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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 53
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 = 425 in4) for the W12 × 53 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 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 53.0 3.90 × 10-6 8.12 60.0 4.41 × 10-6 9.19 70.0 5.15 × 10-6 10.7 80.0 5.88 × 10-6 12.3 90.0 6.62 × 10-6 13.8 100 7.35 × 10-6 15.3 200 1.47 × 10-5 30.6 300 2.21 × 10-5 46.0 400 2.94 × 10-5 61.3 500 3.68 × 10-5 76.6 600 4.41 × 10-5 91.9 700 5.15 × 10-5 107 800 5.88 × 10-5 123 900 6.62 × 10-5 138 1000 7.35 × 10-5 153 2000 1.47 × 10-4 306 3000 2.21 × 10-4 460 4000 2.94 × 10-4 613 5000 3.68 × 10-4 766 6000 4.41 × 10-4 919 7000 5.15 × 10-4 1070 8000 5.88 × 10-4 1230 9000 6.62 × 10-4 1380 1.00 × 104 7.35 × 10-4 1530 2.00 × 104 0.00147 3060 3.00 × 104 0.00221 4600 4.00 × 104 0.00294 6130 5.00 × 104 0.00368 7660 6.00 × 104 0.00441 9190 7.00 × 104 0.00515 1.07 × 104 8.00 × 104 0.00588 1.23 × 104 9.00 × 104 0.00662 1.38 × 104 1.00 × 105 0.00735 1.53 × 104 2.00 × 105 0.0147 3.06 × 104 3.00 × 105 0.0221 4.60 × 104 4.00 × 105 0.0294 6.13 × 104 5.00 × 105 0.0368 7.66 × 104 6.00 × 105 0.0441 9.19 × 104 7.00 × 105 0.0515 1.07 × 105 8.00 × 105 0.0588 1.23 × 105 9.00 × 105 0.0662 1.38 × 105 1.00 × 106 0.0735 1.53 × 105 1.94 × 106 0.143 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 53.0 3.01 × 10-5 22.6 60.0 3.40 × 10-5 25.5 70.0 3.97 × 10-5 29.8 80.0 4.54 × 10-5 34.1 90.0 5.11 × 10-5 38.3 100 5.67 × 10-5 42.6 200 1.13 × 10-4 85.1 300 1.70 × 10-4 128 400 2.27 × 10-4 170 500 2.84 × 10-4 213 600 3.40 × 10-4 255 700 3.97 × 10-4 298 800 4.54 × 10-4 341 900 5.11 × 10-4 383 1000 5.67 × 10-4 426 2000 0.00113 851 3000 0.00170 1280 4000 0.00227 1700 5000 0.00284 2130 6000 0.00340 2550 7000 0.00397 2980 8000 0.00454 3410 9000 0.00511 3830 1.00 × 104 0.00567 4260 2.00 × 104 0.0113 8510 3.00 × 104 0.0170 1.28 × 104 4.00 × 104 0.0227 1.70 × 104 5.00 × 104 0.0284 2.13 × 104 6.00 × 104 0.0340 2.55 × 104 7.00 × 104 0.0397 2.98 × 104 8.00 × 104 0.0454 3.41 × 104 9.00 × 104 0.0511 3.83 × 104 1.00 × 105 0.0567 4.26 × 104 2.00 × 105 0.113 8.51 × 104 3.00 × 105 0.170 1.28 × 105 4.00 × 105 0.227 1.70 × 105 5.00 × 105 0.284 2.13 × 105 6.00 × 105 0.340 2.55 × 105 6.98 × 105 0.396 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 53.0 4.81 × 10-4 90.2 60.0 5.45 × 10-4 102 70.0 6.35 × 10-4 119 80.0 7.26 × 10-4 136 90.0 8.17 × 10-4 153 100 9.08 × 10-4 170 200 0.00182 341 300 0.00272 511 400 0.00363 681 500 0.00454 851 600 0.00545 1020 700 0.00635 1190 800 0.00726 1360 900 0.00817 1530 1000 0.00908 1700 2000 0.0182 3410 3000 0.0272 5110 4000 0.0363 6810 5000 0.0454 8510 6000 0.0545 1.02 × 104 7000 0.0635 1.19 × 104 8000 0.0726 1.36 × 104 9000 0.0817 1.53 × 104 1.00 × 104 0.0908 1.70 × 104 2.00 × 104 0.182 3.41 × 104 3.00 × 104 0.272 5.11 × 104 4.00 × 104 0.363 6.81 × 104 5.00 × 104 0.454 8.51 × 104 6.00 × 104 0.545 1.02 × 105 7.00 × 104 0.635 1.19 × 105 8.00 × 104 0.726 1.36 × 105 9.00 × 104 0.817 1.53 × 105 1.00 × 105 0.908 1.70 × 105 1.74 × 105 1.58 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 53.0 0.00244 203 60.0 0.00276 230 70.0 0.00322 268 80.0 0.00368 306 90.0 0.00414 345 100 0.00460 383 200 0.00919 766 300 0.0138 1150 400 0.0184 1530 500 0.0230 1920 600 0.0276 2300 700 0.0322 2680 800 0.0368 3060 900 0.0414 3450 1000 0.0460 3830 2000 0.0919 7660 3000 0.138 1.15 × 104 4000 0.184 1.53 × 104 5000 0.230 1.92 × 104 6000 0.276 2.30 × 104 7000 0.322 2.68 × 104 8000 0.368 3.06 × 104 9000 0.414 3.45 × 104 1.00 × 104 0.460 3.83 × 104 2.00 × 104 0.919 7.66 × 104 3.00 × 104 1.38 1.15 × 105 4.00 × 104 1.84 1.53 × 105 5.00 × 104 2.30 1.92 × 105 6.00 × 104 2.76 2.30 × 105 7.00 × 104 3.22 2.68 × 105 7.75 × 104 3.56 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 53.0 0.00770 361 60.0 0.00871 409 70.0 0.0102 477 80.0 0.0116 545 90.0 0.0131 613 100 0.0145 681 200 0.0290 1360 300 0.0436 2040 400 0.0581 2720 500 0.0726 3410 600 0.0871 4090 700 0.102 4770 800 0.116 5450 900 0.131 6130 1000 0.145 6810 2000 0.290 1.36 × 104 3000 0.436 2.04 × 104 4000 0.581 2.72 × 104 5000 0.726 3.41 × 104 6000 0.871 4.09 × 104 7000 1.02 4.77 × 104 8000 1.16 5.45 × 104 9000 1.31 6.13 × 104 1.00 × 104 1.45 6.81 × 104 2.00 × 104 2.90 1.36 × 105 3.00 × 104 4.36 2.04 × 105 4.00 × 104 5.81 2.72 × 105 4.36 × 104 6.33 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 53.0 0.0188 564 60.0 0.0213 638 70.0 0.0248 745 80.0 0.0284 851 90.0 0.0319 958 100 0.0355 1060 200 0.0709 2130 300 0.106 3190 400 0.142 4260 500 0.177 5320 600 0.213 6380 700 0.248 7450 800 0.284 8510 900 0.319 9580 1000 0.355 1.06 × 104 2000 0.709 2.13 × 104 3000 1.06 3.19 × 104 4000 1.42 4.26 × 104 5000 1.77 5.32 × 104 6000 2.13 6.38 × 104 7000 2.48 7.45 × 104 8000 2.84 8.51 × 104 9000 3.19 9.58 × 104 1.00 × 104 3.55 1.06 × 105 2.00 × 104 7.09 2.13 × 105 2.79 × 104 9.90 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 53.0 0.0390 812 60.0 0.0441 919 70.0 0.0515 1070 80.0 0.0588 1230 90.0 0.0662 1380 100 0.0735 1530 200 0.147 3060 300 0.221 4600 400 0.294 6130 500 0.368 7660 600 0.441 9190 700 0.515 1.07 × 104 800 0.588 1.23 × 104 900 0.662 1.38 × 104 1000 0.735 1.53 × 104 2000 1.47 3.06 × 104 3000 2.21 4.60 × 104 4000 2.94 6.13 × 104 5000 3.68 7.66 × 104 6000 4.41 9.19 × 104 7000 5.15 1.07 × 105 8000 5.88 1.23 × 105 9000 6.62 1.38 × 105 1.00 × 104 7.35 1.53 × 105 1.94 × 104 14.3 2.97 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 53.0 0.123 1440 60.0 0.139 1630 70.0 0.163 1910 80.0 0.186 2180 90.0 0.209 2450 100 0.232 2720 200 0.465 5450 300 0.697 8170 400 0.930 1.09 × 104 500 1.16 1.36 × 104 600 1.39 1.63 × 104 700 1.63 1.91 × 104 800 1.86 2.18 × 104 900 2.09 2.45 × 104 1000 2.32 2.72 × 104 2000 4.65 5.45 × 104 3000 6.97 8.17 × 104 4000 9.30 1.09 × 105 5000 11.6 1.36 × 105 5190 12.1 1.41 × 105
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 53.0 0.301 2260 60.0 0.340 2550 70.0 0.397 2980 80.0 0.454 3410 90.0 0.511 3830 100 0.567 4260 200 1.13 8510 300 1.70 1.28 × 104 400 2.27 1.70 × 104 500 2.84 2.13 × 104 600 3.40 2.55 × 104 700 3.97 2.98 × 104 800 4.54 3.41 × 104 900 5.11 3.83 × 104 1000 5.67 4.26 × 104 2000 11.3 8.51 × 104 2130 12.1 9.05 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 53.0 0.624 3250 60.0 0.706 3680 70.0 0.824 4290 80.0 0.941 4900 90.0 1.06 5520 100 1.18 6130 200 2.35 1.23 × 104 300 3.53 1.84 × 104 400 4.71 2.45 × 104 500 5.88 3.06 × 104 600 7.06 3.68 × 104 700 8.24 4.29 × 104 800 9.41 4.90 × 104 900 10.6 5.52 × 104 1000 11.8 6.13 × 104 1030 12.1 6.28 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 53.0 1.16 4420 60.0 1.31 5010 70.0 1.53 5840 80.0 1.74 6670 90.0 1.96 7510 100 2.18 8340 200 4.36 1.67 × 104 300 6.54 2.50 × 104 400 8.72 3.34 × 104 500 10.9 4.17 × 104 553 12.1 4.62 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 53.0 1.97 5780 60.0 2.23 6540 70.0 2.60 7630 80.0 2.97 8720 90.0 3.35 9810 100 3.72 1.09 × 104 200 7.44 2.18 × 104 300 11.2 3.27 × 104 324 12.1 3.53 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 53.0 3.16 7310 60.0 3.57 8270 70.0 4.17 9650 80.0 4.76 1.10 × 104 90.0 5.36 1.24 × 104 100 5.96 1.38 × 104 200 11.9 2.76 × 104 202 12.1 2.79 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 53.0 4.81 9020 60.0 5.45 1.02 × 104 70.0 6.35 1.19 × 104 80.0 7.26 1.36 × 104 90.0 8.17 1.53 × 104 100 9.08 1.70 × 104 133 12.1 2.26 × 104
 Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 53.0 11.7 1.41 × 104 54.4 12.1 1.45 × 104