Wide Flange Steel I Beam: W12 × 16

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 4.50 × 10-6 10.8 20.0 5.62 × 10-6 13.5 30.0 8.43 × 10-6 20.2 40.0 1.12 × 10-5 26.9 50.0 1.41 × 10-5 33.7 60.0 1.69 × 10-5 40.4 70.0 1.97 × 10-5 47.1 80.0 2.25 × 10-5 53.9 90.0 2.53 × 10-5 60.6 100 2.81 × 10-5 67.3 200 5.62 × 10-5 135 300 8.43 × 10-5 202 400 1.12 × 10-4 269 500 1.41 × 10-4 337 600 1.69 × 10-4 404 700 1.97 × 10-4 471 800 2.25 × 10-4 539 900 2.53 × 10-4 606 1000 2.81 × 10-4 673 2000 5.62 × 10-4 1350 3000 8.43 × 10-4 2020 4000 0.00112 2690 5000 0.00141 3370 6000 0.00169 4040 7000 0.00197 4710 8000 0.00225 5390 9000 0.00253 6060 1.00 × 104 0.00281 6730 2.00 × 104 0.00562 1.35 × 104 3.00 × 104 0.00843 2.02 × 104 4.00 × 104 0.0112 2.69 × 104 5.00 × 104 0.0141 3.37 × 104 6.00 × 104 0.0169 4.04 × 104 7.00 × 104 0.0197 4.71 × 104 8.00 × 104 0.0225 5.39 × 104 9.00 × 104 0.0253 6.06 × 104 1.00 × 105 0.0281 6.73 × 104 2.00 × 105 0.0562 1.35 × 105 3.00 × 105 0.0843 2.02 × 105 4.00 × 105 0.112 2.69 × 105 4.41 × 105 0.124 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 3.47 × 10-5 29.9 20.0 4.34 × 10-5 37.4 30.0 6.51 × 10-5 56.1 40.0 8.68 × 10-5 74.8 50.0 1.08 × 10-4 93.5 60.0 1.30 × 10-4 112 70.0 1.52 × 10-4 131 80.0 1.74 × 10-4 150 90.0 1.95 × 10-4 168 100 2.17 × 10-4 187 200 4.34 × 10-4 374 300 6.51 × 10-4 561 400 8.68 × 10-4 748 500 0.00108 935 600 0.00130 1120 700 0.00152 1310 800 0.00174 1500 900 0.00195 1680 1000 0.00217 1870 2000 0.00434 3740 3000 0.00651 5610 4000 0.00868 7480 5000 0.0108 9350 6000 0.0130 1.12 × 104 7000 0.0152 1.31 × 104 8000 0.0174 1.50 × 104 9000 0.0195 1.68 × 104 1.00 × 104 0.0217 1.87 × 104 2.00 × 104 0.0434 3.74 × 104 3.00 × 104 0.0651 5.61 × 104 4.00 × 104 0.0868 7.48 × 104 5.00 × 104 0.108 9.35 × 104 6.00 × 104 0.130 1.12 × 105 7.00 × 104 0.152 1.31 × 105 8.00 × 104 0.174 1.50 × 105 9.00 × 104 0.195 1.68 × 105 1.00 × 105 0.217 1.87 × 105 1.59 × 105 0.344 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 5.55 × 10-4 120 20.0 6.94 × 10-4 150 30.0 0.00104 224 40.0 0.00139 299 50.0 0.00174 374 60.0 0.00208 449 70.0 0.00243 524 80.0 0.00278 598 90.0 0.00312 673 100 0.00347 748 200 0.00694 1500 300 0.0104 2240 400 0.0139 2990 500 0.0174 3740 600 0.0208 4490 700 0.0243 5240 800 0.0278 5980 900 0.0312 6730 1000 0.0347 7480 2000 0.0694 1.50 × 104 3000 0.104 2.24 × 104 4000 0.139 2.99 × 104 5000 0.174 3.74 × 104 6000 0.208 4.49 × 104 7000 0.243 5.24 × 104 8000 0.278 5.98 × 104 9000 0.312 6.73 × 104 1.00 × 104 0.347 7.48 × 104 2.00 × 104 0.694 1.50 × 105 3.00 × 104 1.04 2.24 × 105 3.97 × 104 1.38 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 0.00281 269 20.0 0.00351 337 30.0 0.00527 505 40.0 0.00703 673 50.0 0.00878 842 60.0 0.0105 1010 70.0 0.0123 1180 80.0 0.0141 1350 90.0 0.0158 1510 100 0.0176 1680 200 0.0351 3370 300 0.0527 5050 400 0.0703 6730 500 0.0878 8420 600 0.105 1.01 × 104 700 0.123 1.18 × 104 800 0.141 1.35 × 104 900 0.158 1.51 × 104 1000 0.176 1.68 × 104 2000 0.351 3.37 × 104 3000 0.527 5.05 × 104 4000 0.703 6.73 × 104 5000 0.878 8.42 × 104 6000 1.05 1.01 × 105 7000 1.23 1.18 × 105 8000 1.41 1.35 × 105 9000 1.58 1.51 × 105 1.00 × 104 1.76 1.68 × 105 1.76 × 104 3.10 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 0.00888 479 20.0 0.0111 598 30.0 0.0167 898 40.0 0.0222 1200 50.0 0.0278 1500 60.0 0.0333 1800 70.0 0.0389 2090 80.0 0.0444 2390 90.0 0.0500 2690 100 0.0555 2990 200 0.111 5980 300 0.167 8980 400 0.222 1.20 × 104 500 0.278 1.50 × 104 600 0.333 1.80 × 104 700 0.389 2.09 × 104 800 0.444 2.39 × 104 900 0.500 2.69 × 104 1000 0.555 2.99 × 104 2000 1.11 5.98 × 104 3000 1.67 8.98 × 104 4000 2.22 1.20 × 105 5000 2.78 1.50 × 105 6000 3.33 1.80 × 105 7000 3.89 2.09 × 105 8000 4.44 2.39 × 105 9000 5.00 2.69 × 105 9930 5.51 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 0.0217 748 20.0 0.0271 935 30.0 0.0407 1400 40.0 0.0542 1870 50.0 0.0678 2340 60.0 0.0813 2810 70.0 0.0949 3270 80.0 0.108 3740 90.0 0.122 4210 100 0.136 4680 200 0.271 9350 300 0.407 1.40 × 104 400 0.542 1.87 × 104 500 0.678 2.34 × 104 600 0.813 2.81 × 104 700 0.949 3.27 × 104 800 1.08 3.74 × 104 900 1.22 4.21 × 104 1000 1.36 4.68 × 104 2000 2.71 9.35 × 104 3000 4.07 1.40 × 105 4000 5.42 1.87 × 105 5000 6.78 2.34 × 105 6000 8.13 2.81 × 105 6350 8.61 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 0.0450 1080 20.0 0.0562 1350 30.0 0.0843 2020 40.0 0.112 2690 50.0 0.141 3370 60.0 0.169 4040 70.0 0.197 4710 80.0 0.225 5390 90.0 0.253 6060 100 0.281 6730 200 0.562 1.35 × 104 300 0.843 2.02 × 104 400 1.12 2.69 × 104 500 1.41 3.37 × 104 600 1.69 4.04 × 104 700 1.97 4.71 × 104 800 2.25 5.39 × 104 900 2.53 6.06 × 104 1000 2.81 6.73 × 104 2000 5.62 1.35 × 105 3000 8.43 2.02 × 105 4000 11.2 2.69 × 105 4410 12.4 2.97 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 16.0 0.142 1910 20.0 0.178 2390 30.0 0.267 3590 40.0 0.355 4790 50.0 0.444 5980 60.0 0.533 7180 70.0 0.622 8380 80.0 0.711 9570 90.0 0.800 1.08 × 104 100 0.888 1.20 × 104 200 1.78 2.39 × 104 300 2.67 3.59 × 104 400 3.55 4.79 × 104 500 4.44 5.98 × 104 600 5.33 7.18 × 104 700 6.22 8.38 × 104 800 7.11 9.57 × 104 900 8.00 1.08 × 105 1000 8.88 1.20 × 105 1350 12.0 1.62 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 16.0 0.347 2990 20.0 0.434 3740 30.0 0.651 5610 40.0 0.868 7480 50.0 1.08 9350 60.0 1.30 1.12 × 104 70.0 1.52 1.31 × 104 80.0 1.74 1.50 × 104 90.0 1.95 1.68 × 104 100 2.17 1.87 × 104 200 4.34 3.74 × 104 300 6.51 5.61 × 104 400 8.68 7.48 × 104 500 10.8 9.35 × 104 553 12.0 1.03 × 105
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 16.0 0.720 4310 20.0 0.899 5390 30.0 1.35 8080 40.0 1.80 1.08 × 104 50.0 2.25 1.35 × 104 60.0 2.70 1.62 × 104 70.0 3.15 1.89 × 104 80.0 3.60 2.15 × 104 90.0 4.05 2.42 × 104 100 4.50 2.69 × 104 200 8.99 5.39 × 104 267 12.0 7.18 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 16.0 1.33 5860 20.0 1.67 7330 30.0 2.50 1.10 × 104 40.0 3.33 1.47 × 104 50.0 4.17 1.83 × 104 60.0 5.00 2.20 × 104 70.0 5.83 2.57 × 104 80.0 6.67 2.93 × 104 90.0 7.50 3.30 × 104 100 8.33 3.67 × 104 144 12.0 5.27 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 16.0 2.27 7660 20.0 2.84 9570 30.0 4.26 1.44 × 104 40.0 5.69 1.91 × 104 50.0 7.11 2.39 × 104 60.0 8.53 2.87 × 104 70.0 9.95 3.35 × 104 80.0 11.4 3.83 × 104 84.4 12.0 4.04 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 16.0 3.64 9690 20.0 4.55 1.21 × 104 30.0 6.83 1.82 × 104 40.0 9.11 2.42 × 104 50.0 11.4 3.03 × 104 52.7 12.0 3.19 × 104
 Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 16.0 5.55 1.20 × 104 20.0 6.94 1.50 × 104 30.0 10.4 2.24 × 104 34.6 12.0 2.58 × 104