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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 16
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 = 103 in4) for the W12 × 16 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 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 16.0 4.85 × 10-6 10.1 20.0 6.07 × 10-6 12.6 30.0 9.10 × 10-6 18.9 40.0 1.21 × 10-5 25.1 50.0 1.52 × 10-5 31.4 60.0 1.82 × 10-5 37.7 70.0 2.12 × 10-5 44.0 80.0 2.43 × 10-5 50.3 90.0 2.73 × 10-5 56.6 100 3.03 × 10-5 62.9 200 6.07 × 10-5 126 300 9.10 × 10-5 189 400 1.21 × 10-4 251 500 1.52 × 10-4 314 600 1.82 × 10-4 377 700 2.12 × 10-4 440 800 2.43 × 10-4 503 900 2.73 × 10-4 566 1000 3.03 × 10-4 629 2000 6.07 × 10-4 1260 3000 9.10 × 10-4 1890 4000 0.00121 2510 5000 0.00152 3140 6000 0.00182 3770 7000 0.00212 4400 8000 0.00243 5030 9000 0.00273 5660 1.00 × 104 0.00303 6290 2.00 × 104 0.00607 1.26 × 104 3.00 × 104 0.00910 1.89 × 104 4.00 × 104 0.0121 2.51 × 104 5.00 × 104 0.0152 3.14 × 104 6.00 × 104 0.0182 3.77 × 104 7.00 × 104 0.0212 4.40 × 104 8.00 × 104 0.0243 5.03 × 104 9.00 × 104 0.0273 5.66 × 104 1.00 × 105 0.0303 6.29 × 104 2.00 × 105 0.0607 1.26 × 105 3.00 × 105 0.0910 1.89 × 105 4.00 × 105 0.121 2.51 × 105 4.73 × 105 0.143 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 16.0 3.75 × 10-5 27.9 20.0 4.68 × 10-5 34.9 30.0 7.02 × 10-5 52.4 40.0 9.36 × 10-5 69.8 50.0 1.17 × 10-4 87.3 60.0 1.40 × 10-4 105 70.0 1.64 × 10-4 122 80.0 1.87 × 10-4 140 90.0 2.11 × 10-4 157 100 2.34 × 10-4 175 200 4.68 × 10-4 349 300 7.02 × 10-4 524 400 9.36 × 10-4 698 500 0.00117 873 600 0.00140 1050 700 0.00164 1220 800 0.00187 1400 900 0.00211 1570 1000 0.00234 1750 2000 0.00468 3490 3000 0.00702 5240 4000 0.00936 6980 5000 0.0117 8730 6000 0.0140 1.05 × 104 7000 0.0164 1.22 × 104 8000 0.0187 1.40 × 104 9000 0.0211 1.57 × 104 1.00 × 104 0.0234 1.75 × 104 2.00 × 104 0.0468 3.49 × 104 3.00 × 104 0.0702 5.24 × 104 4.00 × 104 0.0936 6.98 × 104 5.00 × 104 0.117 8.73 × 104 6.00 × 104 0.140 1.05 × 105 7.00 × 104 0.164 1.22 × 105 8.00 × 104 0.187 1.40 × 105 9.00 × 104 0.211 1.57 × 105 1.00 × 105 0.234 1.75 × 105 1.70 × 105 0.398 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 16.0 5.99 × 10-4 112 20.0 7.49 × 10-4 140 30.0 0.00112 210 40.0 0.00150 279 50.0 0.00187 349 60.0 0.00225 419 70.0 0.00262 489 80.0 0.00300 559 90.0 0.00337 629 100 0.00375 698 200 0.00749 1400 300 0.0112 2100 400 0.0150 2790 500 0.0187 3490 600 0.0225 4190 700 0.0262 4890 800 0.0300 5590 900 0.0337 6290 1000 0.0375 6980 2000 0.0749 1.40 × 104 3000 0.112 2.10 × 104 4000 0.150 2.79 × 104 5000 0.187 3.49 × 104 6000 0.225 4.19 × 104 7000 0.262 4.89 × 104 8000 0.300 5.59 × 104 9000 0.337 6.29 × 104 1.00 × 104 0.375 6.98 × 104 2.00 × 104 0.749 1.40 × 105 3.00 × 104 1.12 2.10 × 105 4.00 × 104 1.50 2.79 × 105 4.25 × 104 1.59 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 16.0 0.00303 251 20.0 0.00379 314 30.0 0.00569 471 40.0 0.00758 629 50.0 0.00948 786 60.0 0.0114 943 70.0 0.0133 1100 80.0 0.0152 1260 90.0 0.0171 1410 100 0.0190 1570 200 0.0379 3140 300 0.0569 4710 400 0.0758 6290 500 0.0948 7860 600 0.114 9430 700 0.133 1.10 × 104 800 0.152 1.26 × 104 900 0.171 1.41 × 104 1000 0.190 1.57 × 104 2000 0.379 3.14 × 104 3000 0.569 4.71 × 104 4000 0.758 6.29 × 104 5000 0.948 7.86 × 104 6000 1.14 9.43 × 104 7000 1.33 1.10 × 105 8000 1.52 1.26 × 105 9000 1.71 1.41 × 105 1.00 × 104 1.90 1.57 × 105 1.89 × 104 3.58 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 16.0 0.00959 447 20.0 0.0120 559 30.0 0.0180 838 40.0 0.0240 1120 50.0 0.0300 1400 60.0 0.0360 1680 70.0 0.0420 1960 80.0 0.0479 2240 90.0 0.0539 2510 100 0.0599 2790 200 0.120 5590 300 0.180 8380 400 0.240 1.12 × 104 500 0.300 1.40 × 104 600 0.360 1.68 × 104 700 0.420 1.96 × 104 800 0.479 2.24 × 104 900 0.539 2.51 × 104 1000 0.599 2.79 × 104 2000 1.20 5.59 × 104 3000 1.80 8.38 × 104 4000 2.40 1.12 × 105 5000 3.00 1.40 × 105 6000 3.60 1.68 × 105 7000 4.20 1.96 × 105 8000 4.79 2.24 × 105 9000 5.39 2.51 × 105 1.00 × 104 5.99 2.79 × 105 1.06 × 104 6.37 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 16.0 0.0234 698 20.0 0.0293 873 30.0 0.0439 1310 40.0 0.0585 1750 50.0 0.0732 2180 60.0 0.0878 2620 70.0 0.102 3060 80.0 0.117 3490 90.0 0.132 3930 100 0.146 4370 200 0.293 8730 300 0.439 1.31 × 104 400 0.585 1.75 × 104 500 0.732 2.18 × 104 600 0.878 2.62 × 104 700 1.02 3.06 × 104 800 1.17 3.49 × 104 900 1.32 3.93 × 104 1000 1.46 4.37 × 104 2000 2.93 8.73 × 104 3000 4.39 1.31 × 105 4000 5.85 1.75 × 105 5000 7.32 2.18 × 105 6000 8.78 2.62 × 105 6800 9.96 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 16.0 0.0485 1010 20.0 0.0607 1260 30.0 0.0910 1890 40.0 0.121 2510 50.0 0.152 3140 60.0 0.182 3770 70.0 0.212 4400 80.0 0.243 5030 90.0 0.273 5660 100 0.303 6290 200 0.607 1.26 × 104 300 0.910 1.89 × 104 400 1.21 2.51 × 104 500 1.52 3.14 × 104 600 1.82 3.77 × 104 700 2.12 4.40 × 104 800 2.43 5.03 × 104 900 2.73 5.66 × 104 1000 3.03 6.29 × 104 2000 6.07 1.26 × 105 3000 9.10 1.89 × 105 3950 12.0 2.48 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 16.0 0.153 1790 20.0 0.192 2240 30.0 0.288 3350 40.0 0.384 4470 50.0 0.479 5590 60.0 0.575 6710 70.0 0.671 7820 80.0 0.767 8940 90.0 0.863 1.01 × 104 100 0.959 1.12 × 104 200 1.92 2.24 × 104 300 2.88 3.35 × 104 400 3.84 4.47 × 104 500 4.79 5.59 × 104 600 5.75 6.71 × 104 700 6.71 7.82 × 104 800 7.67 8.94 × 104 900 8.63 1.01 × 105 1000 9.59 1.12 × 105 1250 12.0 1.40 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 16.0 0.375 2790 20.0 0.468 3490 30.0 0.702 5240 40.0 0.936 6980 50.0 1.17 8730 60.0 1.40 1.05 × 104 70.0 1.64 1.22 × 104 80.0 1.87 1.40 × 104 90.0 2.11 1.57 × 104 100 2.34 1.75 × 104 200 4.68 3.49 × 104 300 7.02 5.24 × 104 400 9.36 6.98 × 104 500 11.7 8.73 × 104 512 12.0 8.94 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 16.0 0.777 4020 20.0 0.971 5030 30.0 1.46 7540 40.0 1.94 1.01 × 104 50.0 2.43 1.26 × 104 60.0 2.91 1.51 × 104 70.0 3.40 1.76 × 104 80.0 3.88 2.01 × 104 90.0 4.37 2.26 × 104 100 4.85 2.51 × 104 200 9.71 5.03 × 104 247 12.0 6.21 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 16.0 1.44 5480 20.0 1.80 6840 30.0 2.70 1.03 × 104 40.0 3.60 1.37 × 104 50.0 4.50 1.71 × 104 60.0 5.40 2.05 × 104 70.0 6.30 2.40 × 104 80.0 7.19 2.74 × 104 90.0 8.09 3.08 × 104 100 8.99 3.42 × 104 133 12.0 4.56 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 16.0 2.45 7150 20.0 3.07 8940 30.0 4.60 1.34 × 104 40.0 6.14 1.79 × 104 50.0 7.67 2.24 × 104 60.0 9.21 2.68 × 104 70.0 10.7 3.13 × 104 78.2 12.0 3.49 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 16.0 3.93 9050 20.0 4.91 1.13 × 104 30.0 7.37 1.70 × 104 40.0 9.83 2.26 × 104 48.8 12.0 2.76 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 16.0 5.99 1.12 × 104 20.0 7.49 1.40 × 104 30.0 11.2 2.10 × 104 32.0 12.0 2.24 × 104