What's inside (4 pages)
Page 1 — Mcr Fundamentals
General formulaC₁·(π²EIy/L_LT²)·√(1+(k·z₀)²·...)
Simplified (SCI P362)Mcr = C₁·π²EIy/(k·L_LT)²
λ̄LT√(Wpl,y·fy/Mcr)
Page 2 — C₁, C₂, C₃ Tables
k = 1.0Uniform moment: 1.000 · UDL: 1.136 · Point: 1.366
k = 0.7Partial fixity corrections · C₂/C₃ notes
kz, kwEffective length factors guidance
Page 3 — χLT Selection + Tables
Table 6.5Rolled → curve b (h/b≤2), curve d (h/b>2)
χLT tableλ̄LT 0.4–2.5, all 4 curves
kc valuesTable 6.6 (uniform → 1.00, parabolic → 0.90)
Page 4 — Worked Example
IPE 450 / S355L_LT = 6.0 m, k = 1.0, uniform moment
5 stepsMcr → λ̄LT → φLT/χLT → Mb,Rd → Util
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What the cheatsheet covers
01
Mcr Fundamentals
General + simplified formula, variable definitions, beam diagram
02
C₁ / C₂ / C₃ Tables
NCCI SN003, k = 1.0 & 0.7, destabilising loads, kz/kw
03
χLT Buckling Curves
Table 6.5, pre-computed χLT table (λ̄LT 0.4–2.5), kc values
04
Worked Example
IPE 450 / S355, 5 steps to Mb,Rd + utilisation
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Key formula — χLT (EN 1993-1-1 §6.3.2.2)
φLT = 0.5[1 + αLT(λ̄LT − 0.2) + λ̄LT²]
χLT = 1/(φLT + √(φLT² − λ̄LT²)) ≤ 1.0
Non-dimensional slenderness λ̄LT = √(Wpl,y · fy / Mcr)
χLT = 1/(φLT + √(φLT² − λ̄LT²)) ≤ 1.0
Non-dimensional slenderness λ̄LT = √(Wpl,y · fy / Mcr)
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LTB Buckling Calculator — EN 1993-1-1 §6.3.2, HEA/HEB/IPE/UC, instant results.
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LTB Buckling Calculator — EN 1993-1-1 §6.3.2, HEA/HEB/IPE/UC, instant results.
Column Buckling Calculator — §6.3 member buckling.
Upload a PDF drawing → get fabrication-ready output