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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S4 × 7.7

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 = 6.08 in4) for the S4 × 7.7 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: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 7.70 7.58 × 10-5 34.2 8.00 7.87 × 10-5 35.5 9.00 8.86 × 10-5 40.0 10.0 9.84 × 10-5 44.4 20.0 1.97 × 10-4 88.8 30.0 2.95 × 10-4 133 40.0 3.94 × 10-4 178 50.0 4.92 × 10-4 222 60.0 5.90 × 10-4 266 70.0 6.89 × 10-4 311 80.0 7.87 × 10-4 355 90.0 8.86 × 10-4 400 100 9.84 × 10-4 444 200 0.00197 888 300 0.00295 1330 400 0.00394 1780 500 0.00492 2220 600 0.00590 2660 700 0.00689 3110 800 0.00787 3550 900 0.00886 4000 1000 0.00984 4440 2000 0.0197 8880 3000 0.0295 1.33 × 104 4000 0.0394 1.78 × 104 5000 0.0492 2.22 × 104 6000 0.0590 2.66 × 104 7000 0.0689 3.11 × 104 8000 0.0787 3.55 × 104 9000 0.0886 4.00 × 104 1.00 × 104 0.0984 4.44 × 104 2.00 × 104 0.197 8.88 × 104 3.00 × 104 0.295 1.33 × 105 4.00 × 104 0.394 1.78 × 105 5.00 × 104 0.492 2.22 × 105 6.00 × 104 0.590 2.66 × 105 6.69 × 104 0.658 2.97 × 105
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 7.70 5.85 × 10-4 95.0 8.00 6.08 × 10-4 98.7 9.00 6.83 × 10-4 111 10.0 7.59 × 10-4 123 20.0 0.00152 247 30.0 0.00228 370 40.0 0.00304 493 50.0 0.00380 617 60.0 0.00456 740 70.0 0.00532 863 80.0 0.00608 987 90.0 0.00683 1110 100 0.00759 1230 200 0.0152 2470 300 0.0228 3700 400 0.0304 4930 500 0.0380 6170 600 0.0456 7400 700 0.0532 8630 800 0.0608 9870 900 0.0683 1.11 × 104 1000 0.0759 1.23 × 104 2000 0.152 2.47 × 104 3000 0.228 3.70 × 104 4000 0.304 4.93 × 104 5000 0.380 6.17 × 104 6000 0.456 7.40 × 104 7000 0.532 8.63 × 104 8000 0.608 9.87 × 104 9000 0.683 1.11 × 105 1.00 × 104 0.759 1.23 × 105 2.00 × 104 1.52 2.47 × 105 2.41 × 104 1.83 2.97 × 105
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 7.70 0.00936 380 8.00 0.00972 395 9.00 0.0109 444 10.0 0.0122 493 20.0 0.0243 987 30.0 0.0365 1480 40.0 0.0486 1970 50.0 0.0608 2470 60.0 0.0729 2960 70.0 0.0851 3450 80.0 0.0972 3950 90.0 0.109 4440 100 0.122 4930 200 0.243 9870 300 0.365 1.48 × 104 400 0.486 1.97 × 104 500 0.608 2.47 × 104 600 0.729 2.96 × 104 700 0.851 3.45 × 104 800 0.972 3.95 × 104 900 1.09 4.44 × 104 1000 1.22 4.93 × 104 2000 2.43 9.87 × 104 3000 3.65 1.48 × 105 3290 4.00 1.62 × 105
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.70 0.0474 855 8.00 0.0492 888 9.00 0.0554 999 10.0 0.0615 1110 20.0 0.123 2220 30.0 0.185 3330 40.0 0.246 4440 50.0 0.308 5550 60.0 0.369 6660 70.0 0.431 7770 80.0 0.492 8880 90.0 0.554 9990 100 0.615 1.11 × 104 200 1.23 2.22 × 104 300 1.85 3.33 × 104 400 2.46 4.44 × 104 500 3.08 5.55 × 104 600 3.69 6.66 × 104 650 4.00 7.22 × 104
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.70 0.150 1520 8.00 0.156 1580 9.00 0.175 1780 10.0 0.194 1970 20.0 0.389 3950 30.0 0.583 5920 40.0 0.778 7890 50.0 0.972 9870 60.0 1.17 1.18 × 104 70.0 1.36 1.38 × 104 80.0 1.56 1.58 × 104 90.0 1.75 1.78 × 104 100 1.94 1.97 × 104 200 3.89 3.95 × 104 206 4.00 4.06 × 104
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.70 0.365 2370 8.00 0.380 2470 9.00 0.427 2780 10.0 0.475 3080 20.0 0.949 6170 30.0 1.42 9250 40.0 1.90 1.23 × 104 50.0 2.37 1.54 × 104 60.0 2.85 1.85 × 104 70.0 3.32 2.16 × 104 80.0 3.80 2.47 × 104 84.3 4.00 2.60 × 104
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.70 0.758 3420 8.00 0.787 3550 9.00 0.886 4000 10.0 0.984 4440 20.0 1.97 8880 30.0 2.95 1.33 × 104 40.0 3.94 1.78 × 104 40.6 4.00 1.80 × 104
 Steel I Beam: S4 × 7.7 (S Section 4 inch tall × 7.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.70 2.40 6080 8.00 2.49 6320 9.00 2.80 7110 10.0 3.11 7890 12.9 4.00 1.02 × 104
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