Wide Flange Steel I Beam: W12 × 50

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 3.67 × 10-6 8.95 60.0 4.41 × 10-6 10.7 70.0 5.14 × 10-6 12.5 80.0 5.88 × 10-6 14.3 90.0 6.61 × 10-6 16.1 100 7.35 × 10-6 17.9 200 1.47 × 10-5 35.8 300 2.20 × 10-5 53.7 400 2.94 × 10-5 71.6 500 3.67 × 10-5 89.5 600 4.41 × 10-5 107 700 5.14 × 10-5 125 800 5.88 × 10-5 143 900 6.61 × 10-5 161 1000 7.35 × 10-5 179 2000 1.47 × 10-4 358 3000 2.20 × 10-4 537 4000 2.94 × 10-4 716 5000 3.67 × 10-4 895 6000 4.41 × 10-4 1070 7000 5.14 × 10-4 1250 8000 5.88 × 10-4 1430 9000 6.61 × 10-4 1610 1.00 × 104 7.35 × 10-4 1790 2.00 × 104 0.00147 3580 3.00 × 104 0.00220 5370 4.00 × 104 0.00294 7160 5.00 × 104 0.00367 8950 6.00 × 104 0.00441 1.07 × 104 7.00 × 104 0.00514 1.25 × 104 8.00 × 104 0.00588 1.43 × 104 9.00 × 104 0.00661 1.61 × 104 1.00 × 105 0.00735 1.79 × 104 2.00 × 105 0.0147 3.58 × 104 3.00 × 105 0.0220 5.37 × 104 4.00 × 105 0.0294 7.16 × 104 5.00 × 105 0.0367 8.95 × 104 6.00 × 105 0.0441 1.07 × 105 7.00 × 105 0.0514 1.25 × 105 8.00 × 105 0.0588 1.43 × 105 9.00 × 105 0.0661 1.61 × 105 1.00 × 106 0.0735 1.79 × 105 1.66 × 106 0.122 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 2.83 × 10-5 24.9 60.0 3.40 × 10-5 29.8 70.0 3.97 × 10-5 34.8 80.0 4.54 × 10-5 39.8 90.0 5.10 × 10-5 44.7 100 5.67 × 10-5 49.7 200 1.13 × 10-4 99.4 300 1.70 × 10-4 149 400 2.27 × 10-4 199 500 2.83 × 10-4 249 600 3.40 × 10-4 298 700 3.97 × 10-4 348 800 4.54 × 10-4 398 900 5.10 × 10-4 447 1000 5.67 × 10-4 497 2000 0.00113 994 3000 0.00170 1490 4000 0.00227 1990 5000 0.00283 2490 6000 0.00340 2980 7000 0.00397 3480 8000 0.00454 3980 9000 0.00510 4470 1.00 × 104 0.00567 4970 2.00 × 104 0.0113 9940 3.00 × 104 0.0170 1.49 × 104 4.00 × 104 0.0227 1.99 × 104 5.00 × 104 0.0283 2.49 × 104 6.00 × 104 0.0340 2.98 × 104 7.00 × 104 0.0397 3.48 × 104 8.00 × 104 0.0454 3.98 × 104 9.00 × 104 0.0510 4.47 × 104 1.00 × 105 0.0567 4.97 × 104 2.00 × 105 0.113 9.94 × 104 3.00 × 105 0.170 1.49 × 105 4.00 × 105 0.227 1.99 × 105 5.00 × 105 0.283 2.49 × 105 5.98 × 105 0.339 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 4.54 × 10-4 99.4 60.0 5.44 × 10-4 119 70.0 6.35 × 10-4 139 80.0 7.26 × 10-4 159 90.0 8.16 × 10-4 179 100 9.07 × 10-4 199 200 0.00181 398 300 0.00272 596 400 0.00363 795 500 0.00454 994 600 0.00544 1190 700 0.00635 1390 800 0.00726 1590 900 0.00816 1790 1000 0.00907 1990 2000 0.0181 3980 3000 0.0272 5960 4000 0.0363 7950 5000 0.0454 9940 6000 0.0544 1.19 × 104 7000 0.0635 1.39 × 104 8000 0.0726 1.59 × 104 9000 0.0816 1.79 × 104 1.00 × 104 0.0907 1.99 × 104 2.00 × 104 0.181 3.98 × 104 3.00 × 104 0.272 5.96 × 104 4.00 × 104 0.363 7.95 × 104 5.00 × 104 0.454 9.94 × 104 6.00 × 104 0.544 1.19 × 105 7.00 × 104 0.635 1.39 × 105 8.00 × 104 0.726 1.59 × 105 9.00 × 104 0.816 1.79 × 105 1.00 × 105 0.907 1.99 × 105 1.49 × 105 1.36 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 0.00230 224 60.0 0.00276 268 70.0 0.00321 313 80.0 0.00367 358 90.0 0.00413 403 100 0.00459 447 200 0.00919 895 300 0.0138 1340 400 0.0184 1790 500 0.0230 2240 600 0.0276 2680 700 0.0321 3130 800 0.0367 3580 900 0.0413 4030 1000 0.0459 4470 2000 0.0919 8950 3000 0.138 1.34 × 104 4000 0.184 1.79 × 104 5000 0.230 2.24 × 104 6000 0.276 2.68 × 104 7000 0.321 3.13 × 104 8000 0.367 3.58 × 104 9000 0.413 4.03 × 104 1.00 × 104 0.459 4.47 × 104 2.00 × 104 0.919 8.95 × 104 3.00 × 104 1.38 1.34 × 105 4.00 × 104 1.84 1.79 × 105 5.00 × 104 2.30 2.24 × 105 6.00 × 104 2.76 2.68 × 105 6.64 × 104 3.05 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 0.00726 398 60.0 0.00871 477 70.0 0.0102 557 80.0 0.0116 636 90.0 0.0131 716 100 0.0145 795 200 0.0290 1590 300 0.0435 2390 400 0.0581 3180 500 0.0726 3980 600 0.0871 4770 700 0.102 5570 800 0.116 6360 900 0.131 7160 1000 0.145 7950 2000 0.290 1.59 × 104 3000 0.435 2.39 × 104 4000 0.581 3.18 × 104 5000 0.726 3.98 × 104 6000 0.871 4.77 × 104 7000 1.02 5.57 × 104 8000 1.16 6.36 × 104 9000 1.31 7.16 × 104 1.00 × 104 1.45 7.95 × 104 2.00 × 104 2.90 1.59 × 105 3.00 × 104 4.35 2.39 × 105 3.74 × 104 5.42 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 0.0177 621 60.0 0.0213 746 70.0 0.0248 870 80.0 0.0283 994 90.0 0.0319 1120 100 0.0354 1240 200 0.0709 2490 300 0.106 3730 400 0.142 4970 500 0.177 6210 600 0.213 7460 700 0.248 8700 800 0.283 9940 900 0.319 1.12 × 104 1000 0.354 1.24 × 104 2000 0.709 2.49 × 104 3000 1.06 3.73 × 104 4000 1.42 4.97 × 104 5000 1.77 6.21 × 104 6000 2.13 7.46 × 104 7000 2.48 8.70 × 104 8000 2.83 9.94 × 104 9000 3.19 1.12 × 105 1.00 × 104 3.54 1.24 × 105 2.00 × 104 7.09 2.49 × 105 2.39 × 104 8.47 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 0.0367 895 60.0 0.0441 1070 70.0 0.0514 1250 80.0 0.0588 1430 90.0 0.0661 1610 100 0.0735 1790 200 0.147 3580 300 0.220 5370 400 0.294 7160 500 0.367 8950 600 0.441 1.07 × 104 700 0.514 1.25 × 104 800 0.588 1.43 × 104 900 0.661 1.61 × 104 1000 0.735 1.79 × 104 2000 1.47 3.58 × 104 3000 2.20 5.37 × 104 4000 2.94 7.16 × 104 5000 3.67 8.95 × 104 6000 4.41 1.07 × 105 7000 5.14 1.25 × 105 8000 5.88 1.43 × 105 9000 6.61 1.61 × 105 1.00 × 104 7.35 1.79 × 105 1.66 × 104 12.2 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 0.116 1590 60.0 0.139 1910 70.0 0.163 2230 80.0 0.186 2540 90.0 0.209 2860 100 0.232 3180 200 0.464 6360 300 0.697 9540 400 0.929 1.27 × 104 500 1.16 1.59 × 104 600 1.39 1.91 × 104 700 1.63 2.23 × 104 800 1.86 2.54 × 104 900 2.09 2.86 × 104 1000 2.32 3.18 × 104 2000 4.64 6.36 × 104 3000 6.97 9.54 × 104 4000 9.29 1.27 × 105 5000 11.6 1.59 × 105 5250 12.2 1.67 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.283 2490 60.0 0.340 2980 70.0 0.397 3480 80.0 0.454 3980 90.0 0.510 4470 100 0.567 4970 200 1.13 9940 300 1.70 1.49 × 104 400 2.27 1.99 × 104 500 2.83 2.49 × 104 600 3.40 2.98 × 104 700 3.97 3.48 × 104 800 4.54 3.98 × 104 900 5.10 4.47 × 104 1000 5.67 4.97 × 104 2000 11.3 9.94 × 104 2150 12.2 1.07 × 105
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 0.588 3580 60.0 0.705 4290 70.0 0.823 5010 80.0 0.941 5730 90.0 1.06 6440 100 1.18 7160 200 2.35 1.43 × 104 300 3.53 2.15 × 104 400 4.70 2.86 × 104 500 5.88 3.58 × 104 600 7.05 4.29 × 104 700 8.23 5.01 × 104 800 9.41 5.73 × 104 900 10.6 6.44 × 104 1000 11.8 7.16 × 104 1040 12.2 7.42 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 1.09 4870 60.0 1.31 5850 70.0 1.52 6820 80.0 1.74 7790 90.0 1.96 8770 100 2.18 9740 200 4.36 1.95 × 104 300 6.53 2.92 × 104 400 8.71 3.90 × 104 500 10.9 4.87 × 104 560 12.2 5.45 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 1.86 6360 60.0 2.23 7630 70.0 2.60 8910 80.0 2.97 1.02 × 104 90.0 3.34 1.15 × 104 100 3.72 1.27 × 104 200 7.43 2.54 × 104 300 11.1 3.82 × 104 328 12.2 4.17 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 2.98 8050 60.0 3.57 9660 70.0 4.17 1.13 × 104 80.0 4.76 1.29 × 104 90.0 5.36 1.45 × 104 100 5.95 1.61 × 104 200 11.9 3.22 × 104 205 12.2 3.30 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 50.0 4.54 9940 60.0 5.44 1.19 × 104 70.0 6.35 1.39 × 104 80.0 7.26 1.59 × 104 90.0 8.16 1.79 × 104 100 9.07 1.99 × 104 134 12.2 2.67 × 104
 Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 50.0 11.1 1.55 × 104 55.0 12.2 1.71 × 104