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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S12 × 31.8

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center 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 (S Section 12 inch tall × 31.8 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 31.8 8.73 × 10-6 11.8 40.0 1.10 × 10-5 14.9 50.0 1.37 × 10-5 18.6 60.0 1.65 × 10-5 22.3 70.0 1.92 × 10-5 26.0 80.0 2.20 × 10-5 29.7 90.0 2.47 × 10-5 33.4 100 2.74 × 10-5 37.2 200 5.49 × 10-5 74.3 300 8.23 × 10-5 111 400 1.10 × 10-4 149 500 1.37 × 10-4 186 600 1.65 × 10-4 223 700 1.92 × 10-4 260 800 2.20 × 10-4 297 900 2.47 × 10-4 334 1000 2.74 × 10-4 372 2000 5.49 × 10-4 743 3000 8.23 × 10-4 1110 4000 0.00110 1490 5000 0.00137 1860 6000 0.00165 2230 7000 0.00192 2600 8000 0.00220 2970 9000 0.00247 3340 1.00 × 104 0.00274 3720 2.00 × 104 0.00549 7430 3.00 × 104 0.00823 1.11 × 104 4.00 × 104 0.0110 1.49 × 104 5.00 × 104 0.0137 1.86 × 104 6.00 × 104 0.0165 2.23 × 104 7.00 × 104 0.0192 2.60 × 104 8.00 × 104 0.0220 2.97 × 104 9.00 × 104 0.0247 3.34 × 104 1.00 × 105 0.0274 3.72 × 104 2.00 × 105 0.0549 7.43 × 104 3.00 × 105 0.0823 1.11 × 105 4.00 × 105 0.110 1.49 × 105 5.00 × 105 0.137 1.86 × 105 6.00 × 105 0.165 2.23 × 105 7.00 × 105 0.192 2.60 × 105 7.99 × 105 0.219 2.97 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 31.8 6.73 × 10-5 32.8 40.0 8.47 × 10-5 41.3 50.0 1.06 × 10-4 51.6 60.0 1.27 × 10-4 61.9 70.0 1.48 × 10-4 72.2 80.0 1.69 × 10-4 82.6 90.0 1.91 × 10-4 92.9 100 2.12 × 10-4 103 200 4.24 × 10-4 206 300 6.35 × 10-4 310 400 8.47 × 10-4 413 500 0.00106 516 600 0.00127 619 700 0.00148 722 800 0.00169 826 900 0.00191 929 1000 0.00212 1030 2000 0.00424 2060 3000 0.00635 3100 4000 0.00847 4130 5000 0.0106 5160 6000 0.0127 6190 7000 0.0148 7220 8000 0.0169 8260 9000 0.0191 9290 1.00 × 104 0.0212 1.03 × 104 2.00 × 104 0.0424 2.06 × 104 3.00 × 104 0.0635 3.10 × 104 4.00 × 104 0.0847 4.13 × 104 5.00 × 104 0.106 5.16 × 104 6.00 × 104 0.127 6.19 × 104 7.00 × 104 0.148 7.22 × 104 8.00 × 104 0.169 8.26 × 104 9.00 × 104 0.191 9.29 × 104 1.00 × 105 0.212 1.03 × 105 2.00 × 105 0.424 2.06 × 105 2.88 × 105 0.610 2.97 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 31.8 0.00108 131 40.0 0.00136 165 50.0 0.00169 206 60.0 0.00203 248 70.0 0.00237 289 80.0 0.00271 330 90.0 0.00305 372 100 0.00339 413 200 0.00678 826 300 0.0102 1240 400 0.0136 1650 500 0.0169 2060 600 0.0203 2480 700 0.0237 2890 800 0.0271 3300 900 0.0305 3720 1000 0.0339 4130 2000 0.0678 8260 3000 0.102 1.24 × 104 4000 0.136 1.65 × 104 5000 0.169 2.06 × 104 6000 0.203 2.48 × 104 7000 0.237 2.89 × 104 8000 0.271 3.30 × 104 9000 0.305 3.72 × 104 1.00 × 104 0.339 4.13 × 104 2.00 × 104 0.678 8.26 × 104 3.00 × 104 1.02 1.24 × 105 4.00 × 104 1.36 1.65 × 105 5.00 × 104 1.69 2.06 × 105 6.00 × 104 2.03 2.48 × 105 7.00 × 104 2.37 2.89 × 105 7.19 × 104 2.44 2.97 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 31.8 0.00546 295 40.0 0.00686 372 50.0 0.00858 464 60.0 0.0103 557 70.0 0.0120 650 80.0 0.0137 743 90.0 0.0154 836 100 0.0172 929 200 0.0343 1860 300 0.0515 2790 400 0.0686 3720 500 0.0858 4640 600 0.103 5570 700 0.120 6500 800 0.137 7430 900 0.154 8360 1000 0.172 9290 2000 0.343 1.86 × 104 3000 0.515 2.79 × 104 4000 0.686 3.72 × 104 5000 0.858 4.64 × 104 6000 1.03 5.57 × 104 7000 1.20 6.50 × 104 8000 1.37 7.43 × 104 9000 1.54 8.36 × 104 1.00 × 104 1.72 9.29 × 104 2.00 × 104 3.43 1.86 × 105 3.00 × 104 5.15 2.79 × 105 3.20 × 104 5.49 2.97 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 31.8 0.0172 525 40.0 0.0217 661 50.0 0.0271 826 60.0 0.0325 991 70.0 0.0380 1160 80.0 0.0434 1320 90.0 0.0488 1490 100 0.0542 1650 200 0.108 3300 300 0.163 4950 400 0.217 6610 500 0.271 8260 600 0.325 9910 700 0.380 1.16 × 104 800 0.434 1.32 × 104 900 0.488 1.49 × 104 1000 0.542 1.65 × 104 2000 1.08 3.30 × 104 3000 1.63 4.95 × 104 4000 2.17 6.61 × 104 5000 2.71 8.26 × 104 6000 3.25 9.91 × 104 7000 3.80 1.16 × 105 8000 4.34 1.32 × 105 9000 4.88 1.49 × 105 1.00 × 104 5.42 1.65 × 105 1.80 × 104 9.75 2.97 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.8 0.0421 821 40.0 0.0529 1030 50.0 0.0662 1290 60.0 0.0794 1550 70.0 0.0927 1810 80.0 0.106 2060 90.0 0.119 2320 100 0.132 2580 200 0.265 5160 300 0.397 7740 400 0.529 1.03 × 104 500 0.662 1.29 × 104 600 0.794 1.55 × 104 700 0.927 1.81 × 104 800 1.06 2.06 × 104 900 1.19 2.32 × 104 1000 1.32 2.58 × 104 2000 2.65 5.16 × 104 3000 3.97 7.74 × 104 4000 5.29 1.03 × 105 5000 6.62 1.29 × 105 6000 7.94 1.55 × 105 7000 9.27 1.81 × 105 8000 10.6 2.06 × 105 9000 11.9 2.32 × 105 9070 12.0 2.34 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.8 0.0873 1180 40.0 0.110 1490 50.0 0.137 1860 60.0 0.165 2230 70.0 0.192 2600 80.0 0.220 2970 90.0 0.247 3340 100 0.274 3720 200 0.549 7430 300 0.823 1.11 × 104 400 1.10 1.49 × 104 500 1.37 1.86 × 104 600 1.65 2.23 × 104 700 1.92 2.60 × 104 800 2.20 2.97 × 104 900 2.47 3.34 × 104 1000 2.74 3.72 × 104 2000 5.49 7.43 × 104 3000 8.23 1.11 × 105 4000 11.0 1.49 × 105 4370 12.0 1.62 × 105
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.8 0.276 2100 40.0 0.347 2640 50.0 0.434 3300 60.0 0.520 3960 70.0 0.607 4620 80.0 0.694 5280 90.0 0.781 5940 100 0.867 6610 200 1.73 1.32 × 104 300 2.60 1.98 × 104 400 3.47 2.64 × 104 500 4.34 3.30 × 104 600 5.20 3.96 × 104 700 6.07 4.62 × 104 800 6.94 5.28 × 104 900 7.81 5.94 × 104 1000 8.67 6.61 × 104 1380 12.0 9.14 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.8 0.673 3280 40.0 0.847 4130 50.0 1.06 5160 60.0 1.27 6190 70.0 1.48 7220 80.0 1.69 8260 90.0 1.91 9290 100 2.12 1.03 × 104 200 4.24 2.06 × 104 300 6.35 3.10 × 104 400 8.47 4.13 × 104 500 10.6 5.16 × 104 567 12.0 5.85 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.8 1.40 4730 40.0 1.76 5940 50.0 2.20 7430 60.0 2.64 8920 70.0 3.07 1.04 × 104 80.0 3.51 1.19 × 104 90.0 3.95 1.34 × 104 100 4.39 1.49 × 104 200 8.78 2.97 × 104 273 12.0 4.06 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.8 2.59 6430 40.0 3.25 8090 50.0 4.07 1.01 × 104 60.0 4.88 1.21 × 104 70.0 5.70 1.42 × 104 80.0 6.51 1.62 × 104 90.0 7.32 1.82 × 104 100 8.14 2.02 × 104 147 12.0 2.98 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.8 4.41 8400 40.0 5.55 1.06 × 104 50.0 6.94 1.32 × 104 60.0 8.33 1.59 × 104 70.0 9.72 1.85 × 104 80.0 11.1 2.11 × 104 86.5 12.0 2.28 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.8 7.07 1.06 × 104 40.0 8.89 1.34 × 104 50.0 11.1 1.67 × 104 54.0 12.0 1.80 × 104
 Steel I Beam: S12 × 31.8 (S Section 12 inch tall × 31.8 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 31.8 10.8 1.31 × 104 35.4 12.0 1.46 × 104
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