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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 12
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 = 53.8 in4) for the W10 × 12 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 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 12.0 6.97 × 10-6 11.9 20.0 1.16 × 10-5 19.8 30.0 1.74 × 10-5 29.7 40.0 2.32 × 10-5 39.6 50.0 2.90 × 10-5 49.5 60.0 3.49 × 10-5 59.4 70.0 4.07 × 10-5 69.3 80.0 4.65 × 10-5 79.3 90.0 5.23 × 10-5 89.2 100 5.81 × 10-5 99.1 200 1.16 × 10-4 198 300 1.74 × 10-4 297 400 2.32 × 10-4 396 500 2.90 × 10-4 495 600 3.49 × 10-4 594 700 4.07 × 10-4 693 800 4.65 × 10-4 793 900 5.23 × 10-4 892 1000 5.81 × 10-4 991 2000 0.00116 1980 3000 0.00174 2970 4000 0.00232 3960 5000 0.00290 4950 6000 0.00349 5940 7000 0.00407 6930 8000 0.00465 7930 9000 0.00523 8920 1.00 × 104 0.00581 9910 2.00 × 104 0.0116 1.98 × 104 3.00 × 104 0.0174 2.97 × 104 4.00 × 104 0.0232 3.96 × 104 5.00 × 104 0.0290 4.95 × 104 6.00 × 104 0.0349 5.94 × 104 7.00 × 104 0.0407 6.93 × 104 8.00 × 104 0.0465 7.93 × 104 9.00 × 104 0.0523 8.92 × 104 1.00 × 105 0.0581 9.91 × 104 2.00 × 105 0.116 1.98 × 105 3.00 × 105 0.174 2.97 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 12.0 5.38 × 10-5 33.0 20.0 8.96 × 10-5 55.0 30.0 1.34 × 10-4 82.6 40.0 1.79 × 10-4 110 50.0 2.24 × 10-4 138 60.0 2.69 × 10-4 165 70.0 3.14 × 10-4 193 80.0 3.59 × 10-4 220 90.0 4.03 × 10-4 248 100 4.48 × 10-4 275 200 8.96 × 10-4 550 300 0.00134 826 400 0.00179 1100 500 0.00224 1380 600 0.00269 1650 700 0.00314 1930 800 0.00359 2200 900 0.00403 2480 1000 0.00448 2750 2000 0.00896 5500 3000 0.0134 8260 4000 0.0179 1.10 × 104 5000 0.0224 1.38 × 104 6000 0.0269 1.65 × 104 7000 0.0314 1.93 × 104 8000 0.0359 2.20 × 104 9000 0.0403 2.48 × 104 1.00 × 104 0.0448 2.75 × 104 2.00 × 104 0.0896 5.50 × 104 3.00 × 104 0.134 8.26 × 104 4.00 × 104 0.179 1.10 × 105 5.00 × 104 0.224 1.38 × 105 6.00 × 104 0.269 1.65 × 105 7.00 × 104 0.314 1.93 × 105 8.00 × 104 0.359 2.20 × 105 9.00 × 104 0.403 2.48 × 105 1.00 × 105 0.448 2.75 × 105 1.08 × 105 0.484 2.97 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 12.0 8.60 × 10-4 132 20.0 0.00143 220 30.0 0.00215 330 40.0 0.00287 440 50.0 0.00359 550 60.0 0.00430 660 70.0 0.00502 771 80.0 0.00574 881 90.0 0.00645 991 100 0.00717 1100 200 0.0143 2200 300 0.0215 3300 400 0.0287 4400 500 0.0359 5500 600 0.0430 6600 700 0.0502 7710 800 0.0574 8810 900 0.0645 9910 1000 0.0717 1.10 × 104 2000 0.143 2.20 × 104 3000 0.215 3.30 × 104 4000 0.287 4.40 × 104 5000 0.359 5.50 × 104 6000 0.430 6.60 × 104 7000 0.502 7.71 × 104 8000 0.574 8.81 × 104 9000 0.645 9.91 × 104 1.00 × 104 0.717 1.10 × 105 2.00 × 104 1.43 2.20 × 105 2.70 × 104 1.94 2.97 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 12.0 0.00436 297 20.0 0.00726 495 30.0 0.0109 743 40.0 0.0145 991 50.0 0.0182 1240 60.0 0.0218 1490 70.0 0.0254 1730 80.0 0.0290 1980 90.0 0.0327 2230 100 0.0363 2480 200 0.0726 4950 300 0.109 7430 400 0.145 9910 500 0.182 1.24 × 104 600 0.218 1.49 × 104 700 0.254 1.73 × 104 800 0.290 1.98 × 104 900 0.327 2.23 × 104 1000 0.363 2.48 × 104 2000 0.726 4.95 × 104 3000 1.09 7.43 × 104 4000 1.45 9.91 × 104 5000 1.82 1.24 × 105 6000 2.18 1.49 × 105 7000 2.54 1.73 × 105 8000 2.90 1.98 × 105 9000 3.27 2.23 × 105 1.00 × 104 3.63 2.48 × 105 1.20 × 104 4.35 2.97 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 12.0 0.0138 528 20.0 0.0229 881 30.0 0.0344 1320 40.0 0.0459 1760 50.0 0.0574 2200 60.0 0.0688 2640 70.0 0.0803 3080 80.0 0.0918 3520 90.0 0.103 3960 100 0.115 4400 200 0.229 8810 300 0.344 1.32 × 104 400 0.459 1.76 × 104 500 0.574 2.20 × 104 600 0.688 2.64 × 104 700 0.803 3.08 × 104 800 0.918 3.52 × 104 900 1.03 3.96 × 104 1000 1.15 4.40 × 104 2000 2.29 8.81 × 104 3000 3.44 1.32 × 105 4000 4.59 1.76 × 105 5000 5.74 2.20 × 105 6000 6.88 2.64 × 105 6750 7.74 2.97 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 12.0 0.0336 826 20.0 0.0560 1380 30.0 0.0840 2060 40.0 0.112 2750 50.0 0.140 3440 60.0 0.168 4130 70.0 0.196 4820 80.0 0.224 5500 90.0 0.252 6190 100 0.280 6880 200 0.560 1.38 × 104 300 0.840 2.06 × 104 400 1.12 2.75 × 104 500 1.40 3.44 × 104 600 1.68 4.13 × 104 700 1.96 4.82 × 104 800 2.24 5.50 × 104 900 2.52 6.19 × 104 1000 2.80 6.88 × 104 2000 5.60 1.38 × 105 3000 8.40 2.06 × 105 3520 9.87 2.42 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 12.0 0.0697 1190 20.0 0.116 1980 30.0 0.174 2970 40.0 0.232 3960 50.0 0.290 4950 60.0 0.349 5940 70.0 0.407 6930 80.0 0.465 7930 90.0 0.523 8920 100 0.581 9910 200 1.16 1.98 × 104 300 1.74 2.97 × 104 400 2.32 3.96 × 104 500 2.90 4.95 × 104 600 3.49 5.94 × 104 700 4.07 6.93 × 104 800 4.65 7.93 × 104 900 5.23 8.92 × 104 1000 5.81 9.91 × 104 1700 9.87 1.68 × 105
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 12.0 0.220 2110 20.0 0.367 3520 30.0 0.551 5280 40.0 0.734 7040 50.0 0.918 8810 60.0 1.10 1.06 × 104 70.0 1.29 1.23 × 104 80.0 1.47 1.41 × 104 90.0 1.65 1.59 × 104 100 1.84 1.76 × 104 200 3.67 3.52 × 104 300 5.51 5.28 × 104 400 7.34 7.04 × 104 500 9.18 8.81 × 104 538 9.87 9.47 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 12.0 0.538 3300 20.0 0.896 5500 30.0 1.34 8260 40.0 1.79 1.10 × 104 50.0 2.24 1.38 × 104 60.0 2.69 1.65 × 104 70.0 3.14 1.93 × 104 80.0 3.59 2.20 × 104 90.0 4.03 2.48 × 104 100 4.48 2.75 × 104 200 8.96 5.50 × 104 220 9.87 6.06 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 12.0 1.12 4760 20.0 1.86 7930 30.0 2.79 1.19 × 104 40.0 3.72 1.59 × 104 50.0 4.65 1.98 × 104 60.0 5.58 2.38 × 104 70.0 6.51 2.77 × 104 80.0 7.43 3.17 × 104 90.0 8.36 3.57 × 104 100 9.29 3.96 × 104 106 9.87 4.21 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 12.0 2.07 6470 20.0 3.44 1.08 × 104 30.0 5.17 1.62 × 104 40.0 6.89 2.16 × 104 50.0 8.61 2.70 × 104 57.3 9.87 3.09 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 12.0 3.52 8450 20.0 5.87 1.41 × 104 30.0 8.81 2.11 × 104 33.6 9.87 2.37 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 12.0 5.65 1.07 × 104 20.0 9.41 1.78 × 104 21.0 9.87 1.87 × 104
 Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 12.0 8.60 1.32 × 104 13.8 9.87 1.52 × 104
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