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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 72
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 = 597 in4) for the W12 × 72 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 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 72.0 3.77 × 10-6 7.98 80.0 4.19 × 10-6 8.86 90.0 4.71 × 10-6 9.97 100 5.23 × 10-6 11.1 200 1.05 × 10-5 22.2 300 1.57 × 10-5 33.2 400 2.09 × 10-5 44.3 500 2.62 × 10-5 55.4 600 3.14 × 10-5 66.5 700 3.66 × 10-5 77.6 800 4.19 × 10-5 88.6 900 4.71 × 10-5 99.7 1000 5.23 × 10-5 111 2000 1.05 × 10-4 222 3000 1.57 × 10-4 332 4000 2.09 × 10-4 443 5000 2.62 × 10-4 554 6000 3.14 × 10-4 665 7000 3.66 × 10-4 776 8000 4.19 × 10-4 886 9000 4.71 × 10-4 997 1.00 × 104 5.23 × 10-4 1110 2.00 × 104 0.00105 2220 3.00 × 104 0.00157 3320 4.00 × 104 0.00209 4430 5.00 × 104 0.00262 5540 6.00 × 104 0.00314 6650 7.00 × 104 0.00366 7760 8.00 × 104 0.00419 8860 9.00 × 104 0.00471 9970 1.00 × 105 0.00523 1.11 × 104 2.00 × 105 0.0105 2.22 × 104 3.00 × 105 0.0157 3.32 × 104 4.00 × 105 0.0209 4.43 × 104 5.00 × 105 0.0262 5.54 × 104 6.00 × 105 0.0314 6.65 × 104 7.00 × 105 0.0366 7.76 × 104 8.00 × 105 0.0419 8.86 × 104 9.00 × 105 0.0471 9.97 × 104 1.00 × 106 0.0523 1.11 × 105 2.00 × 106 0.105 2.22 × 105 2.68 × 106 0.140 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 72.0 2.91 × 10-5 22.2 80.0 3.23 × 10-5 24.6 90.0 3.63 × 10-5 27.7 100 4.04 × 10-5 30.8 200 8.08 × 10-5 61.6 300 1.21 × 10-4 92.3 400 1.62 × 10-4 123 500 2.02 × 10-4 154 600 2.42 × 10-4 185 700 2.83 × 10-4 215 800 3.23 × 10-4 246 900 3.63 × 10-4 277 1000 4.04 × 10-4 308 2000 8.08 × 10-4 616 3000 0.00121 923 4000 0.00162 1230 5000 0.00202 1540 6000 0.00242 1850 7000 0.00283 2150 8000 0.00323 2460 9000 0.00363 2770 1.00 × 104 0.00404 3080 2.00 × 104 0.00808 6160 3.00 × 104 0.0121 9230 4.00 × 104 0.0162 1.23 × 104 5.00 × 104 0.0202 1.54 × 104 6.00 × 104 0.0242 1.85 × 104 7.00 × 104 0.0283 2.15 × 104 8.00 × 104 0.0323 2.46 × 104 9.00 × 104 0.0363 2.77 × 104 1.00 × 105 0.0404 3.08 × 104 2.00 × 105 0.0808 6.16 × 104 3.00 × 105 0.121 9.23 × 104 4.00 × 105 0.162 1.23 × 105 5.00 × 105 0.202 1.54 × 105 6.00 × 105 0.242 1.85 × 105 7.00 × 105 0.283 2.15 × 105 8.00 × 105 0.323 2.46 × 105 9.00 × 105 0.363 2.77 × 105 9.65 × 105 0.390 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 72.0 4.65 × 10-4 88.6 80.0 5.17 × 10-4 98.5 90.0 5.82 × 10-4 111 100 6.46 × 10-4 123 200 0.00129 246 300 0.00194 369 400 0.00258 492 500 0.00323 616 600 0.00388 739 700 0.00452 862 800 0.00517 985 900 0.00582 1110 1000 0.00646 1230 2000 0.0129 2460 3000 0.0194 3690 4000 0.0258 4920 5000 0.0323 6160 6000 0.0388 7390 7000 0.0452 8620 8000 0.0517 9850 9000 0.0582 1.11 × 104 1.00 × 104 0.0646 1.23 × 104 2.00 × 104 0.129 2.46 × 104 3.00 × 104 0.194 3.69 × 104 4.00 × 104 0.258 4.92 × 104 5.00 × 104 0.323 6.16 × 104 6.00 × 104 0.388 7.39 × 104 7.00 × 104 0.452 8.62 × 104 8.00 × 104 0.517 9.85 × 104 9.00 × 104 0.582 1.11 × 105 1.00 × 105 0.646 1.23 × 105 2.00 × 105 1.29 2.46 × 105 2.41 × 105 1.56 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 72.0 0.00236 199 80.0 0.00262 222 90.0 0.00294 249 100 0.00327 277 200 0.00654 554 300 0.00981 831 400 0.0131 1110 500 0.0164 1390 600 0.0196 1660 700 0.0229 1940 800 0.0262 2220 900 0.0294 2490 1000 0.0327 2770 2000 0.0654 5540 3000 0.0981 8310 4000 0.131 1.11 × 104 5000 0.164 1.39 × 104 6000 0.196 1.66 × 104 7000 0.229 1.94 × 104 8000 0.262 2.22 × 104 9000 0.294 2.49 × 104 1.00 × 104 0.327 2.77 × 104 2.00 × 104 0.654 5.54 × 104 3.00 × 104 0.981 8.31 × 104 4.00 × 104 1.31 1.11 × 105 5.00 × 104 1.64 1.39 × 105 6.00 × 104 1.96 1.66 × 105 7.00 × 104 2.29 1.94 × 105 8.00 × 104 2.62 2.22 × 105 9.00 × 104 2.94 2.49 × 105 1.00 × 105 3.27 2.77 × 105 1.07 × 105 3.51 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 72.0 0.00744 355 80.0 0.00827 394 90.0 0.00931 443 100 0.0103 492 200 0.0207 985 300 0.0310 1480 400 0.0414 1970 500 0.0517 2460 600 0.0620 2950 700 0.0724 3450 800 0.0827 3940 900 0.0931 4430 1000 0.103 4920 2000 0.207 9850 3000 0.310 1.48 × 104 4000 0.414 1.97 × 104 5000 0.517 2.46 × 104 6000 0.620 2.95 × 104 7000 0.724 3.45 × 104 8000 0.827 3.94 × 104 9000 0.931 4.43 × 104 1.00 × 104 1.03 4.92 × 104 2.00 × 104 2.07 9.85 × 104 3.00 × 104 3.10 1.48 × 105 4.00 × 104 4.14 1.97 × 105 5.00 × 104 5.17 2.46 × 105 6.00 × 104 6.20 2.95 × 105 6.03 × 104 6.24 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 72.0 0.0182 554 80.0 0.0202 616 90.0 0.0227 693 100 0.0252 769 200 0.0505 1540 300 0.0757 2310 400 0.101 3080 500 0.126 3850 600 0.151 4620 700 0.177 5390 800 0.202 6160 900 0.227 6930 1000 0.252 7690 2000 0.505 1.54 × 104 3000 0.757 2.31 × 104 4000 1.01 3.08 × 104 5000 1.26 3.85 × 104 6000 1.51 4.62 × 104 7000 1.77 5.39 × 104 8000 2.02 6.16 × 104 9000 2.27 6.93 × 104 1.00 × 104 2.52 7.69 × 104 2.00 × 104 5.05 1.54 × 105 3.00 × 104 7.57 2.31 × 105 3.86 × 104 9.74 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 72.0 0.0377 798 80.0 0.0419 886 90.0 0.0471 997 100 0.0523 1110 200 0.105 2220 300 0.157 3320 400 0.209 4430 500 0.262 5540 600 0.314 6650 700 0.366 7760 800 0.419 8860 900 0.471 9970 1000 0.523 1.11 × 104 2000 1.05 2.22 × 104 3000 1.57 3.32 × 104 4000 2.09 4.43 × 104 5000 2.62 5.54 × 104 6000 3.14 6.65 × 104 7000 3.66 7.76 × 104 8000 4.19 8.86 × 104 9000 4.71 9.97 × 104 1.00 × 104 5.23 1.11 × 105 2.00 × 104 10.5 2.22 × 105 2.68 × 104 14.0 2.97 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 72.0 0.119 1420 80.0 0.132 1580 90.0 0.149 1770 100 0.165 1970 200 0.331 3940 300 0.496 5910 400 0.662 7880 500 0.827 9850 600 0.993 1.18 × 104 700 1.16 1.38 × 104 800 1.32 1.58 × 104 900 1.49 1.77 × 104 1000 1.65 1.97 × 104 2000 3.31 3.94 × 104 3000 4.96 5.91 × 104 4000 6.62 7.88 × 104 5000 8.27 9.85 × 104 6000 9.93 1.18 × 105 7000 11.6 1.38 × 105 7400 12.3 1.46 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 72.0 0.291 2220 80.0 0.323 2460 90.0 0.363 2770 100 0.404 3080 200 0.808 6160 300 1.21 9230 400 1.62 1.23 × 104 500 2.02 1.54 × 104 600 2.42 1.85 × 104 700 2.83 2.15 × 104 800 3.23 2.46 × 104 900 3.63 2.77 × 104 1000 4.04 3.08 × 104 2000 8.08 6.16 × 104 3000 12.1 9.23 × 104 3030 12.3 9.34 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 72.0 0.603 3190 80.0 0.670 3550 90.0 0.754 3990 100 0.837 4430 200 1.67 8860 300 2.51 1.33 × 104 400 3.35 1.77 × 104 500 4.19 2.22 × 104 600 5.02 2.66 × 104 700 5.86 3.10 × 104 800 6.70 3.55 × 104 900 7.54 3.99 × 104 1000 8.37 4.43 × 104 1460 12.3 6.48 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 72.0 1.12 4340 80.0 1.24 4830 90.0 1.40 5430 100 1.55 6030 200 3.10 1.21 × 104 300 4.65 1.81 × 104 400 6.21 2.41 × 104 500 7.76 3.02 × 104 600 9.31 3.62 × 104 700 10.9 4.22 × 104 790 12.3 4.76 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 72.0 1.91 5670 80.0 2.12 6300 90.0 2.38 7090 100 2.65 7880 200 5.29 1.58 × 104 300 7.94 2.36 × 104 400 10.6 3.15 × 104 463 12.3 3.65 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 72.0 3.05 7180 80.0 3.39 7980 90.0 3.82 8980 100 4.24 9970 200 8.48 1.99 × 104 289 12.3 2.88 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 72.0 4.65 8860 80.0 5.17 9850 90.0 5.82 1.11 × 104 100 6.46 1.23 × 104 190 12.3 2.33 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 72.0 11.4 1.39 × 104 77.6 12.3 1.49 × 104