S Section Steel I Beam: S12 × 31.8

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S12 × 31.8
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 = 218 in4) for the S12 × 31.8 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 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 31.8 3.49 × 10-6 11.8 40.0 4.39 × 10-6 14.9 50.0 5.49 × 10-6 18.6 60.0 6.59 × 10-6 22.3 70.0 7.69 × 10-6 26.0 80.0 8.78 × 10-6 29.7 90.0 9.88 × 10-6 33.4 100 1.10 × 10-5 37.2 200 2.20 × 10-5 74.3 300 3.29 × 10-5 111 400 4.39 × 10-5 149 500 5.49 × 10-5 186 600 6.59 × 10-5 223 700 7.69 × 10-5 260 800 8.78 × 10-5 297 900 9.88 × 10-5 334 1000 1.10 × 10-4 372 2000 2.20 × 10-4 743 3000 3.29 × 10-4 1110 4000 4.39 × 10-4 1490 5000 5.49 × 10-4 1860 6000 6.59 × 10-4 2230 7000 7.69 × 10-4 2600 8000 8.78 × 10-4 2970 9000 9.88 × 10-4 3340 1.00 × 104 0.00110 3720 2.00 × 104 0.00220 7430 3.00 × 104 0.00329 1.11 × 104 4.00 × 104 0.00439 1.49 × 104 5.00 × 104 0.00549 1.86 × 104 6.00 × 104 0.00659 2.23 × 104 7.00 × 104 0.00769 2.60 × 104 8.00 × 104 0.00878 2.97 × 104 9.00 × 104 0.00988 3.34 × 104 1.00 × 105 0.0110 3.72 × 104 2.00 × 105 0.0220 7.43 × 104 3.00 × 105 0.0329 1.11 × 105 4.00 × 105 0.0439 1.49 × 105 5.00 × 105 0.0549 1.86 × 105 6.00 × 105 0.0659 2.23 × 105 7.00 × 105 0.0769 2.60 × 105 7.99 × 105 0.0878 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 31.8 2.69 × 10-5 32.8 40.0 3.39 × 10-5 41.3 50.0 4.24 × 10-5 51.6 60.0 5.08 × 10-5 61.9 70.0 5.93 × 10-5 72.2 80.0 6.78 × 10-5 82.6 90.0 7.62 × 10-5 92.9 100 8.47 × 10-5 103 200 1.69 × 10-4 206 300 2.54 × 10-4 310 400 3.39 × 10-4 413 500 4.24 × 10-4 516 600 5.08 × 10-4 619 700 5.93 × 10-4 722 800 6.78 × 10-4 826 900 7.62 × 10-4 929 1000 8.47 × 10-4 1030 2000 0.00169 2060 3000 0.00254 3100 4000 0.00339 4130 5000 0.00424 5160 6000 0.00508 6190 7000 0.00593 7220 8000 0.00678 8260 9000 0.00762 9290 1.00 × 104 0.00847 1.03 × 104 2.00 × 104 0.0169 2.06 × 104 3.00 × 104 0.0254 3.10 × 104 4.00 × 104 0.0339 4.13 × 104 5.00 × 104 0.0424 5.16 × 104 6.00 × 104 0.0508 6.19 × 104 7.00 × 104 0.0593 7.22 × 104 8.00 × 104 0.0678 8.26 × 104 9.00 × 104 0.0762 9.29 × 104 1.00 × 105 0.0847 1.03 × 105 2.00 × 105 0.169 2.06 × 105 2.88 × 105 0.244 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 31.8 4.31 × 10-4 131 40.0 5.42 × 10-4 165 50.0 6.78 × 10-4 206 60.0 8.13 × 10-4 248 70.0 9.49 × 10-4 289 80.0 0.00108 330 90.0 0.00122 372 100 0.00136 413 200 0.00271 826 300 0.00407 1240 400 0.00542 1650 500 0.00678 2060 600 0.00813 2480 700 0.00949 2890 800 0.0108 3300 900 0.0122 3720 1000 0.0136 4130 2000 0.0271 8260 3000 0.0407 1.24 × 104 4000 0.0542 1.65 × 104 5000 0.0678 2.06 × 104 6000 0.0813 2.48 × 104 7000 0.0949 2.89 × 104 8000 0.108 3.30 × 104 9000 0.122 3.72 × 104 1.00 × 104 0.136 4.13 × 104 2.00 × 104 0.271 8.26 × 104 3.00 × 104 0.407 1.24 × 105 4.00 × 104 0.542 1.65 × 105 5.00 × 104 0.678 2.06 × 105 6.00 × 104 0.813 2.48 × 105 7.00 × 104 0.949 2.89 × 105 7.19 × 104 0.975 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 31.8 0.00218 295 40.0 0.00274 372 50.0 0.00343 464 60.0 0.00412 557 70.0 0.00480 650 80.0 0.00549 743 90.0 0.00618 836 100 0.00686 929 200 0.0137 1860 300 0.0206 2790 400 0.0274 3720 500 0.0343 4640 600 0.0412 5570 700 0.0480 6500 800 0.0549 7430 900 0.0618 8360 1000 0.0686 9290 2000 0.137 1.86 × 104 3000 0.206 2.79 × 104 4000 0.274 3.72 × 104 5000 0.343 4.64 × 104 6000 0.412 5.57 × 104 7000 0.480 6.50 × 104 8000 0.549 7.43 × 104 9000 0.618 8.36 × 104 1.00 × 104 0.686 9.29 × 104 2.00 × 104 1.37 1.86 × 105 3.00 × 104 2.06 2.79 × 105 3.20 × 104 2.19 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 31.8 0.00690 525 40.0 0.00867 661 50.0 0.0108 826 60.0 0.0130 991 70.0 0.0152 1160 80.0 0.0173 1320 90.0 0.0195 1490 100 0.0217 1650 200 0.0434 3300 300 0.0651 4950 400 0.0867 6610 500 0.108 8260 600 0.130 9910 700 0.152 1.16 × 104 800 0.173 1.32 × 104 900 0.195 1.49 × 104 1000 0.217 1.65 × 104 2000 0.434 3.30 × 104 3000 0.651 4.95 × 104 4000 0.867 6.61 × 104 5000 1.08 8.26 × 104 6000 1.30 9.91 × 104 7000 1.52 1.16 × 105 8000 1.73 1.32 × 105 9000 1.95 1.49 × 105 1.00 × 104 2.17 1.65 × 105 1.80 × 104 3.90 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.8 0.0168 821 40.0 0.0212 1030 50.0 0.0265 1290 60.0 0.0318 1550 70.0 0.0371 1810 80.0 0.0424 2060 90.0 0.0477 2320 100 0.0529 2580 200 0.106 5160 300 0.159 7740 400 0.212 1.03 × 104 500 0.265 1.29 × 104 600 0.318 1.55 × 104 700 0.371 1.81 × 104 800 0.424 2.06 × 104 900 0.477 2.32 × 104 1000 0.529 2.58 × 104 2000 1.06 5.16 × 104 3000 1.59 7.74 × 104 4000 2.12 1.03 × 105 5000 2.65 1.29 × 105 6000 3.18 1.55 × 105 7000 3.71 1.81 × 105 8000 4.24 2.06 × 105 9000 4.77 2.32 × 105 1.00 × 104 5.29 2.58 × 105 1.15 × 104 6.10 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.8 0.0349 1180 40.0 0.0439 1490 50.0 0.0549 1860 60.0 0.0659 2230 70.0 0.0769 2600 80.0 0.0878 2970 90.0 0.0988 3340 100 0.110 3720 200 0.220 7430 300 0.329 1.11 × 104 400 0.439 1.49 × 104 500 0.549 1.86 × 104 600 0.659 2.23 × 104 700 0.769 2.60 × 104 800 0.878 2.97 × 104 900 0.988 3.34 × 104 1000 1.10 3.72 × 104 2000 2.20 7.43 × 104 3000 3.29 1.11 × 105 4000 4.39 1.49 × 105 5000 5.49 1.86 × 105 6000 6.59 2.23 × 105 7000 7.69 2.60 × 105 7990 8.78 2.97 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.8 0.110 2100 40.0 0.139 2640 50.0 0.173 3300 60.0 0.208 3960 70.0 0.243 4620 80.0 0.278 5280 90.0 0.312 5940 100 0.347 6610 200 0.694 1.32 × 104 300 1.04 1.98 × 104 400 1.39 2.64 × 104 500 1.73 3.30 × 104 600 2.08 3.96 × 104 700 2.43 4.62 × 104 800 2.78 5.28 × 104 900 3.12 5.94 × 104 1000 3.47 6.61 × 104 2000 6.94 1.32 × 105 3000 10.4 1.98 × 105 3460 12.0 2.28 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.8 0.269 3280 40.0 0.339 4130 50.0 0.424 5160 60.0 0.508 6190 70.0 0.593 7220 80.0 0.678 8260 90.0 0.762 9290 100 0.847 1.03 × 104 200 1.69 2.06 × 104 300 2.54 3.10 × 104 400 3.39 4.13 × 104 500 4.24 5.16 × 104 600 5.08 6.19 × 104 700 5.93 7.22 × 104 800 6.78 8.26 × 104 900 7.62 9.29 × 104 1000 8.47 1.03 × 105 1420 12.0 1.46 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.8 0.559 4730 40.0 0.703 5940 50.0 0.878 7430 60.0 1.05 8920 70.0 1.23 1.04 × 104 80.0 1.41 1.19 × 104 90.0 1.58 1.34 × 104 100 1.76 1.49 × 104 200 3.51 2.97 × 104 300 5.27 4.46 × 104 400 7.03 5.94 × 104 500 8.78 7.43 × 104 600 10.5 8.92 × 104 683 12.0 1.02 × 105
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.8 1.03 6430 40.0 1.30 8090 50.0 1.63 1.01 × 104 60.0 1.95 1.21 × 104 70.0 2.28 1.42 × 104 80.0 2.60 1.62 × 104 90.0 2.93 1.82 × 104 100 3.25 2.02 × 104 200 6.51 4.05 × 104 300 9.76 6.07 × 104 369 12.0 7.46 × 104
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.8 1.77 8400 40.0 2.22 1.06 × 104 50.0 2.78 1.32 × 104 60.0 3.33 1.59 × 104 70.0 3.89 1.85 × 104 80.0 4.44 2.11 × 104 90.0 5.00 2.38 × 104 100 5.55 2.64 × 104 200 11.1 5.28 × 104 216 12.0 5.71 × 104
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.8 2.83 1.06 × 104 40.0 3.56 1.34 × 104 50.0 4.45 1.67 × 104 60.0 5.34 2.01 × 104 70.0 6.23 2.34 × 104 80.0 7.11 2.68 × 104 90.0 8.00 3.01 × 104 100 8.89 3.34 × 104 135 12.0 4.51 × 104
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 31.8 4.31 1.31 × 104 40.0 5.42 1.65 × 104 50.0 6.78 2.06 × 104 60.0 8.13 2.48 × 104 70.0 9.49 2.89 × 104 80.0 10.8 3.30 × 104 88.5 12.0 3.65 × 104
 Steel I Beam: S12 × 31.8 (S12 inch tall × 31.8 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 31.8 10.5 2.05 × 104 36.3 12.0 2.34 × 104