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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S12 × 35
S Section Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 229 in4) for the S12 × 35 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 × 35 (S12 inch tall × 35 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 35.0 4.78 × 10-6 9.90 40.0 5.46 × 10-6 11.3 50.0 6.82 × 10-6 14.1 60.0 8.19 × 10-6 17.0 70.0 9.55 × 10-6 19.8 80.0 1.09 × 10-5 22.6 90.0 1.23 × 10-5 25.5 100 1.36 × 10-5 28.3 200 2.73 × 10-5 56.6 300 4.09 × 10-5 84.9 400 5.46 × 10-5 113 500 6.82 × 10-5 141 600 8.19 × 10-5 170 700 9.55 × 10-5 198 800 1.09 × 10-4 226 900 1.23 × 10-4 255 1000 1.36 × 10-4 283 2000 2.73 × 10-4 566 3000 4.09 × 10-4 849 4000 5.46 × 10-4 1130 5000 6.82 × 10-4 1410 6000 8.19 × 10-4 1700 7000 9.55 × 10-4 1980 8000 0.00109 2260 9000 0.00123 2550 1.00 × 104 0.00136 2830 2.00 × 104 0.00273 5660 3.00 × 104 0.00409 8490 4.00 × 104 0.00546 1.13 × 104 5.00 × 104 0.00682 1.41 × 104 6.00 × 104 0.00819 1.70 × 104 7.00 × 104 0.00955 1.98 × 104 8.00 × 104 0.0109 2.26 × 104 9.00 × 104 0.0123 2.55 × 104 1.00 × 105 0.0136 2.83 × 104 2.00 × 105 0.0273 5.66 × 104 3.00 × 105 0.0409 8.49 × 104 4.00 × 105 0.0546 1.13 × 105 5.00 × 105 0.0682 1.41 × 105 6.00 × 105 0.0819 1.70 × 105 7.00 × 105 0.0955 1.98 × 105 8.00 × 105 0.109 2.26 × 105 9.00 × 105 0.123 2.55 × 105 1.00 × 106 0.136 2.83 × 105 1.05 × 106 0.143 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 35.0 3.69 × 10-5 27.5 40.0 4.21 × 10-5 31.4 50.0 5.26 × 10-5 39.3 60.0 6.32 × 10-5 47.2 70.0 7.37 × 10-5 55.0 80.0 8.42 × 10-5 62.9 90.0 9.48 × 10-5 70.7 100 1.05 × 10-4 78.6 200 2.11 × 10-4 157 300 3.16 × 10-4 236 400 4.21 × 10-4 314 500 5.26 × 10-4 393 600 6.32 × 10-4 472 700 7.37 × 10-4 550 800 8.42 × 10-4 629 900 9.48 × 10-4 707 1000 0.00105 786 2000 0.00211 1570 3000 0.00316 2360 4000 0.00421 3140 5000 0.00526 3930 6000 0.00632 4720 7000 0.00737 5500 8000 0.00842 6290 9000 0.00948 7070 1.00 × 104 0.0105 7860 2.00 × 104 0.0211 1.57 × 104 3.00 × 104 0.0316 2.36 × 104 4.00 × 104 0.0421 3.14 × 104 5.00 × 104 0.0526 3.93 × 104 6.00 × 104 0.0632 4.72 × 104 7.00 × 104 0.0737 5.50 × 104 8.00 × 104 0.0842 6.29 × 104 9.00 × 104 0.0948 7.07 × 104 1.00 × 105 0.105 7.86 × 104 2.00 × 105 0.211 1.57 × 105 3.00 × 105 0.316 2.36 × 105 3.78 × 105 0.398 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 35.0 5.90 × 10-4 110 40.0 6.74 × 10-4 126 50.0 8.42 × 10-4 157 60.0 0.00101 189 70.0 0.00118 220 80.0 0.00135 252 90.0 0.00152 283 100 0.00168 314 200 0.00337 629 300 0.00505 943 400 0.00674 1260 500 0.00842 1570 600 0.0101 1890 700 0.0118 2200 800 0.0135 2520 900 0.0152 2830 1000 0.0168 3140 2000 0.0337 6290 3000 0.0505 9430 4000 0.0674 1.26 × 104 5000 0.0842 1.57 × 104 6000 0.101 1.89 × 104 7000 0.118 2.20 × 104 8000 0.135 2.52 × 104 9000 0.152 2.83 × 104 1.00 × 104 0.168 3.14 × 104 2.00 × 104 0.337 6.29 × 104 3.00 × 104 0.505 9.43 × 104 4.00 × 104 0.674 1.26 × 105 5.00 × 104 0.842 1.57 × 105 6.00 × 104 1.01 1.89 × 105 7.00 × 104 1.18 2.20 × 105 8.00 × 104 1.35 2.52 × 105 9.00 × 104 1.52 2.83 × 105 9.45 × 104 1.59 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 35.0 0.00299 248 40.0 0.00341 283 50.0 0.00426 354 60.0 0.00512 424 70.0 0.00597 495 80.0 0.00682 566 90.0 0.00768 637 100 0.00853 707 200 0.0171 1410 300 0.0256 2120 400 0.0341 2830 500 0.0426 3540 600 0.0512 4240 700 0.0597 4950 800 0.0682 5660 900 0.0768 6370 1000 0.0853 7070 2000 0.171 1.41 × 104 3000 0.256 2.12 × 104 4000 0.341 2.83 × 104 5000 0.426 3.54 × 104 6000 0.512 4.24 × 104 7000 0.597 4.95 × 104 8000 0.682 5.66 × 104 9000 0.768 6.37 × 104 1.00 × 104 0.853 7.07 × 104 2.00 × 104 1.71 1.41 × 105 3.00 × 104 2.56 2.12 × 105 4.00 × 104 3.41 2.83 × 105 4.20 × 104 3.58 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 35.0 0.00943 440 40.0 0.0108 503 50.0 0.0135 629 60.0 0.0162 755 70.0 0.0189 880 80.0 0.0216 1010 90.0 0.0243 1130 100 0.0270 1260 200 0.0539 2520 300 0.0809 3770 400 0.108 5030 500 0.135 6290 600 0.162 7550 700 0.189 8800 800 0.216 1.01 × 104 900 0.243 1.13 × 104 1000 0.270 1.26 × 104 2000 0.539 2.52 × 104 3000 0.809 3.77 × 104 4000 1.08 5.03 × 104 5000 1.35 6.29 × 104 6000 1.62 7.55 × 104 7000 1.89 8.80 × 104 8000 2.16 1.01 × 105 9000 2.43 1.13 × 105 1.00 × 104 2.70 1.26 × 105 2.00 × 104 5.39 2.52 × 105 2.36 × 104 6.37 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 35.0 0.0230 688 40.0 0.0263 786 50.0 0.0329 983 60.0 0.0395 1180 70.0 0.0461 1380 80.0 0.0526 1570 90.0 0.0592 1770 100 0.0658 1970 200 0.132 3930 300 0.197 5900 400 0.263 7860 500 0.329 9830 600 0.395 1.18 × 104 700 0.461 1.38 × 104 800 0.526 1.57 × 104 900 0.592 1.77 × 104 1000 0.658 1.97 × 104 2000 1.32 3.93 × 104 3000 1.97 5.90 × 104 4000 2.63 7.86 × 104 5000 3.29 9.83 × 104 6000 3.95 1.18 × 105 7000 4.61 1.38 × 105 8000 5.26 1.57 × 105 9000 5.92 1.77 × 105 1.00 × 104 6.58 1.97 × 105 1.51 × 104 9.95 2.97 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 35.0 0.0478 990 40.0 0.0546 1130 50.0 0.0682 1410 60.0 0.0819 1700 70.0 0.0955 1980 80.0 0.109 2260 90.0 0.123 2550 100 0.136 2830 200 0.273 5660 300 0.409 8490 400 0.546 1.13 × 104 500 0.682 1.41 × 104 600 0.819 1.70 × 104 700 0.955 1.98 × 104 800 1.09 2.26 × 104 900 1.23 2.55 × 104 1000 1.36 2.83 × 104 2000 2.73 5.66 × 104 3000 4.09 8.49 × 104 4000 5.46 1.13 × 105 5000 6.82 1.41 × 105 6000 8.19 1.70 × 105 7000 9.55 1.98 × 105 8000 10.9 2.26 × 105 8790 12.0 2.49 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 35.0 0.151 1760 40.0 0.173 2010 50.0 0.216 2520 60.0 0.259 3020 70.0 0.302 3520 80.0 0.345 4020 90.0 0.388 4530 100 0.431 5030 200 0.863 1.01 × 104 300 1.29 1.51 × 104 400 1.73 2.01 × 104 500 2.16 2.52 × 104 600 2.59 3.02 × 104 700 3.02 3.52 × 104 800 3.45 4.02 × 104 900 3.88 4.53 × 104 1000 4.31 5.03 × 104 2000 8.63 1.01 × 105 2780 12.0 1.40 × 105
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 35.0 0.369 2750 40.0 0.421 3140 50.0 0.526 3930 60.0 0.632 4720 70.0 0.737 5500 80.0 0.842 6290 90.0 0.948 7070 100 1.05 7860 200 2.11 1.57 × 104 300 3.16 2.36 × 104 400 4.21 3.14 × 104 500 5.26 3.93 × 104 600 6.32 4.72 × 104 700 7.37 5.50 × 104 800 8.42 6.29 × 104 900 9.48 7.07 × 104 1000 10.5 7.86 × 104 1140 12.0 8.96 × 104
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 35.0 0.764 3960 40.0 0.873 4530 50.0 1.09 5660 60.0 1.31 6790 70.0 1.53 7920 80.0 1.75 9060 90.0 1.97 1.02 × 104 100 2.18 1.13 × 104 200 4.37 2.26 × 104 300 6.55 3.40 × 104 400 8.73 4.53 × 104 500 10.9 5.66 × 104 550 12.0 6.22 × 104
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 35.0 1.42 5390 40.0 1.62 6160 50.0 2.02 7700 60.0 2.43 9240 70.0 2.83 1.08 × 104 80.0 3.24 1.23 × 104 90.0 3.64 1.39 × 104 100 4.04 1.54 × 104 200 8.09 3.08 × 104 297 12.0 4.57 × 104
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 35.0 2.42 7040 40.0 2.76 8050 50.0 3.45 1.01 × 104 60.0 4.14 1.21 × 104 70.0 4.83 1.41 × 104 80.0 5.52 1.61 × 104 90.0 6.21 1.81 × 104 100 6.90 2.01 × 104 174 12.0 3.50 × 104
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 35.0 3.87 8910 40.0 4.42 1.02 × 104 50.0 5.53 1.27 × 104 60.0 6.63 1.53 × 104 70.0 7.74 1.78 × 104 80.0 8.84 2.04 × 104 90.0 9.95 2.29 × 104 100 11.1 2.55 × 104 109 12.0 2.76 × 104
 Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 35.0 5.90 1.10 × 104 40.0 6.74 1.26 × 104 50.0 8.42 1.57 × 104 60.0 10.1 1.89 × 104 70.0 11.8 2.20 × 104 71.2 12.0 2.24 × 104