S Section Steel I Beam: S3 × 5.7

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 6.55 × 10-5 39.2 6.00 6.89 × 10-5 41.3 7.00 8.04 × 10-5 48.2 8.00 9.19 × 10-5 55.1 9.00 1.03 × 10-4 62.0 10.0 1.15 × 10-4 68.9 20.0 2.30 × 10-4 138 30.0 3.45 × 10-4 207 40.0 4.60 × 10-4 275 50.0 5.74 × 10-4 344 60.0 6.89 × 10-4 413 70.0 8.04 × 10-4 482 80.0 9.19 × 10-4 551 90.0 0.00103 620 100 0.00115 689 200 0.00230 1380 300 0.00345 2070 400 0.00460 2750 500 0.00574 3440 600 0.00689 4130 700 0.00804 4820 800 0.00919 5510 900 0.0103 6200 1000 0.0115 6880 2000 0.0230 1.38 × 104 3000 0.0345 2.07 × 104 4000 0.0460 2.75 × 104 5000 0.0574 3.44 × 104 6000 0.0689 4.13 × 104 7000 0.0804 4.82 × 104 8000 0.0919 5.51 × 104 9000 0.103 6.20 × 104 1.00 × 104 0.115 6.89 × 104 2.00 × 104 0.230 1.38 × 105 3.00 × 104 0.345 2.07 × 105 4.00 × 104 0.460 2.75 × 105 4.31 × 104 0.496 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 5.05 × 10-4 109 6.00 5.32 × 10-4 115 7.00 6.21 × 10-4 134 8.00 7.09 × 10-4 153 9.00 7.98 × 10-4 172 10.0 8.86 × 10-4 191 20.0 0.00177 383 30.0 0.00266 574 40.0 0.00355 765 50.0 0.00443 956 60.0 0.00532 1150 70.0 0.00621 1340 80.0 0.00709 1530 90.0 0.00798 1720 100 0.00886 1910 200 0.0177 3830 300 0.0266 5740 400 0.0355 7650 500 0.0443 9560 600 0.0532 1.15 × 104 700 0.0621 1.34 × 104 800 0.0709 1.53 × 104 900 0.0798 1.72 × 104 1000 0.0886 1.91 × 104 2000 0.177 3.82 × 104 3000 0.266 5.74 × 104 4000 0.355 7.65 × 104 5000 0.443 9.56 × 104 6000 0.532 1.15 × 105 7000 0.621 1.34 × 105 8000 0.709 1.53 × 105 9000 0.798 1.72 × 105 1.00 × 104 0.886 1.91 × 105 1.55 × 104 1.38 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 0.00808 436 6.00 0.00851 459 7.00 0.00993 536 8.00 0.0113 612 9.00 0.0128 689 10.0 0.0142 765 20.0 0.0284 1530 30.0 0.0426 2300 40.0 0.0567 3060 50.0 0.0709 3830 60.0 0.0851 4590 70.0 0.0993 5350 80.0 0.113 6120 90.0 0.128 6890 100 0.142 7650 200 0.284 1.53 × 104 300 0.426 2.30 × 104 400 0.567 3.06 × 104 500 0.709 3.82 × 104 600 0.851 4.59 × 104 700 0.993 5.36 × 104 800 1.13 6.12 × 104 900 1.28 6.89 × 104 1000 1.42 7.65 × 104 2000 2.84 1.53 × 105 2120 3.00 1.62 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 5.70 0.0409 981 6.00 0.0431 1030 7.00 0.0503 1200 8.00 0.0574 1380 9.00 0.0646 1550 10.0 0.0718 1720 20.0 0.144 3440 30.0 0.215 5160 40.0 0.287 6890 50.0 0.359 8610 60.0 0.431 1.03 × 104 70.0 0.503 1.20 × 104 80.0 0.574 1.38 × 104 90.0 0.646 1.55 × 104 100 0.718 1.72 × 104 200 1.44 3.44 × 104 300 2.15 5.16 × 104 400 2.87 6.89 × 104 418 3.00 7.19 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 5.70 0.129 1740 6.00 0.136 1840 7.00 0.159 2140 8.00 0.182 2450 9.00 0.204 2750 10.0 0.227 3060 20.0 0.454 6120 30.0 0.681 9180 40.0 0.908 1.22 × 104 50.0 1.13 1.53 × 104 60.0 1.36 1.84 × 104 70.0 1.59 2.14 × 104 80.0 1.82 2.45 × 104 90.0 2.04 2.75 × 104 100 2.27 3.06 × 104 132 3.00 4.05 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 5.70 0.316 2730 6.00 0.332 2870 7.00 0.388 3350 8.00 0.443 3820 9.00 0.499 4300 10.0 0.554 4780 20.0 1.11 9560 30.0 1.66 1.43 × 104 40.0 2.22 1.91 × 104 50.0 2.77 2.39 × 104 54.1 3.00 2.59 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 5.70 0.655 3920 6.00 0.689 4130 7.00 0.804 4820 8.00 0.919 5510 9.00 1.03 6200 10.0 1.15 6890 20.0 2.30 1.38 × 104 26.1 3.00 1.80 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 5.70 2.07 6980 6.00 2.18 7340 7.00 2.54 8570 8.00 2.90 9790 8.26 3.00 1.01 × 104