Axial Stress & Strain Calculator mechanism

Model scope

NEEDS_REVIEW because the exact ambiguity is that the spec provides no units for P, A, L, or E and does not state the sign convention for P. The empty honest_label should be populated with the assumptions and limitations: uniform prismatic member, concentric axial load, linear elastic behavior, small strain, and required unit consistency.

No additional formula finding is recorded.

Units and conventions

• P is axial force, A is cross-sectional area, L is initial gauge length, and E is Young's modulus.
• P and A must use compatible force and area units so that σ=P/A has stress units.
• E must use the same stress units as σ.
• L and δ must use the same length units.
• ε is dimensionless.
• The formulas assume a prismatic member with uniform area, concentric axial loading, linear elastic material behavior, small strain, and negligible effects from self-weight or local stress concentrations.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "P": 20000,
    "P_unit": "N",
    "A": 400,
    "A_unit": "mm^2",
    "L": 2000,
    "L_unit": "mm",
    "E": 200000,
    "E_unit": "N/mm^2"
  },
  "expected_outputs": {
    "σ": "50 MPa",
    "ε": "0.00025",
    "δ": "0.5 mm"
  },
  "working": "σ=P/A=20000/400=50 N/mm^2=50 MPa. ε=σ/E=50/200000=0.00025. δ=PL/(AE)=(20000×2000)/(400×200000)=40000000/80000000=0.5 mm."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

An input of A=0 makes sigma and delta undefined through division by zero; the calculator should reject it rather than expose non-finite JavaScript results.

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche4/tranche4-results.json
• BOUNDARY_HAZARD_CATALOG.json