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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W8 × 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 = 48.0 in4) for the W8 × 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: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 15.0 9.05 × 10-6 14.7 20.0 1.21 × 10-5 19.5 30.0 1.81 × 10-5 29.3 40.0 2.41 × 10-5 39.1 50.0 3.02 × 10-5 48.9 60.0 3.62 × 10-5 58.6 70.0 4.22 × 10-5 68.4 80.0 4.83 × 10-5 78.2 90.0 5.43 × 10-5 87.9 100 6.03 × 10-5 97.7 200 1.21 × 10-4 195 300 1.81 × 10-4 293 400 2.41 × 10-4 391 500 3.02 × 10-4 489 600 3.62 × 10-4 586 700 4.22 × 10-4 684 800 4.83 × 10-4 782 900 5.43 × 10-4 879 1000 6.03 × 10-4 977 2000 0.00121 1950 3000 0.00181 2930 4000 0.00241 3910 5000 0.00302 4890 6000 0.00362 5860 7000 0.00422 6840 8000 0.00483 7820 9000 0.00543 8790 1.00 × 104 0.00603 9770 2.00 × 104 0.0121 1.95 × 104 3.00 × 104 0.0181 2.93 × 104 4.00 × 104 0.0241 3.91 × 104 5.00 × 104 0.0302 4.89 × 104 6.00 × 104 0.0362 5.86 × 104 7.00 × 104 0.0422 6.84 × 104 8.00 × 104 0.0483 7.82 × 104 9.00 × 104 0.0543 8.79 × 104 1.00 × 105 0.0603 9.77 × 104 2.00 × 105 0.121 1.95 × 105 3.00 × 105 0.181 2.93 × 105 3.04 × 105 0.183 2.97 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 15.0 6.98 × 10-5 40.7 20.0 9.31 × 10-5 54.3 30.0 1.40 × 10-4 81.4 40.0 1.86 × 10-4 109 50.0 2.33 × 10-4 136 60.0 2.79 × 10-4 163 70.0 3.26 × 10-4 190 80.0 3.72 × 10-4 217 90.0 4.19 × 10-4 244 100 4.65 × 10-4 271 200 9.31 × 10-4 543 300 0.00140 814 400 0.00186 1090 500 0.00233 1360 600 0.00279 1630 700 0.00326 1900 800 0.00372 2170 900 0.00419 2440 1000 0.00465 2710 2000 0.00931 5430 3000 0.0140 8140 4000 0.0186 1.09 × 104 5000 0.0233 1.36 × 104 6000 0.0279 1.63 × 104 7000 0.0326 1.90 × 104 8000 0.0372 2.17 × 104 9000 0.0419 2.44 × 104 1.00 × 104 0.0465 2.71 × 104 2.00 × 104 0.0931 5.43 × 104 3.00 × 104 0.140 8.14 × 104 4.00 × 104 0.186 1.09 × 105 5.00 × 104 0.233 1.36 × 105 6.00 × 104 0.279 1.63 × 105 7.00 × 104 0.326 1.90 × 105 8.00 × 104 0.372 2.17 × 105 9.00 × 104 0.419 2.44 × 105 1.00 × 105 0.465 2.71 × 105 1.09 × 105 0.509 2.97 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 15.0 0.00112 163 20.0 0.00149 217 30.0 0.00223 326 40.0 0.00298 434 50.0 0.00372 543 60.0 0.00447 651 70.0 0.00521 760 80.0 0.00596 869 90.0 0.00670 977 100 0.00745 1090 200 0.0149 2170 300 0.0223 3260 400 0.0298 4340 500 0.0372 5430 600 0.0447 6510 700 0.0521 7600 800 0.0596 8690 900 0.0670 9770 1000 0.0745 1.09 × 104 2000 0.149 2.17 × 104 3000 0.223 3.26 × 104 4000 0.298 4.34 × 104 5000 0.372 5.43 × 104 6000 0.447 6.51 × 104 7000 0.521 7.60 × 104 8000 0.596 8.69 × 104 9000 0.670 9.77 × 104 1.00 × 104 0.745 1.09 × 105 2.00 × 104 1.49 2.17 × 105 2.74 × 104 2.04 2.97 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 15.0 0.00565 366 20.0 0.00754 489 30.0 0.0113 733 40.0 0.0151 977 50.0 0.0188 1220 60.0 0.0226 1470 70.0 0.0264 1710 80.0 0.0302 1950 90.0 0.0339 2200 100 0.0377 2440 200 0.0754 4890 300 0.113 7330 400 0.151 9770 500 0.188 1.22 × 104 600 0.226 1.47 × 104 700 0.264 1.71 × 104 800 0.302 1.95 × 104 900 0.339 2.20 × 104 1000 0.377 2.44 × 104 2000 0.754 4.89 × 104 3000 1.13 7.33 × 104 4000 1.51 9.77 × 104 5000 1.88 1.22 × 105 6000 2.26 1.47 × 105 7000 2.64 1.71 × 105 8000 3.02 1.95 × 105 9000 3.39 2.20 × 105 1.00 × 104 3.77 2.44 × 105 1.22 × 104 4.58 2.97 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 15.0 0.0179 651 20.0 0.0238 869 30.0 0.0357 1300 40.0 0.0477 1740 50.0 0.0596 2170 60.0 0.0715 2610 70.0 0.0834 3040 80.0 0.0953 3470 90.0 0.107 3910 100 0.119 4340 200 0.238 8690 300 0.357 1.30 × 104 400 0.477 1.74 × 104 500 0.596 2.17 × 104 600 0.715 2.61 × 104 700 0.834 3.04 × 104 800 0.953 3.47 × 104 900 1.07 3.91 × 104 1000 1.19 4.34 × 104 2000 2.38 8.69 × 104 3000 3.57 1.30 × 105 4000 4.77 1.74 × 105 5000 5.96 2.17 × 105 6000 7.15 2.61 × 105 6840 8.15 2.97 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 15.0 0.0436 1020 20.0 0.0582 1360 30.0 0.0873 2040 40.0 0.116 2710 50.0 0.145 3390 60.0 0.175 4070 70.0 0.204 4750 80.0 0.233 5430 90.0 0.262 6110 100 0.291 6790 200 0.582 1.36 × 104 300 0.873 2.04 × 104 400 1.16 2.71 × 104 500 1.45 3.39 × 104 600 1.75 4.07 × 104 700 2.04 4.75 × 104 800 2.33 5.43 × 104 900 2.62 6.11 × 104 1000 2.91 6.79 × 104 2000 5.82 1.36 × 105 2790 8.11 1.89 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 15.0 0.0905 1470 20.0 0.121 1950 30.0 0.181 2930 40.0 0.241 3910 50.0 0.302 4890 60.0 0.362 5860 70.0 0.422 6840 80.0 0.483 7820 90.0 0.543 8790 100 0.603 9770 200 1.21 1.95 × 104 300 1.81 2.93 × 104 400 2.41 3.91 × 104 500 3.02 4.89 × 104 600 3.62 5.86 × 104 700 4.22 6.84 × 104 800 4.83 7.82 × 104 900 5.43 8.79 × 104 1000 6.03 9.77 × 104 1340 8.11 1.31 × 105
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 15.0 0.286 2610 20.0 0.381 3470 30.0 0.572 5210 40.0 0.763 6950 50.0 0.953 8690 60.0 1.14 1.04 × 104 70.0 1.33 1.22 × 104 80.0 1.53 1.39 × 104 90.0 1.72 1.56 × 104 100 1.91 1.74 × 104 200 3.81 3.47 × 104 300 5.72 5.21 × 104 400 7.63 6.95 × 104 425 8.11 7.39 × 104
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 15.0 0.698 4070 20.0 0.931 5430 30.0 1.40 8140 40.0 1.86 1.09 × 104 50.0 2.33 1.36 × 104 60.0 2.79 1.63 × 104 70.0 3.26 1.90 × 104 80.0 3.72 2.17 × 104 90.0 4.19 2.44 × 104 100 4.65 2.71 × 104 174 8.11 4.73 × 104
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 15.0 1.45 5860 20.0 1.93 7820 30.0 2.90 1.17 × 104 40.0 3.86 1.56 × 104 50.0 4.83 1.95 × 104 60.0 5.79 2.35 × 104 70.0 6.76 2.74 × 104 80.0 7.72 3.13 × 104 84.0 8.11 3.28 × 104
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 15.0 2.68 7980 20.0 3.58 1.06 × 104 30.0 5.36 1.60 × 104 40.0 7.15 2.13 × 104 45.4 8.11 2.41 × 104
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 15.0 4.58 1.04 × 104 20.0 6.10 1.39 × 104 26.6 8.11 1.85 × 104
 Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 15.0 7.33 1.32 × 104 16.6 8.11 1.46 × 104
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