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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W16 × 31
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in two equal spans, we compute the displacement at the middle of each span and the maximum normal stress occuring at the center support of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 375 in4) for the W16 × 31 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: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 31.0 1.98 × 10-6 8.86 40.0 2.55 × 10-6 11.4 50.0 3.19 × 10-6 14.3 60.0 3.83 × 10-6 17.2 70.0 4.47 × 10-6 20.0 80.0 5.11 × 10-6 22.9 90.0 5.74 × 10-6 25.7 100 6.38 × 10-6 28.6 200 1.28 × 10-5 57.2 300 1.91 × 10-5 85.8 400 2.55 × 10-5 114 500 3.19 × 10-5 143 600 3.83 × 10-5 172 700 4.47 × 10-5 200 800 5.11 × 10-5 229 900 5.74 × 10-5 257 1000 6.38 × 10-5 286 2000 1.28 × 10-4 572 3000 1.91 × 10-4 858 4000 2.55 × 10-4 1140 5000 3.19 × 10-4 1430 6000 3.83 × 10-4 1720 7000 4.47 × 10-4 2000 8000 5.11 × 10-4 2290 9000 5.74 × 10-4 2570 1.00 × 104 6.38 × 10-4 2860 2.00 × 104 0.00128 5720 3.00 × 104 0.00191 8580 4.00 × 104 0.00255 1.14 × 104 5.00 × 104 0.00319 1.43 × 104 6.00 × 104 0.00383 1.72 × 104 7.00 × 104 0.00447 2.00 × 104 8.00 × 104 0.00511 2.29 × 104 9.00 × 104 0.00574 2.57 × 104 1.00 × 105 0.00638 2.86 × 104 2.00 × 105 0.0128 5.72 × 104 3.00 × 105 0.0191 8.58 × 104 4.00 × 105 0.0255 1.14 × 105 5.00 × 105 0.0319 1.43 × 105 6.00 × 105 0.0383 1.72 × 105 7.00 × 105 0.0447 2.00 × 105 8.00 × 105 0.0511 2.29 × 105 9.00 × 105 0.0574 2.57 × 105 1.00 × 106 0.0638 2.86 × 105 1.04 × 106 0.0663 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 31.0 1.53 × 10-5 24.6 40.0 1.97 × 10-5 31.8 50.0 2.46 × 10-5 39.7 60.0 2.95 × 10-5 47.6 70.0 3.45 × 10-5 55.6 80.0 3.94 × 10-5 63.5 90.0 4.43 × 10-5 71.5 100 4.92 × 10-5 79.4 200 9.85 × 10-5 159 300 1.48 × 10-4 238 400 1.97 × 10-4 318 500 2.46 × 10-4 397 600 2.95 × 10-4 476 700 3.45 × 10-4 556 800 3.94 × 10-4 635 900 4.43 × 10-4 715 1000 4.92 × 10-4 794 2000 9.85 × 10-4 1590 3000 0.00148 2380 4000 0.00197 3180 5000 0.00246 3970 6000 0.00295 4760 7000 0.00345 5560 8000 0.00394 6350 9000 0.00443 7150 1.00 × 104 0.00492 7940 2.00 × 104 0.00985 1.59 × 104 3.00 × 104 0.0148 2.38 × 104 4.00 × 104 0.0197 3.18 × 104 5.00 × 104 0.0246 3.97 × 104 6.00 × 104 0.0295 4.76 × 104 7.00 × 104 0.0345 5.56 × 104 8.00 × 104 0.0394 6.35 × 104 9.00 × 104 0.0443 7.15 × 104 1.00 × 105 0.0492 7.94 × 104 2.00 × 105 0.0985 1.59 × 105 3.00 × 105 0.148 2.38 × 105 3.74 × 105 0.184 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 31.0 2.44 × 10-4 98.5 40.0 3.15 × 10-4 127 50.0 3.94 × 10-4 159 60.0 4.73 × 10-4 191 70.0 5.52 × 10-4 222 80.0 6.30 × 10-4 254 90.0 7.09 × 10-4 286 100 7.88 × 10-4 318 200 0.00158 635 300 0.00236 953 400 0.00315 1270 500 0.00394 1590 600 0.00473 1910 700 0.00552 2220 800 0.00630 2540 900 0.00709 2860 1000 0.00788 3180 2000 0.0158 6350 3000 0.0236 9530 4000 0.0315 1.27 × 104 5000 0.0394 1.59 × 104 6000 0.0473 1.91 × 104 7000 0.0552 2.22 × 104 8000 0.0630 2.54 × 104 9000 0.0709 2.86 × 104 1.00 × 104 0.0788 3.18 × 104 2.00 × 104 0.158 6.35 × 104 3.00 × 104 0.236 9.53 × 104 4.00 × 104 0.315 1.27 × 105 5.00 × 104 0.394 1.59 × 105 6.00 × 104 0.473 1.91 × 105 7.00 × 104 0.552 2.22 × 105 8.00 × 104 0.630 2.54 × 105 9.00 × 104 0.709 2.86 × 105 9.35 × 104 0.737 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 31.0 0.00124 222 40.0 0.00160 286 50.0 0.00199 357 60.0 0.00239 429 70.0 0.00279 500 80.0 0.00319 572 90.0 0.00359 643 100 0.00399 715 200 0.00798 1430 300 0.0120 2140 400 0.0160 2860 500 0.0199 3570 600 0.0239 4290 700 0.0279 5000 800 0.0319 5720 900 0.0359 6430 1000 0.0399 7150 2000 0.0798 1.43 × 104 3000 0.120 2.14 × 104 4000 0.160 2.86 × 104 5000 0.199 3.57 × 104 6000 0.239 4.29 × 104 7000 0.279 5.00 × 104 8000 0.319 5.72 × 104 9000 0.359 6.43 × 104 1.00 × 104 0.399 7.15 × 104 2.00 × 104 0.798 1.43 × 105 3.00 × 104 1.20 2.14 × 105 4.00 × 104 1.60 2.86 × 105 4.16 × 104 1.66 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 31.0 0.00391 394 40.0 0.00504 508 50.0 0.00630 635 60.0 0.00756 762 70.0 0.00883 889 80.0 0.0101 1020 90.0 0.0113 1140 100 0.0126 1270 200 0.0252 2540 300 0.0378 3810 400 0.0504 5080 500 0.0630 6350 600 0.0756 7620 700 0.0883 8890 800 0.101 1.02 × 104 900 0.113 1.14 × 104 1000 0.126 1.27 × 104 2000 0.252 2.54 × 104 3000 0.378 3.81 × 104 4000 0.504 5.08 × 104 5000 0.630 6.35 × 104 6000 0.756 7.62 × 104 7000 0.883 8.89 × 104 8000 1.01 1.02 × 105 9000 1.13 1.14 × 105 1.00 × 104 1.26 1.27 × 105 2.00 × 104 2.52 2.54 × 105 2.34 × 104 2.95 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.0 0.00954 615 40.0 0.0123 794 50.0 0.0154 993 60.0 0.0185 1190 70.0 0.0215 1390 80.0 0.0246 1590 90.0 0.0277 1790 100 0.0308 1990 200 0.0616 3970 300 0.0923 5960 400 0.123 7940 500 0.154 9930 600 0.185 1.19 × 104 700 0.215 1.39 × 104 800 0.246 1.59 × 104 900 0.277 1.79 × 104 1000 0.308 1.99 × 104 2000 0.616 3.97 × 104 3000 0.923 5.96 × 104 4000 1.23 7.94 × 104 5000 1.54 9.93 × 104 6000 1.85 1.19 × 105 7000 2.15 1.39 × 105 8000 2.46 1.59 × 105 9000 2.77 1.79 × 105 1.00 × 104 3.08 1.99 × 105 1.50 × 104 4.61 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.0 0.0198 886 40.0 0.0255 1140 50.0 0.0319 1430 60.0 0.0383 1720 70.0 0.0447 2000 80.0 0.0511 2290 90.0 0.0574 2570 100 0.0638 2860 200 0.128 5720 300 0.191 8580 400 0.255 1.14 × 104 500 0.319 1.43 × 104 600 0.383 1.72 × 104 700 0.447 2.00 × 104 800 0.511 2.29 × 104 900 0.574 2.57 × 104 1000 0.638 2.86 × 104 2000 1.28 5.72 × 104 3000 1.91 8.58 × 104 4000 2.55 1.14 × 105 5000 3.19 1.43 × 105 6000 3.83 1.72 × 105 7000 4.47 2.00 × 105 8000 5.11 2.29 × 105 9000 5.74 2.57 × 105 1.00 × 104 6.38 2.86 × 105 1.04 × 104 6.63 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.0 0.0625 1580 40.0 0.0807 2030 50.0 0.101 2540 60.0 0.121 3050 70.0 0.141 3560 80.0 0.161 4070 90.0 0.182 4570 100 0.202 5080 200 0.403 1.02 × 104 300 0.605 1.52 × 104 400 0.807 2.03 × 104 500 1.01 2.54 × 104 600 1.21 3.05 × 104 700 1.41 3.56 × 104 800 1.61 4.07 × 104 900 1.82 4.57 × 104 1000 2.02 5.08 × 104 2000 4.03 1.02 × 105 3000 6.05 1.52 × 105 4000 8.07 2.03 × 105 5000 10.1 2.54 × 105 5850 11.8 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.0 0.153 2460 40.0 0.197 3180 50.0 0.246 3970 60.0 0.295 4760 70.0 0.345 5560 80.0 0.394 6350 90.0 0.443 7150 100 0.492 7940 200 0.985 1.59 × 104 300 1.48 2.38 × 104 400 1.97 3.18 × 104 500 2.46 3.97 × 104 600 2.95 4.76 × 104 700 3.45 5.56 × 104 800 3.94 6.35 × 104 900 4.43 7.15 × 104 1000 4.92 7.94 × 104 2000 9.85 1.59 × 105 3000 14.8 2.38 × 105 3740 18.4 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.0 0.317 3540 40.0 0.408 4570 50.0 0.511 5720 60.0 0.613 6860 70.0 0.715 8000 80.0 0.817 9150 90.0 0.919 1.03 × 104 100 1.02 1.14 × 104 200 2.04 2.29 × 104 300 3.06 3.43 × 104 400 4.08 4.57 × 104 500 5.11 5.72 × 104 600 6.13 6.86 × 104 700 7.15 8.00 × 104 800 8.17 9.15 × 104 900 9.19 1.03 × 105 1000 10.2 1.14 × 105 1560 15.9 1.78 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.0 0.586 4820 40.0 0.757 6220 50.0 0.946 7780 60.0 1.14 9340 70.0 1.32 1.09 × 104 80.0 1.51 1.24 × 104 90.0 1.70 1.40 × 104 100 1.89 1.56 × 104 200 3.78 3.11 × 104 300 5.68 4.67 × 104 400 7.57 6.22 × 104 500 9.46 7.78 × 104 600 11.4 9.34 × 104 700 13.2 1.09 × 105 800 15.1 1.24 × 105 839 15.9 1.31 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.0 1.00 6300 40.0 1.29 8130 50.0 1.61 1.02 × 104 60.0 1.94 1.22 × 104 70.0 2.26 1.42 × 104 80.0 2.58 1.63 × 104 90.0 2.90 1.83 × 104 100 3.23 2.03 × 104 200 6.46 4.07 × 104 300 9.68 6.10 × 104 400 12.9 8.13 × 104 492 15.9 1.00 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.0 1.60 7970 40.0 2.07 1.03 × 104 50.0 2.58 1.29 × 104 60.0 3.10 1.54 × 104 70.0 3.62 1.80 × 104 80.0 4.14 2.06 × 104 90.0 4.65 2.32 × 104 100 5.17 2.57 × 104 200 10.3 5.15 × 104 300 15.5 7.72 × 104 307 15.9 7.90 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 31.0 2.44 9850 40.0 3.15 1.27 × 104 50.0 3.94 1.59 × 104 60.0 4.73 1.91 × 104 70.0 5.52 2.22 × 104 80.0 6.30 2.54 × 104 90.0 7.09 2.86 × 104 100 7.88 3.18 × 104 200 15.8 6.35 × 104 202 15.9 6.40 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 31.0 5.96 1.54 × 104 40.0 7.70 1.99 × 104 50.0 9.62 2.48 × 104 60.0 11.5 2.98 × 104 70.0 13.5 3.47 × 104 80.0 15.4 3.97 × 104 82.5 15.9 4.10 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 31.0 12.4 2.22 × 104 39.8 15.9 2.84 × 104