Eurocode 3 Verification

Published Eurocode worked examples, with SCI SN002/P362 calculation inputs reproduced for the corresponding component checks.

Open Eurocode 3 Calculator · Full-page verification report

Displayed comparisons
95
75 published numeric; 20 classification
Avg Difference
0.44%
published numerical comparisons
Check Types
7
verification categories
Section Types
6
section families

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

Demand rows compare AutoCalcs to a published number. Capacity-check rows are labelled as a split, not scored as a percent fail.

IDDescriptionSectionExpectedResultDiff %
EC3-01
406x178x54 UB flange class (pure bending)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 1Class 1Match
EC3-02
406x178x54 UB web class (pure bending)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 1Class 1Match
EC3-03
406x178x54 UB overall class (pure bending)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 1Class 1Match
EC3-04
406x178x54 UB flange class (pure compression, N=300kN)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 1Class 1Match
EC3-05
406x178x54 UB web class (pure compression, N=300kN)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 4Class 4Match
Pure compression, N=300 kN. Designers' Guide Example 5.1, printed p.33 (PDF p.39): reference classification is Class 4.
EC3-06
406x178x54 UB overall class (pure compression, N=300kN)
Designers' Guide to EN 1993-1-1, Ex 5.1
406x178x54 UBClass 4Class 4Match
Pure compression, N=300 kN. Designers' Guide Example 5.1, printed p.33 (PDF p.39): reference classification is Class 4.
EC3-07
254x254x73 UC flange class (pure compression)
Designers' Guide to EN 1993-1-1, Ex 6.2
254x254x73 UCClass 2Class 2Match
EC3-08
254x254x73 UC overall class
Designers' Guide to EN 1993-1-1, Ex 6.2
254x254x73 UCClass 2Class 2Match
EC3-09
229x89 Channel flange class
Designers' Guide to EN 1993-1-1, Ex 6.4
229x89 ChannelClass 1Class 1Match
EC3-10
229x89 Channel web class
Designers' Guide to EN 1993-1-1, Ex 6.4
229x89 ChannelClass 1Class 1Match
EC3-11
229x89 Channel overall class
Designers' Guide to EN 1993-1-1, Ex 6.4
229x89 ChannelClass 1Class 1Match
EC3-12
CHS 244.5x10 overall class
Designers' Guide to EN 1993-1-1, Ex 6.7
CHS 244.5x10Class 1Class 1Match
EC3-13
RHS 200x100x16 flange class
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x16Class 1Class 1Match
EC3-14
RHS 200x100x16 web class
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x16Class 1Class 1Match
EC3-15
RHS 200x100x16 overall class
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x16Class 1Class 1Match
EC3-27
CHS 244.5x10 λ_bar
Designers' Guide to EN 1993-1-1, Ex 6.7
CHS 244.5x100.560.55535170.83%
EC3-28
CHS 244.5x10 χ (curve a)
Designers' Guide to EN 1993-1-1, Ex 6.7
CHS 244.5x100.910.90615150.42%
EC3-29
CHS 244.5x10 Nb,Rd
Designers' Guide to EN 1993-1-1, Ex 6.7
CHS 244.5x101836.5 kN1836.543 kN0.00%
EC3-32
H 305x305x240 λ_bar_y
Designers' Guide to EN 1993-1-1, Ex 6.10
H 305x305x2400.230.23380151.65%
Textbook rounds λ̄ to 2 decimal places. AutoCalcs retains full precision from section property calculations.
EC3-33
H 305x305x240 χ_y (curve b)
Designers' Guide to EN 1993-1-1, Ex 6.10
H 305x305x2400.990.98799720.20%
EC3-35
H 305x305x240 λ_bar_z
Designers' Guide to EN 1993-1-1, Ex 6.10
H 305x305x2400.590.59382960.65%
EC3-36
H 305x305x240 χ_z (curve c)
Designers' Guide to EN 1993-1-1, Ex 6.10
H 305x305x2400.790.78903580.12%
EC3-38
RHS 200x100x16 λ_bar_y
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x161.421.4155340.31%
EC3-39
RHS 200x100x16 χ_y (curve a)
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x160.410.41039540.10%
EC3-41
RHS 200x100x16 λ_bar_z
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x160.840.84493490.59%
EC3-42
RHS 200x100x16 χ_z (curve a)
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x160.770.76904040.12%
EC3-43
UC 203x203x46 λ_bar_y
Worked Examples in EC3 & EC4
UC 203x203x460.650.65299260.46%
EC3-44
UC 203x203x46 χ_y (curve b)
Worked Examples in EC3 & EC4
UC 203x203x460.810.80957630.05%
EC3-45
UC 203x203x46 λ_bar_z
Worked Examples in EC3 & EC4
UC 203x203x460.560.56134450.24%
EC3-46
UC 203x203x46 χ_z (curve c)
Worked Examples in EC3 & EC4
UC 203x203x460.810.80805280.24%
EC3-47
UB 762x267x173 Mcr Segment CD
Designers' Guide to EN 1993-1-1
UB 762x267x1734311 kN·m4311.378 kN·m0.01%
EC3-48
UB 762x267x173 λ_LT Segment CD
Designers' Guide to EN 1993-1-1
UB 762x267x1730.630.62875880.20%
EC3-49
UB 762x267x173 χ_LT Segment CD (general)
Designers' Guide to EN 1993-1-1
UB 762x267x1730.820.82236620.29%
EC3-50
UB 762x267x173 λ_LT Segment BC
Designers' Guide to EN 1993-1-1
UB 762x267x1730.550.54687070.57%
EC3-51
UB 762x267x173 χ_LT Segment BC (general)
Designers' Guide to EN 1993-1-1
UB 762x267x1730.860.8628470.33%
EC3-52
UB 762x267x173 Mb,Rd Segment BC
Designers' Guide to EN 1993-1-1
UB 762x267x1731469 kN·m1470.68 kN·m0.11%
EC3-53
UB 457x191x82 λ_LT
Designers' Guide to EN 1993-1-1
UB 457x191x820.640.64089310.14%
EC3-54
UB 457x191x82 χ_LT (general)
Designers' Guide to EN 1993-1-1
UB 457x191x820.820.81600880.49%
EC3-55
UB 457x191x82 Mb,Rd
Designers' Guide to EN 1993-1-1
UB 457x191x82411 kN·m410.8808 kN·m0.03%
EC3-56
UC 203x203x46 Cl.6.3.3 ratio (Annex B)
Worked Examples in EC3 & EC4
UC 203x203x460.510.50300791.37%
Interaction factors kyy, kzy computed with full precision vs textbook's 2 d.p. rounding of intermediate χ and λ̄ values.
EC3-57
H 305x305x240 Cl.6.3.3 ratio (Annex B)
Designers' Guide to EN 1993-1-1, Ex 6.10
H 305x305x2400.970.96670590.34%
EC3-58
RHS 200x100x16 Cl.6.3.3 ratio (Annex B)
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x160.940.94686660.73%
EC3-73
P364 Ex3: 457x191x67 Mcr uniform
SCI P364, Example 3
457x191x67 UKB134.2 kN·m133.6687 kN·m0.40%
EC3-74
P364 Ex3: 457x191x67 Mcr with C1=2.65
SCI P364, Example 3
457x191x67 UKB355.7 kN·m354.222 kN·m0.42%
EC3-75
P364 Ex3: 457x191x67 λ_LT
SCI P364, Example 3
457x191x67 UKB1.071.0682850.16%
EC3-76
P364 Ex3: 457x191x67 χ_LT base
SCI P364, Example 3
457x191x67 UKB0.600.59836060.27%
EC3-77
P364 Ex3: 457x191x67 f factor
SCI P364, Example 3
457x191x67 UKB0.830.8330710.37%
EC3-78
P364 Ex3: 457x191x67 χ_LT,mod
SCI P364, Example 3
457x191x67 UKB0.720.71825890.24%
EC3-79
P364 Ex3: 457x191x67 Mb,Rd
SCI P364, Example 3
457x191x67 UKB291 kN·m290.3561 kN·m0.22%
EC3-80
P364 Ex3: 457x191x67 MEd/Mb,Rd
SCI P364, Example 3
457x191x67 UKB0.890.8954520.61%
EC3-81
P364 Ex5: 305x305x97 UKC flange class
SCI P364, Example 5
305x305x97 UKCClass 3Class 3Match
EC3-82
P364 Ex5: 305x305x97 UKC web class
SCI P364, Example 5
305x305x97 UKCClass 1Class 1Match
EC3-83
P364 Ex5: 305x305x97 UKC overall class
SCI P364, Example 5
305x305x97 UKCClass 3Class 3Match
EC3-88
P364 Ex5: 305x305x97 Mcr uniform
SCI P364, Example 5
305x305x97 UKC460.5 kN·m461.4376 kN·m0.20%
EC3-89
P364 Ex5: 305x305x97 Mcr with C1=1.32
SCI P364, Example 5
305x305x97 UKC607.7 kN·m609.0976 kN·m0.23%
EC3-90
P364 Ex5: 305x305x97 λ_LT
SCI P364, Example 5
305x305x97 UKC0.920.91929460.08%
EC3-91
P364 Ex5: 305x305x97 χ_LT base
SCI P364, Example 5
305x305x97 UKC0.740.74853281.15%
AutoCalcs uses continuous LTB curve formula; textbook rounds intermediate Φ_LT to 2 d.p.
EC3-92
P364 Ex5: 305x305x97 χ_LT,mod
SCI P364, Example 5
305x305x97 UKC0.790.79898891.14%
The source rounds the intermediate Phi_LT to two decimal places; this rounding also affects the modified lateral-torsional buckling factor.
EC3-93
P364 Ex5: 305x305x97 Mb,Rd
SCI P364, Example 5
305x305x97 UKC407 kN·m411.2795 kN·m1.05%
The difference in bending resistance follows from rounding of the source lateral-torsional buckling factors.
EC3-94
P364 Ex5: 305x305x97 MEd/Mb,Rd
SCI P364, Example 5
305x305x97 UKC0.810.8023740.94%
EC3-95
P364 Ex9: 356x368x129 UKC flange class
SCI P364, Example 9
356x368x129 UKCClass 3Class 3Match
EC3-96
P364 Ex9: 356x368x129 UKC overall class
SCI P364, Example 9
356x368x129 UKCClass 3Class 3Match
EC3-99
P364 Ex9: 356x368x129 λ_bar_z
SCI P364, Example 9
356x368x129 UKC0.820.82089870.11%
EC3-100
P364 Ex9: 356x368x129 χ_z
SCI P364, Example 9
356x368x129 UKC0.650.64903630.15%
EC3-101
P364 Ex9: 356x368x129 Nb,Rd
SCI P364, Example 9
356x368x129 UKC3678 kN3672.247 kN0.16%
EC3-103
P364 Ex10: 305x305x97 λ_bar_y
SCI P364, Example 10
305x305x97 UKC0.5160.51576670.05%
EC3-104
P364 Ex10: 305x305x97 χ_y
SCI P364, Example 10
305x305x97 UKC0.870.87716470.82%
EC3-105
P364 Ex10: 305x305x97 Nb,y,Rd
SCI P364, Example 10
305x305x97 UKC2943 kN2967.01 kN0.82%
EC3-106
P364 Ex10: 305x305x97 λ_bar_z
SCI P364, Example 10
305x305x97 UKC0.4490.4487840.05%
EC3-107
P364 Ex10: 305x305x97 χ_z
SCI P364, Example 10
305x305x97 UKC0.880.8711971.00%
AutoCalcs uses continuous buckling curve c formula; textbook rounds intermediate Φ to 2 d.p.
EC3-109
P364 Ex4: modified chi_LT using published SN002 inputs
SCI P364, Example 4
457x191x82 UKB0.920.90917161.18%
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.
EC3-110
P364 Ex4: Mb,Rd using published SN002 inputs
SCI P364, Example 4
457x191x82 UKB463 kN·m457.7906 kN·m1.13%
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.
EC3-111
P364 Ex11: 203x203x46 χ_y
SCI P364, Example 11
203x203x46 UKC0.800.80957631.20%
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.
EC3-112
P364 Ex11: 203x203x46 χ_z
SCI P364, Example 11
203x203x46 UKC0.470.4723160.49%
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.
EC3-113
P364 Ex11: 203x203x46 χ_LT
SCI P364, Example 11
203x203x46 UKC0.830.83609360.73%
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.
EC3-114
P364 Ex11: 203x203x46 Cl.6.3.3 combined ratio
SCI P364, Example 11
203x203x46 UKC0.980.99799791.84%
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.
EC3-115
P364 Ex12: 457x191x67 χ_y (S355)
SCI P364, Example 12
457x191x67 UKB0.940.94623210.66%
EC3-116
P364 Ex12: 457x191x67 χ_z (S355)
SCI P364, Example 12
457x191x67 UKB0.620.627091.14%
Textbook rounds intermediate Φ to 2 d.p. in buckling curve b; AutoCalcs retains full precision.
EC3-117
P364 Ex12: chi_LT using published P362 inputs
SCI P364, Example 12
457x191x67 UKB0.880.88298400.34%
SCI P364 Example 12, printed pp.132-133: P362 buckling inputs, with 1/sqrt(C1)=0.75. The comparison evaluates resistance using those inputs.
EC3-118
P364 Ex12: combined ratio using published modified chi_LT
SCI P364, Example 12
457x191x67 UKB0.880.87206520.90%
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.
EC3-119
EUR 22898 §16: Panel I plate slenderness (450×12, S355)
EUR 22898 EN, §16 (pp.182)
Plate panel 450×120.8110.81145260.06%
EC3-120
EUR 22898 §16: Panel I reduction factor ρ
EUR 22898 EN, §16 (pp.182)
Plate panel 450×120.8990.89824250.08%
EC3-121
EUR 22898 §16: Panel III plate slenderness (288×6, S355)
EUR 22898 EN, §16 (pp.182)
Plate panel 288×61.0381.0386590.06%
EC3-122
EUR 22898 §16: Panel III reduction factor ρ
EUR 22898 EN, §16 (pp.182)
Plate panel 288×60.7590.75885180.02%
EC3-123
EUR 22898 §15: Bottom flange plate slenderness (700×26, S420)
EUR 22898 EN, §15 (pp.174-178)
Plate panel 700×260.630.63367570.58%
EC3-124
EUR 22898 §15: Stiffener plate slenderness (350×8, S420)
EUR 22898 EN, §15 (pp.174-178)
Plate panel 350×81.031.0297230.03%
EC3-125
EUR 22898 §15: Stiffener reduction factor ρ
EUR 22898 EN, §15 (pp.174-178)
Plate panel 350×80.7630.76365220.09%
EC3-126
EUR 22898 §15: Inclined web plate slenderness (391×8, S420)
EUR 22898 EN, §15 (pp.174-178)
Plate panel 391×81.151.1503480.03%
EC3-127
EUR 22898 §15: Inclined web reduction factor ρ
EUR 22898 EN, §15 (pp.174-178)
Plate panel 391×80.7030.70305130.01%
EC3-129
EUR 22898 §15: ρ web bending at λp=1.07, ψ=−1.30
EUR 22898 EN, §15 (p.178)
Plate panel (bending)0.8530.85291290.01%
EC3-132
EUR 22898 §15.2: Stiffener ρ at λp=0.857
EUR 22898 EN, §15.2 (p.177)
Plate panel (stiffener)0.8680.86731690.08%
EC3-133
254x254x73 UC Compression Resistance Nc,Rd (S355)
Designers' Guide to EN 1993-1-1, Ex 6.2
254x254x73 UC3305 kN3305.05 kN0.00%
EC3-135
RHS 200x100x16 Bending Resistance Mc,Rd (S355, Class 1)
Designers' Guide to EN 1993-1-1, Ex 6.9
RHS 200x100x16174.3 kN·m174.305 kN·m0.00%
EC3-137
P364 Ex4: base chi_LT using published SN002 inputs
SCI P364, Example 4
457x191x82 UKB0.870.87521330.60%
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.
EC3-139
P364 Ex12: modified chi_LT using published P362 inputs
SCI P364, Example 12
457x191x67 UKB10.99826980.17%
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.