S Section Steel I Beam: S3 × 5.7

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 7.07 × 10-5 36.6 6.00 7.44 × 10-5 38.6 7.00 8.68 × 10-5 45.0 8.00 9.92 × 10-5 51.4 9.00 1.12 × 10-4 57.9 10.0 1.24 × 10-4 64.3 20.0 2.48 × 10-4 129 30.0 3.72 × 10-4 193 40.0 4.96 × 10-4 257 50.0 6.20 × 10-4 321 60.0 7.44 × 10-4 386 70.0 8.68 × 10-4 450 80.0 9.92 × 10-4 514 90.0 0.00112 579 100 0.00124 643 200 0.00248 1290 300 0.00372 1930 400 0.00496 2570 500 0.00620 3210 600 0.00744 3860 700 0.00868 4500 800 0.00992 5140 900 0.0112 5790 1000 0.0124 6430 2000 0.0248 1.29 × 104 3000 0.0372 1.93 × 104 4000 0.0496 2.57 × 104 5000 0.0620 3.21 × 104 6000 0.0744 3.86 × 104 7000 0.0868 4.50 × 104 8000 0.0992 5.14 × 104 9000 0.112 5.79 × 104 1.00 × 104 0.124 6.43 × 104 2.00 × 104 0.248 1.29 × 105 3.00 × 104 0.372 1.93 × 105 4.00 × 104 0.496 2.57 × 105 4.62 × 104 0.573 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 5.45 × 10-4 102 6.00 5.74 × 10-4 107 7.00 6.70 × 10-4 125 8.00 7.65 × 10-4 143 9.00 8.61 × 10-4 161 10.0 9.57 × 10-4 179 20.0 0.00191 357 30.0 0.00287 536 40.0 0.00383 714 50.0 0.00478 893 60.0 0.00574 1070 70.0 0.00670 1250 80.0 0.00765 1430 90.0 0.00861 1610 100 0.00957 1790 200 0.0191 3570 300 0.0287 5360 400 0.0383 7140 500 0.0478 8930 600 0.0574 1.07 × 104 700 0.0670 1.25 × 104 800 0.0765 1.43 × 104 900 0.0861 1.61 × 104 1000 0.0957 1.79 × 104 2000 0.191 3.57 × 104 3000 0.287 5.36 × 104 4000 0.383 7.14 × 104 5000 0.478 8.93 × 104 6000 0.574 1.07 × 105 7000 0.670 1.25 × 105 8000 0.765 1.43 × 105 9000 0.861 1.61 × 105 1.00 × 104 0.957 1.79 × 105 1.66 × 104 1.59 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 0.00873 407 6.00 0.00919 429 7.00 0.0107 500 8.00 0.0122 571 9.00 0.0138 643 10.0 0.0153 714 20.0 0.0306 1430 30.0 0.0459 2140 40.0 0.0612 2860 50.0 0.0765 3570 60.0 0.0919 4290 70.0 0.107 5000 80.0 0.122 5710 90.0 0.138 6430 100 0.153 7140 200 0.306 1.43 × 104 300 0.459 2.14 × 104 400 0.612 2.86 × 104 500 0.765 3.57 × 104 600 0.919 4.29 × 104 700 1.07 5.00 × 104 800 1.22 5.71 × 104 900 1.38 6.43 × 104 1000 1.53 7.14 × 104 1960 3.00 1.40 × 105
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 5.70 0.0442 916 6.00 0.0465 964 7.00 0.0543 1130 8.00 0.0620 1290 9.00 0.0698 1450 10.0 0.0775 1610 20.0 0.155 3210 30.0 0.233 4820 40.0 0.310 6430 50.0 0.388 8040 60.0 0.465 9640 70.0 0.543 1.13 × 104 80.0 0.620 1.29 × 104 90.0 0.698 1.45 × 104 100 0.775 1.61 × 104 200 1.55 3.21 × 104 300 2.33 4.82 × 104 387 3.00 6.22 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 5.70 0.140 1630 6.00 0.147 1710 7.00 0.171 2000 8.00 0.196 2290 9.00 0.220 2570 10.0 0.245 2860 20.0 0.490 5710 30.0 0.735 8570 40.0 0.980 1.14 × 104 50.0 1.22 1.43 × 104 60.0 1.47 1.71 × 104 70.0 1.71 2.00 × 104 80.0 1.96 2.29 × 104 90.0 2.20 2.57 × 104 100 2.45 2.86 × 104 122 3.00 3.50 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 5.70 0.341 2540 6.00 0.359 2680 7.00 0.419 3130 8.00 0.478 3570 9.00 0.538 4020 10.0 0.598 4460 20.0 1.20 8930 30.0 1.79 1.34 × 104 40.0 2.39 1.79 × 104 50.0 2.99 2.23 × 104 50.2 3.00 2.24 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 5.70 0.707 3660 6.00 0.744 3860 7.00 0.868 4500 8.00 0.992 5140 9.00 1.12 5790 10.0 1.24 6430 20.0 2.48 1.29 × 104 24.2 3.00 1.56 × 104
 Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 5.70 2.23 6510 6.00 2.35 6860 7.00 2.74 8000 7.65 3.00 8750
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