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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 58
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 = 475 in4) for the W12 × 58 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 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 58.0 3.82 × 10-6 8.04 60.0 3.95 × 10-6 8.31 70.0 4.61 × 10-6 9.70 80.0 5.26 × 10-6 11.1 90.0 5.92 × 10-6 12.5 100 6.58 × 10-6 13.9 200 1.32 × 10-5 27.7 300 1.97 × 10-5 41.6 400 2.63 × 10-5 55.4 500 3.29 × 10-5 69.3 600 3.95 × 10-5 83.1 700 4.61 × 10-5 97.0 800 5.26 × 10-5 111 900 5.92 × 10-5 125 1000 6.58 × 10-5 139 2000 1.32 × 10-4 277 3000 1.97 × 10-4 416 4000 2.63 × 10-4 554 5000 3.29 × 10-4 693 6000 3.95 × 10-4 831 7000 4.61 × 10-4 970 8000 5.26 × 10-4 1110 9000 5.92 × 10-4 1250 1.00 × 104 6.58 × 10-4 1390 2.00 × 104 0.00132 2770 3.00 × 104 0.00197 4160 4.00 × 104 0.00263 5540 5.00 × 104 0.00329 6930 6.00 × 104 0.00395 8310 7.00 × 104 0.00461 9700 8.00 × 104 0.00526 1.11 × 104 9.00 × 104 0.00592 1.25 × 104 1.00 × 105 0.00658 1.39 × 104 2.00 × 105 0.0132 2.77 × 104 3.00 × 105 0.0197 4.16 × 104 4.00 × 105 0.0263 5.54 × 104 5.00 × 105 0.0329 6.93 × 104 6.00 × 105 0.0395 8.31 × 104 7.00 × 105 0.0461 9.70 × 104 8.00 × 105 0.0526 1.11 × 105 9.00 × 105 0.0592 1.25 × 105 1.00 × 106 0.0658 1.39 × 105 2.00 × 106 0.132 2.77 × 105 2.14 × 106 0.141 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 58.0 2.94 × 10-5 22.3 60.0 3.05 × 10-5 23.1 70.0 3.55 × 10-5 26.9 80.0 4.06 × 10-5 30.8 90.0 4.57 × 10-5 34.6 100 5.08 × 10-5 38.5 200 1.02 × 10-4 77.0 300 1.52 × 10-4 115 400 2.03 × 10-4 154 500 2.54 × 10-4 192 600 3.05 × 10-4 231 700 3.55 × 10-4 269 800 4.06 × 10-4 308 900 4.57 × 10-4 346 1000 5.08 × 10-4 385 2000 0.00102 770 3000 0.00152 1150 4000 0.00203 1540 5000 0.00254 1920 6000 0.00305 2310 7000 0.00355 2690 8000 0.00406 3080 9000 0.00457 3460 1.00 × 104 0.00508 3850 2.00 × 104 0.0102 7700 3.00 × 104 0.0152 1.15 × 104 4.00 × 104 0.0203 1.54 × 104 5.00 × 104 0.0254 1.92 × 104 6.00 × 104 0.0305 2.31 × 104 7.00 × 104 0.0355 2.69 × 104 8.00 × 104 0.0406 3.08 × 104 9.00 × 104 0.0457 3.46 × 104 1.00 × 105 0.0508 3.85 × 104 2.00 × 105 0.102 7.70 × 104 3.00 × 105 0.152 1.15 × 105 4.00 × 105 0.203 1.54 × 105 5.00 × 105 0.254 1.92 × 105 6.00 × 105 0.305 2.31 × 105 7.00 × 105 0.355 2.69 × 105 7.72 × 105 0.392 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 58.0 4.71 × 10-4 89.3 60.0 4.87 × 10-4 92.4 70.0 5.69 × 10-4 108 80.0 6.50 × 10-4 123 90.0 7.31 × 10-4 139 100 8.12 × 10-4 154 200 0.00162 308 300 0.00244 462 400 0.00325 616 500 0.00406 770 600 0.00487 924 700 0.00569 1080 800 0.00650 1230 900 0.00731 1390 1000 0.00812 1540 2000 0.0162 3080 3000 0.0244 4620 4000 0.0325 6160 5000 0.0406 7700 6000 0.0487 9240 7000 0.0569 1.08 × 104 8000 0.0650 1.23 × 104 9000 0.0731 1.39 × 104 1.00 × 104 0.0812 1.54 × 104 2.00 × 104 0.162 3.08 × 104 3.00 × 104 0.244 4.62 × 104 4.00 × 104 0.325 6.16 × 104 5.00 × 104 0.406 7.70 × 104 6.00 × 104 0.487 9.24 × 104 7.00 × 104 0.569 1.08 × 105 8.00 × 104 0.650 1.23 × 105 9.00 × 104 0.731 1.39 × 105 1.00 × 105 0.812 1.54 × 105 1.93 × 105 1.57 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 58.0 0.00238 201 60.0 0.00247 208 70.0 0.00288 243 80.0 0.00329 277 90.0 0.00370 312 100 0.00411 346 200 0.00822 693 300 0.0123 1040 400 0.0164 1390 500 0.0206 1730 600 0.0247 2080 700 0.0288 2430 800 0.0329 2770 900 0.0370 3120 1000 0.0411 3460 2000 0.0822 6930 3000 0.123 1.04 × 104 4000 0.164 1.39 × 104 5000 0.206 1.73 × 104 6000 0.247 2.08 × 104 7000 0.288 2.43 × 104 8000 0.329 2.77 × 104 9000 0.370 3.12 × 104 1.00 × 104 0.411 3.46 × 104 2.00 × 104 0.822 6.93 × 104 3.00 × 104 1.23 1.04 × 105 4.00 × 104 1.64 1.39 × 105 5.00 × 104 2.06 1.73 × 105 6.00 × 104 2.47 2.08 × 105 7.00 × 104 2.88 2.43 × 105 8.00 × 104 3.29 2.77 × 105 8.57 × 104 3.53 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 58.0 0.00754 357 60.0 0.00780 370 70.0 0.00910 431 80.0 0.0104 493 90.0 0.0117 554 100 0.0130 616 200 0.0260 1230 300 0.0390 1850 400 0.0520 2460 500 0.0650 3080 600 0.0780 3700 700 0.0910 4310 800 0.104 4930 900 0.117 5540 1000 0.130 6160 2000 0.260 1.23 × 104 3000 0.390 1.85 × 104 4000 0.520 2.46 × 104 5000 0.650 3.08 × 104 6000 0.780 3.70 × 104 7000 0.910 4.31 × 104 8000 1.04 4.93 × 104 9000 1.17 5.54 × 104 1.00 × 104 1.30 6.16 × 104 2.00 × 104 2.60 1.23 × 105 3.00 × 104 3.90 1.85 × 105 4.00 × 104 5.20 2.46 × 105 4.82 × 104 6.27 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 58.0 0.0184 558 60.0 0.0190 577 70.0 0.0222 674 80.0 0.0254 770 90.0 0.0286 866 100 0.0317 962 200 0.0635 1920 300 0.0952 2890 400 0.127 3850 500 0.159 4810 600 0.190 5770 700 0.222 6740 800 0.254 7700 900 0.286 8660 1000 0.317 9620 2000 0.635 1.92 × 104 3000 0.952 2.89 × 104 4000 1.27 3.85 × 104 5000 1.59 4.81 × 104 6000 1.90 5.77 × 104 7000 2.22 6.74 × 104 8000 2.54 7.70 × 104 9000 2.86 8.66 × 104 1.00 × 104 3.17 9.62 × 104 2.00 × 104 6.35 1.92 × 105 3.00 × 104 9.52 2.89 × 105 3.09 × 104 9.79 2.97 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 58.0 0.0382 804 60.0 0.0395 831 70.0 0.0461 970 80.0 0.0526 1110 90.0 0.0592 1250 100 0.0658 1390 200 0.132 2770 300 0.197 4160 400 0.263 5540 500 0.329 6930 600 0.395 8310 700 0.461 9700 800 0.526 1.11 × 104 900 0.592 1.25 × 104 1000 0.658 1.39 × 104 2000 1.32 2.77 × 104 3000 1.97 4.16 × 104 4000 2.63 5.54 × 104 5000 3.29 6.93 × 104 6000 3.95 8.31 × 104 7000 4.61 9.70 × 104 8000 5.26 1.11 × 105 9000 5.92 1.25 × 105 1.00 × 104 6.58 1.39 × 105 1.85 × 104 12.2 2.57 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 58.0 0.121 1430 60.0 0.125 1480 70.0 0.146 1720 80.0 0.166 1970 90.0 0.187 2220 100 0.208 2460 200 0.416 4930 300 0.624 7390 400 0.832 9850 500 1.04 1.23 × 104 600 1.25 1.48 × 104 700 1.46 1.72 × 104 800 1.66 1.97 × 104 900 1.87 2.22 × 104 1000 2.08 2.46 × 104 2000 4.16 4.93 × 104 3000 6.24 7.39 × 104 4000 8.32 9.85 × 104 5000 10.4 1.23 × 105 5860 12.2 1.44 × 105
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 58.0 0.294 2230 60.0 0.305 2310 70.0 0.355 2690 80.0 0.406 3080 90.0 0.457 3460 100 0.508 3850 200 1.02 7700 300 1.52 1.15 × 104 400 2.03 1.54 × 104 500 2.54 1.92 × 104 600 3.05 2.31 × 104 700 3.55 2.69 × 104 800 4.06 3.08 × 104 900 4.57 3.46 × 104 1000 5.08 3.85 × 104 2000 10.2 7.70 × 104 2400 12.2 9.24 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 58.0 0.611 3220 60.0 0.632 3330 70.0 0.737 3880 80.0 0.842 4430 90.0 0.947 4990 100 1.05 5540 200 2.11 1.11 × 104 300 3.16 1.66 × 104 400 4.21 2.22 × 104 500 5.26 2.77 × 104 600 6.32 3.33 × 104 700 7.37 3.88 × 104 800 8.42 4.43 × 104 900 9.47 4.99 × 104 1000 10.5 5.54 × 104 1160 12.2 6.42 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 58.0 1.13 4380 60.0 1.17 4530 70.0 1.37 5280 80.0 1.56 6040 90.0 1.76 6790 100 1.95 7540 200 3.90 1.51 × 104 300 5.85 2.26 × 104 400 7.80 3.02 × 104 500 9.75 3.77 × 104 600 11.7 4.53 × 104 625 12.2 4.72 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 58.0 1.93 5720 60.0 2.00 5910 70.0 2.33 6900 80.0 2.66 7880 90.0 2.99 8870 100 3.33 9850 200 6.65 1.97 × 104 300 9.98 2.96 × 104 366 12.2 3.61 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 58.0 3.09 7230 60.0 3.20 7480 70.0 3.73 8730 80.0 4.26 9980 90.0 4.80 1.12 × 104 100 5.33 1.25 × 104 200 10.7 2.49 × 104 229 12.2 2.85 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 58.0 4.71 8930 60.0 4.87 9240 70.0 5.69 1.08 × 104 80.0 6.50 1.23 × 104 90.0 7.31 1.39 × 104 100 8.12 1.54 × 104 150 12.2 2.31 × 104
 Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 58.0 11.5 1.40 × 104 60.0 11.9 1.44 × 104 61.5 12.2 1.48 × 104