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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S4 × 7.7
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 = 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 (S4 inch tall × 7.7 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 7.70 3.03 × 10-5 34.2 8.00 3.15 × 10-5 35.5 9.00 3.54 × 10-5 40.0 10.0 3.94 × 10-5 44.4 20.0 7.87 × 10-5 88.8 30.0 1.18 × 10-4 133 40.0 1.57 × 10-4 178 50.0 1.97 × 10-4 222 60.0 2.36 × 10-4 266 70.0 2.76 × 10-4 311 80.0 3.15 × 10-4 355 90.0 3.54 × 10-4 400 100 3.94 × 10-4 444 200 7.87 × 10-4 888 300 0.00118 1330 400 0.00157 1780 500 0.00197 2220 600 0.00236 2660 700 0.00276 3110 800 0.00315 3550 900 0.00354 4000 1000 0.00394 4440 2000 0.00787 8880 3000 0.0118 1.33 × 104 4000 0.0157 1.78 × 104 5000 0.0197 2.22 × 104 6000 0.0236 2.66 × 104 7000 0.0276 3.11 × 104 8000 0.0315 3.55 × 104 9000 0.0354 4.00 × 104 1.00 × 104 0.0394 4.44 × 104 2.00 × 104 0.0787 8.88 × 104 3.00 × 104 0.118 1.33 × 105 4.00 × 104 0.157 1.78 × 105 5.00 × 104 0.197 2.22 × 105 6.00 × 104 0.236 2.66 × 105 6.69 × 104 0.263 2.97 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 7.70 2.34 × 10-4 95.0 8.00 2.43 × 10-4 98.7 9.00 2.73 × 10-4 111 10.0 3.04 × 10-4 123 20.0 6.08 × 10-4 247 30.0 9.11 × 10-4 370 40.0 0.00122 493 50.0 0.00152 617 60.0 0.00182 740 70.0 0.00213 863 80.0 0.00243 987 90.0 0.00273 1110 100 0.00304 1230 200 0.00608 2470 300 0.00911 3700 400 0.0122 4930 500 0.0152 6170 600 0.0182 7400 700 0.0213 8630 800 0.0243 9870 900 0.0273 1.11 × 104 1000 0.0304 1.23 × 104 2000 0.0608 2.47 × 104 3000 0.0911 3.70 × 104 4000 0.122 4.93 × 104 5000 0.152 6.17 × 104 6000 0.182 7.40 × 104 7000 0.213 8.63 × 104 8000 0.243 9.87 × 104 9000 0.273 1.11 × 105 1.00 × 104 0.304 1.23 × 105 2.00 × 104 0.608 2.47 × 105 2.41 × 104 0.731 2.97 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 7.70 0.00374 380 8.00 0.00389 395 9.00 0.00437 444 10.0 0.00486 493 20.0 0.00972 987 30.0 0.0146 1480 40.0 0.0194 1970 50.0 0.0243 2470 60.0 0.0292 2960 70.0 0.0340 3450 80.0 0.0389 3950 90.0 0.0437 4440 100 0.0486 4930 200 0.0972 9870 300 0.146 1.48 × 104 400 0.194 1.97 × 104 500 0.243 2.47 × 104 600 0.292 2.96 × 104 700 0.340 3.45 × 104 800 0.389 3.95 × 104 900 0.437 4.44 × 104 1000 0.486 4.93 × 104 2000 0.972 9.87 × 104 3000 1.46 1.48 × 105 4000 1.94 1.97 × 105 5000 2.43 2.47 × 105 6000 2.92 2.96 × 105 6020 2.93 2.97 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.70 0.0189 855 8.00 0.0197 888 9.00 0.0221 999 10.0 0.0246 1110 20.0 0.0492 2220 30.0 0.0738 3330 40.0 0.0984 4440 50.0 0.123 5550 60.0 0.148 6660 70.0 0.172 7770 80.0 0.197 8880 90.0 0.221 9990 100 0.246 1.11 × 104 200 0.492 2.22 × 104 300 0.738 3.33 × 104 400 0.984 4.44 × 104 500 1.23 5.55 × 104 600 1.48 6.66 × 104 700 1.72 7.77 × 104 800 1.97 8.88 × 104 900 2.21 9.99 × 104 1000 2.46 1.11 × 105 1630 4.00 1.80 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.70 0.0599 1520 8.00 0.0622 1580 9.00 0.0700 1780 10.0 0.0778 1970 20.0 0.156 3950 30.0 0.233 5920 40.0 0.311 7890 50.0 0.389 9870 60.0 0.467 1.18 × 104 70.0 0.544 1.38 × 104 80.0 0.622 1.58 × 104 90.0 0.700 1.78 × 104 100 0.778 1.97 × 104 200 1.56 3.95 × 104 300 2.33 5.92 × 104 400 3.11 7.89 × 104 500 3.89 9.87 × 104 514 4.00 1.02 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.70 0.146 2370 8.00 0.152 2470 9.00 0.171 2780 10.0 0.190 3080 20.0 0.380 6170 30.0 0.570 9250 40.0 0.759 1.23 × 104 50.0 0.949 1.54 × 104 60.0 1.14 1.85 × 104 70.0 1.33 2.16 × 104 80.0 1.52 2.47 × 104 90.0 1.71 2.78 × 104 100 1.90 3.08 × 104 200 3.80 6.17 × 104 211 4.00 6.50 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.70 0.303 3420 8.00 0.315 3550 9.00 0.354 4000 10.0 0.394 4440 20.0 0.787 8880 30.0 1.18 1.33 × 104 40.0 1.57 1.78 × 104 50.0 1.97 2.22 × 104 60.0 2.36 2.66 × 104 70.0 2.76 3.11 × 104 80.0 3.15 3.55 × 104 90.0 3.54 4.00 × 104 100 3.94 4.44 × 104 102 4.00 4.51 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.70 0.958 6080 8.00 0.995 6320 9.00 1.12 7110 10.0 1.24 7890 20.0 2.49 1.58 × 104 30.0 3.73 2.37 × 104 32.2 4.00 2.54 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 7.70 2.34 9500 8.00 2.43 9870 9.00 2.73 1.11 × 104 10.0 3.04 1.23 × 104 13.2 4.00 1.62 × 104