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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S12 × 50
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 = 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 (S12 inch tall × 50 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 50.0 4.75 × 10-6 11.4 60.0 5.70 × 10-6 13.7 70.0 6.64 × 10-6 15.9 80.0 7.59 × 10-6 18.2 90.0 8.54 × 10-6 20.5 100 9.49 × 10-6 22.8 200 1.90 × 10-5 45.5 300 2.85 × 10-5 68.3 400 3.80 × 10-5 91.0 500 4.75 × 10-5 114 600 5.70 × 10-5 137 700 6.64 × 10-5 159 800 7.59 × 10-5 182 900 8.54 × 10-5 205 1000 9.49 × 10-5 228 2000 1.90 × 10-4 455 3000 2.85 × 10-4 683 4000 3.80 × 10-4 910 5000 4.75 × 10-4 1140 6000 5.70 × 10-4 1370 7000 6.64 × 10-4 1590 8000 7.59 × 10-4 1820 9000 8.54 × 10-4 2050 1.00 × 104 9.49 × 10-4 2280 2.00 × 104 0.00190 4550 3.00 × 104 0.00285 6830 4.00 × 104 0.00380 9100 5.00 × 104 0.00475 1.14 × 104 6.00 × 104 0.00570 1.37 × 104 7.00 × 104 0.00664 1.59 × 104 8.00 × 104 0.00759 1.82 × 104 9.00 × 104 0.00854 2.05 × 104 1.00 × 105 0.00949 2.28 × 104 2.00 × 105 0.0190 4.55 × 104 3.00 × 105 0.0285 6.83 × 104 4.00 × 105 0.0380 9.10 × 104 5.00 × 105 0.0475 1.14 × 105 6.00 × 105 0.0570 1.37 × 105 7.00 × 105 0.0664 1.59 × 105 8.00 × 105 0.0759 1.82 × 105 9.00 × 105 0.0854 2.05 × 105 1.00 × 106 0.0949 2.28 × 105 1.31 × 106 0.124 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 50.0 3.66 × 10-5 31.6 60.0 4.39 × 10-5 37.9 70.0 5.13 × 10-5 44.2 80.0 5.86 × 10-5 50.6 90.0 6.59 × 10-5 56.9 100 7.32 × 10-5 63.2 200 1.46 × 10-4 126 300 2.20 × 10-4 190 400 2.93 × 10-4 253 500 3.66 × 10-4 316 600 4.39 × 10-4 379 700 5.13 × 10-4 442 800 5.86 × 10-4 506 900 6.59 × 10-4 569 1000 7.32 × 10-4 632 2000 0.00146 1260 3000 0.00220 1900 4000 0.00293 2530 5000 0.00366 3160 6000 0.00439 3790 7000 0.00513 4420 8000 0.00586 5060 9000 0.00659 5690 1.00 × 104 0.00732 6320 2.00 × 104 0.0146 1.26 × 104 3.00 × 104 0.0220 1.90 × 104 4.00 × 104 0.0293 2.53 × 104 5.00 × 104 0.0366 3.16 × 104 6.00 × 104 0.0439 3.79 × 104 7.00 × 104 0.0513 4.42 × 104 8.00 × 104 0.0586 5.06 × 104 9.00 × 104 0.0659 5.69 × 104 1.00 × 105 0.0732 6.32 × 104 2.00 × 105 0.146 1.26 × 105 3.00 × 105 0.220 1.90 × 105 4.00 × 105 0.293 2.53 × 105 4.70 × 105 0.344 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 50.0 5.86 × 10-4 126 60.0 7.03 × 10-4 152 70.0 8.20 × 10-4 177 80.0 9.38 × 10-4 202 90.0 0.00105 228 100 0.00117 253 200 0.00234 506 300 0.00352 758 400 0.00469 1010 500 0.00586 1260 600 0.00703 1520 700 0.00820 1770 800 0.00938 2020 900 0.0105 2280 1000 0.0117 2530 2000 0.0234 5060 3000 0.0352 7580 4000 0.0469 1.01 × 104 5000 0.0586 1.26 × 104 6000 0.0703 1.52 × 104 7000 0.0820 1.77 × 104 8000 0.0938 2.02 × 104 9000 0.105 2.28 × 104 1.00 × 104 0.117 2.53 × 104 2.00 × 104 0.234 5.06 × 104 3.00 × 104 0.352 7.58 × 104 4.00 × 104 0.469 1.01 × 105 5.00 × 104 0.586 1.26 × 105 6.00 × 104 0.703 1.52 × 105 7.00 × 104 0.820 1.77 × 105 8.00 × 104 0.938 2.02 × 105 9.00 × 104 1.05 2.28 × 105 1.00 × 105 1.17 2.53 × 105 1.17 × 105 1.38 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 50.0 0.00297 284 60.0 0.00356 341 70.0 0.00415 398 80.0 0.00475 455 90.0 0.00534 512 100 0.00593 569 200 0.0119 1140 300 0.0178 1710 400 0.0237 2280 500 0.0297 2840 600 0.0356 3410 700 0.0415 3980 800 0.0475 4550 900 0.0534 5120 1000 0.0593 5690 2000 0.119 1.14 × 104 3000 0.178 1.71 × 104 4000 0.237 2.28 × 104 5000 0.297 2.84 × 104 6000 0.356 3.41 × 104 7000 0.415 3.98 × 104 8000 0.475 4.55 × 104 9000 0.534 5.12 × 104 1.00 × 104 0.593 5.69 × 104 2.00 × 104 1.19 1.14 × 105 3.00 × 104 1.78 1.71 × 105 4.00 × 104 2.37 2.28 × 105 5.00 × 104 2.97 2.84 × 105 5.22 × 104 3.10 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 50.0 0.00938 506 60.0 0.0113 607 70.0 0.0131 708 80.0 0.0150 809 90.0 0.0169 910 100 0.0188 1010 200 0.0375 2020 300 0.0563 3030 400 0.0750 4050 500 0.0938 5060 600 0.113 6070 700 0.131 7080 800 0.150 8090 900 0.169 9100 1000 0.188 1.01 × 104 2000 0.375 2.02 × 104 3000 0.563 3.03 × 104 4000 0.750 4.05 × 104 5000 0.938 5.06 × 104 6000 1.13 6.07 × 104 7000 1.31 7.08 × 104 8000 1.50 8.09 × 104 9000 1.69 9.10 × 104 1.00 × 104 1.88 1.01 × 105 2.00 × 104 3.75 2.02 × 105 2.94 × 104 5.51 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 50.0 0.0229 790 60.0 0.0275 948 70.0 0.0320 1110 80.0 0.0366 1260 90.0 0.0412 1420 100 0.0458 1580 200 0.0916 3160 300 0.137 4740 400 0.183 6320 500 0.229 7900 600 0.275 9480 700 0.320 1.11 × 104 800 0.366 1.26 × 104 900 0.412 1.42 × 104 1000 0.458 1.58 × 104 2000 0.916 3.16 × 104 3000 1.37 4.74 × 104 4000 1.83 6.32 × 104 5000 2.29 7.90 × 104 6000 2.75 9.48 × 104 7000 3.20 1.11 × 105 8000 3.66 1.26 × 105 9000 4.12 1.42 × 105 1.00 × 104 4.58 1.58 × 105 1.88 × 104 8.61 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 50.0 0.0475 1140 60.0 0.0570 1370 70.0 0.0664 1590 80.0 0.0759 1820 90.0 0.0854 2050 100 0.0949 2280 200 0.190 4550 300 0.285 6830 400 0.380 9100 500 0.475 1.14 × 104 600 0.570 1.37 × 104 700 0.664 1.59 × 104 800 0.759 1.82 × 104 900 0.854 2.05 × 104 1000 0.949 2.28 × 104 2000 1.90 4.55 × 104 3000 2.85 6.83 × 104 4000 3.80 9.10 × 104 5000 4.75 1.14 × 105 6000 5.70 1.37 × 105 7000 6.64 1.59 × 105 8000 7.59 1.82 × 105 9000 8.54 2.05 × 105 1.00 × 104 9.49 2.28 × 105 1.31 × 104 12.4 2.97 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 50.0 0.150 2020 60.0 0.180 2430 70.0 0.210 2830 80.0 0.240 3240 90.0 0.270 3640 100 0.300 4050 200 0.600 8090 300 0.900 1.21 × 104 400 1.20 1.62 × 104 500 1.50 2.02 × 104 600 1.80 2.43 × 104 700 2.10 2.83 × 104 800 2.40 3.24 × 104 900 2.70 3.64 × 104 1000 3.00 4.05 × 104 2000 6.00 8.09 × 104 3000 9.00 1.21 × 105 4000 12.0 1.62 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.366 3160 60.0 0.439 3790 70.0 0.513 4420 80.0 0.586 5060 90.0 0.659 5690 100 0.732 6320 200 1.46 1.26 × 104 300 2.20 1.90 × 104 400 2.93 2.53 × 104 500 3.66 3.16 × 104 600 4.39 3.79 × 104 700 5.13 4.42 × 104 800 5.86 5.06 × 104 900 6.59 5.69 × 104 1000 7.32 6.32 × 104 1640 12.0 1.04 × 105
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 0.759 4550 60.0 0.911 5460 70.0 1.06 6370 80.0 1.22 7280 90.0 1.37 8190 100 1.52 9100 200 3.04 1.82 × 104 300 4.56 2.73 × 104 400 6.08 3.64 × 104 500 7.59 4.55 × 104 600 9.11 5.46 × 104 700 10.6 6.37 × 104 790 12.0 7.19 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 1.41 6190 60.0 1.69 7430 70.0 1.97 8670 80.0 2.25 9910 90.0 2.53 1.11 × 104 100 2.81 1.24 × 104 200 5.63 2.48 × 104 300 8.44 3.72 × 104 400 11.3 4.96 × 104 426 12.0 5.28 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 2.40 8090 60.0 2.88 9710 70.0 3.36 1.13 × 104 80.0 3.84 1.29 × 104 90.0 4.32 1.46 × 104 100 4.80 1.62 × 104 200 9.60 3.24 × 104 250 12.0 4.05 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 3.84 1.02 × 104 60.0 4.61 1.23 × 104 70.0 5.38 1.43 × 104 80.0 6.15 1.64 × 104 90.0 6.92 1.84 × 104 100 7.69 2.05 × 104 156 12.0 3.20 × 104
 Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 50.0 5.86 1.26 × 104 60.0 7.03 1.52 × 104 70.0 8.20 1.77 × 104 80.0 9.38 2.02 × 104 90.0 10.5 2.28 × 104 100 11.7 2.53 × 104 102 12.0 2.59 × 104
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