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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S3 × 7.5

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center 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 (S Section 3 inch tall × 7.5 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 7.50 1.53 × 10-4 51.8 8.00 1.63 × 10-4 55.3 9.00 1.84 × 10-4 62.2 10.0 2.04 × 10-4 69.1 20.0 4.08 × 10-4 138 30.0 6.13 × 10-4 207 40.0 8.17 × 10-4 276 50.0 0.00102 346 60.0 0.00123 415 70.0 0.00143 484 80.0 0.00163 553 90.0 0.00184 622 100 0.00204 691 200 0.00408 1380 300 0.00613 2070 400 0.00817 2760 500 0.0102 3460 600 0.0123 4150 700 0.0143 4840 800 0.0163 5530 900 0.0184 6220 1000 0.0204 6910 2000 0.0408 1.38 × 104 3000 0.0613 2.07 × 104 4000 0.0817 2.76 × 104 5000 0.102 3.46 × 104 6000 0.123 4.15 × 104 7000 0.143 4.84 × 104 8000 0.163 5.53 × 104 9000 0.184 6.22 × 104 1.00 × 104 0.204 6.91 × 104 2.00 × 104 0.408 1.38 × 105 3.00 × 104 0.613 2.07 × 105 4.00 × 104 0.817 2.76 × 105 4.30 × 104 0.878 2.97 × 105
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 7.50 0.00118 144 8.00 0.00126 154 9.00 0.00142 173 10.0 0.00158 192 20.0 0.00315 384 30.0 0.00473 576 40.0 0.00630 768 50.0 0.00788 960 60.0 0.00945 1150 70.0 0.0110 1340 80.0 0.0126 1540 90.0 0.0142 1730 100 0.0158 1920 200 0.0315 3840 300 0.0473 5760 400 0.0630 7680 500 0.0788 9600 600 0.0945 1.15 × 104 700 0.110 1.34 × 104 800 0.126 1.54 × 104 900 0.142 1.73 × 104 1000 0.158 1.92 × 104 2000 0.315 3.84 × 104 3000 0.473 5.76 × 104 4000 0.630 7.68 × 104 5000 0.788 9.60 × 104 6000 0.945 1.15 × 105 7000 1.10 1.34 × 105 8000 1.26 1.54 × 105 9000 1.42 1.73 × 105 1.00 × 104 1.58 1.92 × 105 1.55 × 104 2.44 2.97 × 105
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 7.50 0.0189 576 8.00 0.0202 614 9.00 0.0227 691 10.0 0.0252 768 20.0 0.0504 1540 30.0 0.0756 2300 40.0 0.101 3070 50.0 0.126 3840 60.0 0.151 4610 70.0 0.176 5380 80.0 0.202 6140 90.0 0.227 6910 100 0.252 7680 200 0.504 1.54 × 104 300 0.756 2.30 × 104 400 1.01 3.07 × 104 500 1.26 3.84 × 104 600 1.51 4.61 × 104 700 1.76 5.38 × 104 800 2.02 6.14 × 104 900 2.27 6.91 × 104 1000 2.52 7.68 × 104 1190 3.00 9.14 × 104
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.50 0.0957 1300 8.00 0.102 1380 9.00 0.115 1560 10.0 0.128 1730 20.0 0.255 3460 30.0 0.383 5180 40.0 0.511 6910 50.0 0.638 8640 60.0 0.766 1.04 × 104 70.0 0.893 1.21 × 104 80.0 1.02 1.38 × 104 90.0 1.15 1.56 × 104 100 1.28 1.73 × 104 200 2.55 3.46 × 104 235 3.00 4.06 × 104
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.50 0.303 2300 8.00 0.323 2460 9.00 0.363 2760 10.0 0.403 3070 20.0 0.807 6140 30.0 1.21 9220 40.0 1.61 1.23 × 104 50.0 2.02 1.54 × 104 60.0 2.42 1.84 × 104 70.0 2.82 2.15 × 104 74.4 3.00 2.28 × 104
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.50 0.739 3600 8.00 0.788 3840 9.00 0.886 4320 10.0 0.985 4800 20.0 1.97 9600 30.0 2.95 1.44 × 104 30.5 3.00 1.46 × 104
 Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.50 1.53 5180 8.00 1.63 5530 9.00 1.84 6220 10.0 2.04 6910 14.7 3.00 1.02 × 104
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Glossary
Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.