Wide Flange Steel I Beam: W12 × 22

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 22
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 156 in4) for the W12 × 22 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress of steels can range from 1.015 × 104 to 2.970 × 105 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.

Note: The weight of the beam itself is not included in the calculation.

 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 22.0 4.08 × 10-6 10.0 30.0 5.57 × 10-6 13.7 40.0 7.42 × 10-6 18.3 50.0 9.28 × 10-6 22.8 60.0 1.11 × 10-5 27.4 70.0 1.30 × 10-5 31.9 80.0 1.48 × 10-5 36.5 90.0 1.67 × 10-5 41.1 100 1.86 × 10-5 45.6 200 3.71 × 10-5 91.3 300 5.57 × 10-5 137 400 7.42 × 10-5 183 500 9.28 × 10-5 228 600 1.11 × 10-4 274 700 1.30 × 10-4 319 800 1.48 × 10-4 365 900 1.67 × 10-4 411 1000 1.86 × 10-4 456 2000 3.71 × 10-4 913 3000 5.57 × 10-4 1370 4000 7.42 × 10-4 1830 5000 9.28 × 10-4 2280 6000 0.00111 2740 7000 0.00130 3190 8000 0.00148 3650 9000 0.00167 4110 1.00 × 104 0.00186 4560 2.00 × 104 0.00371 9130 3.00 × 104 0.00557 1.37 × 104 4.00 × 104 0.00742 1.83 × 104 5.00 × 104 0.00928 2.28 × 104 6.00 × 104 0.0111 2.74 × 104 7.00 × 104 0.0130 3.19 × 104 8.00 × 104 0.0148 3.65 × 104 9.00 × 104 0.0167 4.11 × 104 1.00 × 105 0.0186 4.56 × 104 2.00 × 105 0.0371 9.13 × 104 3.00 × 105 0.0557 1.37 × 105 4.00 × 105 0.0742 1.83 × 105 5.00 × 105 0.0928 2.28 × 105 6.00 × 105 0.111 2.74 × 105 6.51 × 105 0.121 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 22.0 3.15 × 10-5 27.9 30.0 4.30 × 10-5 38.0 40.0 5.73 × 10-5 50.7 50.0 7.16 × 10-5 63.4 60.0 8.59 × 10-5 76.1 70.0 1.00 × 10-4 88.7 80.0 1.15 × 10-4 101 90.0 1.29 × 10-4 114 100 1.43 × 10-4 127 200 2.86 × 10-4 254 300 4.30 × 10-4 380 400 5.73 × 10-4 507 500 7.16 × 10-4 634 600 8.59 × 10-4 761 700 0.00100 887 800 0.00115 1010 900 0.00129 1140 1000 0.00143 1270 2000 0.00286 2540 3000 0.00430 3800 4000 0.00573 5070 5000 0.00716 6340 6000 0.00859 7610 7000 0.0100 8870 8000 0.0115 1.01 × 104 9000 0.0129 1.14 × 104 1.00 × 104 0.0143 1.27 × 104 2.00 × 104 0.0286 2.54 × 104 3.00 × 104 0.0430 3.80 × 104 4.00 × 104 0.0573 5.07 × 104 5.00 × 104 0.0716 6.34 × 104 6.00 × 104 0.0859 7.61 × 104 7.00 × 104 0.100 8.87 × 104 8.00 × 104 0.115 1.01 × 105 9.00 × 104 0.129 1.14 × 105 1.00 × 105 0.143 1.27 × 105 2.00 × 105 0.286 2.54 × 105 2.34 × 105 0.336 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 22.0 5.04 × 10-4 112 30.0 6.87 × 10-4 152 40.0 9.16 × 10-4 203 50.0 0.00115 254 60.0 0.00137 304 70.0 0.00160 355 80.0 0.00183 406 90.0 0.00206 456 100 0.00229 507 200 0.00458 1010 300 0.00687 1520 400 0.00916 2030 500 0.0115 2540 600 0.0137 3040 700 0.0160 3550 800 0.0183 4060 900 0.0206 4560 1000 0.0229 5070 2000 0.0458 1.01 × 104 3000 0.0687 1.52 × 104 4000 0.0916 2.03 × 104 5000 0.115 2.54 × 104 6000 0.137 3.04 × 104 7000 0.160 3.55 × 104 8000 0.183 4.06 × 104 9000 0.206 4.56 × 104 1.00 × 104 0.229 5.07 × 104 2.00 × 104 0.458 1.01 × 105 3.00 × 104 0.687 1.52 × 105 4.00 × 104 0.916 2.03 × 105 5.00 × 104 1.15 2.54 × 105 5.86 × 104 1.34 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 22.0 0.00255 251 30.0 0.00348 342 40.0 0.00464 456 50.0 0.00580 570 60.0 0.00696 685 70.0 0.00812 799 80.0 0.00928 913 90.0 0.0104 1030 100 0.0116 1140 200 0.0232 2280 300 0.0348 3420 400 0.0464 4560 500 0.0580 5700 600 0.0696 6850 700 0.0812 7990 800 0.0928 9130 900 0.104 1.03 × 104 1000 0.116 1.14 × 104 2000 0.232 2.28 × 104 3000 0.348 3.42 × 104 4000 0.464 4.56 × 104 5000 0.580 5.70 × 104 6000 0.696 6.85 × 104 7000 0.812 7.99 × 104 8000 0.928 9.13 × 104 9000 1.04 1.03 × 105 1.00 × 104 1.16 1.14 × 105 2.00 × 104 2.32 2.28 × 105 2.60 × 104 3.02 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 22.0 0.00806 446 30.0 0.0110 608 40.0 0.0147 811 50.0 0.0183 1010 60.0 0.0220 1220 70.0 0.0257 1420 80.0 0.0293 1620 90.0 0.0330 1830 100 0.0367 2030 200 0.0733 4060 300 0.110 6080 400 0.147 8110 500 0.183 1.01 × 104 600 0.220 1.22 × 104 700 0.257 1.42 × 104 800 0.293 1.62 × 104 900 0.330 1.83 × 104 1000 0.367 2.03 × 104 2000 0.733 4.06 × 104 3000 1.10 6.08 × 104 4000 1.47 8.11 × 104 5000 1.83 1.01 × 105 6000 2.20 1.22 × 105 7000 2.57 1.42 × 105 8000 2.93 1.62 × 105 9000 3.30 1.83 × 105 1.00 × 104 3.67 2.03 × 105 1.46 × 104 5.37 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 22.0 0.0197 697 30.0 0.0268 951 40.0 0.0358 1270 50.0 0.0447 1580 60.0 0.0537 1900 70.0 0.0626 2220 80.0 0.0716 2540 90.0 0.0805 2850 100 0.0895 3170 200 0.179 6340 300 0.268 9510 400 0.358 1.27 × 104 500 0.447 1.58 × 104 600 0.537 1.90 × 104 700 0.626 2.22 × 104 800 0.716 2.54 × 104 900 0.805 2.85 × 104 1000 0.895 3.17 × 104 2000 1.79 6.34 × 104 3000 2.68 9.51 × 104 4000 3.58 1.27 × 105 5000 4.47 1.58 × 105 6000 5.37 1.90 × 105 7000 6.26 2.22 × 105 8000 7.16 2.54 × 105 9000 8.05 2.85 × 105 9370 8.39 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 22.0 0.0408 1000 30.0 0.0557 1370 40.0 0.0742 1830 50.0 0.0928 2280 60.0 0.111 2740 70.0 0.130 3190 80.0 0.148 3650 90.0 0.167 4110 100 0.186 4560 200 0.371 9130 300 0.557 1.37 × 104 400 0.742 1.83 × 104 500 0.928 2.28 × 104 600 1.11 2.74 × 104 700 1.30 3.19 × 104 800 1.48 3.65 × 104 900 1.67 4.11 × 104 1000 1.86 4.56 × 104 2000 3.71 9.13 × 104 3000 5.57 1.37 × 105 4000 7.42 1.83 × 105 5000 9.28 2.28 × 105 6000 11.1 2.74 × 105 6510 12.1 2.97 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 22.0 0.129 1780 30.0 0.176 2430 40.0 0.235 3250 50.0 0.293 4060 60.0 0.352 4870 70.0 0.411 5680 80.0 0.469 6490 90.0 0.528 7300 100 0.587 8110 200 1.17 1.62 × 104 300 1.76 2.43 × 104 400 2.35 3.25 × 104 500 2.93 4.06 × 104 600 3.52 4.87 × 104 700 4.11 5.68 × 104 800 4.69 6.49 × 104 900 5.28 7.30 × 104 1000 5.87 8.11 × 104 2000 11.7 1.62 × 105 2100 12.3 1.70 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 22.0 0.315 2790 30.0 0.430 3800 40.0 0.573 5070 50.0 0.716 6340 60.0 0.859 7610 70.0 1.00 8870 80.0 1.15 1.01 × 104 90.0 1.29 1.14 × 104 100 1.43 1.27 × 104 200 2.86 2.54 × 104 300 4.30 3.80 × 104 400 5.73 5.07 × 104 500 7.16 6.34 × 104 600 8.59 7.61 × 104 700 10.0 8.87 × 104 800 11.5 1.01 × 105 860 12.3 1.09 × 105
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 22.0 0.653 4020 30.0 0.891 5480 40.0 1.19 7300 50.0 1.48 9130 60.0 1.78 1.10 × 104 70.0 2.08 1.28 × 104 80.0 2.38 1.46 × 104 90.0 2.67 1.64 × 104 100 2.97 1.83 × 104 200 5.94 3.65 × 104 300 8.91 5.48 × 104 400 11.9 7.30 × 104 415 12.3 7.57 × 104
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 22.0 1.21 5470 30.0 1.65 7450 40.0 2.20 9940 50.0 2.75 1.24 × 104 60.0 3.30 1.49 × 104 70.0 3.85 1.74 × 104 80.0 4.40 1.99 × 104 90.0 4.95 2.24 × 104 100 5.50 2.48 × 104 200 11.0 4.97 × 104 224 12.3 5.56 × 104
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 22.0 2.06 7140 30.0 2.82 9740 40.0 3.75 1.30 × 104 50.0 4.69 1.62 × 104 60.0 5.63 1.95 × 104 70.0 6.57 2.27 × 104 80.0 7.51 2.60 × 104 90.0 8.45 2.92 × 104 100 9.38 3.25 × 104 131 12.3 4.26 × 104
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 22.0 3.31 9040 30.0 4.51 1.23 × 104 40.0 6.01 1.64 × 104 50.0 7.52 2.05 × 104 60.0 9.02 2.46 × 104 70.0 10.5 2.88 × 104 80.0 12.0 3.29 × 104 81.9 12.3 3.36 × 104
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 22.0 5.04 1.12 × 104 30.0 6.87 1.52 × 104 40.0 9.16 2.03 × 104 50.0 11.5 2.54 × 104 53.7 12.3 2.72 × 104
 Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 22.0 12.3 1.74 × 104 22.0 12.3 1.74 × 104