S Section Steel I Beam: S3 × 5.7

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S3 × 5.7
S Section Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in two equal spans, we compute the displacement at the middle of each span and the maximum normal stress occuring at the center support of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 2.52 in4) for the S3 × 5.7 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: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 5.70 5.41 × 10-5 45.8 6.00 5.70 × 10-5 48.2 7.00 6.65 × 10-5 56.3 8.00 7.60 × 10-5 64.3 9.00 8.55 × 10-5 72.3 10.0 9.50 × 10-5 80.4 20.0 1.90 × 10-4 161 30.0 2.85 × 10-4 241 40.0 3.80 × 10-4 321 50.0 4.75 × 10-4 402 60.0 5.70 × 10-4 482 70.0 6.65 × 10-4 563 80.0 7.60 × 10-4 643 90.0 8.55 × 10-4 723 100 9.50 × 10-4 804 200 0.00190 1610 300 0.00285 2410 400 0.00380 3210 500 0.00475 4020 600 0.00570 4820 700 0.00665 5630 800 0.00760 6430 900 0.00855 7230 1000 0.00950 8040 2000 0.0190 1.61 × 104 3000 0.0285 2.41 × 104 4000 0.0380 3.21 × 104 5000 0.0475 4.02 × 104 6000 0.0570 4.82 × 104 7000 0.0665 5.63 × 104 8000 0.0760 6.43 × 104 9000 0.0855 7.23 × 104 1.00 × 104 0.0950 8.04 × 104 2.00 × 104 0.190 1.61 × 105 3.00 × 104 0.285 2.41 × 105 3.70 × 104 0.351 2.97 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 5.70 4.18 × 10-4 127 6.00 4.40 × 10-4 134 7.00 5.13 × 10-4 156 8.00 5.86 × 10-4 179 9.00 6.60 × 10-4 201 10.0 7.33 × 10-4 223 20.0 0.00147 446 30.0 0.00220 670 40.0 0.00293 893 50.0 0.00366 1120 60.0 0.00440 1340 70.0 0.00513 1560 80.0 0.00586 1790 90.0 0.00660 2010 100 0.00733 2230 200 0.0147 4460 300 0.0220 6700 400 0.0293 8930 500 0.0366 1.12 × 104 600 0.0440 1.34 × 104 700 0.0513 1.56 × 104 800 0.0586 1.79 × 104 900 0.0660 2.01 × 104 1000 0.0733 2.23 × 104 2000 0.147 4.46 × 104 3000 0.220 6.70 × 104 4000 0.293 8.93 × 104 5000 0.366 1.12 × 105 6000 0.440 1.34 × 105 7000 0.513 1.56 × 105 8000 0.586 1.79 × 105 9000 0.660 2.01 × 105 1.00 × 104 0.733 2.23 × 105 1.33 × 104 0.975 2.97 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 5.70 0.00668 509 6.00 0.00704 536 7.00 0.00821 625 8.00 0.00938 714 9.00 0.0106 804 10.0 0.0117 893 20.0 0.0235 1790 30.0 0.0352 2680 40.0 0.0469 3570 50.0 0.0586 4460 60.0 0.0704 5360 70.0 0.0821 6250 80.0 0.0938 7140 90.0 0.106 8040 100 0.117 8930 200 0.235 1.79 × 104 300 0.352 2.68 × 104 400 0.469 3.57 × 104 500 0.586 4.46 × 104 600 0.704 5.36 × 104 700 0.821 6.25 × 104 800 0.938 7.14 × 104 900 1.06 8.04 × 104 1000 1.17 8.93 × 104 2000 2.35 1.79 × 105 2560 3.00 2.28 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 5.70 0.0338 1150 6.00 0.0356 1210 7.00 0.0416 1410 8.00 0.0475 1610 9.00 0.0534 1810 10.0 0.0594 2010 20.0 0.119 4020 30.0 0.178 6030 40.0 0.237 8040 50.0 0.297 1.00 × 104 60.0 0.356 1.21 × 104 70.0 0.416 1.41 × 104 80.0 0.475 1.61 × 104 90.0 0.534 1.81 × 104 100 0.594 2.01 × 104 200 1.19 4.02 × 104 300 1.78 6.03 × 104 400 2.37 8.04 × 104 500 2.97 1.00 × 105 505 3.00 1.02 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 5.70 0.107 2040 6.00 0.113 2140 7.00 0.131 2500 8.00 0.150 2860 9.00 0.169 3210 10.0 0.188 3570 20.0 0.375 7140 30.0 0.563 1.07 × 104 40.0 0.750 1.43 × 104 50.0 0.938 1.79 × 104 60.0 1.13 2.14 × 104 70.0 1.31 2.50 × 104 80.0 1.50 2.86 × 104 90.0 1.69 3.21 × 104 100 1.88 3.57 × 104 160 3.00 5.71 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 5.70 0.261 3180 6.00 0.275 3350 7.00 0.321 3910 8.00 0.366 4460 9.00 0.412 5020 10.0 0.458 5580 20.0 0.916 1.12 × 104 30.0 1.37 1.67 × 104 40.0 1.83 2.23 × 104 50.0 2.29 2.79 × 104 60.0 2.75 3.35 × 104 65.5 3.00 3.65 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 5.70 0.541 4580 6.00 0.570 4820 7.00 0.665 5630 8.00 0.760 6430 9.00 0.855 7230 10.0 0.950 8040 20.0 1.90 1.61 × 104 30.0 2.85 2.41 × 104 31.6 3.00 2.54 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 5.70 1.71 8140 6.00 1.80 8570 7.00 2.10 1.00 × 104 8.00 2.40 1.14 × 104 9.00 2.70 1.29 × 104 9.99 3.00 1.43 × 104