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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span and the maximum normal stress occuring at the center support 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 3.59 × 10-6 12.1 50.0 4.40 × 10-6 14.9 60.0 5.28 × 10-6 17.9 70.0 6.16 × 10-6 20.8 80.0 7.04 × 10-6 23.8 90.0 7.92 × 10-6 26.8 100 8.80 × 10-6 29.8 200 1.76 × 10-5 59.6 300 2.64 × 10-5 89.3 400 3.52 × 10-5 119 500 4.40 × 10-5 149 600 5.28 × 10-5 179 700 6.16 × 10-5 208 800 7.04 × 10-5 238 900 7.92 × 10-5 268 1000 8.80 × 10-5 298 2000 1.76 × 10-4 596 3000 2.64 × 10-4 893 4000 3.52 × 10-4 1190 5000 4.40 × 10-4 1490 6000 5.28 × 10-4 1790 7000 6.16 × 10-4 2080 8000 7.04 × 10-4 2380 9000 7.92 × 10-4 2680 1.00 × 104 8.80 × 10-4 2980 2.00 × 104 0.00176 5960 3.00 × 104 0.00264 8930 4.00 × 104 0.00352 1.19 × 104 5.00 × 104 0.00440 1.49 × 104 6.00 × 104 0.00528 1.79 × 104 7.00 × 104 0.00616 2.08 × 104 8.00 × 104 0.00704 2.38 × 104 9.00 × 104 0.00792 2.68 × 104 1.00 × 105 0.00880 2.98 × 104 2.00 × 105 0.0176 5.96 × 104 3.00 × 105 0.0264 8.93 × 104 4.00 × 105 0.0352 1.19 × 105 5.00 × 105 0.0440 1.49 × 105 6.00 × 105 0.0528 1.79 × 105 7.00 × 105 0.0616 2.08 × 105 8.00 × 105 0.0704 2.38 × 105 9.00 × 105 0.0792 2.68 × 105 9.97 × 105 0.0878 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 2.77 × 10-5 33.8 50.0 3.39 × 10-5 41.4 60.0 4.07 × 10-5 49.6 70.0 4.75 × 10-5 57.9 80.0 5.43 × 10-5 66.2 90.0 6.11 × 10-5 74.4 100 6.79 × 10-5 82.7 200 1.36 × 10-4 165 300 2.04 × 10-4 248 400 2.72 × 10-4 331 500 3.39 × 10-4 414 600 4.07 × 10-4 496 700 4.75 × 10-4 579 800 5.43 × 10-4 662 900 6.11 × 10-4 744 1000 6.79 × 10-4 827 2000 0.00136 1650 3000 0.00204 2480 4000 0.00272 3310 5000 0.00339 4140 6000 0.00407 4960 7000 0.00475 5790 8000 0.00543 6620 9000 0.00611 7440 1.00 × 104 0.00679 8270 2.00 × 104 0.0136 1.65 × 104 3.00 × 104 0.0204 2.48 × 104 4.00 × 104 0.0272 3.31 × 104 5.00 × 104 0.0339 4.14 × 104 6.00 × 104 0.0407 4.96 × 104 7.00 × 104 0.0475 5.79 × 104 8.00 × 104 0.0543 6.62 × 104 9.00 × 104 0.0611 7.44 × 104 1.00 × 105 0.0679 8.27 × 104 2.00 × 105 0.136 1.65 × 105 3.00 × 105 0.204 2.48 × 105 3.59 × 105 0.244 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 4.43 × 10-4 135 50.0 5.43 × 10-4 165 60.0 6.52 × 10-4 199 70.0 7.60 × 10-4 232 80.0 8.69 × 10-4 265 90.0 9.78 × 10-4 298 100 0.00109 331 200 0.00217 662 300 0.00326 993 400 0.00435 1320 500 0.00543 1650 600 0.00652 1990 700 0.00760 2320 800 0.00869 2650 900 0.00978 2980 1000 0.0109 3310 2000 0.0217 6620 3000 0.0326 9930 4000 0.0435 1.32 × 104 5000 0.0543 1.65 × 104 6000 0.0652 1.99 × 104 7000 0.0760 2.32 × 104 8000 0.0869 2.65 × 104 9000 0.0978 2.98 × 104 1.00 × 104 0.109 3.31 × 104 2.00 × 104 0.217 6.62 × 104 3.00 × 104 0.326 9.93 × 104 4.00 × 104 0.435 1.32 × 105 5.00 × 104 0.543 1.65 × 105 6.00 × 104 0.652 1.99 × 105 7.00 × 104 0.760 2.32 × 105 8.00 × 104 0.869 2.65 × 105 8.98 × 104 0.975 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 0.00224 304 50.0 0.00275 372 60.0 0.00330 447 70.0 0.00385 521 80.0 0.00440 596 90.0 0.00495 670 100 0.00550 744 200 0.0110 1490 300 0.0165 2230 400 0.0220 2980 500 0.0275 3720 600 0.0330 4470 700 0.0385 5210 800 0.0440 5960 900 0.0495 6700 1000 0.0550 7440 2000 0.110 1.49 × 104 3000 0.165 2.23 × 104 4000 0.220 2.98 × 104 5000 0.275 3.72 × 104 6000 0.330 4.47 × 104 7000 0.385 5.21 × 104 8000 0.440 5.96 × 104 9000 0.495 6.70 × 104 1.00 × 104 0.550 7.44 × 104 2.00 × 104 1.10 1.49 × 105 3.00 × 104 1.65 2.23 × 105 3.99 × 104 2.19 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 0.00709 540 50.0 0.00869 662 60.0 0.0104 794 70.0 0.0122 926 80.0 0.0139 1060 90.0 0.0156 1190 100 0.0174 1320 200 0.0348 2650 300 0.0521 3970 400 0.0695 5290 500 0.0869 6620 600 0.104 7940 700 0.122 9260 800 0.139 1.06 × 104 900 0.156 1.19 × 104 1000 0.174 1.32 × 104 2000 0.348 2.65 × 104 3000 0.521 3.97 × 104 4000 0.695 5.29 × 104 5000 0.869 6.62 × 104 6000 1.04 7.94 × 104 7000 1.22 9.26 × 104 8000 1.39 1.06 × 105 9000 1.56 1.19 × 105 1.00 × 104 1.74 1.32 × 105 2.00 × 104 3.48 2.65 × 105 2.24 × 104 3.90 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 0.0173 844 50.0 0.0212 1030 60.0 0.0255 1240 70.0 0.0297 1450 80.0 0.0339 1650 90.0 0.0382 1860 100 0.0424 2070 200 0.0849 4140 300 0.127 6200 400 0.170 8270 500 0.212 1.03 × 104 600 0.255 1.24 × 104 700 0.297 1.45 × 104 800 0.339 1.65 × 104 900 0.382 1.86 × 104 1000 0.424 2.07 × 104 2000 0.849 4.14 × 104 3000 1.27 6.20 × 104 4000 1.70 8.27 × 104 5000 2.12 1.03 × 105 6000 2.55 1.24 × 105 7000 2.97 1.45 × 105 8000 3.39 1.65 × 105 9000 3.82 1.86 × 105 1.00 × 104 4.24 2.07 × 105 1.44 × 104 6.10 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 0.0359 1220 50.0 0.0440 1490 60.0 0.0528 1790 70.0 0.0616 2080 80.0 0.0704 2380 90.0 0.0792 2680 100 0.0880 2980 200 0.176 5960 300 0.264 8930 400 0.352 1.19 × 104 500 0.440 1.49 × 104 600 0.528 1.79 × 104 700 0.616 2.08 × 104 800 0.704 2.38 × 104 900 0.792 2.68 × 104 1000 0.880 2.98 × 104 2000 1.76 5.96 × 104 3000 2.64 8.93 × 104 4000 3.52 1.19 × 105 5000 4.40 1.49 × 105 6000 5.28 1.79 × 105 7000 6.16 2.08 × 105 8000 7.04 2.38 × 105 9000 7.92 2.68 × 105 9970 8.78 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 0.113 2160 50.0 0.139 2650 60.0 0.167 3180 70.0 0.195 3710 80.0 0.222 4240 90.0 0.250 4760 100 0.278 5290 200 0.556 1.06 × 104 300 0.834 1.59 × 104 400 1.11 2.12 × 104 500 1.39 2.65 × 104 600 1.67 3.18 × 104 700 1.95 3.71 × 104 800 2.22 4.24 × 104 900 2.50 4.76 × 104 1000 2.78 5.29 × 104 2000 5.56 1.06 × 105 3000 8.34 1.59 × 105 4000 11.1 2.12 × 105 4310 12.0 2.28 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.8 0.277 3380 50.0 0.339 4140 60.0 0.407 4960 70.0 0.475 5790 80.0 0.543 6620 90.0 0.611 7440 100 0.679 8270 200 1.36 1.65 × 104 300 2.04 2.48 × 104 400 2.72 3.31 × 104 500 3.39 4.14 × 104 600 4.07 4.96 × 104 700 4.75 5.79 × 104 800 5.43 6.62 × 104 900 6.11 7.44 × 104 1000 6.79 8.27 × 104 1770 12.0 1.46 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.8 0.574 4860 50.0 0.704 5960 60.0 0.845 7150 70.0 0.986 8340 80.0 1.13 9530 90.0 1.27 1.07 × 104 100 1.41 1.19 × 104 200 2.82 2.38 × 104 300 4.22 3.57 × 104 400 5.63 4.76 × 104 500 7.04 5.96 × 104 600 8.45 7.15 × 104 700 9.86 8.34 × 104 800 11.3 9.53 × 104 852 12.0 1.02 × 105
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.8 1.06 6620 50.0 1.30 8110 60.0 1.57 9730 70.0 1.83 1.13 × 104 80.0 2.09 1.30 × 104 90.0 2.35 1.46 × 104 100 2.61 1.62 × 104 200 5.22 3.24 × 104 300 7.83 4.86 × 104 400 10.4 6.49 × 104 460 12.0 7.46 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.8 1.82 8640 50.0 2.22 1.06 × 104 60.0 2.67 1.27 × 104 70.0 3.11 1.48 × 104 80.0 3.56 1.69 × 104 90.0 4.00 1.91 × 104 100 4.45 2.12 × 104 200 8.90 4.24 × 104 270 12.0 5.71 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.8 2.91 1.09 × 104 50.0 3.56 1.34 × 104 60.0 4.28 1.61 × 104 70.0 4.99 1.88 × 104 80.0 5.70 2.14 × 104 90.0 6.41 2.41 × 104 100 7.13 2.68 × 104 168 12.0 4.51 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.8 4.43 1.35 × 104 50.0 5.43 1.65 × 104 60.0 6.52 1.99 × 104 70.0 7.60 2.32 × 104 80.0 8.69 2.65 × 104 90.0 9.78 2.98 × 104 100 10.9 3.31 × 104 110 12.0 3.65 × 104
 Steel I Beam: S12 × 40.8 (S12 inch tall × 40.8 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 40.8 10.8 2.11 × 104 45.2 12.0 2.34 × 104
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