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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 19
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 = 130 in4) for the W12 × 19 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 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 19.0 4.23 × 10-6 10.3 20.0 4.45 × 10-6 10.8 30.0 6.68 × 10-6 16.2 40.0 8.91 × 10-6 21.6 50.0 1.11 × 10-5 27.0 60.0 1.34 × 10-5 32.5 70.0 1.56 × 10-5 37.9 80.0 1.78 × 10-5 43.3 90.0 2.00 × 10-5 48.7 100 2.23 × 10-5 54.1 200 4.45 × 10-5 108 300 6.68 × 10-5 162 400 8.91 × 10-5 216 500 1.11 × 10-4 270 600 1.34 × 10-4 325 700 1.56 × 10-4 379 800 1.78 × 10-4 433 900 2.00 × 10-4 487 1000 2.23 × 10-4 541 2000 4.45 × 10-4 1080 3000 6.68 × 10-4 1620 4000 8.91 × 10-4 2160 5000 0.00111 2700 6000 0.00134 3250 7000 0.00156 3790 8000 0.00178 4330 9000 0.00200 4870 1.00 × 104 0.00223 5410 2.00 × 104 0.00445 1.08 × 104 3.00 × 104 0.00668 1.62 × 104 4.00 × 104 0.00891 2.16 × 104 5.00 × 104 0.0111 2.70 × 104 6.00 × 104 0.0134 3.25 × 104 7.00 × 104 0.0156 3.79 × 104 8.00 × 104 0.0178 4.33 × 104 9.00 × 104 0.0200 4.87 × 104 1.00 × 105 0.0223 5.41 × 104 2.00 × 105 0.0445 1.08 × 105 3.00 × 105 0.0668 1.62 × 105 4.00 × 105 0.0891 2.16 × 105 5.00 × 105 0.111 2.70 × 105 5.49 × 105 0.122 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 19.0 3.26 × 10-5 28.6 20.0 3.44 × 10-5 30.1 30.0 5.16 × 10-5 45.1 40.0 6.87 × 10-5 60.1 50.0 8.59 × 10-5 75.1 60.0 1.03 × 10-4 90.2 70.0 1.20 × 10-4 105 80.0 1.37 × 10-4 120 90.0 1.55 × 10-4 135 100 1.72 × 10-4 150 200 3.44 × 10-4 301 300 5.16 × 10-4 451 400 6.87 × 10-4 601 500 8.59 × 10-4 751 600 0.00103 902 700 0.00120 1050 800 0.00137 1200 900 0.00155 1350 1000 0.00172 1500 2000 0.00344 3010 3000 0.00516 4510 4000 0.00687 6010 5000 0.00859 7510 6000 0.0103 9020 7000 0.0120 1.05 × 104 8000 0.0137 1.20 × 104 9000 0.0155 1.35 × 104 1.00 × 104 0.0172 1.50 × 104 2.00 × 104 0.0344 3.01 × 104 3.00 × 104 0.0516 4.51 × 104 4.00 × 104 0.0687 6.01 × 104 5.00 × 104 0.0859 7.51 × 104 6.00 × 104 0.103 9.02 × 104 7.00 × 104 0.120 1.05 × 105 8.00 × 104 0.137 1.20 × 105 9.00 × 104 0.155 1.35 × 105 1.00 × 105 0.172 1.50 × 105 1.98 × 105 0.340 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 19.0 5.22 × 10-4 114 20.0 5.50 × 10-4 120 30.0 8.25 × 10-4 180 40.0 0.00110 240 50.0 0.00137 301 60.0 0.00165 361 70.0 0.00192 421 80.0 0.00220 481 90.0 0.00247 541 100 0.00275 601 200 0.00550 1200 300 0.00825 1800 400 0.0110 2400 500 0.0137 3010 600 0.0165 3610 700 0.0192 4210 800 0.0220 4810 900 0.0247 5410 1000 0.0275 6010 2000 0.0550 1.20 × 104 3000 0.0825 1.80 × 104 4000 0.110 2.40 × 104 5000 0.137 3.01 × 104 6000 0.165 3.61 × 104 7000 0.192 4.21 × 104 8000 0.220 4.81 × 104 9000 0.247 5.41 × 104 1.00 × 104 0.275 6.01 × 104 2.00 × 104 0.550 1.20 × 105 3.00 × 104 0.825 1.80 × 105 4.00 × 104 1.10 2.40 × 105 4.94 × 104 1.36 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 19.0 0.00264 257 20.0 0.00278 270 30.0 0.00418 406 40.0 0.00557 541 50.0 0.00696 676 60.0 0.00835 811 70.0 0.00974 947 80.0 0.0111 1080 90.0 0.0125 1220 100 0.0139 1350 200 0.0278 2700 300 0.0418 4060 400 0.0557 5410 500 0.0696 6760 600 0.0835 8110 700 0.0974 9470 800 0.111 1.08 × 104 900 0.125 1.22 × 104 1000 0.139 1.35 × 104 2000 0.278 2.70 × 104 3000 0.418 4.06 × 104 4000 0.557 5.41 × 104 5000 0.696 6.76 × 104 6000 0.835 8.11 × 104 7000 0.974 9.47 × 104 8000 1.11 1.08 × 105 9000 1.25 1.22 × 105 1.00 × 104 1.39 1.35 × 105 2.00 × 104 2.78 2.70 × 105 2.20 × 104 3.06 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 19.0 0.00836 457 20.0 0.00880 481 30.0 0.0132 721 40.0 0.0176 962 50.0 0.0220 1200 60.0 0.0264 1440 70.0 0.0308 1680 80.0 0.0352 1920 90.0 0.0396 2160 100 0.0440 2400 200 0.0880 4810 300 0.132 7210 400 0.176 9620 500 0.220 1.20 × 104 600 0.264 1.44 × 104 700 0.308 1.68 × 104 800 0.352 1.92 × 104 900 0.396 2.16 × 104 1000 0.440 2.40 × 104 2000 0.880 4.81 × 104 3000 1.32 7.21 × 104 4000 1.76 9.62 × 104 5000 2.20 1.20 × 105 6000 2.64 1.44 × 105 7000 3.08 1.68 × 105 8000 3.52 1.92 × 105 9000 3.96 2.16 × 105 1.00 × 104 4.40 2.40 × 105 1.24 × 104 5.43 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 19.0 0.0204 714 20.0 0.0215 751 30.0 0.0322 1130 40.0 0.0430 1500 50.0 0.0537 1880 60.0 0.0644 2250 70.0 0.0752 2630 80.0 0.0859 3010 90.0 0.0967 3380 100 0.107 3760 200 0.215 7510 300 0.322 1.13 × 104 400 0.430 1.50 × 104 500 0.537 1.88 × 104 600 0.644 2.25 × 104 700 0.752 2.63 × 104 800 0.859 3.01 × 104 900 0.967 3.38 × 104 1000 1.07 3.76 × 104 2000 2.15 7.51 × 104 3000 3.22 1.13 × 105 4000 4.30 1.50 × 105 5000 5.37 1.88 × 105 6000 6.44 2.25 × 105 7000 7.52 2.63 × 105 7910 8.49 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 19.0 0.0423 1030 20.0 0.0445 1080 30.0 0.0668 1620 40.0 0.0891 2160 50.0 0.111 2700 60.0 0.134 3250 70.0 0.156 3790 80.0 0.178 4330 90.0 0.200 4870 100 0.223 5410 200 0.445 1.08 × 104 300 0.668 1.62 × 104 400 0.891 2.16 × 104 500 1.11 2.70 × 104 600 1.34 3.25 × 104 700 1.56 3.79 × 104 800 1.78 4.33 × 104 900 2.00 4.87 × 104 1000 2.23 5.41 × 104 2000 4.45 1.08 × 105 3000 6.68 1.62 × 105 4000 8.91 2.16 × 105 5000 11.1 2.70 × 105 5490 12.2 2.97 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 19.0 0.134 1830 20.0 0.141 1920 30.0 0.211 2890 40.0 0.282 3850 50.0 0.352 4810 60.0 0.422 5770 70.0 0.493 6730 80.0 0.563 7690 90.0 0.633 8660 100 0.704 9620 200 1.41 1.92 × 104 300 2.11 2.89 × 104 400 2.82 3.85 × 104 500 3.52 4.81 × 104 600 4.22 5.77 × 104 700 4.93 6.73 × 104 800 5.63 7.69 × 104 900 6.33 8.66 × 104 1000 7.04 9.62 × 104 1730 12.2 1.66 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 19.0 0.326 2860 20.0 0.344 3010 30.0 0.516 4510 40.0 0.687 6010 50.0 0.859 7510 60.0 1.03 9020 70.0 1.20 1.05 × 104 80.0 1.37 1.20 × 104 90.0 1.55 1.35 × 104 100 1.72 1.50 × 104 200 3.44 3.01 × 104 300 5.16 4.51 × 104 400 6.87 6.01 × 104 500 8.59 7.51 × 104 600 10.3 9.02 × 104 700 12.0 1.05 × 105 708 12.2 1.06 × 105
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 19.0 0.677 4110 20.0 0.713 4330 30.0 1.07 6490 40.0 1.43 8660 50.0 1.78 1.08 × 104 60.0 2.14 1.30 × 104 70.0 2.49 1.51 × 104 80.0 2.85 1.73 × 104 90.0 3.21 1.95 × 104 100 3.56 2.16 × 104 200 7.13 4.33 × 104 300 10.7 6.49 × 104 341 12.2 7.38 × 104
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 19.0 1.25 5600 20.0 1.32 5890 30.0 1.98 8840 40.0 2.64 1.18 × 104 50.0 3.30 1.47 × 104 60.0 3.96 1.77 × 104 70.0 4.62 2.06 × 104 80.0 5.28 2.36 × 104 90.0 5.94 2.65 × 104 100 6.60 2.95 × 104 184 12.2 5.43 × 104
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 19.0 2.14 7310 20.0 2.25 7690 30.0 3.38 1.15 × 104 40.0 4.50 1.54 × 104 50.0 5.63 1.92 × 104 60.0 6.76 2.31 × 104 70.0 7.88 2.69 × 104 80.0 9.01 3.08 × 104 90.0 10.1 3.46 × 104 100 11.3 3.85 × 104 108 12.2 4.15 × 104
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 19.0 3.43 9250 20.0 3.61 9740 30.0 5.41 1.46 × 104 40.0 7.22 1.95 × 104 50.0 9.02 2.43 × 104 60.0 10.8 2.92 × 104 67.4 12.2 3.28 × 104
 Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 19.0 5.22 1.14 × 104 20.0 5.50 1.20 × 104 30.0 8.25 1.80 × 104 40.0 11.0 2.40 × 104 44.2 12.2 2.66 × 104
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