S Section Steel I Beam: S3 × 7.5

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 2.93 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 8.00 × 10-5 41.5 8.00 8.53 × 10-5 44.2 9.00 9.60 × 10-5 49.8 10.0 1.07 × 10-4 55.3 20.0 2.13 × 10-4 111 30.0 3.20 × 10-4 166 40.0 4.27 × 10-4 221 50.0 5.33 × 10-4 276 60.0 6.40 × 10-4 332 70.0 7.47 × 10-4 387 80.0 8.53 × 10-4 442 90.0 9.60 × 10-4 498 100 0.00107 553 200 0.00213 1110 300 0.00320 1660 400 0.00427 2210 500 0.00533 2760 600 0.00640 3320 700 0.00747 3870 800 0.00853 4420 900 0.00960 4980 1000 0.0107 5530 2000 0.0213 1.11 × 104 3000 0.0320 1.66 × 104 4000 0.0427 2.21 × 104 5000 0.0533 2.76 × 104 6000 0.0640 3.32 × 104 7000 0.0747 3.87 × 104 8000 0.0853 4.42 × 104 9000 0.0960 4.98 × 104 1.00 × 104 0.107 5.53 × 104 2.00 × 104 0.213 1.11 × 105 3.00 × 104 0.320 1.66 × 105 4.00 × 104 0.427 2.21 × 105 5.00 × 104 0.533 2.76 × 105 5.37 × 104 0.573 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 6.17 × 10-4 115 8.00 6.58 × 10-4 123 9.00 7.41 × 10-4 138 10.0 8.23 × 10-4 154 20.0 0.00165 307 30.0 0.00247 461 40.0 0.00329 614 50.0 0.00411 768 60.0 0.00494 922 70.0 0.00576 1080 80.0 0.00658 1230 90.0 0.00741 1380 100 0.00823 1540 200 0.0165 3070 300 0.0247 4610 400 0.0329 6140 500 0.0411 7680 600 0.0494 9220 700 0.0576 1.08 × 104 800 0.0658 1.23 × 104 900 0.0741 1.38 × 104 1000 0.0823 1.54 × 104 2000 0.165 3.07 × 104 3000 0.247 4.61 × 104 4000 0.329 6.14 × 104 5000 0.411 7.68 × 104 6000 0.494 9.22 × 104 7000 0.576 1.08 × 105 8000 0.658 1.23 × 105 9000 0.741 1.38 × 105 1.00 × 104 0.823 1.54 × 105 1.93 × 104 1.59 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 0.00988 461 8.00 0.0105 491 9.00 0.0119 553 10.0 0.0132 614 20.0 0.0263 1230 30.0 0.0395 1840 40.0 0.0527 2460 50.0 0.0658 3070 60.0 0.0790 3690 70.0 0.0922 4300 80.0 0.105 4910 90.0 0.119 5530 100 0.132 6140 200 0.263 1.23 × 104 300 0.395 1.84 × 104 400 0.527 2.46 × 104 500 0.658 3.07 × 104 600 0.790 3.69 × 104 700 0.922 4.30 × 104 800 1.05 4.91 × 104 900 1.19 5.53 × 104 1000 1.32 6.14 × 104 2000 2.63 1.23 × 105 2280 3.00 1.40 × 105
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.50 0.0500 1040 8.00 0.0533 1110 9.00 0.0600 1240 10.0 0.0667 1380 20.0 0.133 2760 30.0 0.200 4150 40.0 0.267 5530 50.0 0.333 6910 60.0 0.400 8290 70.0 0.467 9680 80.0 0.533 1.11 × 104 90.0 0.600 1.24 × 104 100 0.667 1.38 × 104 200 1.33 2.76 × 104 300 2.00 4.15 × 104 400 2.67 5.53 × 104 450 3.00 6.22 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.50 0.158 1840 8.00 0.169 1970 9.00 0.190 2210 10.0 0.211 2460 20.0 0.421 4910 30.0 0.632 7370 40.0 0.843 9830 50.0 1.05 1.23 × 104 60.0 1.26 1.47 × 104 70.0 1.47 1.72 × 104 80.0 1.69 1.97 × 104 90.0 1.90 2.21 × 104 100 2.11 2.46 × 104 142 3.00 3.50 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.50 0.386 2880 8.00 0.411 3070 9.00 0.463 3460 10.0 0.514 3840 20.0 1.03 7680 30.0 1.54 1.15 × 104 40.0 2.06 1.54 × 104 50.0 2.57 1.92 × 104 58.3 3.00 2.24 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.50 0.800 4150 8.00 0.853 4420 9.00 0.960 4980 10.0 1.07 5530 20.0 2.13 1.11 × 104 28.1 3.00 1.56 × 104
 Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.50 2.53 7370 8.00 2.70 7860 8.90 3.00 8750