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▸Formula · assumptions · example(EN 755-9:2016 · EN 12020-2:2016 · ISO 209:2007)

Formula

m' = \frac{A \cdot \rho}{1000} \quad [\text{kg/m}], \quad M = m' \cdot \frac{L}{1000} \quad [\text{kg}]

EN 755-9 linear mass per meter and cut bar mass based on solid cross-section area A (mm²), certified alloy density ρ (g/cm³), and cut length L (mm).

Assumptions

  • · Alloy density certified per ISO 209 / EN 573-3 chemical composition limits
  • · Dimensional extrusion tolerances conform to EN 12020-2 precision standard
  • · Permissible mass deviation restricted to ±5.0% Class A tolerance per EN 755-9
EN 755-9:2016 / EN 12020-2:2016 / ISO 209

Structural Aluminum T-Slot Profile Mass & Tolerance (40×40 Heavy)

STATUS: PASS(Nominal m' = 1.751 kg/m within ±5% tolerance band)

Cross-sectional solid area, linear mass per meter, cut bar mass, and precision dimensional tolerance verification for EN AW-6063-T6 architectural alloy.

1. Inputs & Boundary Parameters (Girdiler)
Profile geometry40×40 Modular Heavy EN 12020-2
Solid cross-section area A648.5 mm²
Alloy designationEN AW-6063-T6 (AlMg0.7Si) EN 573-3
Certified alloy density ρ2.700 g/cm³
Cut bar length L2500.0 mm
Nominal wall thickness t2.20 mm
Wall tolerance classEN 12020-2 Precision (±0.25 mm) Tab. 3
Mass tolerance classClass A (±5.0%) EN 755-9
2. Applied Governing Equations & Standard Clauses (Bağıntılar & Norm Maddesi)
Linear Mass per Meter: m' = (A · ρ) / 1000 [kg/m]
EN 755-9:2016 Clause 4.2
Total Bar Mass: M = m' · (L / 1000) [kg]
EN 755-1 / ISO 209
Wall Thickness Bound: tmin = tnom - Δt ≤ tactual
EN 12020-2:2016 Table 3
Linear Weight Window: m'min ≤ m' ≤ m'max (m' ± 5.0%)
EN 755-9:2016 Clause 4.3
3. Intermediate Calculation Stages (Ara Değerler)
Net piece volume VV = A · L = 648.5 · 2500
1.621×10^6 mm³
Minimum allowable wall tmin2.20 mm - 0.25 mm tolerance
1.95 mm
Section moment of inertia IxBiaxial symmetry in 40×40 core
9.24 cm⁴
Allowable linear weight band±5% tolerance window per EN 755-9
1.663 – 1.838 kg/m
4. Engineering Verification Result & Limit Threshold (Sonuç + Sınır)PASS
Extrusion Linear Mass m' & Cut Bar Mass M: m' = 1.751 kg/m | M = 4.378 kg
Acceptance limit: m' ∈ [1.663, 1.838] kg/m (EN 755-9 ±5% mass band)