Wide Flange Steel I Beam: W8 × 31

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W8 × 31
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 = 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 8.16 × 10-6 13.0 40.0 1.05 × 10-5 16.8 50.0 1.32 × 10-5 21.0 60.0 1.58 × 10-5 25.2 70.0 1.84 × 10-5 29.4 80.0 2.11 × 10-5 33.6 90.0 2.37 × 10-5 37.9 100 2.63 × 10-5 42.1 200 5.26 × 10-5 84.1 300 7.90 × 10-5 126 400 1.05 × 10-4 168 500 1.32 × 10-4 210 600 1.58 × 10-4 252 700 1.84 × 10-4 294 800 2.11 × 10-4 336 900 2.37 × 10-4 379 1000 2.63 × 10-4 421 2000 5.26 × 10-4 841 3000 7.90 × 10-4 1260 4000 0.00105 1680 5000 0.00132 2100 6000 0.00158 2520 7000 0.00184 2940 8000 0.00211 3360 9000 0.00237 3790 1.00 × 104 0.00263 4210 2.00 × 104 0.00526 8410 3.00 × 104 0.00790 1.26 × 104 4.00 × 104 0.0105 1.68 × 104 5.00 × 104 0.0132 2.10 × 104 6.00 × 104 0.0158 2.52 × 104 7.00 × 104 0.0184 2.94 × 104 8.00 × 104 0.0211 3.36 × 104 9.00 × 104 0.0237 3.79 × 104 1.00 × 105 0.0263 4.21 × 104 2.00 × 105 0.0526 8.41 × 104 3.00 × 105 0.0790 1.26 × 105 4.00 × 105 0.105 1.68 × 105 5.00 × 105 0.132 2.10 × 105 6.00 × 105 0.158 2.52 × 105 7.00 × 105 0.184 2.94 × 105 7.06 × 105 0.186 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 6.30 × 10-5 36.2 40.0 8.12 × 10-5 46.7 50.0 1.02 × 10-4 58.4 60.0 1.22 × 10-4 70.1 70.0 1.42 × 10-4 81.8 80.0 1.62 × 10-4 93.5 90.0 1.83 × 10-4 105 100 2.03 × 10-4 117 200 4.06 × 10-4 234 300 6.09 × 10-4 351 400 8.12 × 10-4 467 500 0.00102 584 600 0.00122 701 700 0.00142 818 800 0.00162 935 900 0.00183 1050 1000 0.00203 1170 2000 0.00406 2340 3000 0.00609 3510 4000 0.00812 4670 5000 0.0102 5840 6000 0.0122 7010 7000 0.0142 8180 8000 0.0162 9350 9000 0.0183 1.05 × 104 1.00 × 104 0.0203 1.17 × 104 2.00 × 104 0.0406 2.34 × 104 3.00 × 104 0.0609 3.51 × 104 4.00 × 104 0.0812 4.67 × 104 5.00 × 104 0.102 5.84 × 104 6.00 × 104 0.122 7.01 × 104 7.00 × 104 0.142 8.18 × 104 8.00 × 104 0.162 9.35 × 104 9.00 × 104 0.183 1.05 × 105 1.00 × 105 0.203 1.17 × 105 2.00 × 105 0.406 2.34 × 105 2.54 × 105 0.516 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 0.00101 145 40.0 0.00130 187 50.0 0.00162 234 60.0 0.00195 280 70.0 0.00227 327 80.0 0.00260 374 90.0 0.00292 421 100 0.00325 467 200 0.00650 935 300 0.00975 1400 400 0.0130 1870 500 0.0162 2340 600 0.0195 2800 700 0.0227 3270 800 0.0260 3740 900 0.0292 4210 1000 0.0325 4670 2000 0.0650 9350 3000 0.0975 1.40 × 104 4000 0.130 1.87 × 104 5000 0.162 2.34 × 104 6000 0.195 2.80 × 104 7000 0.227 3.27 × 104 8000 0.260 3.74 × 104 9000 0.292 4.21 × 104 1.00 × 104 0.325 4.67 × 104 2.00 × 104 0.650 9.35 × 104 3.00 × 104 0.975 1.40 × 105 4.00 × 104 1.30 1.87 × 105 5.00 × 104 1.62 2.34 × 105 6.00 × 104 1.95 2.80 × 105 6.36 × 104 2.07 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 0.00510 326 40.0 0.00658 421 50.0 0.00822 526 60.0 0.00987 631 70.0 0.0115 736 80.0 0.0132 841 90.0 0.0148 946 100 0.0164 1050 200 0.0329 2100 300 0.0493 3150 400 0.0658 4210 500 0.0822 5260 600 0.0987 6310 700 0.115 7360 800 0.132 8410 900 0.148 9460 1000 0.164 1.05 × 104 2000 0.329 2.10 × 104 3000 0.493 3.15 × 104 4000 0.658 4.21 × 104 5000 0.822 5.26 × 104 6000 0.987 6.31 × 104 7000 1.15 7.36 × 104 8000 1.32 8.41 × 104 9000 1.48 9.46 × 104 1.00 × 104 1.64 1.05 × 105 2.00 × 104 3.29 2.10 × 105 2.82 × 104 4.65 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 0.0161 580 40.0 0.0208 748 50.0 0.0260 935 60.0 0.0312 1120 70.0 0.0364 1310 80.0 0.0416 1500 90.0 0.0468 1680 100 0.0520 1870 200 0.104 3740 300 0.156 5610 400 0.208 7480 500 0.260 9350 600 0.312 1.12 × 104 700 0.364 1.31 × 104 800 0.416 1.50 × 104 900 0.468 1.68 × 104 1000 0.520 1.87 × 104 2000 1.04 3.74 × 104 3000 1.56 5.61 × 104 4000 2.08 7.48 × 104 5000 2.60 9.35 × 104 6000 3.12 1.12 × 105 7000 3.64 1.31 × 105 8000 4.16 1.50 × 105 9000 4.68 1.68 × 105 1.00 × 104 5.20 1.87 × 105 1.59 × 104 8.26 2.97 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.0 0.0393 905 40.0 0.0508 1170 50.0 0.0635 1460 60.0 0.0762 1750 70.0 0.0888 2040 80.0 0.102 2340 90.0 0.114 2630 100 0.127 2920 200 0.254 5840 300 0.381 8760 400 0.508 1.17 × 104 500 0.635 1.46 × 104 600 0.762 1.75 × 104 700 0.888 2.04 × 104 800 1.02 2.34 × 104 900 1.14 2.63 × 104 1000 1.27 2.92 × 104 2000 2.54 5.84 × 104 3000 3.81 8.76 × 104 4000 5.08 1.17 × 105 5000 6.35 1.46 × 105 6000 7.62 1.75 × 105 6300 8.00 1.84 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.0 0.0816 1300 40.0 0.105 1680 50.0 0.132 2100 60.0 0.158 2520 70.0 0.184 2940 80.0 0.211 3360 90.0 0.237 3790 100 0.263 4210 200 0.526 8410 300 0.790 1.26 × 104 400 1.05 1.68 × 104 500 1.32 2.10 × 104 600 1.58 2.52 × 104 700 1.84 2.94 × 104 800 2.11 3.36 × 104 900 2.37 3.79 × 104 1000 2.63 4.21 × 104 2000 5.26 8.41 × 104 3000 7.90 1.26 × 105 3040 8.00 1.28 × 105
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.0 0.258 2320 40.0 0.333 2990 50.0 0.416 3740 60.0 0.499 4490 70.0 0.582 5230 80.0 0.665 5980 90.0 0.749 6730 100 0.832 7480 200 1.66 1.50 × 104 300 2.50 2.24 × 104 400 3.33 2.99 × 104 500 4.16 3.74 × 104 600 4.99 4.49 × 104 700 5.82 5.23 × 104 800 6.65 5.98 × 104 900 7.49 6.73 × 104 962 8.00 7.19 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.0 0.630 3620 40.0 0.812 4670 50.0 1.02 5840 60.0 1.22 7010 70.0 1.42 8180 80.0 1.62 9350 90.0 1.83 1.05 × 104 100 2.03 1.17 × 104 200 4.06 2.34 × 104 300 6.09 3.51 × 104 394 8.00 4.60 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.0 1.31 5220 40.0 1.68 6730 50.0 2.11 8410 60.0 2.53 1.01 × 104 70.0 2.95 1.18 × 104 80.0 3.37 1.35 × 104 90.0 3.79 1.51 × 104 100 4.21 1.68 × 104 190 8.00 3.20 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.0 2.42 7100 40.0 3.12 9160 50.0 3.90 1.14 × 104 60.0 4.68 1.37 × 104 70.0 5.46 1.60 × 104 80.0 6.24 1.83 × 104 90.0 7.02 2.06 × 104 100 7.80 2.29 × 104 103 8.00 2.35 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.0 4.13 9270 40.0 5.32 1.20 × 104 50.0 6.65 1.50 × 104 60.0 7.99 1.79 × 104 60.1 8.00 1.80 × 104
 Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.0 6.61 1.17 × 104 37.5 8.00 1.42 × 104