S Section Steel I Beam: S3 × 7.5

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S3 × 7.5
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 = 2.93 in4) for the S3 × 7.5 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 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 7.50 7.41 × 10-5 44.4 8.00 7.90 × 10-5 47.4 9.00 8.89 × 10-5 53.3 10.0 9.88 × 10-5 59.2 20.0 1.98 × 10-4 118 30.0 2.96 × 10-4 178 40.0 3.95 × 10-4 237 50.0 4.94 × 10-4 296 60.0 5.93 × 10-4 355 70.0 6.92 × 10-4 415 80.0 7.90 × 10-4 474 90.0 8.89 × 10-4 533 100 9.88 × 10-4 592 200 0.00198 1180 300 0.00296 1780 400 0.00395 2370 500 0.00494 2960 600 0.00593 3550 700 0.00692 4150 800 0.00790 4740 900 0.00889 5330 1000 0.00988 5920 2000 0.0198 1.18 × 104 3000 0.0296 1.78 × 104 4000 0.0395 2.37 × 104 5000 0.0494 2.96 × 104 6000 0.0593 3.55 × 104 7000 0.0692 4.15 × 104 8000 0.0790 4.74 × 104 9000 0.0889 5.33 × 104 1.00 × 104 0.0988 5.92 × 104 2.00 × 104 0.198 1.18 × 105 3.00 × 104 0.296 1.78 × 105 4.00 × 104 0.395 2.37 × 105 5.00 × 104 0.494 2.96 × 105 5.02 × 104 0.496 2.97 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 7.50 5.72 × 10-4 123 8.00 6.10 × 10-4 132 9.00 6.86 × 10-4 148 10.0 7.62 × 10-4 164 20.0 0.00152 329 30.0 0.00229 493 40.0 0.00305 658 50.0 0.00381 822 60.0 0.00457 987 70.0 0.00534 1150 80.0 0.00610 1320 90.0 0.00686 1480 100 0.00762 1640 200 0.0152 3290 300 0.0229 4930 400 0.0305 6580 500 0.0381 8220 600 0.0457 9870 700 0.0534 1.15 × 104 800 0.0610 1.32 × 104 900 0.0686 1.48 × 104 1000 0.0762 1.64 × 104 2000 0.152 3.29 × 104 3000 0.229 4.93 × 104 4000 0.305 6.58 × 104 5000 0.381 8.22 × 104 6000 0.457 9.87 × 104 7000 0.534 1.15 × 105 8000 0.610 1.32 × 105 9000 0.686 1.48 × 105 1.00 × 104 0.762 1.64 × 105 1.81 × 104 1.38 2.97 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 7.50 0.00915 493 8.00 0.00976 526 9.00 0.0110 592 10.0 0.0122 658 20.0 0.0244 1320 30.0 0.0366 1970 40.0 0.0488 2630 50.0 0.0610 3290 60.0 0.0732 3950 70.0 0.0854 4610 80.0 0.0976 5260 90.0 0.110 5920 100 0.122 6580 200 0.244 1.32 × 104 300 0.366 1.97 × 104 400 0.488 2.63 × 104 500 0.610 3.29 × 104 600 0.732 3.95 × 104 700 0.854 4.61 × 104 800 0.976 5.26 × 104 900 1.10 5.92 × 104 1000 1.22 6.58 × 104 2000 2.44 1.32 × 105 2460 3.00 1.62 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.50 0.0463 1110 8.00 0.0494 1180 9.00 0.0556 1330 10.0 0.0618 1480 20.0 0.124 2960 30.0 0.185 4440 40.0 0.247 5920 50.0 0.309 7400 60.0 0.371 8880 70.0 0.432 1.04 × 104 80.0 0.494 1.18 × 104 90.0 0.556 1.33 × 104 100 0.618 1.48 × 104 200 1.24 2.96 × 104 300 1.85 4.44 × 104 400 2.47 5.92 × 104 486 3.00 7.19 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.50 0.146 1970 8.00 0.156 2110 9.00 0.176 2370 10.0 0.195 2630 20.0 0.390 5260 30.0 0.586 7900 40.0 0.781 1.05 × 104 50.0 0.976 1.32 × 104 60.0 1.17 1.58 × 104 70.0 1.37 1.84 × 104 80.0 1.56 2.11 × 104 90.0 1.76 2.37 × 104 100 1.95 2.63 × 104 154 3.00 4.05 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.50 0.357 3080 8.00 0.381 3290 9.00 0.429 3700 10.0 0.477 4110 20.0 0.953 8220 30.0 1.43 1.23 × 104 40.0 1.91 1.64 × 104 50.0 2.38 2.06 × 104 60.0 2.86 2.47 × 104 63.0 3.00 2.59 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.50 0.741 4440 8.00 0.790 4740 9.00 0.889 5330 10.0 0.988 5920 20.0 1.98 1.18 × 104 30.0 2.96 1.78 × 104 30.4 3.00 1.80 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.50 2.34 7900 8.00 2.50 8420 9.00 2.81 9470 9.61 3.00 1.01 × 104