CSA S16-19 Verification
Benchmarking against S-FRAME CSA S16-14 Examples, STAAD.Pro CSA S16-19 Verification, and Kulak & Grondin textbook examples.
Benchmarks
50
test cases
Avg Difference
0.16%
vs. reference
Check Types
6
categories
Section Types
6
shapes tested
Methodology
The CSA S16 design engine is benchmarked against three independent reference sources: S-FRAME CSA S16-14 Design Examples, STAAD.Pro CSA S16-19 Verification Manual, and Kulak & Grondin, “Limit States Design in Structural Steel” (8th Ed, CISC 2006).
- Standard Adherence: Logic follows CSA S16:19 (and S16-14) for all member resistance and stability checks.
- Automated Testing: Over 160 unit tests covering cross-section classification, member capacity, and combined effects.
- Industry Cross-Check: Results compared against major FEA packages to ensure consistent and reliable design outputs.
- Textbook Verification: 17 additional benchmarks from a university-level structural steel design textbook, covering compression (short/intermediate/slender/built-up/WWF/FTB), tension, flexure, LTB (elastic and inelastic), and beam-column interaction.
Benchmark Results
Each row compares an engine result against a published reference value. The difference column shows the percentage deviation.
| ID | Description | Section | Expected | Result | Diff % |
|---|---|---|---|---|---|
| CSA-S16-01 | Major-axis compression resistance (W360x134, KL=9000) | W360x134 | 3940 kN | 3955 kN | 0.38% |
| CSA-S16-02 | HSS compression resistance (HSS305x203x9.5, K=0.8, L=6000) | HSS305x203x9.5 | 2116 kN | 2114 kN | 0.08% |
| CSA-S16-03 | Lambda intermediate (HSS305x203x9.5) | HSS305x203x9.5 | 0.772 | 0.771 | 0.11% |
| CSA-S16-04 | Minor-axis compression governs (W360x196, KL=9000) | W360x196 | 3608 kN | 3602 kN | 0.16% |
| CSA-S16-05 | Tension yield resistance, no bolt holes (W200x31) | W200x31 | 1250.6 kN | 1250.6 kN | 0.00% |
| CSA-S16-06 | Tension yield resistance (L102x102x13, Fy=300) | L102x102x13 | 653.4 kN | 653.4 kN | 0.00% |
| CSA-S16-07 | Tension rupture with bolt holes (W200x31, An=3113, Fu=450) | W200x31 | 1050 kN | 1051 kN | 0.06% |
| CSA-S16-08 | Tension rupture with shear lag (L102x102x13, Ane=1717) | L102x102x13 | 579.5 kN | 579.5 kN | 0.00% |
| CSA-S16-19 | Classification WT180x22.5 Class 4, slender stem | WT180x22.5 | Class 4 | Class 4 | 0.00% |
| CSA-S16-20 | Classification WT180x50.5 non-slender (Class 3) | WT180x50.5 | Class 3 | Class 3 | 0.00% |
| CSA-S16-21 | Flexural resistance, Class 1 continuously braced (W460x74) | W460x74 | 512.3 kNm | 512.3 kNm | 0.00% |
| CSA-S16-22 | Flexural resistance, Class 3 channel (C380x50) | C380x50 | 216.4 kNm | 216.4 kNm | 0.00% |
| CSA-S16-23 | Flexural resistance, Class 3 (W530x72) | W530x72 | 475.1 kNm | 475.1 kNm | 0.01% |
| CSA-S16-24 | Flexural resistance, Class 2 HSS (HSS254x152x4.8) | HSS254x152x4.8 | 99.9 kNm | 99.9 kNm | 0.05% |
| CSA-S16-25 | LTB resistance, braced at third points (W460x74, Lb=3333) | W460x74 | 467.9 kNm | 467.9 kNm | 0.00% |
| CSA-S16-26 | Mu intermediate (W460x74, Lb=3333) | W460x74 | 744.5 kNm | 744.5 kNm | 0.01% |
| CSA-S16-27 | LTB resistance, Class 3, top-flange loading (W250x49, Lb=5160) | W250x49 | 147 kNm | 146.6 kNm | 0.29% |
| CSA-S16-28 | Shear resistance W-shape (W610x92) | W610x92 | 1366 kN | 1366 kN | 0.03% |
| CSA-S16-29 | Shear resistance channel (C250x37) | C250x37 | 606.5 kN | 606.5 kN | 0.00% |
| CSA-S16-30 | Shear resistance RHS (HSS152x102x9.5) | HSS152x102x9.5 | 451 kN | 451 kN | 0.06% |
| CSA-S16-31 | Shear resistance W-shape STAAD (W530x82) | W530x82 | 1043 kN | 1043 kN | 0.02% |
| CSA-S16-32 | ω2 center segment, UDL braced at thirds (W460x74) | W460x74 | 1.01 | 1.01 | 0.41% |
| CSA-S16-33 | ω2 end segment, UDL braced at thirds (W460x74) | W460x74 | 1.51 | 1.51 | 0.30% |
| CSA-S16-35 | Interaction Cf/Cr + Mfx/Mrx + Mfy/Mry (W360x147) | W360x147 | 0.957 | 0.957 | 0.02% |
| CSA-S16-36 | Cross-section interaction ratio (W250x49, U1x=1.013) | W250x49 | 0.812 | 0.812 | 0.06% |
| CSA-S16-37 | Overall member interaction ratio (W250x49) | W250x49 | 0.860 | 0.860 | 0.04% |
| CSA-S16-38 | LTB strength interaction ratio (W250x49, Mr_ltb=147) | W250x49 | 0.965 | 0.965 | 0.09% |
| CSA-S16-39 | Compression major axis, short member STAAD (W250x73, L=1100) | W250x73 | 2914 kN | 2913 kN | 0.02% |
| CSA-S16-40 | Compression minor axis, short member STAAD (W250x73, L=1100) | W250x73 | 2884 kN | 2883 kN | 0.03% |
| CSA-S16-41 | Tee flexural X-axis compression (WT180x50.5, L=6000) | WT180x50.5 | 581.6 kN | 579.9 kN | 0.29% |
| CSA-S16-42 | Fe_x intermediate (WT180x50.5, KL/rx=130) | WT180x50.5 | 116.8 MPa | 116.5 MPa | 0.23% |
| CSA-S16-46 | Effective area for Class 4 slender stem (WT180x22.5) | WT180x22.5 | 2511 mm² | 2511 mm² | 0.01% |
| CSA-S16-47 | FTB compression with Class 4 Ae (WT180x22.5, L=6000) | WT180x22.5 | 154 kN | 154 kN | 0.01% |
| CSA-S16-48 | Compression slender column KL/ry=170 (W250x73, L=11000) | W250x73 | 529 kN | 525 kN | 0.67% |
| CSA-S16-49 | Compression intermediate column KL/ry=94 (W250x73, L=6100) | W250x73 | 1350 kN | 1339 kN | 0.83% |
| CSA-S16-50 | Compression built-up column, major axis governs (W310x283 + plates) | W310x283 built-up | 14000 kN | 14062 kN | 0.44% |
| CSA-S16-51 | Compression double angle KL/ry=134 (2L89x64x9.5, Fy=300) | 2L89x64x9.5 | 226 kN | 226.3 kN | 0.12% |
| CSA-S16-52 | Compression WWF n=2.24 curve, KL/ry=27 (WWF500x456, Fy=300) | WWF500x456 | 15700 kN | 15665 kN | 0.23% |
| CSA-S16-53 | Flexural-torsional buckling, singly symmetric built-up section | Built-up (singly sym.) | 1690 kN | 1694 kN | 0.22% |
| Only independent FTB test in the suite. Verifies the quadratic Fe formula (Cl. 13.3.2) with textbook intermediates: ro²=32940, H=0.739, Fey=395, Fez=318, Fe=232 MPa. | |||||
| CSA-S16-54 | Tension yield, welded double angle (2L76x64x9.5, Fy=300) | 2L76x64x9.5 | 670 kN | 669.6 kN | 0.06% |
| CSA-S16-56 | Flexural resistance, Class 2 beam (W310x52, Zx=841×10³) | W310x52 | 265 kNm | 264.9 kNm | 0.03% |
| CSA-S16-57 | Flexural resistance, Class 2 beam (W530x82, Zx=2060×10³) | W530x82 | 649 kNm | 648.9 kNm | 0.02% |
| CSA-S16-58 | LTB elastic regime, Mu < 0.67Mp (W310x52, L=7300) | W310x52 | 100 kNm | 100.3 kNm | 0.27% |
| CSA-S16-59 | LTB inelastic regime, Mu > 0.67Mp (W310x79, L=7300) | W310x79 | 297 kNm | 296.6 kNm | 0.15% |
| CSA-S16-60 | LTB with ω2=1.69, capped by section capacity (W530x82, L=2500) | W530x82 | 649 kNm | 648.9 kNm | 0.02% |
| CSA-S16-61 | Cross-section strength check, Cf=900 kN, Mfx=180 kNm (W250x73) | W250x73 | 0.80 | 0.80 | 0.22% |
| CSA-S16-62 | In-plane member check, equal end moments, U1x=1.06 (W250x73) | W250x73 | 0.85 | 0.86 | 0.76% |
| CSA-S16-63 | In-plane member check, moment at one end, U1x=0.63 (W250x73) | W250x73 | 0.64 | 0.64 | 0.67% |
| CSA-S16-64 | Out-of-plane LTB check, laterally unbraced, U1x=1.06 (W250x73) | W250x73 | 0.93 | 0.93 | 0.24% |
| CSA-S16-65 | Out-of-plane check, moment at one end, ω2=1.75 (W250x73) | W250x73 | 0.90 | 0.90 | 0.29% |
Disclaimer: This verification page is provided for informative purposes only and does not constitute a guarantee of accuracy for all possible configurations. While we strive to ensure the correctness of our calculations through rigorous benchmarking, 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.