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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S12 × 50

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 = 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 (S Section 12 inch tall × 50 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 50.0 9.81 × 10-6 13.3 60.0 1.18 × 10-5 15.9 70.0 1.37 × 10-5 18.6 80.0 1.57 × 10-5 21.2 90.0 1.77 × 10-5 23.9 100 1.96 × 10-5 26.6 200 3.92 × 10-5 53.1 300 5.89 × 10-5 79.7 400 7.85 × 10-5 106 500 9.81 × 10-5 133 600 1.18 × 10-4 159 700 1.37 × 10-4 186 800 1.57 × 10-4 212 900 1.77 × 10-4 239 1000 1.96 × 10-4 266 2000 3.92 × 10-4 531 3000 5.89 × 10-4 797 4000 7.85 × 10-4 1060 5000 9.81 × 10-4 1330 6000 0.00118 1590 7000 0.00137 1860 8000 0.00157 2120 9000 0.00177 2390 1.00 × 104 0.00196 2660 2.00 × 104 0.00392 5310 3.00 × 104 0.00589 7970 4.00 × 104 0.00785 1.06 × 104 5.00 × 104 0.00981 1.33 × 104 6.00 × 104 0.0118 1.59 × 104 7.00 × 104 0.0137 1.86 × 104 8.00 × 104 0.0157 2.12 × 104 9.00 × 104 0.0177 2.39 × 104 1.00 × 105 0.0196 2.66 × 104 2.00 × 105 0.0392 5.31 × 104 3.00 × 105 0.0589 7.97 × 104 4.00 × 105 0.0785 1.06 × 105 5.00 × 105 0.0981 1.33 × 105 6.00 × 105 0.118 1.59 × 105 7.00 × 105 0.137 1.86 × 105 8.00 × 105 0.157 2.12 × 105 9.00 × 105 0.177 2.39 × 105 1.00 × 106 0.196 2.66 × 105 1.12 × 106 0.219 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 50.0 7.57 × 10-5 36.9 60.0 9.08 × 10-5 44.3 70.0 1.06 × 10-4 51.6 80.0 1.21 × 10-4 59.0 90.0 1.36 × 10-4 66.4 100 1.51 × 10-4 73.8 200 3.03 × 10-4 148 300 4.54 × 10-4 221 400 6.06 × 10-4 295 500 7.57 × 10-4 369 600 9.08 × 10-4 443 700 0.00106 516 800 0.00121 590 900 0.00136 664 1000 0.00151 738 2000 0.00303 1480 3000 0.00454 2210 4000 0.00606 2950 5000 0.00757 3690 6000 0.00908 4430 7000 0.0106 5160 8000 0.0121 5900 9000 0.0136 6640 1.00 × 104 0.0151 7380 2.00 × 104 0.0303 1.48 × 104 3.00 × 104 0.0454 2.21 × 104 4.00 × 104 0.0606 2.95 × 104 5.00 × 104 0.0757 3.69 × 104 6.00 × 104 0.0908 4.43 × 104 7.00 × 104 0.106 5.16 × 104 8.00 × 104 0.121 5.90 × 104 9.00 × 104 0.136 6.64 × 104 1.00 × 105 0.151 7.38 × 104 2.00 × 105 0.303 1.48 × 105 3.00 × 105 0.454 2.21 × 105 4.00 × 105 0.606 2.95 × 105 4.03 × 105 0.610 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 50.0 0.00121 148 60.0 0.00145 177 70.0 0.00170 207 80.0 0.00194 236 90.0 0.00218 266 100 0.00242 295 200 0.00484 590 300 0.00727 885 400 0.00969 1180 500 0.0121 1480 600 0.0145 1770 700 0.0170 2070 800 0.0194 2360 900 0.0218 2660 1000 0.0242 2950 2000 0.0484 5900 3000 0.0727 8850 4000 0.0969 1.18 × 104 5000 0.121 1.48 × 104 6000 0.145 1.77 × 104 7000 0.170 2.07 × 104 8000 0.194 2.36 × 104 9000 0.218 2.66 × 104 1.00 × 104 0.242 2.95 × 104 2.00 × 104 0.484 5.90 × 104 3.00 × 104 0.727 8.85 × 104 4.00 × 104 0.969 1.18 × 105 5.00 × 104 1.21 1.48 × 105 6.00 × 104 1.45 1.77 × 105 7.00 × 104 1.70 2.07 × 105 8.00 × 104 1.94 2.36 × 105 9.00 × 104 2.18 2.66 × 105 1.00 × 105 2.42 2.95 × 105 1.01 × 105 2.44 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 50.0 0.00613 332 60.0 0.00736 398 70.0 0.00858 465 80.0 0.00981 531 90.0 0.0110 598 100 0.0123 664 200 0.0245 1330 300 0.0368 1990 400 0.0490 2660 500 0.0613 3320 600 0.0736 3980 700 0.0858 4650 800 0.0981 5310 900 0.110 5980 1000 0.123 6640 2000 0.245 1.33 × 104 3000 0.368 1.99 × 104 4000 0.490 2.66 × 104 5000 0.613 3.32 × 104 6000 0.736 3.98 × 104 7000 0.858 4.65 × 104 8000 0.981 5.31 × 104 9000 1.10 5.98 × 104 1.00 × 104 1.23 6.64 × 104 2.00 × 104 2.45 1.33 × 105 3.00 × 104 3.68 1.99 × 105 4.00 × 104 4.90 2.66 × 105 4.47 × 104 5.49 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 50.0 0.0194 590 60.0 0.0233 708 70.0 0.0271 826 80.0 0.0310 944 90.0 0.0349 1060 100 0.0388 1180 200 0.0775 2360 300 0.116 3540 400 0.155 4720 500 0.194 5900 600 0.233 7080 700 0.271 8260 800 0.310 9440 900 0.349 1.06 × 104 1000 0.388 1.18 × 104 2000 0.775 2.36 × 104 3000 1.16 3.54 × 104 4000 1.55 4.72 × 104 5000 1.94 5.90 × 104 6000 2.33 7.08 × 104 7000 2.71 8.26 × 104 8000 3.10 9.44 × 104 9000 3.49 1.06 × 105 1.00 × 104 3.88 1.18 × 105 2.00 × 104 7.75 2.36 × 105 2.52 × 104 9.75 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 50.0 0.0473 922 60.0 0.0568 1110 70.0 0.0662 1290 80.0 0.0757 1480 90.0 0.0851 1660 100 0.0946 1840 200 0.189 3690 300 0.284 5530 400 0.378 7380 500 0.473 9220 600 0.568 1.11 × 104 700 0.662 1.29 × 104 800 0.757 1.48 × 104 900 0.851 1.66 × 104 1000 0.946 1.84 × 104 2000 1.89 3.69 × 104 3000 2.84 5.53 × 104 4000 3.78 7.38 × 104 5000 4.73 9.22 × 104 6000 5.68 1.11 × 105 7000 6.62 1.29 × 105 8000 7.57 1.48 × 105 9000 8.51 1.66 × 105 1.00 × 104 9.46 1.84 × 105 1.61 × 104 15.2 2.97 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 50.0 0.0981 1330 60.0 0.118 1590 70.0 0.137 1860 80.0 0.157 2120 90.0 0.177 2390 100 0.196 2660 200 0.392 5310 300 0.589 7970 400 0.785 1.06 × 104 500 0.981 1.33 × 104 600 1.18 1.59 × 104 700 1.37 1.86 × 104 800 1.57 2.12 × 104 900 1.77 2.39 × 104 1000 1.96 2.66 × 104 2000 3.92 5.31 × 104 3000 5.89 7.97 × 104 4000 7.85 1.06 × 105 5000 9.81 1.33 × 105 6000 11.8 1.59 × 105 6120 12.0 1.62 × 105
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 50.0 0.310 2360 60.0 0.372 2830 70.0 0.434 3300 80.0 0.496 3780 90.0 0.558 4250 100 0.620 4720 200 1.24 9440 300 1.86 1.42 × 104 400 2.48 1.89 × 104 500 3.10 2.36 × 104 600 3.72 2.83 × 104 700 4.34 3.30 × 104 800 4.96 3.78 × 104 900 5.58 4.25 × 104 1000 6.20 4.72 × 104 1940 12.0 9.14 × 104
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.757 3690 60.0 0.908 4430 70.0 1.06 5160 80.0 1.21 5900 90.0 1.36 6640 100 1.51 7380 200 3.03 1.48 × 104 300 4.54 2.21 × 104 400 6.06 2.95 × 104 500 7.57 3.69 × 104 600 9.08 4.43 × 104 700 10.6 5.16 × 104 793 12.0 5.85 × 104
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 1.57 5310 60.0 1.88 6370 70.0 2.20 7440 80.0 2.51 8500 90.0 2.83 9560 100 3.14 1.06 × 104 200 6.28 2.12 × 104 300 9.42 3.19 × 104 382 12.0 4.06 × 104
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 2.91 7230 60.0 3.49 8680 70.0 4.07 1.01 × 104 80.0 4.65 1.16 × 104 90.0 5.23 1.30 × 104 100 5.82 1.45 × 104 200 11.6 2.89 × 104 206 12.0 2.98 × 104
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 4.96 9440 60.0 5.95 1.13 × 104 70.0 6.94 1.32 × 104 80.0 7.94 1.51 × 104 90.0 8.93 1.70 × 104 100 9.92 1.89 × 104 121 12.0 2.28 × 104
 Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 7.95 1.20 × 104 60.0 9.53 1.43 × 104 70.0 11.1 1.67 × 104 75.5 12.0 1.80 × 104
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