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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports 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 1.03 × 10-5 14.2 20.0 1.58 × 10-5 21.8 30.0 2.37 × 10-5 32.7 40.0 3.16 × 10-5 43.6 50.0 3.95 × 10-5 54.5 60.0 4.73 × 10-5 65.4 70.0 5.52 × 10-5 76.3 80.0 6.31 × 10-5 87.2 90.0 7.10 × 10-5 98.1 100 7.89 × 10-5 109 200 1.58 × 10-4 218 300 2.37 × 10-4 327 400 3.16 × 10-4 436 500 3.95 × 10-4 545 600 4.73 × 10-4 654 700 5.52 × 10-4 763 800 6.31 × 10-4 872 900 7.10 × 10-4 981 1000 7.89 × 10-4 1090 2000 0.00158 2180 3000 0.00237 3270 4000 0.00316 4360 5000 0.00395 5450 6000 0.00473 6540 7000 0.00552 7630 8000 0.00631 8720 9000 0.00710 9810 1.00 × 104 0.00789 1.09 × 104 2.00 × 104 0.0158 2.18 × 104 3.00 × 104 0.0237 3.27 × 104 4.00 × 104 0.0316 4.36 × 104 5.00 × 104 0.0395 5.45 × 104 6.00 × 104 0.0473 6.54 × 104 7.00 × 104 0.0552 7.63 × 104 8.00 × 104 0.0631 8.72 × 104 9.00 × 104 0.0710 9.81 × 104 1.00 × 105 0.0789 1.09 × 105 2.00 × 105 0.158 2.18 × 105 2.73 × 105 0.215 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 7.92 × 10-5 39.3 20.0 1.22 × 10-4 60.5 30.0 1.83 × 10-4 90.8 40.0 2.44 × 10-4 121 50.0 3.04 × 10-4 151 60.0 3.65 × 10-4 182 70.0 4.26 × 10-4 212 80.0 4.87 × 10-4 242 90.0 5.48 × 10-4 272 100 6.09 × 10-4 303 200 0.00122 605 300 0.00183 908 400 0.00244 1210 500 0.00304 1510 600 0.00365 1820 700 0.00426 2120 800 0.00487 2420 900 0.00548 2720 1000 0.00609 3030 2000 0.0122 6050 3000 0.0183 9080 4000 0.0244 1.21 × 104 5000 0.0304 1.51 × 104 6000 0.0365 1.82 × 104 7000 0.0426 2.12 × 104 8000 0.0487 2.42 × 104 9000 0.0548 2.72 × 104 1.00 × 104 0.0609 3.03 × 104 2.00 × 104 0.122 6.05 × 104 3.00 × 104 0.183 9.08 × 104 4.00 × 104 0.244 1.21 × 105 5.00 × 104 0.304 1.51 × 105 6.00 × 104 0.365 1.82 × 105 7.00 × 104 0.426 2.12 × 105 8.00 × 104 0.487 2.42 × 105 9.00 × 104 0.548 2.72 × 105 9.81 × 104 0.598 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 0.00127 157 20.0 0.00195 242 30.0 0.00292 363 40.0 0.00390 484 50.0 0.00487 605 60.0 0.00585 726 70.0 0.00682 847 80.0 0.00779 968 90.0 0.00877 1090 100 0.00974 1210 200 0.0195 2420 300 0.0292 3630 400 0.0390 4840 500 0.0487 6050 600 0.0585 7260 700 0.0682 8470 800 0.0779 9680 900 0.0877 1.09 × 104 1000 0.0974 1.21 × 104 2000 0.195 2.42 × 104 3000 0.292 3.63 × 104 4000 0.390 4.84 × 104 5000 0.487 6.05 × 104 6000 0.585 7.26 × 104 7000 0.682 8.47 × 104 8000 0.779 9.68 × 104 9000 0.877 1.09 × 105 1.00 × 104 0.974 1.21 × 105 2.00 × 104 1.95 2.42 × 105 2.45 × 104 2.39 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 0.00641 354 20.0 0.00986 545 30.0 0.0148 817 40.0 0.0197 1090 50.0 0.0247 1360 60.0 0.0296 1630 70.0 0.0345 1910 80.0 0.0395 2180 90.0 0.0444 2450 100 0.0493 2720 200 0.0986 5450 300 0.148 8170 400 0.197 1.09 × 104 500 0.247 1.36 × 104 600 0.296 1.63 × 104 700 0.345 1.91 × 104 800 0.395 2.18 × 104 900 0.444 2.45 × 104 1000 0.493 2.72 × 104 2000 0.986 5.45 × 104 3000 1.48 8.17 × 104 4000 1.97 1.09 × 105 5000 2.47 1.36 × 105 6000 2.96 1.63 × 105 7000 3.45 1.91 × 105 8000 3.95 2.18 × 105 9000 4.44 2.45 × 105 1.00 × 104 4.93 2.72 × 105 1.09 × 104 5.38 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 0.0203 630 20.0 0.0312 968 30.0 0.0468 1450 40.0 0.0623 1940 50.0 0.0779 2420 60.0 0.0935 2910 70.0 0.109 3390 80.0 0.125 3870 90.0 0.140 4360 100 0.156 4840 200 0.312 9680 300 0.468 1.45 × 104 400 0.623 1.94 × 104 500 0.779 2.42 × 104 600 0.935 2.91 × 104 700 1.09 3.39 × 104 800 1.25 3.87 × 104 900 1.40 4.36 × 104 1000 1.56 4.84 × 104 2000 3.12 9.68 × 104 3000 4.68 1.45 × 105 4000 6.23 1.94 × 105 5000 7.79 2.42 × 105 5130 7.99 2.48 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.0495 984 20.0 0.0761 1510 30.0 0.114 2270 40.0 0.152 3030 50.0 0.190 3780 60.0 0.228 4540 70.0 0.266 5300 80.0 0.304 6050 90.0 0.342 6810 100 0.381 7570 200 0.761 1.51 × 104 300 1.14 2.27 × 104 400 1.52 3.03 × 104 500 1.90 3.78 × 104 600 2.28 4.54 × 104 700 2.66 5.30 × 104 800 3.04 6.05 × 104 900 3.42 6.81 × 104 1000 3.81 7.57 × 104 2000 7.61 1.51 × 105 2100 7.99 1.59 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.103 1420 20.0 0.158 2180 30.0 0.237 3270 40.0 0.316 4360 50.0 0.395 5450 60.0 0.473 6540 70.0 0.552 7630 80.0 0.631 8720 90.0 0.710 9810 100 0.789 1.09 × 104 200 1.58 2.18 × 104 300 2.37 3.27 × 104 400 3.16 4.36 × 104 500 3.95 5.45 × 104 600 4.73 6.54 × 104 700 5.52 7.63 × 104 800 6.31 8.72 × 104 900 7.10 9.81 × 104 1000 7.89 1.09 × 105 1010 7.99 1.10 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 0.324 2520 20.0 0.499 3870 30.0 0.748 5810 40.0 0.998 7750 50.0 1.25 9680 60.0 1.50 1.16 × 104 70.0 1.75 1.36 × 104 80.0 2.00 1.55 × 104 90.0 2.24 1.74 × 104 100 2.49 1.94 × 104 200 4.99 3.87 × 104 300 7.48 5.81 × 104 320 7.99 6.21 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 13.0 0.792 3930 20.0 1.22 6050 30.0 1.83 9080 40.0 2.44 1.21 × 104 50.0 3.04 1.51 × 104 60.0 3.65 1.82 × 104 70.0 4.26 2.12 × 104 80.0 4.87 2.42 × 104 90.0 5.48 2.72 × 104 100 6.09 3.03 × 104 131 7.99 3.97 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 13.0 1.64 5670 20.0 2.53 8720 30.0 3.79 1.31 × 104 40.0 5.05 1.74 × 104 50.0 6.31 2.18 × 104 60.0 7.58 2.61 × 104 63.3 7.99 2.76 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 13.0 3.04 7710 20.0 4.68 1.19 × 104 30.0 7.02 1.78 × 104 34.2 7.99 2.03 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 13.0 5.19 1.01 × 104 20.0 7.98 1.55 × 104 20.0 7.99 1.55 × 104
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