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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 35
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 = 285 in4) for the W12 × 35 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: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 35.0 3.56 × 10-6 8.88 40.0 4.06 × 10-6 10.1 50.0 5.08 × 10-6 12.7 60.0 6.10 × 10-6 15.2 70.0 7.11 × 10-6 17.8 80.0 8.13 × 10-6 20.3 90.0 9.14 × 10-6 22.8 100 1.02 × 10-5 25.4 200 2.03 × 10-5 50.7 300 3.05 × 10-5 76.1 400 4.06 × 10-5 101 500 5.08 × 10-5 127 600 6.10 × 10-5 152 700 7.11 × 10-5 178 800 8.13 × 10-5 203 900 9.14 × 10-5 228 1000 1.02 × 10-4 254 2000 2.03 × 10-4 507 3000 3.05 × 10-4 761 4000 4.06 × 10-4 1010 5000 5.08 × 10-4 1270 6000 6.10 × 10-4 1520 7000 7.11 × 10-4 1780 8000 8.13 × 10-4 2030 9000 9.14 × 10-4 2280 1.00 × 104 0.00102 2540 2.00 × 104 0.00203 5070 3.00 × 104 0.00305 7610 4.00 × 104 0.00406 1.01 × 104 5.00 × 104 0.00508 1.27 × 104 6.00 × 104 0.00610 1.52 × 104 7.00 × 104 0.00711 1.78 × 104 8.00 × 104 0.00813 2.03 × 104 9.00 × 104 0.00914 2.28 × 104 1.00 × 105 0.0102 2.54 × 104 2.00 × 105 0.0203 5.07 × 104 3.00 × 105 0.0305 7.61 × 104 4.00 × 105 0.0406 1.01 × 105 5.00 × 105 0.0508 1.27 × 105 6.00 × 105 0.0610 1.52 × 105 7.00 × 105 0.0711 1.78 × 105 8.00 × 105 0.0813 2.03 × 105 9.00 × 105 0.0914 2.28 × 105 1.00 × 106 0.102 2.54 × 105 1.17 × 106 0.119 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 35.0 2.74 × 10-5 24.7 40.0 3.14 × 10-5 28.2 50.0 3.92 × 10-5 35.2 60.0 4.70 × 10-5 42.3 70.0 5.49 × 10-5 49.3 80.0 6.27 × 10-5 56.4 90.0 7.05 × 10-5 63.4 100 7.84 × 10-5 70.5 200 1.57 × 10-4 141 300 2.35 × 10-4 211 400 3.14 × 10-4 282 500 3.92 × 10-4 352 600 4.70 × 10-4 423 700 5.49 × 10-4 493 800 6.27 × 10-4 564 900 7.05 × 10-4 634 1000 7.84 × 10-4 705 2000 0.00157 1410 3000 0.00235 2110 4000 0.00314 2820 5000 0.00392 3520 6000 0.00470 4230 7000 0.00549 4930 8000 0.00627 5640 9000 0.00705 6340 1.00 × 104 0.00784 7050 2.00 × 104 0.0157 1.41 × 104 3.00 × 104 0.0235 2.11 × 104 4.00 × 104 0.0314 2.82 × 104 5.00 × 104 0.0392 3.52 × 104 6.00 × 104 0.0470 4.23 × 104 7.00 × 104 0.0549 4.93 × 104 8.00 × 104 0.0627 5.64 × 104 9.00 × 104 0.0705 6.34 × 104 1.00 × 105 0.0784 7.05 × 104 2.00 × 105 0.157 1.41 × 105 3.00 × 105 0.235 2.11 × 105 4.00 × 105 0.314 2.82 × 105 4.22 × 105 0.330 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 35.0 4.39 × 10-4 98.6 40.0 5.02 × 10-4 113 50.0 6.27 × 10-4 141 60.0 7.52 × 10-4 169 70.0 8.78 × 10-4 197 80.0 0.00100 225 90.0 0.00113 254 100 0.00125 282 200 0.00251 564 300 0.00376 846 400 0.00502 1130 500 0.00627 1410 600 0.00752 1690 700 0.00878 1970 800 0.0100 2250 900 0.0113 2540 1000 0.0125 2820 2000 0.0251 5640 3000 0.0376 8460 4000 0.0502 1.13 × 104 5000 0.0627 1.41 × 104 6000 0.0752 1.69 × 104 7000 0.0878 1.97 × 104 8000 0.100 2.25 × 104 9000 0.113 2.54 × 104 1.00 × 104 0.125 2.82 × 104 2.00 × 104 0.251 5.64 × 104 3.00 × 104 0.376 8.46 × 104 4.00 × 104 0.502 1.13 × 105 5.00 × 104 0.627 1.41 × 105 6.00 × 104 0.752 1.69 × 105 7.00 × 104 0.878 1.97 × 105 8.00 × 104 1.00 2.25 × 105 9.00 × 104 1.13 2.54 × 105 1.00 × 105 1.25 2.82 × 105 1.05 × 105 1.32 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 35.0 0.00222 222 40.0 0.00254 254 50.0 0.00317 317 60.0 0.00381 380 70.0 0.00444 444 80.0 0.00508 507 90.0 0.00571 571 100 0.00635 634 200 0.0127 1270 300 0.0190 1900 400 0.0254 2540 500 0.0317 3170 600 0.0381 3800 700 0.0444 4440 800 0.0508 5070 900 0.0571 5710 1000 0.0635 6340 2000 0.127 1.27 × 104 3000 0.190 1.90 × 104 4000 0.254 2.54 × 104 5000 0.317 3.17 × 104 6000 0.381 3.80 × 104 7000 0.444 4.44 × 104 8000 0.508 5.07 × 104 9000 0.571 5.71 × 104 1.00 × 104 0.635 6.34 × 104 2.00 × 104 1.27 1.27 × 105 3.00 × 104 1.90 1.90 × 105 4.00 × 104 2.54 2.54 × 105 4.68 × 104 2.97 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 35.0 0.00702 395 40.0 0.00803 451 50.0 0.0100 564 60.0 0.0120 676 70.0 0.0140 789 80.0 0.0161 902 90.0 0.0181 1010 100 0.0201 1130 200 0.0401 2250 300 0.0602 3380 400 0.0803 4510 500 0.100 5640 600 0.120 6760 700 0.140 7890 800 0.161 9020 900 0.181 1.01 × 104 1000 0.201 1.13 × 104 2000 0.401 2.25 × 104 3000 0.602 3.38 × 104 4000 0.803 4.51 × 104 5000 1.00 5.64 × 104 6000 1.20 6.76 × 104 7000 1.40 7.89 × 104 8000 1.61 9.02 × 104 9000 1.81 1.01 × 105 1.00 × 104 2.01 1.13 × 105 2.00 × 104 4.01 2.25 × 105 2.63 × 104 5.29 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 35.0 0.0171 617 40.0 0.0196 705 50.0 0.0245 881 60.0 0.0294 1060 70.0 0.0343 1230 80.0 0.0392 1410 90.0 0.0441 1590 100 0.0490 1760 200 0.0980 3520 300 0.147 5280 400 0.196 7050 500 0.245 8810 600 0.294 1.06 × 104 700 0.343 1.23 × 104 800 0.392 1.41 × 104 900 0.441 1.59 × 104 1000 0.490 1.76 × 104 2000 0.980 3.52 × 104 3000 1.47 5.28 × 104 4000 1.96 7.05 × 104 5000 2.45 8.81 × 104 6000 2.94 1.06 × 105 7000 3.43 1.23 × 105 8000 3.92 1.41 × 105 9000 4.41 1.59 × 105 1.00 × 104 4.90 1.76 × 105 1.69 × 104 8.26 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 35.0 0.0356 888 40.0 0.0406 1010 50.0 0.0508 1270 60.0 0.0610 1520 70.0 0.0711 1780 80.0 0.0813 2030 90.0 0.0914 2280 100 0.102 2540 200 0.203 5070 300 0.305 7610 400 0.406 1.01 × 104 500 0.508 1.27 × 104 600 0.610 1.52 × 104 700 0.711 1.78 × 104 800 0.813 2.03 × 104 900 0.914 2.28 × 104 1000 1.02 2.54 × 104 2000 2.03 5.07 × 104 3000 3.05 7.61 × 104 4000 4.06 1.01 × 105 5000 5.08 1.27 × 105 6000 6.10 1.52 × 105 7000 7.11 1.78 × 105 8000 8.13 2.03 × 105 9000 9.14 2.28 × 105 1.00 × 104 10.2 2.54 × 105 1.17 × 104 11.9 2.97 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 35.0 0.112 1580 40.0 0.128 1800 50.0 0.161 2250 60.0 0.193 2710 70.0 0.225 3160 80.0 0.257 3610 90.0 0.289 4060 100 0.321 4510 200 0.642 9020 300 0.963 1.35 × 104 400 1.28 1.80 × 104 500 1.61 2.25 × 104 600 1.93 2.71 × 104 700 2.25 3.16 × 104 800 2.57 3.61 × 104 900 2.89 4.06 × 104 1000 3.21 4.51 × 104 2000 6.42 9.02 × 104 3000 9.63 1.35 × 105 3890 12.5 1.76 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 35.0 0.274 2470 40.0 0.314 2820 50.0 0.392 3520 60.0 0.470 4230 70.0 0.549 4930 80.0 0.627 5640 90.0 0.705 6340 100 0.784 7050 200 1.57 1.41 × 104 300 2.35 2.11 × 104 400 3.14 2.82 × 104 500 3.92 3.52 × 104 600 4.70 4.23 × 104 700 5.49 4.93 × 104 800 6.27 5.64 × 104 900 7.05 6.34 × 104 1000 7.84 7.05 × 104 1590 12.5 1.12 × 105
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 35.0 0.569 3550 40.0 0.650 4060 50.0 0.813 5070 60.0 0.975 6090 70.0 1.14 7100 80.0 1.30 8120 90.0 1.46 9130 100 1.63 1.01 × 104 200 3.25 2.03 × 104 300 4.88 3.04 × 104 400 6.50 4.06 × 104 500 8.13 5.07 × 104 600 9.75 6.09 × 104 700 11.4 7.10 × 104 769 12.5 7.80 × 104
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 35.0 1.05 4830 40.0 1.20 5520 50.0 1.51 6910 60.0 1.81 8290 70.0 2.11 9670 80.0 2.41 1.10 × 104 90.0 2.71 1.24 × 104 100 3.01 1.38 × 104 200 6.02 2.76 × 104 300 9.03 4.14 × 104 400 12.0 5.52 × 104 415 12.5 5.73 × 104
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 35.0 1.80 6310 40.0 2.05 7220 50.0 2.57 9020 60.0 3.08 1.08 × 104 70.0 3.60 1.26 × 104 80.0 4.11 1.44 × 104 90.0 4.62 1.62 × 104 100 5.14 1.80 × 104 200 10.3 3.61 × 104 243 12.5 4.39 × 104
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 35.0 2.88 7990 40.0 3.29 9130 50.0 4.11 1.14 × 104 60.0 4.94 1.37 × 104 70.0 5.76 1.60 × 104 80.0 6.58 1.83 × 104 90.0 7.41 2.05 × 104 100 8.23 2.28 × 104 152 12.5 3.47 × 104
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 35.0 4.39 9860 40.0 5.02 1.13 × 104 50.0 6.27 1.41 × 104 60.0 7.52 1.69 × 104 70.0 8.78 1.97 × 104 80.0 10.0 2.25 × 104 90.0 11.3 2.54 × 104 99.7 12.5 2.81 × 104
 Steel I Beam: W12 × 35 (Wide Flange 12 inch tall × 35 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 35.0 10.7 1.54 × 104 40.0 12.2 1.76 × 104 40.8 12.5 1.80 × 104