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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 30
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 = 238 in4) for the W12 × 30 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 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 30.0 3.94 × 10-6 8.40 40.0 5.25 × 10-6 11.2 50.0 6.56 × 10-6 14.0 60.0 7.88 × 10-6 16.8 70.0 9.19 × 10-6 19.6 80.0 1.05 × 10-5 22.4 90.0 1.18 × 10-5 25.2 100 1.31 × 10-5 28.0 200 2.63 × 10-5 56.0 300 3.94 × 10-5 84.0 400 5.25 × 10-5 112 500 6.56 × 10-5 140 600 7.88 × 10-5 168 700 9.19 × 10-5 196 800 1.05 × 10-4 224 900 1.18 × 10-4 252 1000 1.31 × 10-4 280 2000 2.63 × 10-4 560 3000 3.94 × 10-4 840 4000 5.25 × 10-4 1120 5000 6.56 × 10-4 1400 6000 7.88 × 10-4 1680 7000 9.19 × 10-4 1960 8000 0.00105 2240 9000 0.00118 2520 1.00 × 104 0.00131 2800 2.00 × 104 0.00263 5600 3.00 × 104 0.00394 8400 4.00 × 104 0.00525 1.12 × 104 5.00 × 104 0.00656 1.40 × 104 6.00 × 104 0.00788 1.68 × 104 7.00 × 104 0.00919 1.96 × 104 8.00 × 104 0.0105 2.24 × 104 9.00 × 104 0.0118 2.52 × 104 1.00 × 105 0.0131 2.80 × 104 2.00 × 105 0.0263 5.60 × 104 3.00 × 105 0.0394 8.40 × 104 4.00 × 105 0.0525 1.12 × 105 5.00 × 105 0.0656 1.40 × 105 6.00 × 105 0.0788 1.68 × 105 7.00 × 105 0.0919 1.96 × 105 8.00 × 105 0.105 2.24 × 105 9.00 × 105 0.118 2.52 × 105 1.00 × 106 0.131 2.80 × 105 1.06 × 106 0.139 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 30.0 3.04 × 10-5 23.3 40.0 4.05 × 10-5 31.1 50.0 5.07 × 10-5 38.9 60.0 6.08 × 10-5 46.7 70.0 7.09 × 10-5 54.4 80.0 8.10 × 10-5 62.2 90.0 9.12 × 10-5 70.0 100 1.01 × 10-4 77.8 200 2.03 × 10-4 156 300 3.04 × 10-4 233 400 4.05 × 10-4 311 500 5.07 × 10-4 389 600 6.08 × 10-4 467 700 7.09 × 10-4 544 800 8.10 × 10-4 622 900 9.12 × 10-4 700 1000 0.00101 778 2000 0.00203 1560 3000 0.00304 2330 4000 0.00405 3110 5000 0.00507 3890 6000 0.00608 4670 7000 0.00709 5440 8000 0.00810 6220 9000 0.00912 7000 1.00 × 104 0.0101 7780 2.00 × 104 0.0203 1.56 × 104 3.00 × 104 0.0304 2.33 × 104 4.00 × 104 0.0405 3.11 × 104 5.00 × 104 0.0507 3.89 × 104 6.00 × 104 0.0608 4.67 × 104 7.00 × 104 0.0709 5.44 × 104 8.00 × 104 0.0810 6.22 × 104 9.00 × 104 0.0912 7.00 × 104 1.00 × 105 0.101 7.78 × 104 2.00 × 105 0.203 1.56 × 105 3.00 × 105 0.304 2.33 × 105 3.82 × 105 0.387 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 30.0 4.86 × 10-4 93.3 40.0 6.48 × 10-4 124 50.0 8.10 × 10-4 156 60.0 9.73 × 10-4 187 70.0 0.00113 218 80.0 0.00130 249 90.0 0.00146 280 100 0.00162 311 200 0.00324 622 300 0.00486 933 400 0.00648 1240 500 0.00810 1560 600 0.00973 1870 700 0.0113 2180 800 0.0130 2490 900 0.0146 2800 1000 0.0162 3110 2000 0.0324 6220 3000 0.0486 9330 4000 0.0648 1.24 × 104 5000 0.0810 1.56 × 104 6000 0.0973 1.87 × 104 7000 0.113 2.18 × 104 8000 0.130 2.49 × 104 9000 0.146 2.80 × 104 1.00 × 104 0.162 3.11 × 104 2.00 × 104 0.324 6.22 × 104 3.00 × 104 0.486 9.33 × 104 4.00 × 104 0.648 1.24 × 105 5.00 × 104 0.810 1.56 × 105 6.00 × 104 0.973 1.87 × 105 7.00 × 104 1.13 2.18 × 105 8.00 × 104 1.30 2.49 × 105 9.00 × 104 1.46 2.80 × 105 9.55 × 104 1.55 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 30.0 0.00246 210 40.0 0.00328 280 50.0 0.00410 350 60.0 0.00492 420 70.0 0.00574 490 80.0 0.00656 560 90.0 0.00739 630 100 0.00821 700 200 0.0164 1400 300 0.0246 2100 400 0.0328 2800 500 0.0410 3500 600 0.0492 4200 700 0.0574 4900 800 0.0656 5600 900 0.0739 6300 1000 0.0821 7000 2000 0.164 1.40 × 104 3000 0.246 2.10 × 104 4000 0.328 2.80 × 104 5000 0.410 3.50 × 104 6000 0.492 4.20 × 104 7000 0.574 4.90 × 104 8000 0.656 5.60 × 104 9000 0.739 6.30 × 104 1.00 × 104 0.821 7.00 × 104 2.00 × 104 1.64 1.40 × 105 3.00 × 104 2.46 2.10 × 105 4.00 × 104 3.28 2.80 × 105 4.24 × 104 3.48 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 30.0 0.00778 373 40.0 0.0104 498 50.0 0.0130 622 60.0 0.0156 747 70.0 0.0182 871 80.0 0.0207 995 90.0 0.0233 1120 100 0.0259 1240 200 0.0519 2490 300 0.0778 3730 400 0.104 4980 500 0.130 6220 600 0.156 7470 700 0.182 8710 800 0.207 9950 900 0.233 1.12 × 104 1000 0.259 1.24 × 104 2000 0.519 2.49 × 104 3000 0.778 3.73 × 104 4000 1.04 4.98 × 104 5000 1.30 6.22 × 104 6000 1.56 7.47 × 104 7000 1.82 8.71 × 104 8000 2.07 9.95 × 104 9000 2.33 1.12 × 105 1.00 × 104 2.59 1.24 × 105 2.00 × 104 5.19 2.49 × 105 2.39 × 104 6.19 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 30.0 0.0190 583 40.0 0.0253 778 50.0 0.0317 972 60.0 0.0380 1170 70.0 0.0443 1360 80.0 0.0507 1560 90.0 0.0570 1750 100 0.0633 1940 200 0.127 3890 300 0.190 5830 400 0.253 7780 500 0.317 9720 600 0.380 1.17 × 104 700 0.443 1.36 × 104 800 0.507 1.56 × 104 900 0.570 1.75 × 104 1000 0.633 1.94 × 104 2000 1.27 3.89 × 104 3000 1.90 5.83 × 104 4000 2.53 7.78 × 104 5000 3.17 9.72 × 104 6000 3.80 1.17 × 105 7000 4.43 1.36 × 105 8000 5.07 1.56 × 105 9000 5.70 1.75 × 105 1.00 × 104 6.33 1.94 × 105 1.53 × 104 9.67 2.97 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 30.0 0.0394 840 40.0 0.0525 1120 50.0 0.0656 1400 60.0 0.0788 1680 70.0 0.0919 1960 80.0 0.105 2240 90.0 0.118 2520 100 0.131 2800 200 0.263 5600 300 0.394 8400 400 0.525 1.12 × 104 500 0.656 1.40 × 104 600 0.788 1.68 × 104 700 0.919 1.96 × 104 800 1.05 2.24 × 104 900 1.18 2.52 × 104 1000 1.31 2.80 × 104 2000 2.63 5.60 × 104 3000 3.94 8.40 × 104 4000 5.25 1.12 × 105 5000 6.56 1.40 × 105 6000 7.88 1.68 × 105 7000 9.19 1.96 × 105 8000 10.5 2.24 × 105 9000 11.8 2.52 × 105 9400 12.3 2.63 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 30.0 0.124 1490 40.0 0.166 1990 50.0 0.207 2490 60.0 0.249 2990 70.0 0.290 3480 80.0 0.332 3980 90.0 0.373 4480 100 0.415 4980 200 0.830 9950 300 1.24 1.49 × 104 400 1.66 1.99 × 104 500 2.07 2.49 × 104 600 2.49 2.99 × 104 700 2.90 3.48 × 104 800 3.32 3.98 × 104 900 3.73 4.48 × 104 1000 4.15 4.98 × 104 2000 8.30 9.95 × 104 2970 12.3 1.48 × 105
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 30.0 0.304 2330 40.0 0.405 3110 50.0 0.507 3890 60.0 0.608 4670 70.0 0.709 5440 80.0 0.810 6220 90.0 0.912 7000 100 1.01 7780 200 2.03 1.56 × 104 300 3.04 2.33 × 104 400 4.05 3.11 × 104 500 5.07 3.89 × 104 600 6.08 4.67 × 104 700 7.09 5.44 × 104 800 8.10 6.22 × 104 900 9.12 7.00 × 104 1000 10.1 7.78 × 104 1220 12.3 9.47 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 30.0 0.630 3360 40.0 0.840 4480 50.0 1.05 5600 60.0 1.26 6720 70.0 1.47 7840 80.0 1.68 8960 90.0 1.89 1.01 × 104 100 2.10 1.12 × 104 200 4.20 2.24 × 104 300 6.30 3.36 × 104 400 8.40 4.48 × 104 500 10.5 5.60 × 104 587 12.3 6.58 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 30.0 1.17 4570 40.0 1.56 6100 50.0 1.95 7620 60.0 2.34 9150 70.0 2.72 1.07 × 104 80.0 3.11 1.22 × 104 90.0 3.50 1.37 × 104 100 3.89 1.52 × 104 200 7.78 3.05 × 104 300 11.7 4.57 × 104 317 12.3 4.83 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 30.0 1.99 5970 40.0 2.66 7960 50.0 3.32 9950 60.0 3.98 1.19 × 104 70.0 4.65 1.39 × 104 80.0 5.31 1.59 × 104 90.0 5.98 1.79 × 104 100 6.64 1.99 × 104 186 12.3 3.70 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 30.0 3.19 7560 40.0 4.25 1.01 × 104 50.0 5.32 1.26 × 104 60.0 6.38 1.51 × 104 70.0 7.44 1.76 × 104 80.0 8.51 2.02 × 104 90.0 9.57 2.27 × 104 100 10.6 2.52 × 104 116 12.3 2.92 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 30.0 4.86 9330 40.0 6.48 1.24 × 104 50.0 8.10 1.56 × 104 60.0 9.73 1.87 × 104 70.0 11.3 2.18 × 104 76.1 12.3 2.37 × 104
 Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 30.0 11.9 1.46 × 104 31.2 12.3 1.52 × 104