Kolomparameters
Gebruik Lcr = K·L. K=1,0 pen-pen, 0,5 volledig ingeklemd, 0,7 één kant ingeklemd
EN: γM1 = 1,0 (aanbevolen waarde, gebruikt door NL, DE, BE)
Voer in voor benutting η = NEd / Nb,Rd
Knikresultaten
1812.4
Nb,Rd (kN) — z-z maatgevend
Maatgevende as
z-z
λ̄0.895
φ1.019
χ0.664
Knikcurve
B (α = 0.34)
Ncr3406.4 kN
Npl,Rd2727.8 kN
Nb,Rd1812.4 kN
y-y: χ = 0.923
2518.3 kN
z-z: χ = 0.664
1812.4 kN
1. Section: HEA 240 | S355 (fy = 355 N/mm²)
A = 7,684 mm² | iy = 104 mm | iz = 58.5 mm
Curves: y-y = A, z-z = B (EN 1993-1-1 Table 6.2)
2. λ1 = 93.9 · ε, where ε = √(235/fy)
ε = √(235/355) = 0.814 | λ1 = 76.4
3. Non-dimensional slenderness λ̄ (§6.3.1.2 Eq 6.50)
Governing axis: z-z | i = 58.5 mm | Lcr = 4 m
λ̄ = (Lcr/i) / λ1 = (4000/58.5) / 76.4 = 0.895
4. Reduction factor χ (§6.3.1.2 Eq 6.49)
Curve B → α = 0.34
φ = 0.5 × [1 + α(λ̄ − 0.2) + λ̄²] = 0.5 × [1 + 0.34 × (0.895 − 0.2) + 0.895²] = 1.019
χ = 1 / (φ + √(φ² − λ̄²)) = 0.664
5. Nb,Rd (§6.3.1.1 Eq 6.47)
Nb,Rd = χ · A · fy / γM1 = 0.664 × 7,684 × 355 / 1 = 1812.4 kN
A = 7,684 mm² | iy = 104 mm | iz = 58.5 mm
Curves: y-y = A, z-z = B (EN 1993-1-1 Table 6.2)
2. λ1 = 93.9 · ε, where ε = √(235/fy)
ε = √(235/355) = 0.814 | λ1 = 76.4
3. Non-dimensional slenderness λ̄ (§6.3.1.2 Eq 6.50)
Governing axis: z-z | i = 58.5 mm | Lcr = 4 m
λ̄ = (Lcr/i) / λ1 = (4000/58.5) / 76.4 = 0.895
4. Reduction factor χ (§6.3.1.2 Eq 6.49)
Curve B → α = 0.34
φ = 0.5 × [1 + α(λ̄ − 0.2) + λ̄²] = 0.5 × [1 + 0.34 × (0.895 − 0.2) + 0.895²] = 1.019
χ = 1 / (φ + √(φ² − λ̄²)) = 0.664
5. Nb,Rd (§6.3.1.1 Eq 6.47)
Nb,Rd = χ · A · fy / γM1 = 0.664 × 7,684 × 355 / 1 = 1812.4 kN
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