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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W8 × 13
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 = 39.6 in4) for the W8 × 13 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 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 13.0 7.86 × 10-6 17.7 20.0 1.21 × 10-5 27.2 30.0 1.81 × 10-5 40.9 40.0 2.42 × 10-5 54.5 50.0 3.02 × 10-5 68.1 60.0 3.63 × 10-5 81.7 70.0 4.23 × 10-5 95.3 80.0 4.84 × 10-5 109 90.0 5.44 × 10-5 123 100 6.04 × 10-5 136 200 1.21 × 10-4 272 300 1.81 × 10-4 409 400 2.42 × 10-4 545 500 3.02 × 10-4 681 600 3.63 × 10-4 817 700 4.23 × 10-4 953 800 4.84 × 10-4 1090 900 5.44 × 10-4 1230 1000 6.04 × 10-4 1360 2000 0.00121 2720 3000 0.00181 4090 4000 0.00242 5450 5000 0.00302 6810 6000 0.00363 8170 7000 0.00423 9530 8000 0.00484 1.09 × 104 9000 0.00544 1.23 × 104 1.00 × 104 0.00604 1.36 × 104 2.00 × 104 0.0121 2.72 × 104 3.00 × 104 0.0181 4.09 × 104 4.00 × 104 0.0242 5.45 × 104 5.00 × 104 0.0302 6.81 × 104 6.00 × 104 0.0363 8.17 × 104 7.00 × 104 0.0423 9.53 × 104 8.00 × 104 0.0484 1.09 × 105 9.00 × 104 0.0544 1.23 × 105 1.00 × 105 0.0604 1.36 × 105 2.00 × 105 0.121 2.72 × 105 2.18 × 105 0.132 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 13.0 6.06 × 10-5 49.2 20.0 9.33 × 10-5 75.7 30.0 1.40 × 10-4 113 40.0 1.87 × 10-4 151 50.0 2.33 × 10-4 189 60.0 2.80 × 10-4 227 70.0 3.26 × 10-4 265 80.0 3.73 × 10-4 303 90.0 4.20 × 10-4 340 100 4.66 × 10-4 378 200 9.33 × 10-4 757 300 0.00140 1130 400 0.00187 1510 500 0.00233 1890 600 0.00280 2270 700 0.00326 2650 800 0.00373 3030 900 0.00420 3400 1000 0.00466 3780 2000 0.00933 7570 3000 0.0140 1.13 × 104 4000 0.0187 1.51 × 104 5000 0.0233 1.89 × 104 6000 0.0280 2.27 × 104 7000 0.0326 2.65 × 104 8000 0.0373 3.03 × 104 9000 0.0420 3.40 × 104 1.00 × 104 0.0466 3.78 × 104 2.00 × 104 0.0933 7.57 × 104 3.00 × 104 0.140 1.13 × 105 4.00 × 104 0.187 1.51 × 105 5.00 × 104 0.233 1.89 × 105 6.00 × 104 0.280 2.27 × 105 7.00 × 104 0.326 2.65 × 105 7.85 × 104 0.366 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 13.0 9.70 × 10-4 197 20.0 0.00149 303 30.0 0.00224 454 40.0 0.00298 605 50.0 0.00373 757 60.0 0.00448 908 70.0 0.00522 1060 80.0 0.00597 1210 90.0 0.00672 1360 100 0.00746 1510 200 0.0149 3030 300 0.0224 4540 400 0.0298 6050 500 0.0373 7570 600 0.0448 9080 700 0.0522 1.06 × 104 800 0.0597 1.21 × 104 900 0.0672 1.36 × 104 1000 0.0746 1.51 × 104 2000 0.149 3.03 × 104 3000 0.224 4.54 × 104 4000 0.298 6.05 × 104 5000 0.373 7.57 × 104 6000 0.448 9.08 × 104 7000 0.522 1.06 × 105 8000 0.597 1.21 × 105 9000 0.672 1.36 × 105 1.00 × 104 0.746 1.51 × 105 1.96 × 104 1.46 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 13.0 0.00491 443 20.0 0.00756 681 30.0 0.0113 1020 40.0 0.0151 1360 50.0 0.0189 1700 60.0 0.0227 2040 70.0 0.0264 2380 80.0 0.0302 2720 90.0 0.0340 3060 100 0.0378 3400 200 0.0756 6810 300 0.113 1.02 × 104 400 0.151 1.36 × 104 500 0.189 1.70 × 104 600 0.227 2.04 × 104 700 0.264 2.38 × 104 800 0.302 2.72 × 104 900 0.340 3.06 × 104 1000 0.378 3.40 × 104 2000 0.756 6.81 × 104 3000 1.13 1.02 × 105 4000 1.51 1.36 × 105 5000 1.89 1.70 × 105 6000 2.27 2.04 × 105 7000 2.64 2.38 × 105 8000 3.02 2.72 × 105 8720 3.30 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 13.0 0.0155 787 20.0 0.0239 1210 30.0 0.0358 1820 40.0 0.0478 2420 50.0 0.0597 3030 60.0 0.0716 3630 70.0 0.0836 4240 80.0 0.0955 4840 90.0 0.107 5450 100 0.119 6050 200 0.239 1.21 × 104 300 0.358 1.82 × 104 400 0.478 2.42 × 104 500 0.597 3.03 × 104 600 0.716 3.63 × 104 700 0.836 4.24 × 104 800 0.955 4.84 × 104 900 1.07 5.45 × 104 1000 1.19 6.05 × 104 2000 2.39 1.21 × 105 3000 3.58 1.82 × 105 4000 4.78 2.42 × 105 4910 5.86 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.0379 1230 20.0 0.0583 1890 30.0 0.0874 2840 40.0 0.117 3780 50.0 0.146 4730 60.0 0.175 5670 70.0 0.204 6620 80.0 0.233 7570 90.0 0.262 8510 100 0.291 9460 200 0.583 1.89 × 104 300 0.874 2.84 × 104 400 1.17 3.78 × 104 500 1.46 4.73 × 104 600 1.75 5.67 × 104 700 2.04 6.62 × 104 800 2.33 7.57 × 104 900 2.62 8.51 × 104 1000 2.91 9.46 × 104 2000 5.83 1.89 × 105 2740 7.99 2.59 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.0786 1770 20.0 0.121 2720 30.0 0.181 4090 40.0 0.242 5450 50.0 0.302 6810 60.0 0.363 8170 70.0 0.423 9530 80.0 0.484 1.09 × 104 90.0 0.544 1.23 × 104 100 0.604 1.36 × 104 200 1.21 2.72 × 104 300 1.81 4.09 × 104 400 2.42 5.45 × 104 500 3.02 6.81 × 104 600 3.63 8.17 × 104 700 4.23 9.53 × 104 800 4.84 1.09 × 105 900 5.44 1.23 × 105 1000 6.04 1.36 × 105 1320 7.99 1.80 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 0.248 3150 20.0 0.382 4840 30.0 0.573 7260 40.0 0.764 9680 50.0 0.955 1.21 × 104 60.0 1.15 1.45 × 104 70.0 1.34 1.69 × 104 80.0 1.53 1.94 × 104 90.0 1.72 2.18 × 104 100 1.91 2.42 × 104 200 3.82 4.84 × 104 300 5.73 7.26 × 104 400 7.64 9.68 × 104 418 7.99 1.01 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 13.0 0.606 4920 20.0 0.933 7570 30.0 1.40 1.13 × 104 40.0 1.87 1.51 × 104 50.0 2.33 1.89 × 104 60.0 2.80 2.27 × 104 70.0 3.26 2.65 × 104 80.0 3.73 3.03 × 104 90.0 4.20 3.40 × 104 100 4.66 3.78 × 104 171 7.99 6.48 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 13.0 1.26 7080 20.0 1.93 1.09 × 104 30.0 2.90 1.63 × 104 40.0 3.87 2.18 × 104 50.0 4.84 2.72 × 104 60.0 5.80 3.27 × 104 70.0 6.77 3.81 × 104 80.0 7.74 4.36 × 104 82.6 7.99 4.50 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 13.0 2.33 9640 20.0 3.58 1.48 × 104 30.0 5.37 2.22 × 104 40.0 7.17 2.97 × 104 44.6 7.99 3.31 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 13.0 3.97 1.26 × 104 20.0 6.11 1.94 × 104 26.1 7.99 2.53 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 13.0 6.36 1.59 × 104 16.3 7.99 2.00 × 104