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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S12 × 50
S Section 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 = 305 in4) for the S12 × 50 S Section 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: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 50.0 5.12 × 10-6 10.6 60.0 6.15 × 10-6 12.7 70.0 7.17 × 10-6 14.9 80.0 8.20 × 10-6 17.0 90.0 9.22 × 10-6 19.1 100 1.02 × 10-5 21.2 200 2.05 × 10-5 42.5 300 3.07 × 10-5 63.7 400 4.10 × 10-5 85.0 500 5.12 × 10-5 106 600 6.15 × 10-5 127 700 7.17 × 10-5 149 800 8.20 × 10-5 170 900 9.22 × 10-5 191 1000 1.02 × 10-4 212 2000 2.05 × 10-4 425 3000 3.07 × 10-4 637 4000 4.10 × 10-4 850 5000 5.12 × 10-4 1060 6000 6.15 × 10-4 1270 7000 7.17 × 10-4 1490 8000 8.20 × 10-4 1700 9000 9.22 × 10-4 1910 1.00 × 104 0.00102 2120 2.00 × 104 0.00205 4250 3.00 × 104 0.00307 6370 4.00 × 104 0.00410 8500 5.00 × 104 0.00512 1.06 × 104 6.00 × 104 0.00615 1.27 × 104 7.00 × 104 0.00717 1.49 × 104 8.00 × 104 0.00820 1.70 × 104 9.00 × 104 0.00922 1.91 × 104 1.00 × 105 0.0102 2.12 × 104 2.00 × 105 0.0205 4.25 × 104 3.00 × 105 0.0307 6.37 × 104 4.00 × 105 0.0410 8.50 × 104 5.00 × 105 0.0512 1.06 × 105 6.00 × 105 0.0615 1.27 × 105 7.00 × 105 0.0717 1.49 × 105 8.00 × 105 0.0820 1.70 × 105 9.00 × 105 0.0922 1.91 × 105 1.00 × 106 0.102 2.12 × 105 1.40 × 106 0.143 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 50.0 3.95 × 10-5 29.5 60.0 4.74 × 10-5 35.4 70.0 5.53 × 10-5 41.3 80.0 6.32 × 10-5 47.2 90.0 7.11 × 10-5 53.1 100 7.91 × 10-5 59.0 200 1.58 × 10-4 118 300 2.37 × 10-4 177 400 3.16 × 10-4 236 500 3.95 × 10-4 295 600 4.74 × 10-4 354 700 5.53 × 10-4 413 800 6.32 × 10-4 472 900 7.11 × 10-4 531 1000 7.91 × 10-4 590 2000 0.00158 1180 3000 0.00237 1770 4000 0.00316 2360 5000 0.00395 2950 6000 0.00474 3540 7000 0.00553 4130 8000 0.00632 4720 9000 0.00711 5310 1.00 × 104 0.00791 5900 2.00 × 104 0.0158 1.18 × 104 3.00 × 104 0.0237 1.77 × 104 4.00 × 104 0.0316 2.36 × 104 5.00 × 104 0.0395 2.95 × 104 6.00 × 104 0.0474 3.54 × 104 7.00 × 104 0.0553 4.13 × 104 8.00 × 104 0.0632 4.72 × 104 9.00 × 104 0.0711 5.31 × 104 1.00 × 105 0.0791 5.90 × 104 2.00 × 105 0.158 1.18 × 105 3.00 × 105 0.237 1.77 × 105 4.00 × 105 0.316 2.36 × 105 5.00 × 105 0.395 2.95 × 105 5.03 × 105 0.398 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 50.0 6.32 × 10-4 118 60.0 7.59 × 10-4 142 70.0 8.85 × 10-4 165 80.0 0.00101 189 90.0 0.00114 212 100 0.00126 236 200 0.00253 472 300 0.00379 708 400 0.00506 944 500 0.00632 1180 600 0.00759 1420 700 0.00885 1650 800 0.0101 1890 900 0.0114 2120 1000 0.0126 2360 2000 0.0253 4720 3000 0.0379 7080 4000 0.0506 9440 5000 0.0632 1.18 × 104 6000 0.0759 1.42 × 104 7000 0.0885 1.65 × 104 8000 0.101 1.89 × 104 9000 0.114 2.12 × 104 1.00 × 104 0.126 2.36 × 104 2.00 × 104 0.253 4.72 × 104 3.00 × 104 0.379 7.08 × 104 4.00 × 104 0.506 9.44 × 104 5.00 × 104 0.632 1.18 × 105 6.00 × 104 0.759 1.42 × 105 7.00 × 104 0.885 1.65 × 105 8.00 × 104 1.01 1.89 × 105 9.00 × 104 1.14 2.12 × 105 1.00 × 105 1.26 2.36 × 105 1.26 × 105 1.59 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 50.0 0.00320 266 60.0 0.00384 319 70.0 0.00448 372 80.0 0.00512 425 90.0 0.00576 478 100 0.00640 531 200 0.0128 1060 300 0.0192 1590 400 0.0256 2120 500 0.0320 2660 600 0.0384 3190 700 0.0448 3720 800 0.0512 4250 900 0.0576 4780 1000 0.0640 5310 2000 0.128 1.06 × 104 3000 0.192 1.59 × 104 4000 0.256 2.12 × 104 5000 0.320 2.66 × 104 6000 0.384 3.19 × 104 7000 0.448 3.72 × 104 8000 0.512 4.25 × 104 9000 0.576 4.78 × 104 1.00 × 104 0.640 5.31 × 104 2.00 × 104 1.28 1.06 × 105 3.00 × 104 1.92 1.59 × 105 4.00 × 104 2.56 2.12 × 105 5.00 × 104 3.20 2.66 × 105 5.59 × 104 3.58 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 50.0 0.0101 472 60.0 0.0121 567 70.0 0.0142 661 80.0 0.0162 755 90.0 0.0182 850 100 0.0202 944 200 0.0405 1890 300 0.0607 2830 400 0.0810 3780 500 0.101 4720 600 0.121 5670 700 0.142 6610 800 0.162 7550 900 0.182 8500 1000 0.202 9440 2000 0.405 1.89 × 104 3000 0.607 2.83 × 104 4000 0.810 3.78 × 104 5000 1.01 4.72 × 104 6000 1.21 5.67 × 104 7000 1.42 6.61 × 104 8000 1.62 7.55 × 104 9000 1.82 8.50 × 104 1.00 × 104 2.02 9.44 × 104 2.00 × 104 4.05 1.89 × 105 3.00 × 104 6.07 2.83 × 105 3.15 × 104 6.37 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 50.0 0.0247 738 60.0 0.0296 885 70.0 0.0346 1030 80.0 0.0395 1180 90.0 0.0445 1330 100 0.0494 1480 200 0.0988 2950 300 0.148 4430 400 0.198 5900 500 0.247 7380 600 0.296 8850 700 0.346 1.03 × 104 800 0.395 1.18 × 104 900 0.445 1.33 × 104 1000 0.494 1.48 × 104 2000 0.988 2.95 × 104 3000 1.48 4.43 × 104 4000 1.98 5.90 × 104 5000 2.47 7.38 × 104 6000 2.96 8.85 × 104 7000 3.46 1.03 × 105 8000 3.95 1.18 × 105 9000 4.45 1.33 × 105 1.00 × 104 4.94 1.48 × 105 2.00 × 104 9.88 2.95 × 105 2.01 × 104 9.95 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 50.0 0.0512 1060 60.0 0.0615 1270 70.0 0.0717 1490 80.0 0.0820 1700 90.0 0.0922 1910 100 0.102 2120 200 0.205 4250 300 0.307 6370 400 0.410 8500 500 0.512 1.06 × 104 600 0.615 1.27 × 104 700 0.717 1.49 × 104 800 0.820 1.70 × 104 900 0.922 1.91 × 104 1000 1.02 2.12 × 104 2000 2.05 4.25 × 104 3000 3.07 6.37 × 104 4000 4.10 8.50 × 104 5000 5.12 1.06 × 105 6000 6.15 1.27 × 105 7000 7.17 1.49 × 105 8000 8.20 1.70 × 105 9000 9.22 1.91 × 105 1.00 × 104 10.2 2.12 × 105 1.40 × 104 14.3 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 50.0 0.162 1890 60.0 0.194 2270 70.0 0.227 2640 80.0 0.259 3020 90.0 0.291 3400 100 0.324 3780 200 0.648 7550 300 0.971 1.13 × 104 400 1.30 1.51 × 104 500 1.62 1.89 × 104 600 1.94 2.27 × 104 700 2.27 2.64 × 104 800 2.59 3.02 × 104 900 2.91 3.40 × 104 1000 3.24 3.78 × 104 2000 6.48 7.55 × 104 3000 9.71 1.13 × 105 3710 12.0 1.40 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.395 2950 60.0 0.474 3540 70.0 0.553 4130 80.0 0.632 4720 90.0 0.711 5310 100 0.791 5900 200 1.58 1.18 × 104 300 2.37 1.77 × 104 400 3.16 2.36 × 104 500 3.95 2.95 × 104 600 4.74 3.54 × 104 700 5.53 4.13 × 104 800 6.32 4.72 × 104 900 7.11 5.31 × 104 1000 7.91 5.90 × 104 1520 12.0 8.96 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 0.820 4250 60.0 0.984 5100 70.0 1.15 5950 80.0 1.31 6800 90.0 1.48 7650 100 1.64 8500 200 3.28 1.70 × 104 300 4.92 2.55 × 104 400 6.56 3.40 × 104 500 8.20 4.25 × 104 600 9.84 5.10 × 104 700 11.5 5.95 × 104 732 12.0 6.22 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 1.52 5780 60.0 1.82 6940 70.0 2.13 8100 80.0 2.43 9250 90.0 2.73 1.04 × 104 100 3.04 1.16 × 104 200 6.07 2.31 × 104 300 9.11 3.47 × 104 395 12.0 4.57 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 2.59 7550 60.0 3.11 9060 70.0 3.63 1.06 × 104 80.0 4.14 1.21 × 104 90.0 4.66 1.36 × 104 100 5.18 1.51 × 104 200 10.4 3.02 × 104 232 12.0 3.50 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 4.15 9560 60.0 4.98 1.15 × 104 70.0 5.81 1.34 × 104 80.0 6.64 1.53 × 104 90.0 7.47 1.72 × 104 100 8.30 1.91 × 104 145 12.0 2.76 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 50.0 6.32 1.18 × 104 60.0 7.59 1.42 × 104 70.0 8.85 1.65 × 104 80.0 10.1 1.89 × 104 90.0 11.4 2.12 × 104 94.9 12.0 2.24 × 104