Wide Flange Steel I Beam: W8 × 31

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W8 × 31

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 110 in4) for the W8 × 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: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 31.0 1.69 × 10-5 15.2 40.0 2.18 × 10-5 19.6 50.0 2.72 × 10-5 24.5 60.0 3.26 × 10-5 29.5 70.0 3.81 × 10-5 34.4 80.0 4.35 × 10-5 39.3 90.0 4.90 × 10-5 44.2 100 5.44 × 10-5 49.1 200 1.09 × 10-4 98.2 300 1.63 × 10-4 147 400 2.18 × 10-4 196 500 2.72 × 10-4 245 600 3.26 × 10-4 295 700 3.81 × 10-4 344 800 4.35 × 10-4 393 900 4.90 × 10-4 442 1000 5.44 × 10-4 491 2000 0.00109 982 3000 0.00163 1470 4000 0.00218 1960 5000 0.00272 2450 6000 0.00326 2950 7000 0.00381 3440 8000 0.00435 3930 9000 0.00490 4420 1.00 × 104 0.00544 4910 2.00 × 104 0.0109 9820 3.00 × 104 0.0163 1.47 × 104 4.00 × 104 0.0218 1.96 × 104 5.00 × 104 0.0272 2.45 × 104 6.00 × 104 0.0326 2.95 × 104 7.00 × 104 0.0381 3.44 × 104 8.00 × 104 0.0435 3.93 × 104 9.00 × 104 0.0490 4.42 × 104 1.00 × 105 0.0544 4.91 × 104 2.00 × 105 0.109 9.82 × 104 3.00 × 105 0.163 1.47 × 105 4.00 × 105 0.218 1.96 × 105 5.00 × 105 0.272 2.45 × 105 6.00 × 105 0.326 2.95 × 105 6.05 × 105 0.329 2.97 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 31.0 1.30 × 10-4 42.3 40.0 1.68 × 10-4 54.5 50.0 2.10 × 10-4 68.2 60.0 2.52 × 10-4 81.8 70.0 2.94 × 10-4 95.5 80.0 3.36 × 10-4 109 90.0 3.78 × 10-4 123 100 4.20 × 10-4 136 200 8.39 × 10-4 273 300 0.00126 409 400 0.00168 545 500 0.00210 682 600 0.00252 818 700 0.00294 955 800 0.00336 1090 900 0.00378 1230 1000 0.00420 1360 2000 0.00839 2730 3000 0.0126 4090 4000 0.0168 5450 5000 0.0210 6820 6000 0.0252 8180 7000 0.0294 9550 8000 0.0336 1.09 × 104 9000 0.0378 1.23 × 104 1.00 × 104 0.0420 1.36 × 104 2.00 × 104 0.0839 2.73 × 104 3.00 × 104 0.126 4.09 × 104 4.00 × 104 0.168 5.45 × 104 5.00 × 104 0.210 6.82 × 104 6.00 × 104 0.252 8.18 × 104 7.00 × 104 0.294 9.55 × 104 8.00 × 104 0.336 1.09 × 105 9.00 × 104 0.378 1.23 × 105 1.00 × 105 0.420 1.36 × 105 2.00 × 105 0.839 2.73 × 105 2.18 × 105 0.914 2.97 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 31.0 0.00208 169 40.0 0.00269 218 50.0 0.00336 273 60.0 0.00403 327 70.0 0.00470 382 80.0 0.00537 436 90.0 0.00604 491 100 0.00672 545 200 0.0134 1090 300 0.0201 1640 400 0.0269 2180 500 0.0336 2730 600 0.0403 3270 700 0.0470 3820 800 0.0537 4360 900 0.0604 4910 1000 0.0672 5450 2000 0.134 1.09 × 104 3000 0.201 1.64 × 104 4000 0.269 2.18 × 104 5000 0.336 2.73 × 104 6000 0.403 3.27 × 104 7000 0.470 3.82 × 104 8000 0.537 4.36 × 104 9000 0.604 4.91 × 104 1.00 × 104 0.672 5.45 × 104 2.00 × 104 1.34 1.09 × 105 3.00 × 104 2.01 1.64 × 105 4.00 × 104 2.69 2.18 × 105 5.00 × 104 3.36 2.73 × 105 5.45 × 104 3.66 2.97 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 31.0 0.0105 380 40.0 0.0136 491 50.0 0.0170 614 60.0 0.0204 736 70.0 0.0238 859 80.0 0.0272 982 90.0 0.0306 1100 100 0.0340 1230 200 0.0680 2450 300 0.102 3680 400 0.136 4910 500 0.170 6140 600 0.204 7360 700 0.238 8590 800 0.272 9820 900 0.306 1.10 × 104 1000 0.340 1.23 × 104 2000 0.680 2.45 × 104 3000 1.02 3.68 × 104 4000 1.36 4.91 × 104 5000 1.70 6.14 × 104 6000 2.04 7.36 × 104 7000 2.38 8.59 × 104 8000 2.72 9.82 × 104 9000 3.06 1.10 × 105 1.00 × 104 3.40 1.23 × 105 2.00 × 104 6.80 2.45 × 105 2.42 × 104 8.23 2.97 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 31.0 0.0333 676 40.0 0.0430 873 50.0 0.0537 1090 60.0 0.0645 1310 70.0 0.0752 1530 80.0 0.0860 1750 90.0 0.0967 1960 100 0.107 2180 200 0.215 4360 300 0.322 6550 400 0.430 8730 500 0.537 1.09 × 104 600 0.645 1.31 × 104 700 0.752 1.53 × 104 800 0.860 1.75 × 104 900 0.967 1.96 × 104 1000 1.07 2.18 × 104 2000 2.15 4.36 × 104 3000 3.22 6.55 × 104 4000 4.30 8.73 × 104 5000 5.37 1.09 × 105 6000 6.45 1.31 × 105 7000 7.52 1.53 × 105 7450 8.00 1.62 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.0 0.0813 1060 40.0 0.105 1360 50.0 0.131 1700 60.0 0.157 2050 70.0 0.184 2390 80.0 0.210 2730 90.0 0.236 3070 100 0.262 3410 200 0.525 6820 300 0.787 1.02 × 104 400 1.05 1.36 × 104 500 1.31 1.70 × 104 600 1.57 2.05 × 104 700 1.84 2.39 × 104 800 2.10 2.73 × 104 900 2.36 3.07 × 104 1000 2.62 3.41 × 104 2000 5.25 6.82 × 104 3000 7.87 1.02 × 105 3050 8.00 1.04 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.0 0.169 1520 40.0 0.218 1960 50.0 0.272 2450 60.0 0.326 2950 70.0 0.381 3440 80.0 0.435 3930 90.0 0.490 4420 100 0.544 4910 200 1.09 9820 300 1.63 1.47 × 104 400 2.18 1.96 × 104 500 2.72 2.45 × 104 600 3.26 2.95 × 104 700 3.81 3.44 × 104 800 4.35 3.93 × 104 900 4.90 4.42 × 104 1000 5.44 4.91 × 104 1470 8.00 7.22 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.0 0.533 2710 40.0 0.688 3490 50.0 0.860 4360 60.0 1.03 5240 70.0 1.20 6110 80.0 1.38 6980 90.0 1.55 7850 100 1.72 8730 200 3.44 1.75 × 104 300 5.16 2.62 × 104 400 6.88 3.49 × 104 465 8.00 4.06 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.0 1.30 4230 40.0 1.68 5450 50.0 2.10 6820 60.0 2.52 8180 70.0 2.94 9550 80.0 3.36 1.09 × 104 90.0 3.78 1.23 × 104 100 4.20 1.36 × 104 191 8.00 2.60 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.0 2.70 6090 40.0 3.48 7850 50.0 4.35 9820 60.0 5.22 1.18 × 104 70.0 6.09 1.37 × 104 80.0 6.96 1.57 × 104 90.0 7.83 1.77 × 104 91.9 8.00 1.80 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.0 5.00 8290 40.0 6.45 1.07 × 104 49.6 8.00 1.33 × 104