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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S7 × 15.3
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 = 36.7 in4) for the S7 × 15.3 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: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 15.3 1.21 × 10-5 16.9 20.0 1.58 × 10-5 22.1 30.0 2.37 × 10-5 33.1 40.0 3.16 × 10-5 44.1 50.0 3.94 × 10-5 55.2 60.0 4.73 × 10-5 66.2 70.0 5.52 × 10-5 77.2 80.0 6.31 × 10-5 88.2 90.0 7.10 × 10-5 99.3 100 7.89 × 10-5 110 200 1.58 × 10-4 221 300 2.37 × 10-4 331 400 3.16 × 10-4 441 500 3.94 × 10-4 552 600 4.73 × 10-4 662 700 5.52 × 10-4 772 800 6.31 × 10-4 882 900 7.10 × 10-4 993 1000 7.89 × 10-4 1100 2000 0.00158 2210 3000 0.00237 3310 4000 0.00316 4410 5000 0.00394 5520 6000 0.00473 6620 7000 0.00552 7720 8000 0.00631 8820 9000 0.00710 9930 1.00 × 104 0.00789 1.10 × 104 2.00 × 104 0.0158 2.21 × 104 3.00 × 104 0.0237 3.31 × 104 4.00 × 104 0.0316 4.41 × 104 5.00 × 104 0.0394 5.52 × 104 6.00 × 104 0.0473 6.62 × 104 7.00 × 104 0.0552 7.72 × 104 8.00 × 104 0.0631 8.82 × 104 9.00 × 104 0.0710 9.93 × 104 1.00 × 105 0.0789 1.10 × 105 2.00 × 105 0.158 2.21 × 105 2.69 × 105 0.212 2.97 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 15.3 9.31 × 10-5 46.9 20.0 1.22 × 10-4 61.3 30.0 1.83 × 10-4 91.9 40.0 2.43 × 10-4 123 50.0 3.04 × 10-4 153 60.0 3.65 × 10-4 184 70.0 4.26 × 10-4 214 80.0 4.87 × 10-4 245 90.0 5.48 × 10-4 276 100 6.09 × 10-4 306 200 0.00122 613 300 0.00183 919 400 0.00243 1230 500 0.00304 1530 600 0.00365 1840 700 0.00426 2140 800 0.00487 2450 900 0.00548 2760 1000 0.00609 3060 2000 0.0122 6130 3000 0.0183 9190 4000 0.0243 1.23 × 104 5000 0.0304 1.53 × 104 6000 0.0365 1.84 × 104 7000 0.0426 2.14 × 104 8000 0.0487 2.45 × 104 9000 0.0548 2.76 × 104 1.00 × 104 0.0609 3.06 × 104 2.00 × 104 0.122 6.13 × 104 3.00 × 104 0.183 9.19 × 104 4.00 × 104 0.243 1.23 × 105 5.00 × 104 0.304 1.53 × 105 6.00 × 104 0.365 1.84 × 105 7.00 × 104 0.426 2.14 × 105 8.00 × 104 0.487 2.45 × 105 9.00 × 104 0.548 2.76 × 105 9.69 × 104 0.590 2.97 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 15.3 0.00149 188 20.0 0.00195 245 30.0 0.00292 368 40.0 0.00390 490 50.0 0.00487 613 60.0 0.00584 735 70.0 0.00682 858 80.0 0.00779 981 90.0 0.00877 1100 100 0.00974 1230 200 0.0195 2450 300 0.0292 3680 400 0.0390 4900 500 0.0487 6130 600 0.0584 7350 700 0.0682 8580 800 0.0779 9810 900 0.0877 1.10 × 104 1000 0.0974 1.23 × 104 2000 0.195 2.45 × 104 3000 0.292 3.68 × 104 4000 0.390 4.90 × 104 5000 0.487 6.13 × 104 6000 0.584 7.35 × 104 7000 0.682 8.58 × 104 8000 0.779 9.81 × 104 9000 0.877 1.10 × 105 1.00 × 104 0.974 1.23 × 105 2.00 × 104 1.95 2.45 × 105 2.42 × 104 2.36 2.97 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 15.3 0.00754 422 20.0 0.00986 552 30.0 0.0148 827 40.0 0.0197 1100 50.0 0.0247 1380 60.0 0.0296 1650 70.0 0.0345 1930 80.0 0.0394 2210 90.0 0.0444 2480 100 0.0493 2760 200 0.0986 5520 300 0.148 8270 400 0.197 1.10 × 104 500 0.247 1.38 × 104 600 0.296 1.65 × 104 700 0.345 1.93 × 104 800 0.394 2.21 × 104 900 0.444 2.48 × 104 1000 0.493 2.76 × 104 2000 0.986 5.52 × 104 3000 1.48 8.27 × 104 4000 1.97 1.10 × 105 5000 2.47 1.38 × 105 6000 2.96 1.65 × 105 7000 3.45 1.93 × 105 8000 3.94 2.21 × 105 9000 4.44 2.48 × 105 1.00 × 104 4.93 2.76 × 105 1.08 × 104 5.31 2.97 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 15.3 0.0238 750 20.0 0.0312 981 30.0 0.0467 1470 40.0 0.0623 1960 50.0 0.0779 2450 60.0 0.0935 2940 70.0 0.109 3430 80.0 0.125 3920 90.0 0.140 4410 100 0.156 4900 200 0.312 9810 300 0.467 1.47 × 104 400 0.623 1.96 × 104 500 0.779 2.45 × 104 600 0.935 2.94 × 104 700 1.09 3.43 × 104 800 1.25 3.92 × 104 900 1.40 4.41 × 104 1000 1.56 4.90 × 104 2000 3.12 9.81 × 104 3000 4.67 1.47 × 105 4000 6.23 1.96 × 105 4490 7.00 2.20 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 15.3 0.0582 1170 20.0 0.0761 1530 30.0 0.114 2300 40.0 0.152 3060 50.0 0.190 3830 60.0 0.228 4600 70.0 0.266 5360 80.0 0.304 6130 90.0 0.342 6890 100 0.380 7660 200 0.761 1.53 × 104 300 1.14 2.30 × 104 400 1.52 3.06 × 104 500 1.90 3.83 × 104 600 2.28 4.60 × 104 700 2.66 5.36 × 104 800 3.04 6.13 × 104 900 3.42 6.89 × 104 1000 3.80 7.66 × 104 1840 7.00 1.41 × 105
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 15.3 0.121 1690 20.0 0.158 2210 30.0 0.237 3310 40.0 0.316 4410 50.0 0.394 5520 60.0 0.473 6620 70.0 0.552 7720 80.0 0.631 8820 90.0 0.710 9930 100 0.789 1.10 × 104 200 1.58 2.21 × 104 300 2.37 3.31 × 104 400 3.16 4.41 × 104 500 3.94 5.52 × 104 600 4.73 6.62 × 104 700 5.52 7.72 × 104 800 6.31 8.82 × 104 887 7.00 9.79 × 104
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 15.3 0.381 3000 20.0 0.499 3920 30.0 0.748 5880 40.0 0.997 7840 50.0 1.25 9810 60.0 1.50 1.18 × 104 70.0 1.75 1.37 × 104 80.0 1.99 1.57 × 104 90.0 2.24 1.76 × 104 100 2.49 1.96 × 104 200 4.99 3.92 × 104 281 7.00 5.51 × 104
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 15.3 0.931 4690 20.0 1.22 6130 30.0 1.83 9190 40.0 2.43 1.23 × 104 50.0 3.04 1.53 × 104 60.0 3.65 1.84 × 104 70.0 4.26 2.14 × 104 80.0 4.87 2.45 × 104 90.0 5.48 2.76 × 104 100 6.09 3.06 × 104 115 7.00 3.52 × 104
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 15.3 1.93 6750 20.0 2.52 8820 30.0 3.79 1.32 × 104 40.0 5.05 1.76 × 104 50.0 6.31 2.21 × 104 55.5 7.00 2.45 × 104
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 15.3 3.58 9190 20.0 4.68 1.20 × 104 29.9 7.00 1.80 × 104
 Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 15.3 6.10 1.20 × 104 17.5 7.00 1.38 × 104
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