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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 15
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 = 68.9 in4) for the W10 × 15 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: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 15.0 6.30 × 10-6 12.6 20.0 8.40 × 10-6 16.8 30.0 1.26 × 10-5 25.2 40.0 1.68 × 10-5 33.5 50.0 2.10 × 10-5 41.9 60.0 2.52 × 10-5 50.3 70.0 2.94 × 10-5 58.7 80.0 3.36 × 10-5 67.1 90.0 3.78 × 10-5 75.5 100 4.20 × 10-5 83.9 200 8.40 × 10-5 168 300 1.26 × 10-4 252 400 1.68 × 10-4 335 500 2.10 × 10-4 419 600 2.52 × 10-4 503 700 2.94 × 10-4 587 800 3.36 × 10-4 671 900 3.78 × 10-4 755 1000 4.20 × 10-4 839 2000 8.40 × 10-4 1680 3000 0.00126 2520 4000 0.00168 3350 5000 0.00210 4190 6000 0.00252 5030 7000 0.00294 5870 8000 0.00336 6710 9000 0.00378 7550 1.00 × 104 0.00420 8390 2.00 × 104 0.00840 1.68 × 104 3.00 × 104 0.0126 2.52 × 104 4.00 × 104 0.0168 3.35 × 104 5.00 × 104 0.0210 4.19 × 104 6.00 × 104 0.0252 5.03 × 104 7.00 × 104 0.0294 5.87 × 104 8.00 × 104 0.0336 6.71 × 104 9.00 × 104 0.0378 7.55 × 104 1.00 × 105 0.0420 8.39 × 104 2.00 × 105 0.0840 1.68 × 105 3.00 × 105 0.126 2.52 × 105 3.54 × 105 0.149 2.97 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 15.0 4.86 × 10-5 34.9 20.0 6.48 × 10-5 46.6 30.0 9.73 × 10-5 69.9 40.0 1.30 × 10-4 93.2 50.0 1.62 × 10-4 116 60.0 1.95 × 10-4 140 70.0 2.27 × 10-4 163 80.0 2.59 × 10-4 186 90.0 2.92 × 10-4 210 100 3.24 × 10-4 233 200 6.48 × 10-4 466 300 9.73 × 10-4 699 400 0.00130 932 500 0.00162 1160 600 0.00195 1400 700 0.00227 1630 800 0.00259 1860 900 0.00292 2100 1000 0.00324 2330 2000 0.00648 4660 3000 0.00973 6990 4000 0.0130 9320 5000 0.0162 1.16 × 104 6000 0.0195 1.40 × 104 7000 0.0227 1.63 × 104 8000 0.0259 1.86 × 104 9000 0.0292 2.10 × 104 1.00 × 104 0.0324 2.33 × 104 2.00 × 104 0.0648 4.66 × 104 3.00 × 104 0.0973 6.99 × 104 4.00 × 104 0.130 9.32 × 104 5.00 × 104 0.162 1.16 × 105 6.00 × 104 0.195 1.40 × 105 7.00 × 104 0.227 1.63 × 105 8.00 × 104 0.259 1.86 × 105 9.00 × 104 0.292 2.10 × 105 1.00 × 105 0.324 2.33 × 105 1.28 × 105 0.413 2.97 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 15.0 7.78 × 10-4 140 20.0 0.00104 186 30.0 0.00156 280 40.0 0.00208 373 50.0 0.00259 466 60.0 0.00311 559 70.0 0.00363 652 80.0 0.00415 745 90.0 0.00467 839 100 0.00519 932 200 0.0104 1860 300 0.0156 2800 400 0.0208 3730 500 0.0259 4660 600 0.0311 5590 700 0.0363 6520 800 0.0415 7450 900 0.0467 8390 1000 0.0519 9320 2000 0.104 1.86 × 104 3000 0.156 2.80 × 104 4000 0.208 3.73 × 104 5000 0.259 4.66 × 104 6000 0.311 5.59 × 104 7000 0.363 6.52 × 104 8000 0.415 7.45 × 104 9000 0.467 8.39 × 104 1.00 × 104 0.519 9.32 × 104 2.00 × 104 1.04 1.86 × 105 3.00 × 104 1.56 2.80 × 105 3.19 × 104 1.65 2.97 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 15.0 0.00394 314 20.0 0.00525 419 30.0 0.00788 629 40.0 0.0105 839 50.0 0.0131 1050 60.0 0.0158 1260 70.0 0.0184 1470 80.0 0.0210 1680 90.0 0.0236 1890 100 0.0263 2100 200 0.0525 4190 300 0.0788 6290 400 0.105 8390 500 0.131 1.05 × 104 600 0.158 1.26 × 104 700 0.184 1.47 × 104 800 0.210 1.68 × 104 900 0.236 1.89 × 104 1000 0.263 2.10 × 104 2000 0.525 4.19 × 104 3000 0.788 6.29 × 104 4000 1.05 8.39 × 104 5000 1.31 1.05 × 105 6000 1.58 1.26 × 105 7000 1.84 1.47 × 105 8000 2.10 1.68 × 105 9000 2.36 1.89 × 105 1.00 × 104 2.63 2.10 × 105 1.42 × 104 3.72 2.97 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 15.0 0.0125 559 20.0 0.0166 745 30.0 0.0249 1120 40.0 0.0332 1490 50.0 0.0415 1860 60.0 0.0498 2240 70.0 0.0581 2610 80.0 0.0664 2980 90.0 0.0747 3350 100 0.0830 3730 200 0.166 7450 300 0.249 1.12 × 104 400 0.332 1.49 × 104 500 0.415 1.86 × 104 600 0.498 2.24 × 104 700 0.581 2.61 × 104 800 0.664 2.98 × 104 900 0.747 3.35 × 104 1000 0.830 3.73 × 104 2000 1.66 7.45 × 104 3000 2.49 1.12 × 105 4000 3.32 1.49 × 105 5000 4.15 1.86 × 105 6000 4.98 2.24 × 105 7000 5.81 2.61 × 105 7970 6.62 2.97 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 15.0 0.0304 873 20.0 0.0405 1160 30.0 0.0608 1750 40.0 0.0811 2330 50.0 0.101 2910 60.0 0.122 3490 70.0 0.142 4080 80.0 0.162 4660 90.0 0.182 5240 100 0.203 5820 200 0.405 1.16 × 104 300 0.608 1.75 × 104 400 0.811 2.33 × 104 500 1.01 2.91 × 104 600 1.22 3.49 × 104 700 1.42 4.08 × 104 800 1.62 4.66 × 104 900 1.82 5.24 × 104 1000 2.03 5.82 × 104 2000 4.05 1.16 × 105 3000 6.08 1.75 × 105 4000 8.11 2.33 × 105 4930 9.99 2.87 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 15.0 0.0630 1260 20.0 0.0840 1680 30.0 0.126 2520 40.0 0.168 3350 50.0 0.210 4190 60.0 0.252 5030 70.0 0.294 5870 80.0 0.336 6710 90.0 0.378 7550 100 0.420 8390 200 0.840 1.68 × 104 300 1.26 2.52 × 104 400 1.68 3.35 × 104 500 2.10 4.19 × 104 600 2.52 5.03 × 104 700 2.94 5.87 × 104 800 3.36 6.71 × 104 900 3.78 7.55 × 104 1000 4.20 8.39 × 104 2000 8.40 1.68 × 105 2380 9.99 1.99 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 15.0 0.199 2240 20.0 0.266 2980 30.0 0.398 4470 40.0 0.531 5960 50.0 0.664 7450 60.0 0.797 8940 70.0 0.930 1.04 × 104 80.0 1.06 1.19 × 104 90.0 1.20 1.34 × 104 100 1.33 1.49 × 104 200 2.66 2.98 × 104 300 3.98 4.47 × 104 400 5.31 5.96 × 104 500 6.64 7.45 × 104 600 7.97 8.94 × 104 700 9.30 1.04 × 105 752 9.99 1.12 × 105
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 15.0 0.486 3490 20.0 0.648 4660 30.0 0.973 6990 40.0 1.30 9320 50.0 1.62 1.16 × 104 60.0 1.95 1.40 × 104 70.0 2.27 1.63 × 104 80.0 2.59 1.86 × 104 90.0 2.92 2.10 × 104 100 3.24 2.33 × 104 200 6.48 4.66 × 104 300 9.73 6.99 × 104 308 9.99 7.18 × 104
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 15.0 1.01 5030 20.0 1.34 6710 30.0 2.02 1.01 × 104 40.0 2.69 1.34 × 104 50.0 3.36 1.68 × 104 60.0 4.03 2.01 × 104 70.0 4.71 2.35 × 104 80.0 5.38 2.68 × 104 90.0 6.05 3.02 × 104 100 6.72 3.35 × 104 149 9.99 4.98 × 104
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 15.0 1.87 6850 20.0 2.49 9130 30.0 3.74 1.37 × 104 40.0 4.98 1.83 × 104 50.0 6.23 2.28 × 104 60.0 7.47 2.74 × 104 70.0 8.72 3.20 × 104 80.0 9.96 3.65 × 104 80.2 9.99 3.66 × 104
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 15.0 3.19 8940 20.0 4.25 1.19 × 104 30.0 6.37 1.79 × 104 40.0 8.50 2.39 × 104 47.0 9.99 2.80 × 104
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 15.0 5.11 1.13 × 104 20.0 6.81 1.51 × 104 29.4 9.99 2.22 × 104
 Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 15.0 7.78 1.40 × 104 19.3 9.99 1.79 × 104
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