AISC 360-16 Verification
Benchmarking against AISC Design Examples v15.0 (Companion to the AISC Steel Construction Manual).
Verification Methodology
The AISC 360-16 design engine is verified against the AISC Design Examples v15.0 (Companion to the AISC Steel Construction Manual, 15th Edition).
- Resistance Checks: Verified against Chapter D (Tension), E (Compression), F (Flexure), G (Shear), and H (Combined Actions) using LRFD and ASD provisions.
- Section Classification: Automated slenderness checks for stiffened and unstiffened elements according to Table B4.1.
- Interaction: Validation of Equation H1-1a and H1-1b for members under combined axial force and biaxial bending.
Benchmark Results
| Description | Section | Expected | Result | Difference |
|---|---|---|---|---|
W18x50 flange class in flexure (compact)AISC Design Examples v15.0, Ex. F.1-1B | W18x50 | Compact | Compact | 0.00% |
W18x50 web class in flexure (compact)AISC Design Examples v15.0, Ex. F.1-1B | W18x50 | Compact | Compact | 0.00% |
W21x48 flange class in flexure (noncompact)AISC Design Examples v15.0, Ex. F.3B | W21x48 | Noncompact | Noncompact | 0.00% |
W21x48 web class in flexure (compact)AISC Design Examples v15.0, Ex. F.3B | W21x48 | Compact | Compact | 0.00% |
HSS10x6x3/16 flange class in flexure (noncompact)AISC Design Examples v15.0, Ex. F.7B | HSS10x6x3/16 | Noncompact | Noncompact | 0.00% |
HSS10x6x3/16 web class in flexure (compact)AISC Design Examples v15.0, Ex. F.7B | HSS10x6x3/16 | Compact | Compact | 0.00% |
HSS8x8x3/16 flange class in flexure (slender)AISC Design Examples v15.0, Ex. F.8B | HSS8x8x3/16 | Slender | Slender | 0.00% |
HSS8x8x3/16 web class in flexure (compact)AISC Design Examples v15.0, Ex. F.8B | HSS8x8x3/16 | Compact | Compact | 0.00% |
Pipe 8 x-Strong CHS overall class (compact)AISC Design Examples v15.0, Ex. F.9B | Pipe 8 x-Strong | Compact | Compact | 0.00% |
WT5x6 flange class in flexure (noncompact)AISC Design Examples v15.0, Ex. F.10 | WT5x6 | Noncompact | Noncompact | 0.00% |
WT5x6 stem class in flexure (noncompact)AISC Design Examples v15.0, Ex. F.10 | WT5x6 | Noncompact | Noncompact | 0.00% |
L4x4x1/4 overall class in flexure (noncompact)AISC Design Examples v15.0, Ex. F.11A | L4x4x1/4 | Noncompact | Noncompact | 0.00% |
C15x33.9 flange class in flexure (compact)AISC Design Examples v15.0, Ex. F.2-1B | C15x33.9 | Compact | Compact | 0.00% |
C15x33.9 web class in flexure (compact)AISC Design Examples v15.0, Ex. F.2-1B | C15x33.9 | Compact | Compact | 0.00% |
Tension yielding phitPn LRFD (W8x21)AISC Design Examples v15.0, Ex. D.1 | W8x21 | 277 kips | 277.2 kips | 0.07% |
Tension yielding phitPn LRFD (HSS6x4x3/8)AISC Design Examples v15.0, Ex. D.4 | HSS6x4x3/8 | 278 kips | 278.1 kips | 0.04% |
Tension yielding phitPn LRFD (HSS6.000x0.500)AISC Design Examples v15.0, Ex. D.5 | HSS6.000x0.500 | 335 kips | 334.9 kips | 0.02% |
Tension yielding Pn/Omega ASD (HSS6.000x0.500)AISC Design Examples v15.0, Ex. D.5 | HSS6.000x0.500 | 223 kips | 222.8 kips | 0.09% |
Flexural yielding phibMn LRFD (W18x50)AISC Design Examples v15.0, Ex. F.1-1B | W18x50 | 379 kip-ft | 378.8 kip-ft | 0.07% |
Flexural yielding Mn/Omega ASD (W18x50)AISC Design Examples v15.0, Ex. F.1-1B | W18x50 | 252 kip-ft | 252 kip-ft | 0.00% |
Inelastic LTB Lp (W18x50)AISC Design Examples v15.0, Ex. F.1-2B | W18x50 | 69.9 in | 69.94 in | 0.05% |
Inelastic LTB Lr (W18x50)AISC Design Examples v15.0, Ex. F.1-2B | W18x50 | 203 in | 203.3 in | 0.17% |
Inelastic LTB Mn (W18x50, Lb=11.7ft, Cb=1.01)AISC Design Examples v15.0, Ex. F.1-2B | W18x50 | 4060 kip-in | 4066 kip-in | 0.16% |
Inelastic LTB phibMn LRFD (W18x50)AISC Design Examples v15.0, Ex. F.1-2B | W18x50 | 305 kip-ft | 305.0 kip-ft | 0.01% |
Flange local buckling Mn (W21x48, noncompact)AISC Design Examples v15.0, Ex. F.3B | W21x48 | 442 kip-ft | 442.1 kip-ft | 0.03% |
Flange local buckling phibMn LRFD (W21x48)AISC Design Examples v15.0, Ex. F.3B | W21x48 | 398 kip-ft | 397.9 kip-ft | 0.03% |
RHS FLB Mn (HSS10x6x3/16, noncompact)AISC Design Examples v15.0, Ex. F.7B | HSS10x6x3/16 | 796 kip-in | 796.2 kip-in | 0.03% |
RHS FLB Mn in kip-ft (HSS10x6x3/16)AISC Design Examples v15.0, Ex. F.7B | HSS10x6x3/16 | 66.4 kip-ft | 66.35 kip-ft | 0.07% |
RHS FLB phibMn LRFD (HSS10x6x3/16)AISC Design Examples v15.0, Ex. F.7B | HSS10x6x3/16 | 59.8 kip-ft | 59.7 kip-ft | 0.14% |
CHS yielding phibMn LRFD (Pipe 8 x-Strong)AISC Design Examples v15.0, Ex. F.9B | Pipe 8 x-Strong | 81.4 kip-ft | 81.38 kip-ft | 0.03% |
CHS yielding Mn/Omega ASD (Pipe 8 x-Strong)AISC Design Examples v15.0, Ex. F.9B | Pipe 8 x-Strong | 54.1 kip-ft | 54.14 kip-ft | 0.08% |
Tee bending F9, Mn stem in tension (WT5x6)AISC Design Examples v15.0, Ex. F.10 | WT5x6 | 97.6 kip-in | 97.2 kip-in | 0.40% |
Tee bending phibMn LRFD (WT5x6)AISC Design Examples v15.0, Ex. F.10 | WT5x6 | 7.32 kip-ft | 7.29 kip-ft | 0.40% |
Channel yielding Mn (C15x33.9)AISC Design Examples v15.0, Ex. F.2-1B | C15x33.9 | 1829 kip-in | 1828.8 kip-in | 0.01% |
Channel yielding phibMn LRFD (C15x33.9)AISC Design Examples v15.0, Ex. F.2-1B | C15x33.9 | 137 kip-ft | 137.2 kip-ft | 0.12% |
Channel inelastic LTB Lp (C15x33.9)AISC Design Examples v15.0, Ex. F.2-2B | C15x33.9 | 45 in | 45.01 in | 0.02% |
Channel inelastic LTB Mn (C15x33.9, Lb=5ft)AISC Design Examples v15.0, Ex. F.2-2B | C15x33.9 | 1740 kip-in | 1739.5 kip-in | 0.03% |
Channel inelastic LTB phibMn LRFD (C15x33.9)AISC Design Examples v15.0, Ex. F.2-2B | C15x33.9 | 131 kip-ft | 130.5 kip-ft | 0.41% |
Elastic LTB Mn (W18x50, Lb=17.5ft, Cb=1.30)AISC Design Examples v15.0, Ex. F.1-3B | W18x50 | 3840 kip-in | 3838 kip-in | 0.06% |
Elastic LTB phibMn LRFD (W18x50)AISC Design Examples v15.0, Ex. F.1-3B | W18x50 | 288 kip-ft | 287.8 kip-ft | 0.06% |
Minor axis bending phibMn LRFD (W12x58)AISC Design Examples v15.0, Ex. F.5 | W12x58 | 122 kip-ft | 121.9 kip-ft | 0.10% |
Flexural buckling utilization LRFD (W14x132, y-y)AISC Design Examples v15.0, Ex. E.1C | W14x132 | 0.942 | 0.940 | 0.13% |
Flexural buckling phicPn LRFD (W14x132, y-y, KL=30ft)AISC Design Examples v15.0, Ex. E.1C | W14x132 | 892 kips | 893 kips | 0.13% |
Flexural buckling Pn/Omega ASD (W14x132, y-y)AISC Design Examples v15.0, Ex. E.1C | W14x132 | 598 kips | 594 kips | 0.62% |
Flexural buckling phicPn LRFD (W14x90, x-x)AISC Design Examples v15.0, Ex. E.1D | W14x90 | 927 kips | 927.5 kips | 0.05% |
KL/r ratio (W14x90, x-x)AISC Design Examples v15.0, Ex. E.1D | W14x90 | 58.6 | 58.63 | 0.05% |
Elastic buckling stress Fe (W14x90)AISC Design Examples v15.0, Ex. E.1D | W14x90 | 83.3 ksi | 83.26 ksi | 0.05% |
Critical stress Fcr (W14x90)AISC Design Examples v15.0, Ex. E.1D | W14x90 | 38.9 ksi | 38.89 ksi | 0.03% |
RHS flexural buckling phicPn LRFD (HSS12x10x3/8)AISC Design Examples v15.0, Ex. E.9 | HSS12x10x3/8 | 556 kips | 555.6 kips | 0.07% |
RHS KL/r ratio (HSS12x10x3/8)AISC Design Examples v15.0, Ex. E.9 | HSS12x10x3/8 | 47.9 | 47.88 | 0.04% |
RHS elastic buckling stress Fe (HSS12x10x3/8)AISC Design Examples v15.0, Ex. E.9 | HSS12x10x3/8 | 125 ksi | 124.8 ksi | 0.12% |
CHS flexural buckling phicPn LRFD (Pipe 10 Std)AISC Design Examples v15.0, Ex. E.11 | Pipe 10 Std | 221 kips | 222.0 kips | 0.44% |
CHS KL/r ratio (Pipe 10 Std)AISC Design Examples v15.0, Ex. E.11 | Pipe 10 Std | 97.8 | 97.83 | 0.03% |
Tee flexural buckling phicPn LRFD (WT7x34, x-x)AISC Design Examples v15.0, Ex. E.7 | WT7x34 | 128 kips | 128.5 kips | 0.38% |
Tee flexural-torsional buckling phicPn LRFD (WT7x34)AISC Design Examples v15.0, Ex. E.7 | WT7x34 | 221 kips | 221.5 kips | 0.22% |
Shear area Aw (W24x62)AISC Design Examples v15.0, Ex. G.1B | W24x62 | 10.2 in² | 10.19 in² | 0.09% |
Shear phivVn LRFD (W24x62)AISC Design Examples v15.0, Ex. G.1B | W24x62 | 306 kips | 305.7 kips | 0.09% |
Shear Vn/Omega ASD (W24x62)AISC Design Examples v15.0, Ex. G.1B | W24x62 | 204 kips | 203.8 kips | 0.09% |
CHS shear phivVn LRFD (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 213 kips | 213.6 kips | 0.29% |
CHS shear Fcr_2a (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 112 ksi | 112.4 ksi | 0.38% |
CHS shear Fcr_2b (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 73.0 ksi | 72.98 ksi | 0.03% |
CHS shear Fcr governing (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 27.6 ksi | 27.6 ksi | 0.00% |
CHS shear Vn (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 237 kips | 237.4 kips | 0.15% |
CHS shear Vn/Omega ASD (HSS16.000x0.375)AISC Design Examples v15.0, Ex. G.5 | HSS16.000x0.375 | 142 kips | 142.1 kips | 0.09% |
RHS shear phivVn LRFD (HSS6x4x3/8)AISC Design Examples v15.0, Ex. G.4 | HSS6x4x3/8 | 93.6 kips | 93.3 kips | 0.27% |
Angle shear phivVn LRFD (L5x3x1/4)AISC Design Examples v15.0, Ex. G.3 | L5x3x1/4 | 24.3 kips | 24.3 kips | 0.00% |
Angle shear area Aw (L5x3x1/4)AISC Design Examples v15.0, Ex. G.3 | L5x3x1/4 | 1.25 in² | 1.25 in² | 0.00% |
Cb center segment, UDL, third-point bracing (W18x50)AISC Design Examples v15.0, Ex. F.1-2B | W18x50 | 1.01 | 1.01 | 0.36% |
Interaction H1-1a Pr/Pc (W14x99)AISC Design Examples v15.0, Ex. H.1B | W14x99 | 0.354 | 0.354 | 0.00% |
Biaxial compression + bending H1-1a ratio (W14x99)AISC Design Examples v15.0, Ex. H.1B | W14x99 | 0.928 | 0.929 | 0.08% |
Tee FTB governs over FB (WT7x15, KL=20ft)AISC Design Examples v15.0, Ex. E.8 | WT7x15 | 36.6 kips | 36.8 kips | 0.41% |
Slender RHS compression with Q<1.0 (HSS12x8x3/16, KL=24ft)AISC Design Examples v15.0, Ex. E.10 | HSS12x8x3/16 | 151 kips | 152.4 kips | 0.90% |
ⓘ Engine uses simplified effective width for slender element Q-factor computation. Textbook uses full iterative approach per E7. | ||||
Channel strong-axis shear φv=0.90 (C15x33.9)AISC Design Examples v15.0, Ex. G.2B | C15x33.9 | 117 kips | 116.6 kips | 0.31% |
Weak-axis shear (W21x48, flange shear)AISC Design Examples v15.0, Ex. G.6 | W21x48 | 189 kips | 189 kips | 0.01% |
Channel weak-axis shear (C9x20)AISC Design Examples v15.0, Ex. G.7 | C9x20 | 42.6 kips | 42.6 kips | 0.11% |
Tension + biaxial bending H1-1b (W14x82)AISC Design Examples v15.0, Ex. H.3 | W14x82 | 0.873 | 0.873 | 0.02% |
Compression + biaxial bending H1-1b with P-δ (W10x33)AISC Design Examples v15.0, Ex. H.4 | W10x33 | 0.979 | 0.979 | 0.01% |
Plate girder F4 noncompact web φbMn LRFD (PL2×14 flanges + PL½×62 web, Lb=150in, Cb=1.25)AISC Design Examples v15.0, Ex. F.15 | Built-up I | 94,554 kip-in | 94,741 kip-in | 0.20% |
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.