---
license: mit
task_categories:
  - question-answering
  - text-generation
language:
  - en
tags:
  - engineering
  - statics
  - mechanics
  - physics
  - education
  - lighteval
size_categories:
  - n<1K
---

# Engineering Statics and Mechanics Evaluation Dataset

A benchmark dataset for evaluating LLM performance on Engineering Statics and Mechanics of Materials problems.
Statics and Mechanics are core units for 1st year undergraduate Engineering students around the world, and are fundamental understanding for many branches of engineering (civil, structural, mechanical, materials, industrial, mechatronic, aeronautical, space, etc).
Expert developer - I have taught these two units at University level for several decades.
You can see implimentation of this dataset and resources at:
[Statics and Mechanics Solver AI](https://sites.google.com/view/staticssolverai) and 
[Github Statics](https://github.com/Mike-Molt/statics-solver-ai) and
[Github Mechanics](https://github.com/Mike-Molt/mechanics-solver-ai) and
[YouTube](https://www.youtube.com/watch?v=SNaTuYVLVXs)

## Dataset Description

This dataset contains 168 questions covering 24 topics from undergraduate-level Engineering Statics and Mechanics of Materials:

### Statics Topics (68 questions, IDs: S_Q1-S_Q68)

| Topic | Questions |
|-------|-----------|
| Force vectors | 6 |
| Particle equilibrium | 7 |
| Moments | 8 |
| Rigid body equilibrium | 7 |
| Trusses | 9 |
| Frames | 5 |
| Centroids | 3 |
| Beam reactions | 3 |
| Beam internal forces | 10 |
| Friction | 3 |
| Moments of inertia | 7 |

### Mechanics of Materials Topics (100 questions, IDs: M_Q1-M_Q100)

| Topic | Questions |
|-------|-----------|
| Stress | 6 |
| Strain | 5 |
| Mechanical properties | 6 |
| Axial load | 10 |
| Torsion | 9 |
| Bending | 10 |
| Transverse shear | 7 |
| Combined loadings | 6 |
| Stress transformation | 7 |
| Strain transformation | 7 |
| Design of beams and shafts | 5 |
| Beam deflections | 8 |
| Buckling | 7 |
| Energy methods | 7 |

## Usage with LightEval

```bash
lighteval accelerate \
    "model_name=your-model" \
    "engineering_staticsmechanics|0" \
    --custom-tasks path/to/engineering_staticsmechanics.py
```

## Dataset Structure

Each example contains:
- `id`: Question identifier (S_Q1-S_Q68 for Statics, M_Q1-M_Q100 for Mechanics)
- `question`: The engineering problem
- `answer`: The correct numerical answer with units

## Subsets

### Statics
- `force_vectors`: Force vector problems
- `particle_equilibrium`: Particle equilibrium problems
- `moments`: Moment calculation problems
- `rigid_body_equilibrium`: Rigid body equilibrium problems
- `trusses`: Truss analysis problems
- `frames`: Frame analysis problems
- `centroids`: Centroid calculation problems
- `beam_reactions`: Beam reaction problems
- `beam_internal_forces`: Beam internal force problems
- `friction`: Friction problems
- `moments_of_inertia`: Moment of inertia problems

### Mechanics of Materials
- `stress`: Stress analysis problems
- `strain`: Strain analysis problems
- `mechanical_properties`: Material properties problems
- `axial_load`: Axial loading problems
- `torsion`: Torsion problems
- `mech_bending`: Bending stress problems
- `transverse_shear`: Transverse shear problems
- `combined_loadings`: Combined loading problems
- `stress_transformation`: Stress transformation problems
- `strain_transformation`: Strain transformation problems
- `design_beams_shafts`: Beam and shaft design problems
- `beam_deflections`: Beam deflection problems
- `buckling`: Column buckling problems
- `energy_methods`: Energy methods problems

## Citation

If you use this dataset, please cite:
```
@misc{staticsmechanics,
  title={Engineering Statics and Mechanics Evaluation Dataset},
  year={2026},
  url={https://huggingface.co/datasets/mikemolt/staticsmechanics}
}
```

## License

MIT License