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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S7 × 20
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 = 42.4 in4) for the S7 × 20 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 × 20 (S7 inch tall × 20 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 20.0 1.47 × 10-5 17.8 30.0 2.21 × 10-5 26.7 40.0 2.95 × 10-5 35.7 50.0 3.69 × 10-5 44.6 60.0 4.42 × 10-5 53.5 70.0 5.16 × 10-5 62.4 80.0 5.90 × 10-5 71.3 90.0 6.63 × 10-5 80.2 100 7.37 × 10-5 89.2 200 1.47 × 10-4 178 300 2.21 × 10-4 267 400 2.95 × 10-4 357 500 3.69 × 10-4 446 600 4.42 × 10-4 535 700 5.16 × 10-4 624 800 5.90 × 10-4 713 900 6.63 × 10-4 802 1000 7.37 × 10-4 892 2000 0.00147 1780 3000 0.00221 2670 4000 0.00295 3570 5000 0.00369 4460 6000 0.00442 5350 7000 0.00516 6240 8000 0.00590 7130 9000 0.00663 8020 1.00 × 104 0.00737 8920 2.00 × 104 0.0147 1.78 × 104 3.00 × 104 0.0221 2.67 × 104 4.00 × 104 0.0295 3.57 × 104 5.00 × 104 0.0369 4.46 × 104 6.00 × 104 0.0442 5.35 × 104 7.00 × 104 0.0516 6.24 × 104 8.00 × 104 0.0590 7.13 × 104 9.00 × 104 0.0663 8.02 × 104 1.00 × 105 0.0737 8.92 × 104 2.00 × 105 0.147 1.78 × 105 3.00 × 105 0.221 2.67 × 105 3.33 × 105 0.246 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 20.0 1.14 × 10-4 49.5 30.0 1.71 × 10-4 74.3 40.0 2.27 × 10-4 99.1 50.0 2.84 × 10-4 124 60.0 3.41 × 10-4 149 70.0 3.98 × 10-4 173 80.0 4.55 × 10-4 198 90.0 5.12 × 10-4 223 100 5.69 × 10-4 248 200 0.00114 495 300 0.00171 743 400 0.00227 991 500 0.00284 1240 600 0.00341 1490 700 0.00398 1730 800 0.00455 1980 900 0.00512 2230 1000 0.00569 2480 2000 0.0114 4950 3000 0.0171 7430 4000 0.0227 9910 5000 0.0284 1.24 × 104 6000 0.0341 1.49 × 104 7000 0.0398 1.73 × 104 8000 0.0455 1.98 × 104 9000 0.0512 2.23 × 104 1.00 × 104 0.0569 2.48 × 104 2.00 × 104 0.114 4.95 × 104 3.00 × 104 0.171 7.43 × 104 4.00 × 104 0.227 9.91 × 104 5.00 × 104 0.284 1.24 × 105 6.00 × 104 0.341 1.49 × 105 7.00 × 104 0.398 1.73 × 105 8.00 × 104 0.455 1.98 × 105 9.00 × 104 0.512 2.23 × 105 1.00 × 105 0.569 2.48 × 105 1.20 × 105 0.682 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 20.0 0.00182 198 30.0 0.00273 297 40.0 0.00364 396 50.0 0.00455 495 60.0 0.00546 594 70.0 0.00637 693 80.0 0.00728 792 90.0 0.00819 892 100 0.00910 991 200 0.0182 1980 300 0.0273 2970 400 0.0364 3960 500 0.0455 4950 600 0.0546 5940 700 0.0637 6930 800 0.0728 7920 900 0.0819 8920 1000 0.0910 9910 2000 0.182 1.98 × 104 3000 0.273 2.97 × 104 4000 0.364 3.96 × 104 5000 0.455 4.95 × 104 6000 0.546 5.94 × 104 7000 0.637 6.93 × 104 8000 0.728 7.92 × 104 9000 0.819 8.92 × 104 1.00 × 104 0.910 9.91 × 104 2.00 × 104 1.82 1.98 × 105 3.00 × 104 2.73 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 20.0 0.00921 446 30.0 0.0138 669 40.0 0.0184 892 50.0 0.0230 1110 60.0 0.0276 1340 70.0 0.0322 1560 80.0 0.0369 1780 90.0 0.0415 2010 100 0.0461 2230 200 0.0921 4460 300 0.138 6690 400 0.184 8920 500 0.230 1.11 × 104 600 0.276 1.34 × 104 700 0.322 1.56 × 104 800 0.369 1.78 × 104 900 0.415 2.01 × 104 1000 0.461 2.23 × 104 2000 0.921 4.46 × 104 3000 1.38 6.69 × 104 4000 1.84 8.92 × 104 5000 2.30 1.11 × 105 6000 2.76 1.34 × 105 7000 3.22 1.56 × 105 8000 3.69 1.78 × 105 9000 4.15 2.01 × 105 1.00 × 104 4.61 2.23 × 105 1.33 × 104 6.14 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 20.0 0.0291 792 30.0 0.0437 1190 40.0 0.0582 1580 50.0 0.0728 1980 60.0 0.0873 2380 70.0 0.102 2770 80.0 0.116 3170 90.0 0.131 3570 100 0.146 3960 200 0.291 7920 300 0.437 1.19 × 104 400 0.582 1.58 × 104 500 0.728 1.98 × 104 600 0.873 2.38 × 104 700 1.02 2.77 × 104 800 1.16 3.17 × 104 900 1.31 3.57 × 104 1000 1.46 3.96 × 104 2000 2.91 7.92 × 104 3000 4.37 1.19 × 105 4000 5.82 1.58 × 105 4810 7.00 1.91 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 20.0 0.0711 1240 30.0 0.107 1860 40.0 0.142 2480 50.0 0.178 3100 60.0 0.213 3710 70.0 0.249 4330 80.0 0.284 4950 90.0 0.320 5570 100 0.355 6190 200 0.711 1.24 × 104 300 1.07 1.86 × 104 400 1.42 2.48 × 104 500 1.78 3.10 × 104 600 2.13 3.71 × 104 700 2.49 4.33 × 104 800 2.84 4.95 × 104 900 3.20 5.57 × 104 1000 3.55 6.19 × 104 1970 7.00 1.22 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 20.0 0.147 1780 30.0 0.221 2670 40.0 0.295 3570 50.0 0.369 4460 60.0 0.442 5350 70.0 0.516 6240 80.0 0.590 7130 90.0 0.663 8020 100 0.737 8920 200 1.47 1.78 × 104 300 2.21 2.67 × 104 400 2.95 3.57 × 104 500 3.69 4.46 × 104 600 4.42 5.35 × 104 700 5.16 6.24 × 104 800 5.90 7.13 × 104 900 6.63 8.02 × 104 950 7.00 8.47 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 20.0 0.466 3170 30.0 0.699 4750 40.0 0.932 6340 50.0 1.16 7920 60.0 1.40 9510 70.0 1.63 1.11 × 104 80.0 1.86 1.27 × 104 90.0 2.10 1.43 × 104 100 2.33 1.58 × 104 200 4.66 3.17 × 104 300 6.99 4.75 × 104 301 7.00 4.76 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 20.0 1.14 4950 30.0 1.71 7430 40.0 2.27 9910 50.0 2.84 1.24 × 104 60.0 3.41 1.49 × 104 70.0 3.98 1.73 × 104 80.0 4.55 1.98 × 104 90.0 5.12 2.23 × 104 100 5.69 2.48 × 104 123 7.00 3.05 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 20.0 2.36 7130 30.0 3.54 1.07 × 104 40.0 4.72 1.43 × 104 50.0 5.90 1.78 × 104 59.4 7.00 2.12 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 20.0 4.37 9710 30.0 6.55 1.46 × 104 32.0 7.00 1.56 × 104
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