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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 120
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 = 1070 in4) for the W12 × 120 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 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 120 3.25 × 10-6 8.51 200 5.41 × 10-6 14.2 300 8.12 × 10-6 21.3 400 1.08 × 10-5 28.4 500 1.35 × 10-5 35.5 600 1.62 × 10-5 42.5 700 1.89 × 10-5 49.6 800 2.16 × 10-5 56.7 900 2.44 × 10-5 63.8 1000 2.71 × 10-5 70.9 2000 5.41 × 10-5 142 3000 8.12 × 10-5 213 4000 1.08 × 10-4 284 5000 1.35 × 10-4 355 6000 1.62 × 10-4 425 7000 1.89 × 10-4 496 8000 2.16 × 10-4 567 9000 2.44 × 10-4 638 1.00 × 104 2.71 × 10-4 709 2.00 × 104 5.41 × 10-4 1420 3.00 × 104 8.12 × 10-4 2130 4.00 × 104 0.00108 2840 5.00 × 104 0.00135 3550 6.00 × 104 0.00162 4250 7.00 × 104 0.00189 4960 8.00 × 104 0.00216 5670 9.00 × 104 0.00244 6380 1.00 × 105 0.00271 7090 2.00 × 105 0.00541 1.42 × 104 3.00 × 105 0.00812 2.13 × 104 4.00 × 105 0.0108 2.84 × 104 5.00 × 105 0.0135 3.55 × 104 6.00 × 105 0.0162 4.25 × 104 7.00 × 105 0.0189 4.96 × 104 8.00 × 105 0.0216 5.67 × 104 9.00 × 105 0.0244 6.38 × 104 1.00 × 106 0.0271 7.09 × 104 2.00 × 106 0.0541 1.42 × 105 3.00 × 106 0.0812 2.13 × 105 4.00 × 106 0.108 2.84 × 105 4.19 × 106 0.113 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 120 2.51 × 10-5 23.6 200 4.18 × 10-5 39.4 300 6.26 × 10-5 59.1 400 8.35 × 10-5 78.8 500 1.04 × 10-4 98.5 600 1.25 × 10-4 118 700 1.46 × 10-4 138 800 1.67 × 10-4 158 900 1.88 × 10-4 177 1000 2.09 × 10-4 197 2000 4.18 × 10-4 394 3000 6.26 × 10-4 591 4000 8.35 × 10-4 788 5000 0.00104 985 6000 0.00125 1180 7000 0.00146 1380 8000 0.00167 1580 9000 0.00188 1770 1.00 × 104 0.00209 1970 2.00 × 104 0.00418 3940 3.00 × 104 0.00626 5910 4.00 × 104 0.00835 7880 5.00 × 104 0.0104 9850 6.00 × 104 0.0125 1.18 × 104 7.00 × 104 0.0146 1.38 × 104 8.00 × 104 0.0167 1.58 × 104 9.00 × 104 0.0188 1.77 × 104 1.00 × 105 0.0209 1.97 × 104 2.00 × 105 0.0418 3.94 × 104 3.00 × 105 0.0626 5.91 × 104 4.00 × 105 0.0835 7.88 × 104 5.00 × 105 0.104 9.85 × 104 6.00 × 105 0.125 1.18 × 105 7.00 × 105 0.146 1.38 × 105 8.00 × 105 0.167 1.58 × 105 9.00 × 105 0.188 1.77 × 105 1.00 × 106 0.209 1.97 × 105 1.51 × 106 0.315 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 120 4.01 × 10-4 94.6 200 6.68 × 10-4 158 300 0.00100 236 400 0.00134 315 500 0.00167 394 600 0.00200 473 700 0.00234 552 800 0.00267 630 900 0.00301 709 1000 0.00334 788 2000 0.00668 1580 3000 0.0100 2360 4000 0.0134 3150 5000 0.0167 3940 6000 0.0200 4730 7000 0.0234 5520 8000 0.0267 6300 9000 0.0301 7090 1.00 × 104 0.0334 7880 2.00 × 104 0.0668 1.58 × 104 3.00 × 104 0.100 2.36 × 104 4.00 × 104 0.134 3.15 × 104 5.00 × 104 0.167 3.94 × 104 6.00 × 104 0.200 4.73 × 104 7.00 × 104 0.234 5.52 × 104 8.00 × 104 0.267 6.30 × 104 9.00 × 104 0.301 7.09 × 104 1.00 × 105 0.334 7.88 × 104 2.00 × 105 0.668 1.58 × 105 3.00 × 105 1.00 2.36 × 105 3.77 × 105 1.26 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 120 0.00203 213 200 0.00338 355 300 0.00507 532 400 0.00676 709 500 0.00846 886 600 0.0101 1060 700 0.0118 1240 800 0.0135 1420 900 0.0152 1600 1000 0.0169 1770 2000 0.0338 3550 3000 0.0507 5320 4000 0.0676 7090 5000 0.0846 8860 6000 0.101 1.06 × 104 7000 0.118 1.24 × 104 8000 0.135 1.42 × 104 9000 0.152 1.60 × 104 1.00 × 104 0.169 1.77 × 104 2.00 × 104 0.338 3.55 × 104 3.00 × 104 0.507 5.32 × 104 4.00 × 104 0.676 7.09 × 104 5.00 × 104 0.846 8.86 × 104 6.00 × 104 1.01 1.06 × 105 7.00 × 104 1.18 1.24 × 105 8.00 × 104 1.35 1.42 × 105 9.00 × 104 1.52 1.60 × 105 1.00 × 105 1.69 1.77 × 105 1.68 × 105 2.83 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 120 0.00641 378 200 0.0107 630 300 0.0160 946 400 0.0214 1260 500 0.0267 1580 600 0.0321 1890 700 0.0374 2210 800 0.0428 2520 900 0.0481 2840 1000 0.0534 3150 2000 0.107 6300 3000 0.160 9460 4000 0.214 1.26 × 104 5000 0.267 1.58 × 104 6000 0.321 1.89 × 104 7000 0.374 2.21 × 104 8000 0.428 2.52 × 104 9000 0.481 2.84 × 104 1.00 × 104 0.534 3.15 × 104 2.00 × 104 1.07 6.30 × 104 3.00 × 104 1.60 9.46 × 104 4.00 × 104 2.14 1.26 × 105 5.00 × 104 2.67 1.58 × 105 6.00 × 104 3.21 1.89 × 105 7.00 × 104 3.74 2.21 × 105 8.00 × 104 4.28 2.52 × 105 9.00 × 104 4.81 2.84 × 105 9.42 × 104 5.04 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 120 0.0157 591 200 0.0261 985 300 0.0391 1480 400 0.0522 1970 500 0.0652 2460 600 0.0783 2950 700 0.0913 3450 800 0.104 3940 900 0.117 4430 1000 0.130 4920 2000 0.261 9850 3000 0.391 1.48 × 104 4000 0.522 1.97 × 104 5000 0.652 2.46 × 104 6000 0.783 2.95 × 104 7000 0.913 3.45 × 104 8000 1.04 3.94 × 104 9000 1.17 4.43 × 104 1.00 × 104 1.30 4.92 × 104 2.00 × 104 2.61 9.85 × 104 3.00 × 104 3.91 1.48 × 105 4.00 × 104 5.22 1.97 × 105 5.00 × 104 6.52 2.46 × 105 6.00 × 104 7.83 2.95 × 105 6.03 × 104 7.87 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 120 0.0325 851 200 0.0541 1420 300 0.0812 2130 400 0.108 2840 500 0.135 3550 600 0.162 4250 700 0.189 4960 800 0.216 5670 900 0.244 6380 1000 0.271 7090 2000 0.541 1.42 × 104 3000 0.812 2.13 × 104 4000 1.08 2.84 × 104 5000 1.35 3.55 × 104 6000 1.62 4.25 × 104 7000 1.89 4.96 × 104 8000 2.16 5.67 × 104 9000 2.44 6.38 × 104 1.00 × 104 2.71 7.09 × 104 2.00 × 104 5.41 1.42 × 105 3.00 × 104 8.12 2.13 × 105 4.00 × 104 10.8 2.84 × 105 4.19 × 104 11.3 2.97 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 120 0.103 1510 200 0.171 2520 300 0.257 3780 400 0.342 5040 500 0.428 6300 600 0.513 7560 700 0.599 8820 800 0.684 1.01 × 104 900 0.770 1.13 × 104 1000 0.855 1.26 × 104 2000 1.71 2.52 × 104 3000 2.57 3.78 × 104 4000 3.42 5.04 × 104 5000 4.28 6.30 × 104 6000 5.13 7.56 × 104 7000 5.99 8.82 × 104 8000 6.84 1.01 × 105 9000 7.70 1.13 × 105 1.00 × 104 8.55 1.26 × 105 1.53 × 104 13.1 1.93 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 120 0.251 2360 200 0.418 3940 300 0.626 5910 400 0.835 7880 500 1.04 9850 600 1.25 1.18 × 104 700 1.46 1.38 × 104 800 1.67 1.58 × 104 900 1.88 1.77 × 104 1000 2.09 1.97 × 104 2000 4.18 3.94 × 104 3000 6.26 5.91 × 104 4000 8.35 7.88 × 104 5000 10.4 9.85 × 104 6000 12.5 1.18 × 105 6280 13.1 1.24 × 105
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 120 0.520 3400 200 0.866 5670 300 1.30 8510 400 1.73 1.13 × 104 500 2.16 1.42 × 104 600 2.60 1.70 × 104 700 3.03 1.99 × 104 800 3.46 2.27 × 104 900 3.90 2.55 × 104 1000 4.33 2.84 × 104 2000 8.66 5.67 × 104 3000 13.0 8.51 × 104 3030 13.1 8.60 × 104
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 120 0.962 4630 200 1.60 7720 300 2.41 1.16 × 104 400 3.21 1.54 × 104 500 4.01 1.93 × 104 600 4.81 2.32 × 104 700 5.61 2.70 × 104 800 6.42 3.09 × 104 900 7.22 3.47 × 104 1000 8.02 3.86 × 104 1640 13.1 6.32 × 104
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 120 1.64 6050 200 2.74 1.01 × 104 300 4.10 1.51 × 104 400 5.47 2.02 × 104 500 6.84 2.52 × 104 600 8.21 3.03 × 104 700 9.58 3.53 × 104 800 10.9 4.03 × 104 900 12.3 4.54 × 104 959 13.1 4.84 × 104
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 120 2.63 7660 200 4.38 1.28 × 104 300 6.57 1.91 × 104 400 8.77 2.55 × 104 500 11.0 3.19 × 104 599 13.1 3.82 × 104
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 120 4.01 9460 200 6.68 1.58 × 104 300 10.0 2.36 × 104 393 13.1 3.09 × 104
 Steel I Beam: W12 × 120 (Wide Flange 12 inch tall × 120 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 120 9.79 1.48 × 104 161 13.1 1.98 × 104
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