S Section Steel I Beam: S12 × 40.8

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S12 × 40.8
S Section 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 = 272 in4) for the S12 × 40.8 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 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 40.8 4.34 × 10-6 10.4 50.0 5.32 × 10-6 12.8 60.0 6.39 × 10-6 15.3 70.0 7.45 × 10-6 17.9 80.0 8.52 × 10-6 20.4 90.0 9.58 × 10-6 23.0 100 1.06 × 10-5 25.5 200 2.13 × 10-5 51.0 300 3.19 × 10-5 76.5 400 4.26 × 10-5 102 500 5.32 × 10-5 128 600 6.39 × 10-5 153 700 7.45 × 10-5 179 800 8.52 × 10-5 204 900 9.58 × 10-5 230 1000 1.06 × 10-4 255 2000 2.13 × 10-4 510 3000 3.19 × 10-4 765 4000 4.26 × 10-4 1020 5000 5.32 × 10-4 1280 6000 6.39 × 10-4 1530 7000 7.45 × 10-4 1790 8000 8.52 × 10-4 2040 9000 9.58 × 10-4 2300 1.00 × 104 0.00106 2550 2.00 × 104 0.00213 5100 3.00 × 104 0.00319 7650 4.00 × 104 0.00426 1.02 × 104 5.00 × 104 0.00532 1.28 × 104 6.00 × 104 0.00639 1.53 × 104 7.00 × 104 0.00745 1.79 × 104 8.00 × 104 0.00852 2.04 × 104 9.00 × 104 0.00958 2.30 × 104 1.00 × 105 0.0106 2.55 × 104 2.00 × 105 0.0213 5.10 × 104 3.00 × 105 0.0319 7.65 × 104 4.00 × 105 0.0426 1.02 × 105 5.00 × 105 0.0532 1.28 × 105 6.00 × 105 0.0639 1.53 × 105 7.00 × 105 0.0745 1.79 × 105 8.00 × 105 0.0852 2.04 × 105 9.00 × 105 0.0958 2.30 × 105 1.00 × 106 0.106 2.55 × 105 1.16 × 106 0.124 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 40.8 3.35 × 10-5 28.9 50.0 4.11 × 10-5 35.4 60.0 4.93 × 10-5 42.5 70.0 5.75 × 10-5 49.6 80.0 6.57 × 10-5 56.7 90.0 7.39 × 10-5 63.8 100 8.21 × 10-5 70.9 200 1.64 × 10-4 142 300 2.46 × 10-4 213 400 3.29 × 10-4 284 500 4.11 × 10-4 354 600 4.93 × 10-4 425 700 5.75 × 10-4 496 800 6.57 × 10-4 567 900 7.39 × 10-4 638 1000 8.21 × 10-4 709 2000 0.00164 1420 3000 0.00246 2130 4000 0.00329 2830 5000 0.00411 3540 6000 0.00493 4250 7000 0.00575 4960 8000 0.00657 5670 9000 0.00739 6380 1.00 × 104 0.00821 7090 2.00 × 104 0.0164 1.42 × 104 3.00 × 104 0.0246 2.13 × 104 4.00 × 104 0.0329 2.84 × 104 5.00 × 104 0.0411 3.54 × 104 6.00 × 104 0.0493 4.25 × 104 7.00 × 104 0.0575 4.96 × 104 8.00 × 104 0.0657 5.67 × 104 9.00 × 104 0.0739 6.38 × 104 1.00 × 105 0.0821 7.09 × 104 2.00 × 105 0.164 1.42 × 105 3.00 × 105 0.246 2.13 × 105 4.00 × 105 0.329 2.84 × 105 4.19 × 105 0.344 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 40.8 5.36 × 10-4 116 50.0 6.57 × 10-4 142 60.0 7.88 × 10-4 170 70.0 9.20 × 10-4 198 80.0 0.00105 227 90.0 0.00118 255 100 0.00131 284 200 0.00263 567 300 0.00394 851 400 0.00526 1130 500 0.00657 1420 600 0.00788 1700 700 0.00920 1980 800 0.0105 2270 900 0.0118 2550 1000 0.0131 2830 2000 0.0263 5670 3000 0.0394 8510 4000 0.0526 1.13 × 104 5000 0.0657 1.42 × 104 6000 0.0788 1.70 × 104 7000 0.0920 1.98 × 104 8000 0.105 2.27 × 104 9000 0.118 2.55 × 104 1.00 × 104 0.131 2.84 × 104 2.00 × 104 0.263 5.67 × 104 3.00 × 104 0.394 8.51 × 104 4.00 × 104 0.526 1.13 × 105 5.00 × 104 0.657 1.42 × 105 6.00 × 104 0.788 1.70 × 105 7.00 × 104 0.920 1.98 × 105 8.00 × 104 1.05 2.27 × 105 9.00 × 104 1.18 2.55 × 105 1.00 × 105 1.31 2.84 × 105 1.05 × 105 1.38 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 40.8 0.00271 260 50.0 0.00333 319 60.0 0.00399 383 70.0 0.00466 447 80.0 0.00532 510 90.0 0.00599 574 100 0.00665 638 200 0.0133 1280 300 0.0200 1910 400 0.0266 2550 500 0.0333 3190 600 0.0399 3830 700 0.0466 4470 800 0.0532 5100 900 0.0599 5740 1000 0.0665 6380 2000 0.133 1.28 × 104 3000 0.200 1.91 × 104 4000 0.266 2.55 × 104 5000 0.333 3.19 × 104 6000 0.399 3.83 × 104 7000 0.466 4.47 × 104 8000 0.532 5.10 × 104 9000 0.599 5.74 × 104 1.00 × 104 0.665 6.38 × 104 2.00 × 104 1.33 1.28 × 105 3.00 × 104 2.00 1.91 × 105 4.00 × 104 2.66 2.55 × 105 4.66 × 104 3.10 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 40.8 0.00858 463 50.0 0.0105 567 60.0 0.0126 680 70.0 0.0147 794 80.0 0.0168 907 90.0 0.0189 1020 100 0.0210 1130 200 0.0420 2270 300 0.0631 3400 400 0.0841 4540 500 0.105 5670 600 0.126 6800 700 0.147 7940 800 0.168 9070 900 0.189 1.02 × 104 1000 0.210 1.13 × 104 2000 0.420 2.27 × 104 3000 0.631 3.40 × 104 4000 0.841 4.54 × 104 5000 1.05 5.67 × 104 6000 1.26 6.80 × 104 7000 1.47 7.94 × 104 8000 1.68 9.07 × 104 9000 1.89 1.02 × 105 1.00 × 104 2.10 1.13 × 105 2.00 × 104 4.20 2.27 × 105 2.62 × 104 5.51 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 40.8 0.0209 723 50.0 0.0257 886 60.0 0.0308 1060 70.0 0.0359 1240 80.0 0.0411 1420 90.0 0.0462 1590 100 0.0513 1770 200 0.103 3540 300 0.154 5320 400 0.205 7090 500 0.257 8860 600 0.308 1.06 × 104 700 0.359 1.24 × 104 800 0.411 1.42 × 104 900 0.462 1.59 × 104 1000 0.513 1.77 × 104 2000 1.03 3.54 × 104 3000 1.54 5.32 × 104 4000 2.05 7.09 × 104 5000 2.57 8.86 × 104 6000 3.08 1.06 × 105 7000 3.59 1.24 × 105 8000 4.11 1.42 × 105 9000 4.62 1.59 × 105 1.00 × 104 5.13 1.77 × 105 1.68 × 104 8.61 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 40.8 0.0434 1040 50.0 0.0532 1280 60.0 0.0639 1530 70.0 0.0745 1790 80.0 0.0852 2040 90.0 0.0958 2300 100 0.106 2550 200 0.213 5100 300 0.319 7650 400 0.426 1.02 × 104 500 0.532 1.28 × 104 600 0.639 1.53 × 104 700 0.745 1.79 × 104 800 0.852 2.04 × 104 900 0.958 2.30 × 104 1000 1.06 2.55 × 104 2000 2.13 5.10 × 104 3000 3.19 7.65 × 104 4000 4.26 1.02 × 105 5000 5.32 1.28 × 105 6000 6.39 1.53 × 105 7000 7.45 1.79 × 105 8000 8.52 2.04 × 105 9000 9.58 2.30 × 105 1.00 × 104 10.6 2.55 × 105 1.16 × 104 12.4 2.97 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 40.8 0.137 1850 50.0 0.168 2270 60.0 0.202 2720 70.0 0.235 3180 80.0 0.269 3630 90.0 0.303 4080 100 0.336 4540 200 0.673 9070 300 1.01 1.36 × 104 400 1.35 1.81 × 104 500 1.68 2.27 × 104 600 2.02 2.72 × 104 700 2.35 3.18 × 104 800 2.69 3.63 × 104 900 3.03 4.08 × 104 1000 3.36 4.54 × 104 2000 6.73 9.07 × 104 3000 10.1 1.36 × 105 3570 12.0 1.62 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.8 0.335 2890 50.0 0.411 3540 60.0 0.493 4250 70.0 0.575 4960 80.0 0.657 5670 90.0 0.739 6380 100 0.821 7090 200 1.64 1.42 × 104 300 2.46 2.13 × 104 400 3.29 2.84 × 104 500 4.11 3.54 × 104 600 4.93 4.25 × 104 700 5.75 4.96 × 104 800 6.57 5.67 × 104 900 7.39 6.38 × 104 1000 8.21 7.09 × 104 1460 12.0 1.04 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.8 0.695 4160 50.0 0.852 5100 60.0 1.02 6120 70.0 1.19 7140 80.0 1.36 8160 90.0 1.53 9190 100 1.70 1.02 × 104 200 3.41 2.04 × 104 300 5.11 3.06 × 104 400 6.81 4.08 × 104 500 8.52 5.10 × 104 600 10.2 6.12 × 104 700 11.9 7.14 × 104 705 12.0 7.19 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.8 1.29 5670 50.0 1.58 6950 60.0 1.89 8330 70.0 2.21 9720 80.0 2.52 1.11 × 104 90.0 2.84 1.25 × 104 100 3.16 1.39 × 104 200 6.31 2.78 × 104 300 9.47 4.17 × 104 380 12.0 5.28 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.8 2.20 7400 50.0 2.69 9070 60.0 3.23 1.09 × 104 70.0 3.77 1.27 × 104 80.0 4.31 1.45 × 104 90.0 4.84 1.63 × 104 100 5.38 1.81 × 104 200 10.8 3.63 × 104 223 12.0 4.05 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.8 3.52 9370 50.0 4.31 1.15 × 104 60.0 5.17 1.38 × 104 70.0 6.04 1.61 × 104 80.0 6.90 1.84 × 104 90.0 7.76 2.07 × 104 100 8.62 2.30 × 104 139 12.0 3.20 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.8 5.36 1.16 × 104 50.0 6.57 1.42 × 104 60.0 7.88 1.70 × 104 70.0 9.20 1.98 × 104 80.0 10.5 2.27 × 104 90.0 11.8 2.55 × 104 91.3 12.0 2.59 × 104