Add Hydrotech Beam project files - CONTEXT.md and TECHNICAL_BREAKDOWN.md

Project intake and technical breakdown for beam structural optimization.
4 design variables, SOL 101, single-objective (minimize mass).

projects/hydrotech-beam/CONTEXT.md

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+# CONTEXT.md — Hydrotech Beam Structural Optimization
+
+## Client
+Hydrotech (internal test fixture)
+
+## Objective
+Minimize beam mass while reducing tip displacement and keeping stress within limits. Multi-objective: lighter, stiffer, safe.
+
+## Key Parameters
+| Parameter | Current | Range | Units | Notes |
+|-----------|---------|-------|-------|-------|
+| beam_half_core_thickness | 20 | 10–40 | mm | Core half-thickness |
+| beam_face_thickness | 20 | 10–40 | mm | Face sheet thickness |
+| holes_diameter | 300 | 150–450 | mm | Lightening hole diameter |
+| hole_count | 10 | 5–15 | integer | Number of lightening holes |
+
+## Constraints
+- Max tip displacement: < 10 mm
+- Max von Mises stress: < ~130 MPa (steel, conservative)
+- Mass tracked via NX expression `p173`
+
+## Objectives
+- Minimize mass (currently ~974 kg — way too heavy)
+- Minimize tip displacement (currently ~22 mm, target < 10 mm)
+- Keep stress reasonable (steel, margin exists)
+
+## Baseline Performance
+- Mass: ~974 kg
+- Tip displacement: ~22 mm
+- Material: Steel (AISI)
+
+## Model
+- NX Part: `Beam.prt`
+- FEM: `Beam_fem1.fem`
+- Idealized part: `Beam_fem1_i.prt`
+- Simulation: `Beam_sim1.sim`
+- Solver: NX Nastran (static structural)
+- Analysis: Static structural
+
+## Decisions
+- 2026-02-08: Project received from Antoine
+
+## Status
+Phase: Intake
+Channel: #project-hydrotech-beam