Wide Flange Steel I Beam: W12 × 50

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 50
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 394 in4) for the W12 × 50 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 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 50.0 3.97 × 10-6 8.35 60.0 4.76 × 10-6 10.0 70.0 5.55 × 10-6 11.7 80.0 6.34 × 10-6 13.4 90.0 7.14 × 10-6 15.0 100 7.93 × 10-6 16.7 200 1.59 × 10-5 33.4 300 2.38 × 10-5 50.1 400 3.17 × 10-5 66.8 500 3.97 × 10-5 83.5 600 4.76 × 10-5 100 700 5.55 × 10-5 117 800 6.34 × 10-5 134 900 7.14 × 10-5 150 1000 7.93 × 10-5 167 2000 1.59 × 10-4 334 3000 2.38 × 10-4 501 4000 3.17 × 10-4 668 5000 3.97 × 10-4 835 6000 4.76 × 10-4 1000 7000 5.55 × 10-4 1170 8000 6.34 × 10-4 1340 9000 7.14 × 10-4 1500 1.00 × 104 7.93 × 10-4 1670 2.00 × 104 0.00159 3340 3.00 × 104 0.00238 5010 4.00 × 104 0.00317 6680 5.00 × 104 0.00397 8350 6.00 × 104 0.00476 1.00 × 104 7.00 × 104 0.00555 1.17 × 104 8.00 × 104 0.00634 1.34 × 104 9.00 × 104 0.00714 1.50 × 104 1.00 × 105 0.00793 1.67 × 104 2.00 × 105 0.0159 3.34 × 104 3.00 × 105 0.0238 5.01 × 104 4.00 × 105 0.0317 6.68 × 104 5.00 × 105 0.0397 8.35 × 104 6.00 × 105 0.0476 1.00 × 105 7.00 × 105 0.0555 1.17 × 105 8.00 × 105 0.0634 1.34 × 105 9.00 × 105 0.0714 1.50 × 105 1.00 × 106 0.0793 1.67 × 105 1.78 × 106 0.141 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 50.0 3.06 × 10-5 23.2 60.0 3.67 × 10-5 27.8 70.0 4.28 × 10-5 32.5 80.0 4.90 × 10-5 37.1 90.0 5.51 × 10-5 41.8 100 6.12 × 10-5 46.4 200 1.22 × 10-4 92.8 300 1.84 × 10-4 139 400 2.45 × 10-4 186 500 3.06 × 10-4 232 600 3.67 × 10-4 278 700 4.28 × 10-4 325 800 4.90 × 10-4 371 900 5.51 × 10-4 418 1000 6.12 × 10-4 464 2000 0.00122 928 3000 0.00184 1390 4000 0.00245 1860 5000 0.00306 2320 6000 0.00367 2780 7000 0.00428 3250 8000 0.00490 3710 9000 0.00551 4180 1.00 × 104 0.00612 4640 2.00 × 104 0.0122 9280 3.00 × 104 0.0184 1.39 × 104 4.00 × 104 0.0245 1.86 × 104 5.00 × 104 0.0306 2.32 × 104 6.00 × 104 0.0367 2.78 × 104 7.00 × 104 0.0428 3.25 × 104 8.00 × 104 0.0490 3.71 × 104 9.00 × 104 0.0551 4.18 × 104 1.00 × 105 0.0612 4.64 × 104 2.00 × 105 0.122 9.28 × 104 3.00 × 105 0.184 1.39 × 105 4.00 × 105 0.245 1.86 × 105 5.00 × 105 0.306 2.32 × 105 6.00 × 105 0.367 2.78 × 105 6.40 × 105 0.392 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 50.0 4.90 × 10-4 92.8 60.0 5.87 × 10-4 111 70.0 6.85 × 10-4 130 80.0 7.83 × 10-4 149 90.0 8.81 × 10-4 167 100 9.79 × 10-4 186 200 0.00196 371 300 0.00294 557 400 0.00392 743 500 0.00490 928 600 0.00587 1110 700 0.00685 1300 800 0.00783 1490 900 0.00881 1670 1000 0.00979 1860 2000 0.0196 3710 3000 0.0294 5570 4000 0.0392 7430 5000 0.0490 9280 6000 0.0587 1.11 × 104 7000 0.0685 1.30 × 104 8000 0.0783 1.49 × 104 9000 0.0881 1.67 × 104 1.00 × 104 0.0979 1.86 × 104 2.00 × 104 0.196 3.71 × 104 3.00 × 104 0.294 5.57 × 104 4.00 × 104 0.392 7.43 × 104 5.00 × 104 0.490 9.28 × 104 6.00 × 104 0.587 1.11 × 105 7.00 × 104 0.685 1.30 × 105 8.00 × 104 0.783 1.49 × 105 9.00 × 104 0.881 1.67 × 105 1.00 × 105 0.979 1.86 × 105 1.60 × 105 1.57 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 50.0 0.00248 209 60.0 0.00297 251 70.0 0.00347 292 80.0 0.00397 334 90.0 0.00446 376 100 0.00496 418 200 0.00991 835 300 0.0149 1250 400 0.0198 1670 500 0.0248 2090 600 0.0297 2510 700 0.0347 2920 800 0.0397 3340 900 0.0446 3760 1000 0.0496 4180 2000 0.0991 8350 3000 0.149 1.25 × 104 4000 0.198 1.67 × 104 5000 0.248 2.09 × 104 6000 0.297 2.51 × 104 7000 0.347 2.92 × 104 8000 0.397 3.34 × 104 9000 0.446 3.76 × 104 1.00 × 104 0.496 4.18 × 104 2.00 × 104 0.991 8.35 × 104 3.00 × 104 1.49 1.25 × 105 4.00 × 104 1.98 1.67 × 105 5.00 × 104 2.48 2.09 × 105 6.00 × 104 2.97 2.51 × 105 7.00 × 104 3.47 2.92 × 105 7.11 × 104 3.53 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 50.0 0.00783 371 60.0 0.00940 446 70.0 0.0110 520 80.0 0.0125 594 90.0 0.0141 668 100 0.0157 743 200 0.0313 1490 300 0.0470 2230 400 0.0627 2970 500 0.0783 3710 600 0.0940 4460 700 0.110 5200 800 0.125 5940 900 0.141 6680 1000 0.157 7430 2000 0.313 1.49 × 104 3000 0.470 2.23 × 104 4000 0.627 2.97 × 104 5000 0.783 3.71 × 104 6000 0.940 4.46 × 104 7000 1.10 5.20 × 104 8000 1.25 5.94 × 104 9000 1.41 6.68 × 104 1.00 × 104 1.57 7.43 × 104 2.00 × 104 3.13 1.49 × 105 3.00 × 104 4.70 2.23 × 105 4.00 × 104 6.27 2.97 × 105 4.00 × 104 6.27 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 50.0 0.0191 580 60.0 0.0229 696 70.0 0.0268 812 80.0 0.0306 928 90.0 0.0344 1040 100 0.0382 1160 200 0.0765 2320 300 0.115 3480 400 0.153 4640 500 0.191 5800 600 0.229 6960 700 0.268 8120 800 0.306 9280 900 0.344 1.04 × 104 1000 0.382 1.16 × 104 2000 0.765 2.32 × 104 3000 1.15 3.48 × 104 4000 1.53 4.64 × 104 5000 1.91 5.80 × 104 6000 2.29 6.96 × 104 7000 2.68 8.12 × 104 8000 3.06 9.28 × 104 9000 3.44 1.04 × 105 1.00 × 104 3.82 1.16 × 105 2.00 × 104 7.65 2.32 × 105 2.56 × 104 9.79 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 50.0 0.0397 835 60.0 0.0476 1000 70.0 0.0555 1170 80.0 0.0634 1340 90.0 0.0714 1500 100 0.0793 1670 200 0.159 3340 300 0.238 5010 400 0.317 6680 500 0.397 8350 600 0.476 1.00 × 104 700 0.555 1.17 × 104 800 0.634 1.34 × 104 900 0.714 1.50 × 104 1000 0.793 1.67 × 104 2000 1.59 3.34 × 104 3000 2.38 5.01 × 104 4000 3.17 6.68 × 104 5000 3.97 8.35 × 104 6000 4.76 1.00 × 105 7000 5.55 1.17 × 105 8000 6.34 1.34 × 105 9000 7.14 1.50 × 105 1.00 × 104 7.93 1.67 × 105 1.78 × 104 14.1 2.97 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 50.0 0.125 1490 60.0 0.150 1780 70.0 0.175 2080 80.0 0.201 2380 90.0 0.226 2670 100 0.251 2970 200 0.501 5940 300 0.752 8910 400 1.00 1.19 × 104 500 1.25 1.49 × 104 600 1.50 1.78 × 104 700 1.75 2.08 × 104 800 2.01 2.38 × 104 900 2.26 2.67 × 104 1000 2.51 2.97 × 104 2000 5.01 5.94 × 104 3000 7.52 8.91 × 104 4000 10.0 1.19 × 105 4860 12.2 1.44 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.306 2320 60.0 0.367 2780 70.0 0.428 3250 80.0 0.490 3710 90.0 0.551 4180 100 0.612 4640 200 1.22 9280 300 1.84 1.39 × 104 400 2.45 1.86 × 104 500 3.06 2.32 × 104 600 3.67 2.78 × 104 700 4.28 3.25 × 104 800 4.90 3.71 × 104 900 5.51 4.18 × 104 1000 6.12 4.64 × 104 1990 12.2 9.24 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 0.634 3340 60.0 0.761 4010 70.0 0.888 4680 80.0 1.02 5350 90.0 1.14 6010 100 1.27 6680 200 2.54 1.34 × 104 300 3.81 2.00 × 104 400 5.08 2.67 × 104 500 6.34 3.34 × 104 600 7.61 4.01 × 104 700 8.88 4.68 × 104 800 10.2 5.35 × 104 900 11.4 6.01 × 104 961 12.2 6.42 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 1.18 4550 60.0 1.41 5460 70.0 1.65 6370 80.0 1.88 7280 90.0 2.12 8190 100 2.35 9100 200 4.70 1.82 × 104 300 7.05 2.73 × 104 400 9.40 3.64 × 104 500 11.8 4.55 × 104 519 12.2 4.72 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 2.01 5940 60.0 2.41 7130 70.0 2.81 8320 80.0 3.21 9500 90.0 3.61 1.07 × 104 100 4.01 1.19 × 104 200 8.02 2.38 × 104 300 12.0 3.56 × 104 304 12.2 3.61 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 3.21 7520 60.0 3.85 9020 70.0 4.50 1.05 × 104 80.0 5.14 1.20 × 104 90.0 5.78 1.35 × 104 100 6.42 1.50 × 104 190 12.2 2.85 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 50.0 4.90 9280 60.0 5.87 1.11 × 104 70.0 6.85 1.30 × 104 80.0 7.83 1.49 × 104 90.0 8.81 1.67 × 104 100 9.79 1.86 × 104 124 12.2 2.31 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 50.0 12.0 1.45 × 104 51.0 12.2 1.48 × 104