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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W10 × 77
Wide Flange 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 = 455 in4) for the W10 × 77 Wide Flange 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: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 77.0 4.05 × 10-6 12.1 80.0 4.21 × 10-6 12.6 90.0 4.73 × 10-6 14.2 100 5.26 × 10-6 15.7 200 1.05 × 10-5 31.5 300 1.58 × 10-5 47.2 400 2.10 × 10-5 62.9 500 2.63 × 10-5 78.6 600 3.16 × 10-5 94.4 700 3.68 × 10-5 110 800 4.21 × 10-5 126 900 4.73 × 10-5 142 1000 5.26 × 10-5 157 2000 1.05 × 10-4 315 3000 1.58 × 10-4 472 4000 2.10 × 10-4 629 5000 2.63 × 10-4 786 6000 3.16 × 10-4 944 7000 3.68 × 10-4 1100 8000 4.21 × 10-4 1260 9000 4.73 × 10-4 1420 1.00 × 104 5.26 × 10-4 1570 2.00 × 104 0.00105 3150 3.00 × 104 0.00158 4720 4.00 × 104 0.00210 6290 5.00 × 104 0.00263 7860 6.00 × 104 0.00316 9440 7.00 × 104 0.00368 1.10 × 104 8.00 × 104 0.00421 1.26 × 104 9.00 × 104 0.00473 1.42 × 104 1.00 × 105 0.00526 1.57 × 104 2.00 × 105 0.0105 3.15 × 104 3.00 × 105 0.0158 4.72 × 104 4.00 × 105 0.0210 6.29 × 104 5.00 × 105 0.0263 7.86 × 104 6.00 × 105 0.0316 9.44 × 104 7.00 × 105 0.0368 1.10 × 105 8.00 × 105 0.0421 1.26 × 105 9.00 × 105 0.0473 1.42 × 105 1.00 × 106 0.0526 1.57 × 105 1.89 × 106 0.0994 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 77.0 3.13 × 10-5 33.6 80.0 3.25 × 10-5 34.9 90.0 3.65 × 10-5 39.3 100 4.06 × 10-5 43.7 200 8.12 × 10-5 87.4 300 1.22 × 10-4 131 400 1.62 × 10-4 175 500 2.03 × 10-4 218 600 2.44 × 10-4 262 700 2.84 × 10-4 306 800 3.25 × 10-4 349 900 3.65 × 10-4 393 1000 4.06 × 10-4 437 2000 8.12 × 10-4 874 3000 0.00122 1310 4000 0.00162 1750 5000 0.00203 2180 6000 0.00244 2620 7000 0.00284 3060 8000 0.00325 3490 9000 0.00365 3930 1.00 × 104 0.00406 4370 2.00 × 104 0.00812 8740 3.00 × 104 0.0122 1.31 × 104 4.00 × 104 0.0162 1.75 × 104 5.00 × 104 0.0203 2.18 × 104 6.00 × 104 0.0244 2.62 × 104 7.00 × 104 0.0284 3.06 × 104 8.00 × 104 0.0325 3.49 × 104 9.00 × 104 0.0365 3.93 × 104 1.00 × 105 0.0406 4.37 × 104 2.00 × 105 0.0812 8.74 × 104 3.00 × 105 0.122 1.31 × 105 4.00 × 105 0.162 1.75 × 105 5.00 × 105 0.203 2.18 × 105 6.00 × 105 0.244 2.62 × 105 6.80 × 105 0.276 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 77.0 5.00 × 10-4 135 80.0 5.20 × 10-4 140 90.0 5.84 × 10-4 157 100 6.49 × 10-4 175 200 0.00130 349 300 0.00195 524 400 0.00260 699 500 0.00325 874 600 0.00390 1050 700 0.00455 1220 800 0.00520 1400 900 0.00584 1570 1000 0.00649 1750 2000 0.0130 3490 3000 0.0195 5240 4000 0.0260 6990 5000 0.0325 8740 6000 0.0390 1.05 × 104 7000 0.0455 1.22 × 104 8000 0.0520 1.40 × 104 9000 0.0584 1.57 × 104 1.00 × 104 0.0649 1.75 × 104 2.00 × 104 0.130 3.49 × 104 3.00 × 104 0.195 5.24 × 104 4.00 × 104 0.260 6.99 × 104 5.00 × 104 0.325 8.74 × 104 6.00 × 104 0.390 1.05 × 105 7.00 × 104 0.455 1.22 × 105 8.00 × 104 0.520 1.40 × 105 9.00 × 104 0.584 1.57 × 105 1.00 × 105 0.649 1.75 × 105 1.70 × 105 1.10 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 77.0 0.00253 303 80.0 0.00263 315 90.0 0.00296 354 100 0.00329 393 200 0.00658 786 300 0.00986 1180 400 0.0132 1570 500 0.0164 1970 600 0.0197 2360 700 0.0230 2750 800 0.0263 3150 900 0.0296 3540 1000 0.0329 3930 2000 0.0658 7860 3000 0.0986 1.18 × 104 4000 0.132 1.57 × 104 5000 0.164 1.97 × 104 6000 0.197 2.36 × 104 7000 0.230 2.75 × 104 8000 0.263 3.15 × 104 9000 0.296 3.54 × 104 1.00 × 104 0.329 3.93 × 104 2.00 × 104 0.658 7.86 × 104 3.00 × 104 0.986 1.18 × 105 4.00 × 104 1.32 1.57 × 105 5.00 × 104 1.64 1.97 × 105 6.00 × 104 1.97 2.36 × 105 7.00 × 104 2.30 2.75 × 105 7.56 × 104 2.48 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 77.0 0.00800 538 80.0 0.00831 559 90.0 0.00935 629 100 0.0104 699 200 0.0208 1400 300 0.0312 2100 400 0.0416 2800 500 0.0520 3490 600 0.0623 4190 700 0.0727 4890 800 0.0831 5590 900 0.0935 6290 1000 0.104 6990 2000 0.208 1.40 × 104 3000 0.312 2.10 × 104 4000 0.416 2.80 × 104 5000 0.520 3.49 × 104 6000 0.623 4.19 × 104 7000 0.727 4.89 × 104 8000 0.831 5.59 × 104 9000 0.935 6.29 × 104 1.00 × 104 1.04 6.99 × 104 2.00 × 104 2.08 1.40 × 105 3.00 × 104 3.12 2.10 × 105 4.00 × 104 4.16 2.80 × 105 4.25 × 104 4.42 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 77.0 0.0195 841 80.0 0.0203 874 90.0 0.0228 983 100 0.0254 1090 200 0.0507 2180 300 0.0761 3280 400 0.101 4370 500 0.127 5460 600 0.152 6550 700 0.178 7640 800 0.203 8740 900 0.228 9830 1000 0.254 1.09 × 104 2000 0.507 2.18 × 104 3000 0.761 3.28 × 104 4000 1.01 4.37 × 104 5000 1.27 5.46 × 104 6000 1.52 6.55 × 104 7000 1.78 7.64 × 104 8000 2.03 8.74 × 104 9000 2.28 9.83 × 104 1.00 × 104 2.54 1.09 × 105 2.00 × 104 5.07 2.18 × 105 2.72 × 104 6.90 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 77.0 0.0405 1210 80.0 0.0421 1260 90.0 0.0473 1420 100 0.0526 1570 200 0.105 3150 300 0.158 4720 400 0.210 6290 500 0.263 7860 600 0.316 9440 700 0.368 1.10 × 104 800 0.421 1.26 × 104 900 0.473 1.42 × 104 1000 0.526 1.57 × 104 2000 1.05 3.15 × 104 3000 1.58 4.72 × 104 4000 2.10 6.29 × 104 5000 2.63 7.86 × 104 6000 3.16 9.44 × 104 7000 3.68 1.10 × 105 8000 4.21 1.26 × 105 9000 4.73 1.42 × 105 1.00 × 104 5.26 1.57 × 105 1.89 × 104 9.94 2.97 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 77.0 0.128 2150 80.0 0.133 2240 90.0 0.150 2520 100 0.166 2800 200 0.333 5590 300 0.499 8390 400 0.665 1.12 × 104 500 0.831 1.40 × 104 600 0.998 1.68 × 104 700 1.16 1.96 × 104 800 1.33 2.24 × 104 900 1.50 2.52 × 104 1000 1.66 2.80 × 104 2000 3.33 5.59 × 104 3000 4.99 8.39 × 104 4000 6.65 1.12 × 105 5000 8.31 1.40 × 105 6000 9.98 1.68 × 105 6380 10.6 1.78 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 77.0 0.313 3360 80.0 0.325 3490 90.0 0.365 3930 100 0.406 4370 200 0.812 8740 300 1.22 1.31 × 104 400 1.62 1.75 × 104 500 2.03 2.18 × 104 600 2.44 2.62 × 104 700 2.84 3.06 × 104 800 3.25 3.49 × 104 900 3.65 3.93 × 104 1000 4.06 4.37 × 104 2000 8.12 8.74 × 104 2610 10.6 1.14 × 105
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 77.0 0.648 4840 80.0 0.673 5030 90.0 0.757 5660 100 0.842 6290 200 1.68 1.26 × 104 300 2.52 1.89 × 104 400 3.37 2.52 × 104 500 4.21 3.15 × 104 600 5.05 3.77 × 104 700 5.89 4.40 × 104 800 6.73 5.03 × 104 900 7.57 5.66 × 104 1000 8.42 6.29 × 104 1260 10.6 7.92 × 104
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 77.0 1.20 6590 80.0 1.25 6850 90.0 1.40 7710 100 1.56 8560 200 3.12 1.71 × 104 300 4.68 2.57 × 104 400 6.24 3.42 × 104 500 7.80 4.28 × 104 600 9.36 5.14 × 104 680 10.6 5.82 × 104
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 77.0 2.05 8610 80.0 2.13 8950 90.0 2.39 1.01 × 104 100 2.66 1.12 × 104 200 5.32 2.24 × 104 300 7.98 3.35 × 104 398 10.6 4.46 × 104
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 77.0 3.28 1.09 × 104 80.0 3.41 1.13 × 104 90.0 3.83 1.27 × 104 100 4.26 1.42 × 104 200 8.52 2.83 × 104 249 10.6 3.52 × 104
 Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 77.0 5.00 1.35 × 104 80.0 5.20 1.40 × 104 90.0 5.84 1.57 × 104 100 6.49 1.75 × 104 163 10.6 2.85 × 104
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