S Section Steel I Beam: S4 × 7.7

 FREE Publications Machinery Lubrication Filtration+Separation Business Aviation Reinforced Plastics Control Engineering LEDs Magazine Laser Focus World Industrial Laser more
 Materials Design Processes Units Formulas Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress occuring at the second and fourth supports 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 3.67 × 10-5 29.3 8.00 3.81 × 10-5 30.4 9.00 4.29 × 10-5 34.2 10.0 4.76 × 10-5 38.0 20.0 9.52 × 10-5 76.1 30.0 1.43 × 10-4 114 40.0 1.90 × 10-4 152 50.0 2.38 × 10-4 190 60.0 2.86 × 10-4 228 70.0 3.33 × 10-4 266 80.0 3.81 × 10-4 304 90.0 4.29 × 10-4 342 100 4.76 × 10-4 380 200 9.52 × 10-4 761 300 0.00143 1140 400 0.00190 1520 500 0.00238 1900 600 0.00286 2280 700 0.00333 2660 800 0.00381 3040 900 0.00429 3420 1000 0.00476 3800 2000 0.00952 7610 3000 0.0143 1.14 × 104 4000 0.0190 1.52 × 104 5000 0.0238 1.90 × 104 6000 0.0286 2.28 × 104 7000 0.0333 2.66 × 104 8000 0.0381 3.04 × 104 9000 0.0429 3.42 × 104 1.00 × 104 0.0476 3.80 × 104 2.00 × 104 0.0952 7.61 × 104 3.00 × 104 0.143 1.14 × 105 4.00 × 104 0.190 1.52 × 105 5.00 × 104 0.238 1.90 × 105 6.00 × 104 0.286 2.28 × 105 7.00 × 104 0.333 2.66 × 105 7.81 × 104 0.372 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 2.83 × 10-4 81.4 8.00 2.94 × 10-4 84.6 9.00 3.31 × 10-4 95.1 10.0 3.67 × 10-4 106 20.0 7.35 × 10-4 211 30.0 0.00110 317 40.0 0.00147 423 50.0 0.00184 528 60.0 0.00220 634 70.0 0.00257 740 80.0 0.00294 846 90.0 0.00331 951 100 0.00367 1060 200 0.00735 2110 300 0.0110 3170 400 0.0147 4230 500 0.0184 5280 600 0.0220 6340 700 0.0257 7400 800 0.0294 8460 900 0.0331 9510 1000 0.0367 1.06 × 104 2000 0.0735 2.11 × 104 3000 0.110 3.17 × 104 4000 0.147 4.23 × 104 5000 0.184 5.28 × 104 6000 0.220 6.34 × 104 7000 0.257 7.40 × 104 8000 0.294 8.46 × 104 9000 0.331 9.51 × 104 1.00 × 104 0.367 1.06 × 105 2.00 × 104 0.735 2.11 × 105 2.81 × 104 1.03 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 0.00453 326 8.00 0.00470 338 9.00 0.00529 380 10.0 0.00588 423 20.0 0.0118 846 30.0 0.0176 1270 40.0 0.0235 1690 50.0 0.0294 2110 60.0 0.0353 2540 70.0 0.0412 2960 80.0 0.0470 3380 90.0 0.0529 3800 100 0.0588 4230 200 0.118 8460 300 0.176 1.27 × 104 400 0.235 1.69 × 104 500 0.294 2.11 × 104 600 0.353 2.54 × 104 700 0.412 2.96 × 104 800 0.470 3.38 × 104 900 0.529 3.80 × 104 1000 0.588 4.23 × 104 2000 1.18 8.46 × 104 3000 1.76 1.27 × 105 4000 2.35 1.69 × 105 5000 2.94 2.11 × 105 6000 3.53 2.54 × 105 6800 4.00 2.88 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.70 0.0229 732 8.00 0.0238 761 9.00 0.0268 856 10.0 0.0298 951 20.0 0.0595 1900 30.0 0.0893 2850 40.0 0.119 3800 50.0 0.149 4760 60.0 0.179 5710 70.0 0.208 6660 80.0 0.238 7610 90.0 0.268 8560 100 0.298 9510 200 0.595 1.90 × 104 300 0.893 2.85 × 104 400 1.19 3.80 × 104 500 1.49 4.76 × 104 600 1.79 5.71 × 104 700 2.08 6.66 × 104 800 2.38 7.61 × 104 900 2.68 8.56 × 104 1000 2.98 9.51 × 104 1340 4.00 1.28 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.70 0.0724 1300 8.00 0.0752 1350 9.00 0.0847 1520 10.0 0.0941 1690 20.0 0.188 3380 30.0 0.282 5070 40.0 0.376 6760 50.0 0.470 8460 60.0 0.564 1.01 × 104 70.0 0.658 1.18 × 104 80.0 0.752 1.35 × 104 90.0 0.847 1.52 × 104 100 0.941 1.69 × 104 200 1.88 3.38 × 104 300 2.82 5.07 × 104 400 3.76 6.76 × 104 425 4.00 7.19 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.70 0.177 2030 8.00 0.184 2110 9.00 0.207 2380 10.0 0.230 2640 20.0 0.459 5280 30.0 0.689 7930 40.0 0.919 1.06 × 104 50.0 1.15 1.32 × 104 60.0 1.38 1.59 × 104 70.0 1.61 1.85 × 104 80.0 1.84 2.11 × 104 90.0 2.07 2.38 × 104 100 2.30 2.64 × 104 174 4.00 4.60 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.70 0.367 2930 8.00 0.381 3040 9.00 0.429 3420 10.0 0.476 3800 20.0 0.952 7610 30.0 1.43 1.14 × 104 40.0 1.90 1.52 × 104 50.0 2.38 1.90 × 104 60.0 2.86 2.28 × 104 70.0 3.33 2.66 × 104 80.0 3.81 3.04 × 104 84.0 4.00 3.20 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.70 1.16 5210 8.00 1.20 5410 9.00 1.35 6090 10.0 1.50 6760 20.0 3.01 1.35 × 104 26.6 4.00 1.80 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 7.70 2.83 8140 8.00 2.94 8460 9.00 3.31 9510 10.0 3.67 1.06 × 104 10.9 4.00 1.15 × 104
Additional Information
 Home  About Us  Privacy  Disclaimer  Contact  Copyright © 2019 eFunda, Inc.