Eurocode 3 Verification
Published Eurocode worked examples, with SCI SN002/P362 calculation inputs reproduced for the corresponding component checks.
Verification Methodology
Published benchmark cases are compared with AutoCalcs results using the stated section, material, loading and restraint assumptions.
The table contains 95 published comparisons: 75 numerical results and 20 classification outcomes.
The average is the mean absolute percentage difference across numerical comparisons, calculated before rounding. Classification outcomes show Match or Mismatch and are excluded from the numerical average.
SCI P364 comparisons use the UK National Annex. Example 4 uses SN002 buckling inputs; Examples 11 and 12 use P362 inputs. These comparisons assess resistance and interaction with the specified buckling parameters. Example 12 uses the modified lateral-torsional buckling factor in its interaction calculation.
Verification Results
| Description | Section | Expected | Result | Difference |
|---|---|---|---|---|
406x178x54 UB flange class (pure bending)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 1 | Class 1 | Match |
406x178x54 UB web class (pure bending)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 1 | Class 1 | Match |
406x178x54 UB overall class (pure bending)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 1 | Class 1 | Match |
406x178x54 UB flange class (pure compression, N=300kN)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 1 | Class 1 | Match |
406x178x54 UB web class (pure compression, N=300kN)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 4 | Class 4 | Match |
ⓘ Pure compression, N=300 kN. Designers' Guide Example 5.1, printed p.33 (PDF p.39): reference classification is Class 4. | ||||
406x178x54 UB overall class (pure compression, N=300kN)Designers' Guide to EN 1993-1-1, Ex 5.1 | 406x178x54 UB | Class 4 | Class 4 | Match |
ⓘ Pure compression, N=300 kN. Designers' Guide Example 5.1, printed p.33 (PDF p.39): reference classification is Class 4. | ||||
254x254x73 UC flange class (pure compression)Designers' Guide to EN 1993-1-1, Ex 6.2 | 254x254x73 UC | Class 2 | Class 2 | Match |
254x254x73 UC overall classDesigners' Guide to EN 1993-1-1, Ex 6.2 | 254x254x73 UC | Class 2 | Class 2 | Match |
229x89 Channel flange classDesigners' Guide to EN 1993-1-1, Ex 6.4 | 229x89 Channel | Class 1 | Class 1 | Match |
229x89 Channel web classDesigners' Guide to EN 1993-1-1, Ex 6.4 | 229x89 Channel | Class 1 | Class 1 | Match |
229x89 Channel overall classDesigners' Guide to EN 1993-1-1, Ex 6.4 | 229x89 Channel | Class 1 | Class 1 | Match |
CHS 244.5x10 overall classDesigners' Guide to EN 1993-1-1, Ex 6.7 | CHS 244.5x10 | Class 1 | Class 1 | Match |
RHS 200x100x16 flange classDesigners' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | Class 1 | Class 1 | Match |
RHS 200x100x16 web classDesigners' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | Class 1 | Class 1 | Match |
RHS 200x100x16 overall classDesigners' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | Class 1 | Class 1 | Match |
CHS 244.5x10 λ_barDesigners' Guide to EN 1993-1-1, Ex 6.7 | CHS 244.5x10 | 0.56 | 0.5553517 | 0.83% |
CHS 244.5x10 χ (curve a)Designers' Guide to EN 1993-1-1, Ex 6.7 | CHS 244.5x10 | 0.91 | 0.9061515 | 0.42% |
CHS 244.5x10 Nb,RdDesigners' Guide to EN 1993-1-1, Ex 6.7 | CHS 244.5x10 | 1836.5 kN | 1836.543 kN | 0.00% |
H 305x305x240 λ_bar_yDesigners' Guide to EN 1993-1-1, Ex 6.10 | H 305x305x240 | 0.23 | 0.2338015 | 1.65% |
ⓘ Textbook rounds λ̄ to 2 decimal places. AutoCalcs retains full precision from section property calculations. | ||||
H 305x305x240 χ_y (curve b)Designers' Guide to EN 1993-1-1, Ex 6.10 | H 305x305x240 | 0.99 | 0.9879972 | 0.20% |
H 305x305x240 λ_bar_zDesigners' Guide to EN 1993-1-1, Ex 6.10 | H 305x305x240 | 0.59 | 0.5938296 | 0.65% |
H 305x305x240 χ_z (curve c)Designers' Guide to EN 1993-1-1, Ex 6.10 | H 305x305x240 | 0.79 | 0.7890358 | 0.12% |
RHS 200x100x16 λ_bar_yDesigners' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 1.42 | 1.415534 | 0.31% |
RHS 200x100x16 χ_y (curve a)Designers' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 0.41 | 0.4103954 | 0.10% |
RHS 200x100x16 λ_bar_zDesigners' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 0.84 | 0.8449349 | 0.59% |
RHS 200x100x16 χ_z (curve a)Designers' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 0.77 | 0.7690404 | 0.12% |
UC 203x203x46 λ_bar_yWorked Examples in EC3 & EC4 | UC 203x203x46 | 0.65 | 0.6529926 | 0.46% |
UC 203x203x46 χ_y (curve b)Worked Examples in EC3 & EC4 | UC 203x203x46 | 0.81 | 0.8095763 | 0.05% |
UC 203x203x46 λ_bar_zWorked Examples in EC3 & EC4 | UC 203x203x46 | 0.56 | 0.5613445 | 0.24% |
UC 203x203x46 χ_z (curve c)Worked Examples in EC3 & EC4 | UC 203x203x46 | 0.81 | 0.8080528 | 0.24% |
UB 762x267x173 Mcr Segment CDDesigners' Guide to EN 1993-1-1 | UB 762x267x173 | 4311 kN·m | 4311.378 kN·m | 0.01% |
UB 762x267x173 λ_LT Segment CDDesigners' Guide to EN 1993-1-1 | UB 762x267x173 | 0.63 | 0.6287588 | 0.20% |
UB 762x267x173 χ_LT Segment CD (general)Designers' Guide to EN 1993-1-1 | UB 762x267x173 | 0.82 | 0.8223662 | 0.29% |
UB 762x267x173 λ_LT Segment BCDesigners' Guide to EN 1993-1-1 | UB 762x267x173 | 0.55 | 0.5468707 | 0.57% |
UB 762x267x173 χ_LT Segment BC (general)Designers' Guide to EN 1993-1-1 | UB 762x267x173 | 0.86 | 0.862847 | 0.33% |
UB 762x267x173 Mb,Rd Segment BCDesigners' Guide to EN 1993-1-1 | UB 762x267x173 | 1469 kN·m | 1470.68 kN·m | 0.11% |
UB 457x191x82 λ_LTDesigners' Guide to EN 1993-1-1 | UB 457x191x82 | 0.64 | 0.6408931 | 0.14% |
UB 457x191x82 χ_LT (general)Designers' Guide to EN 1993-1-1 | UB 457x191x82 | 0.82 | 0.8160088 | 0.49% |
UB 457x191x82 Mb,RdDesigners' Guide to EN 1993-1-1 | UB 457x191x82 | 411 kN·m | 410.8808 kN·m | 0.03% |
UC 203x203x46 Cl.6.3.3 ratio (Annex B)Worked Examples in EC3 & EC4 | UC 203x203x46 | 0.51 | 0.5030079 | 1.37% |
ⓘ Interaction factors kyy, kzy computed with full precision vs textbook's 2 d.p. rounding of intermediate χ and λ̄ values. | ||||
H 305x305x240 Cl.6.3.3 ratio (Annex B)Designers' Guide to EN 1993-1-1, Ex 6.10 | H 305x305x240 | 0.97 | 0.9667059 | 0.34% |
RHS 200x100x16 Cl.6.3.3 ratio (Annex B)Designers' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 0.94 | 0.9468666 | 0.73% |
P364 Ex3: 457x191x67 Mcr uniformSCI P364, Example 3 | 457x191x67 UKB | 134.2 kN·m | 133.6687 kN·m | 0.40% |
P364 Ex3: 457x191x67 Mcr with C1=2.65SCI P364, Example 3 | 457x191x67 UKB | 355.7 kN·m | 354.222 kN·m | 0.42% |
P364 Ex3: 457x191x67 λ_LTSCI P364, Example 3 | 457x191x67 UKB | 1.07 | 1.068285 | 0.16% |
P364 Ex3: 457x191x67 χ_LT baseSCI P364, Example 3 | 457x191x67 UKB | 0.60 | 0.5983606 | 0.27% |
P364 Ex3: 457x191x67 f factorSCI P364, Example 3 | 457x191x67 UKB | 0.83 | 0.833071 | 0.37% |
P364 Ex3: 457x191x67 χ_LT,modSCI P364, Example 3 | 457x191x67 UKB | 0.72 | 0.7182589 | 0.24% |
P364 Ex3: 457x191x67 Mb,RdSCI P364, Example 3 | 457x191x67 UKB | 291 kN·m | 290.3561 kN·m | 0.22% |
P364 Ex3: 457x191x67 MEd/Mb,RdSCI P364, Example 3 | 457x191x67 UKB | 0.89 | 0.895452 | 0.61% |
P364 Ex5: 305x305x97 UKC flange classSCI P364, Example 5 | 305x305x97 UKC | Class 3 | Class 3 | Match |
P364 Ex5: 305x305x97 UKC web classSCI P364, Example 5 | 305x305x97 UKC | Class 1 | Class 1 | Match |
P364 Ex5: 305x305x97 UKC overall classSCI P364, Example 5 | 305x305x97 UKC | Class 3 | Class 3 | Match |
P364 Ex5: 305x305x97 Mcr uniformSCI P364, Example 5 | 305x305x97 UKC | 460.5 kN·m | 461.4376 kN·m | 0.20% |
P364 Ex5: 305x305x97 Mcr with C1=1.32SCI P364, Example 5 | 305x305x97 UKC | 607.7 kN·m | 609.0976 kN·m | 0.23% |
P364 Ex5: 305x305x97 λ_LTSCI P364, Example 5 | 305x305x97 UKC | 0.92 | 0.9192946 | 0.08% |
P364 Ex5: 305x305x97 χ_LT baseSCI P364, Example 5 | 305x305x97 UKC | 0.74 | 0.7485328 | 1.15% |
ⓘ AutoCalcs uses continuous LTB curve formula; textbook rounds intermediate Φ_LT to 2 d.p. | ||||
P364 Ex5: 305x305x97 χ_LT,modSCI P364, Example 5 | 305x305x97 UKC | 0.79 | 0.7989889 | 1.14% |
ⓘ The source rounds the intermediate Phi_LT to two decimal places; this rounding also affects the modified lateral-torsional buckling factor. | ||||
P364 Ex5: 305x305x97 Mb,RdSCI P364, Example 5 | 305x305x97 UKC | 407 kN·m | 411.2795 kN·m | 1.05% |
ⓘ The difference in bending resistance follows from rounding of the source lateral-torsional buckling factors. | ||||
P364 Ex5: 305x305x97 MEd/Mb,RdSCI P364, Example 5 | 305x305x97 UKC | 0.81 | 0.802374 | 0.94% |
P364 Ex9: 356x368x129 UKC flange classSCI P364, Example 9 | 356x368x129 UKC | Class 3 | Class 3 | Match |
P364 Ex9: 356x368x129 UKC overall classSCI P364, Example 9 | 356x368x129 UKC | Class 3 | Class 3 | Match |
P364 Ex9: 356x368x129 λ_bar_zSCI P364, Example 9 | 356x368x129 UKC | 0.82 | 0.8208987 | 0.11% |
P364 Ex9: 356x368x129 χ_zSCI P364, Example 9 | 356x368x129 UKC | 0.65 | 0.6490363 | 0.15% |
P364 Ex9: 356x368x129 Nb,RdSCI P364, Example 9 | 356x368x129 UKC | 3678 kN | 3672.247 kN | 0.16% |
P364 Ex10: 305x305x97 λ_bar_ySCI P364, Example 10 | 305x305x97 UKC | 0.516 | 0.5157667 | 0.05% |
P364 Ex10: 305x305x97 χ_ySCI P364, Example 10 | 305x305x97 UKC | 0.87 | 0.8771647 | 0.82% |
P364 Ex10: 305x305x97 Nb,y,RdSCI P364, Example 10 | 305x305x97 UKC | 2943 kN | 2967.01 kN | 0.82% |
P364 Ex10: 305x305x97 λ_bar_zSCI P364, Example 10 | 305x305x97 UKC | 0.449 | 0.448784 | 0.05% |
P364 Ex10: 305x305x97 χ_zSCI P364, Example 10 | 305x305x97 UKC | 0.88 | 0.871197 | 1.00% |
ⓘ AutoCalcs uses continuous buckling curve c formula; textbook rounds intermediate Φ to 2 d.p. | ||||
P364 Ex4: modified chi_LT using published SN002 inputsSCI P364, Example 4 | 457x191x82 UKB | 0.92 | 0.9091716 | 1.18% |
ⓘ SCI P364 Example 4, printed pp.36-38: UK National Annex and SN002 buckling inputs, with 1/sqrt(C1)=0.92. The comparison evaluates resistance using those inputs. | ||||
P364 Ex4: Mb,Rd using published SN002 inputsSCI P364, Example 4 | 457x191x82 UKB | 463 kN·m | 457.7906 kN·m | 1.13% |
ⓘ SCI P364 Example 4, printed pp.36-38: UK National Annex and SN002 buckling inputs, with 1/sqrt(C1)=0.92. The comparison evaluates resistance using those inputs. | ||||
P364 Ex11: 203x203x46 χ_ySCI P364, Example 11 | 203x203x46 UKC | 0.80 | 0.8095763 | 1.20% |
ⓘ SCI P364 Example 11, printed p.118: P362 buckling inputs, with 1/sqrt(C1)=0.75 and lambda_1=86. The comparison evaluates resistance or interaction using those inputs. | ||||
P364 Ex11: 203x203x46 χ_zSCI P364, Example 11 | 203x203x46 UKC | 0.47 | 0.472316 | 0.49% |
ⓘ SCI P364 Example 11, printed p.118: P362 buckling inputs, with 1/sqrt(C1)=0.75 and lambda_1=86. The comparison evaluates resistance or interaction using those inputs. | ||||
P364 Ex11: 203x203x46 χ_LTSCI P364, Example 11 | 203x203x46 UKC | 0.83 | 0.8360936 | 0.73% |
ⓘ SCI P364 Example 11, printed p.118: P362 buckling inputs, with 1/sqrt(C1)=0.75 and lambda_1=86. The comparison evaluates resistance or interaction using those inputs. | ||||
P364 Ex11: 203x203x46 Cl.6.3.3 combined ratioSCI P364, Example 11 | 203x203x46 UKC | 0.98 | 0.9979979 | 1.84% |
ⓘ SCI P364 Example 11, printed p.118: P362 buckling inputs, with 1/sqrt(C1)=0.75 and lambda_1=86. The comparison evaluates resistance or interaction using those inputs. | ||||
P364 Ex12: 457x191x67 χ_y (S355)SCI P364, Example 12 | 457x191x67 UKB | 0.94 | 0.9462321 | 0.66% |
P364 Ex12: 457x191x67 χ_z (S355)SCI P364, Example 12 | 457x191x67 UKB | 0.62 | 0.62709 | 1.14% |
ⓘ Textbook rounds intermediate Φ to 2 d.p. in buckling curve b; AutoCalcs retains full precision. | ||||
P364 Ex12: chi_LT using published P362 inputsSCI P364, Example 12 | 457x191x67 UKB | 0.88 | 0.8829840 | 0.34% |
ⓘ SCI P364 Example 12, printed pp.132-133: P362 buckling inputs, with 1/sqrt(C1)=0.75. The comparison evaluates resistance using those inputs. | ||||
P364 Ex12: combined ratio using published modified chi_LTSCI P364, Example 12 | 457x191x67 UKB | 0.88 | 0.8720652 | 0.90% |
ⓘ SCI P364 Example 12, printed p.133: the interaction calculation uses the source modified lateral-torsional buckling factor chi_LT,mod=1.0 and the published P362 buckling inputs. | ||||
EUR 22898 §16: Panel I plate slenderness (450×12, S355)EUR 22898 EN, §16 (pp.182) | Plate panel 450×12 | 0.811 | 0.8114526 | 0.06% |
EUR 22898 §16: Panel I reduction factor ρEUR 22898 EN, §16 (pp.182) | Plate panel 450×12 | 0.899 | 0.8982425 | 0.08% |
EUR 22898 §16: Panel III plate slenderness (288×6, S355)EUR 22898 EN, §16 (pp.182) | Plate panel 288×6 | 1.038 | 1.038659 | 0.06% |
EUR 22898 §16: Panel III reduction factor ρEUR 22898 EN, §16 (pp.182) | Plate panel 288×6 | 0.759 | 0.7588518 | 0.02% |
EUR 22898 §15: Bottom flange plate slenderness (700×26, S420)EUR 22898 EN, §15 (pp.174-178) | Plate panel 700×26 | 0.63 | 0.6336757 | 0.58% |
EUR 22898 §15: Stiffener plate slenderness (350×8, S420)EUR 22898 EN, §15 (pp.174-178) | Plate panel 350×8 | 1.03 | 1.029723 | 0.03% |
EUR 22898 §15: Stiffener reduction factor ρEUR 22898 EN, §15 (pp.174-178) | Plate panel 350×8 | 0.763 | 0.7636522 | 0.09% |
EUR 22898 §15: Inclined web plate slenderness (391×8, S420)EUR 22898 EN, §15 (pp.174-178) | Plate panel 391×8 | 1.15 | 1.150348 | 0.03% |
EUR 22898 §15: Inclined web reduction factor ρEUR 22898 EN, §15 (pp.174-178) | Plate panel 391×8 | 0.703 | 0.7030513 | 0.01% |
EUR 22898 §15: ρ web bending at λp=1.07, ψ=−1.30EUR 22898 EN, §15 (p.178) | Plate panel (bending) | 0.853 | 0.8529129 | 0.01% |
EUR 22898 §15.2: Stiffener ρ at λp=0.857EUR 22898 EN, §15.2 (p.177) | Plate panel (stiffener) | 0.868 | 0.8673169 | 0.08% |
254x254x73 UC Compression Resistance Nc,Rd (S355)Designers' Guide to EN 1993-1-1, Ex 6.2 | 254x254x73 UC | 3305 kN | 3305.05 kN | 0.00% |
RHS 200x100x16 Bending Resistance Mc,Rd (S355, Class 1)Designers' Guide to EN 1993-1-1, Ex 6.9 | RHS 200x100x16 | 174.3 kN·m | 174.305 kN·m | 0.00% |
P364 Ex4: base chi_LT using published SN002 inputsSCI P364, Example 4 | 457x191x82 UKB | 0.87 | 0.8752133 | 0.60% |
ⓘ SCI P364 Example 4, printed pp.36-38: UK National Annex and SN002 buckling inputs, with 1/sqrt(C1)=0.92. The comparison evaluates resistance using those inputs. | ||||
P364 Ex12: modified chi_LT using published P362 inputsSCI P364, Example 12 | 457x191x67 UKB | 1 | 0.9982698 | 0.17% |
ⓘ SCI P364 Example 12, printed pp.132-133: P362 buckling inputs, with 1/sqrt(C1)=0.75. The comparison evaluates resistance using those inputs. | ||||
Disclaimer: This verification page is provided for informative purposes only and does not constitute a guarantee of accuracy for all possible configurations. While we use automated verification checks to help find defects, no software is entirely free of defects. Engineers must exercise independent professional judgement and verify results through their own checks before relying on any output for design or construction decisions. AutoCalcs accepts no liability for errors, omissions, or any consequences arising from the use of this software.