S Section Steel I Beam: S3 × 7.5

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 2.93 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 6.13 × 10-5 51.8 8.00 6.54 × 10-5 55.3 9.00 7.35 × 10-5 62.2 10.0 8.17 × 10-5 69.1 20.0 1.63 × 10-4 138 30.0 2.45 × 10-4 207 40.0 3.27 × 10-4 276 50.0 4.08 × 10-4 346 60.0 4.90 × 10-4 415 70.0 5.72 × 10-4 484 80.0 6.54 × 10-4 553 90.0 7.35 × 10-4 622 100 8.17 × 10-4 691 200 0.00163 1380 300 0.00245 2070 400 0.00327 2760 500 0.00408 3460 600 0.00490 4150 700 0.00572 4840 800 0.00654 5530 900 0.00735 6220 1000 0.00817 6910 2000 0.0163 1.38 × 104 3000 0.0245 2.07 × 104 4000 0.0327 2.76 × 104 5000 0.0408 3.46 × 104 6000 0.0490 4.15 × 104 7000 0.0572 4.84 × 104 8000 0.0654 5.53 × 104 9000 0.0735 6.22 × 104 1.00 × 104 0.0817 6.91 × 104 2.00 × 104 0.163 1.38 × 105 3.00 × 104 0.245 2.07 × 105 4.00 × 104 0.327 2.76 × 105 4.30 × 104 0.351 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 4.73 × 10-4 144 8.00 5.04 × 10-4 154 9.00 5.67 × 10-4 173 10.0 6.30 × 10-4 192 20.0 0.00126 384 30.0 0.00189 576 40.0 0.00252 768 50.0 0.00315 960 60.0 0.00378 1150 70.0 0.00441 1340 80.0 0.00504 1540 90.0 0.00567 1730 100 0.00630 1920 200 0.0126 3840 300 0.0189 5760 400 0.0252 7680 500 0.0315 9600 600 0.0378 1.15 × 104 700 0.0441 1.34 × 104 800 0.0504 1.54 × 104 900 0.0567 1.73 × 104 1000 0.0630 1.92 × 104 2000 0.126 3.84 × 104 3000 0.189 5.76 × 104 4000 0.252 7.68 × 104 5000 0.315 9.60 × 104 6000 0.378 1.15 × 105 7000 0.441 1.34 × 105 8000 0.504 1.54 × 105 9000 0.567 1.73 × 105 1.00 × 104 0.630 1.92 × 105 1.55 × 104 0.975 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 0.00756 576 8.00 0.00807 614 9.00 0.00908 691 10.0 0.0101 768 20.0 0.0202 1540 30.0 0.0303 2300 40.0 0.0403 3070 50.0 0.0504 3840 60.0 0.0605 4610 70.0 0.0706 5380 80.0 0.0807 6140 90.0 0.0908 6910 100 0.101 7680 200 0.202 1.54 × 104 300 0.303 2.30 × 104 400 0.403 3.07 × 104 500 0.504 3.84 × 104 600 0.605 4.61 × 104 700 0.706 5.38 × 104 800 0.807 6.14 × 104 900 0.908 6.91 × 104 1000 1.01 7.68 × 104 2000 2.02 1.54 × 105 2970 3.00 2.28 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.50 0.0383 1300 8.00 0.0408 1380 9.00 0.0459 1560 10.0 0.0511 1730 20.0 0.102 3460 30.0 0.153 5180 40.0 0.204 6910 50.0 0.255 8640 60.0 0.306 1.04 × 104 70.0 0.357 1.21 × 104 80.0 0.408 1.38 × 104 90.0 0.459 1.56 × 104 100 0.511 1.73 × 104 200 1.02 3.46 × 104 300 1.53 5.18 × 104 400 2.04 6.91 × 104 500 2.55 8.64 × 104 588 3.00 1.02 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.50 0.121 2300 8.00 0.129 2460 9.00 0.145 2760 10.0 0.161 3070 20.0 0.323 6140 30.0 0.484 9220 40.0 0.645 1.23 × 104 50.0 0.807 1.54 × 104 60.0 0.968 1.84 × 104 70.0 1.13 2.15 × 104 80.0 1.29 2.46 × 104 90.0 1.45 2.76 × 104 100 1.61 3.07 × 104 186 3.00 5.71 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.50 0.295 3600 8.00 0.315 3840 9.00 0.355 4320 10.0 0.394 4800 20.0 0.788 9600 30.0 1.18 1.44 × 104 40.0 1.58 1.92 × 104 50.0 1.97 2.40 × 104 60.0 2.36 2.88 × 104 70.0 2.76 3.36 × 104 76.2 3.00 3.65 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.50 0.613 5180 8.00 0.654 5530 9.00 0.735 6220 10.0 0.817 6910 20.0 1.63 1.38 × 104 30.0 2.45 2.07 × 104 36.7 3.00 2.54 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.50 1.94 9220 8.00 2.07 9830 9.00 2.32 1.11 × 104 10.0 2.58 1.23 × 104 11.6 3.00 1.43 × 104