Solid/Hollow)

Computes **axial + bending + torsion** stresses for circular sections (solid/hollow):
- normal stress at the outer fiber, shear from torsion, **von Mises** equivalent, and **FoS** vs. yield.
- explicit arithmetic shown (with `*`) so students can **see the math**.

## Run locally
```bash
pip install -r requirements.txt
python app.py
```

## Notes
- LLM is optional; app falls back to a deterministic one-liner if Transformers/Torch aren't available.
- Educational demo; ignores stress concentrations, transverse shear, and buckling.