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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 3.49 × 10-6 8.54 80.0 3.88 × 10-6 9.49 90.0 4.36 × 10-6 10.7 100 4.85 × 10-6 11.9 200 9.70 × 10-6 23.7 300 1.45 × 10-5 35.6 400 1.94 × 10-5 47.5 500 2.42 × 10-5 59.3 600 2.91 × 10-5 71.2 700 3.39 × 10-5 83.1 800 3.88 × 10-5 94.9 900 4.36 × 10-5 107 1000 4.85 × 10-5 119 2000 9.70 × 10-5 237 3000 1.45 × 10-4 356 4000 1.94 × 10-4 475 5000 2.42 × 10-4 593 6000 2.91 × 10-4 712 7000 3.39 × 10-4 831 8000 3.88 × 10-4 949 9000 4.36 × 10-4 1070 1.00 × 104 4.85 × 10-4 1190 2.00 × 104 9.70 × 10-4 2370 3.00 × 104 0.00145 3560 4.00 × 104 0.00194 4750 5.00 × 104 0.00242 5930 6.00 × 104 0.00291 7120 7.00 × 104 0.00339 8310 8.00 × 104 0.00388 9490 9.00 × 104 0.00436 1.07 × 104 1.00 × 105 0.00485 1.19 × 104 2.00 × 105 0.00970 2.37 × 104 3.00 × 105 0.0145 3.56 × 104 4.00 × 105 0.0194 4.75 × 104 5.00 × 105 0.0242 5.93 × 104 6.00 × 105 0.0291 7.12 × 104 7.00 × 105 0.0339 8.31 × 104 8.00 × 105 0.0388 9.49 × 104 9.00 × 105 0.0436 1.07 × 105 1.00 × 106 0.0485 1.19 × 105 2.00 × 106 0.0970 2.37 × 105 2.50 × 106 0.121 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 2.69 × 10-5 23.7 80.0 2.99 × 10-5 26.4 90.0 3.37 × 10-5 29.7 100 3.74 × 10-5 33.0 200 7.48 × 10-5 65.9 300 1.12 × 10-4 98.9 400 1.50 × 10-4 132 500 1.87 × 10-4 165 600 2.25 × 10-4 198 700 2.62 × 10-4 231 800 2.99 × 10-4 264 900 3.37 × 10-4 297 1000 3.74 × 10-4 330 2000 7.48 × 10-4 659 3000 0.00112 989 4000 0.00150 1320 5000 0.00187 1650 6000 0.00225 1980 7000 0.00262 2310 8000 0.00299 2640 9000 0.00337 2970 1.00 × 104 0.00374 3300 2.00 × 104 0.00748 6590 3.00 × 104 0.0112 9890 4.00 × 104 0.0150 1.32 × 104 5.00 × 104 0.0187 1.65 × 104 6.00 × 104 0.0225 1.98 × 104 7.00 × 104 0.0262 2.31 × 104 8.00 × 104 0.0299 2.64 × 104 9.00 × 104 0.0337 2.97 × 104 1.00 × 105 0.0374 3.30 × 104 2.00 × 105 0.0748 6.59 × 104 3.00 × 105 0.112 9.89 × 104 4.00 × 105 0.150 1.32 × 105 5.00 × 105 0.187 1.65 × 105 6.00 × 105 0.225 1.98 × 105 7.00 × 105 0.262 2.31 × 105 8.00 × 105 0.299 2.64 × 105 9.00 × 105 0.337 2.97 × 105 9.01 × 105 0.337 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 4.31 × 10-4 94.9 80.0 4.79 × 10-4 105 90.0 5.39 × 10-4 119 100 5.99 × 10-4 132 200 0.00120 264 300 0.00180 396 400 0.00239 527 500 0.00299 659 600 0.00359 791 700 0.00419 923 800 0.00479 1050 900 0.00539 1190 1000 0.00599 1320 2000 0.0120 2640 3000 0.0180 3960 4000 0.0239 5270 5000 0.0299 6590 6000 0.0359 7910 7000 0.0419 9230 8000 0.0479 1.05 × 104 9000 0.0539 1.19 × 104 1.00 × 104 0.0599 1.32 × 104 2.00 × 104 0.120 2.64 × 104 3.00 × 104 0.180 3.96 × 104 4.00 × 104 0.239 5.27 × 104 5.00 × 104 0.299 6.59 × 104 6.00 × 104 0.359 7.91 × 104 7.00 × 104 0.419 9.23 × 104 8.00 × 104 0.479 1.05 × 105 9.00 × 104 0.539 1.19 × 105 1.00 × 105 0.599 1.32 × 105 2.00 × 105 1.20 2.64 × 105 2.25 × 105 1.35 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 0.00218 214 80.0 0.00242 237 90.0 0.00273 267 100 0.00303 297 200 0.00606 593 300 0.00909 890 400 0.0121 1190 500 0.0152 1480 600 0.0182 1780 700 0.0212 2080 800 0.0242 2370 900 0.0273 2670 1000 0.0303 2970 2000 0.0606 5930 3000 0.0909 8900 4000 0.121 1.19 × 104 5000 0.152 1.48 × 104 6000 0.182 1.78 × 104 7000 0.212 2.08 × 104 8000 0.242 2.37 × 104 9000 0.273 2.67 × 104 1.00 × 104 0.303 2.97 × 104 2.00 × 104 0.606 5.93 × 104 3.00 × 104 0.909 8.90 × 104 4.00 × 104 1.21 1.19 × 105 5.00 × 104 1.52 1.48 × 105 6.00 × 104 1.82 1.78 × 105 7.00 × 104 2.12 2.08 × 105 8.00 × 104 2.42 2.37 × 105 9.00 × 104 2.73 2.67 × 105 1.00 × 105 3.03 2.97 × 105 1.00 × 105 3.03 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 0.00690 380 80.0 0.00766 422 90.0 0.00862 475 100 0.00958 527 200 0.0192 1050 300 0.0287 1580 400 0.0383 2110 500 0.0479 2640 600 0.0575 3160 700 0.0671 3690 800 0.0766 4220 900 0.0862 4750 1000 0.0958 5270 2000 0.192 1.05 × 104 3000 0.287 1.58 × 104 4000 0.383 2.11 × 104 5000 0.479 2.64 × 104 6000 0.575 3.16 × 104 7000 0.671 3.69 × 104 8000 0.766 4.22 × 104 9000 0.862 4.75 × 104 1.00 × 104 0.958 5.27 × 104 2.00 × 104 1.92 1.05 × 105 3.00 × 104 2.87 1.58 × 105 4.00 × 104 3.83 2.11 × 105 5.00 × 104 4.79 2.64 × 105 5.63 × 104 5.39 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 0.0168 593 80.0 0.0187 659 90.0 0.0210 742 100 0.0234 824 200 0.0468 1650 300 0.0702 2470 400 0.0935 3300 500 0.117 4120 600 0.140 4940 700 0.164 5770 800 0.187 6590 900 0.210 7420 1000 0.234 8240 2000 0.468 1.65 × 104 3000 0.702 2.47 × 104 4000 0.935 3.30 × 104 5000 1.17 4.12 × 104 6000 1.40 4.94 × 104 7000 1.64 5.77 × 104 8000 1.87 6.59 × 104 9000 2.10 7.42 × 104 1.00 × 104 2.34 8.24 × 104 2.00 × 104 4.68 1.65 × 105 3.00 × 104 7.02 2.47 × 105 3.60 × 104 8.43 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 0.0349 854 80.0 0.0388 949 90.0 0.0436 1070 100 0.0485 1190 200 0.0970 2370 300 0.145 3560 400 0.194 4750 500 0.242 5930 600 0.291 7120 700 0.339 8310 800 0.388 9490 900 0.436 1.07 × 104 1000 0.485 1.19 × 104 2000 0.970 2.37 × 104 3000 1.45 3.56 × 104 4000 1.94 4.75 × 104 5000 2.42 5.93 × 104 6000 2.91 7.12 × 104 7000 3.39 8.31 × 104 8000 3.88 9.49 × 104 9000 4.36 1.07 × 105 1.00 × 104 4.85 1.19 × 105 2.00 × 104 9.70 2.37 × 105 2.50 × 104 12.1 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 0.110 1520 80.0 0.123 1690 90.0 0.138 1900 100 0.153 2110 200 0.307 4220 300 0.460 6330 400 0.613 8440 500 0.766 1.05 × 104 600 0.920 1.27 × 104 700 1.07 1.48 × 104 800 1.23 1.69 × 104 900 1.38 1.90 × 104 1000 1.53 2.11 × 104 2000 3.07 4.22 × 104 3000 4.60 6.33 × 104 4000 6.13 8.44 × 104 5000 7.66 1.05 × 105 6000 9.20 1.27 × 105 7000 10.7 1.48 × 105 7990 12.3 1.69 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 72.0 0.269 2370 80.0 0.299 2640 90.0 0.337 2970 100 0.374 3300 200 0.748 6590 300 1.12 9890 400 1.50 1.32 × 104 500 1.87 1.65 × 104 600 2.25 1.98 × 104 700 2.62 2.31 × 104 800 2.99 2.64 × 104 900 3.37 2.97 × 104 1000 3.74 3.30 × 104 2000 7.48 6.59 × 104 3000 11.2 9.89 × 104 3270 12.3 1.08 × 105
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 72.0 0.559 3420 80.0 0.621 3800 90.0 0.698 4270 100 0.776 4750 200 1.55 9490 300 2.33 1.42 × 104 400 3.10 1.90 × 104 500 3.88 2.37 × 104 600 4.66 2.85 × 104 700 5.43 3.32 × 104 800 6.21 3.80 × 104 900 6.98 4.27 × 104 1000 7.76 4.75 × 104 1580 12.3 7.49 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 72.0 1.03 4650 80.0 1.15 5170 90.0 1.29 5810 100 1.44 6460 200 2.87 1.29 × 104 300 4.31 1.94 × 104 400 5.75 2.58 × 104 500 7.19 3.23 × 104 600 8.62 3.88 × 104 700 10.1 4.52 × 104 800 11.5 5.17 × 104 852 12.3 5.51 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 72.0 1.77 6080 80.0 1.96 6750 90.0 2.21 7590 100 2.45 8440 200 4.90 1.69 × 104 300 7.36 2.53 × 104 400 9.81 3.38 × 104 500 12.3 4.22 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 72.0 2.83 7690 80.0 3.14 8540 90.0 3.54 9610 100 3.93 1.07 × 104 200 7.86 2.14 × 104 300 11.8 3.20 × 104 312 12.3 3.33 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 72.0 4.31 9490 80.0 4.79 1.05 × 104 90.0 5.39 1.19 × 104 100 5.99 1.32 × 104 200 12.0 2.64 × 104 205 12.3 2.70 × 104
 Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 72.0 10.5 1.48 × 104 80.0 11.7 1.65 × 104 83.8 12.3 1.73 × 104