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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W18 × 76
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 1330 in4) for the W18 × 76 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: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 76.0 1.79 × 10-6 5.62 80.0 1.88 × 10-6 5.91 90.0 2.11 × 10-6 6.65 100 2.35 × 10-6 7.39 200 4.70 × 10-6 14.8 300 7.05 × 10-6 22.2 400 9.40 × 10-6 29.6 500 1.17 × 10-5 37.0 600 1.41 × 10-5 44.4 700 1.64 × 10-5 51.8 800 1.88 × 10-5 59.1 900 2.11 × 10-5 66.5 1000 2.35 × 10-5 73.9 2000 4.70 × 10-5 148 3000 7.05 × 10-5 222 4000 9.40 × 10-5 296 5000 1.17 × 10-4 370 6000 1.41 × 10-4 444 7000 1.64 × 10-4 518 8000 1.88 × 10-4 591 9000 2.11 × 10-4 665 1.00 × 104 2.35 × 10-4 739 2.00 × 104 4.70 × 10-4 1480 3.00 × 104 7.05 × 10-4 2220 4.00 × 104 9.40 × 10-4 2960 5.00 × 104 0.00117 3700 6.00 × 104 0.00141 4440 7.00 × 104 0.00164 5180 8.00 × 104 0.00188 5910 9.00 × 104 0.00211 6650 1.00 × 105 0.00235 7390 2.00 × 105 0.00470 1.48 × 104 3.00 × 105 0.00705 2.22 × 104 4.00 × 105 0.00940 2.96 × 104 5.00 × 105 0.0117 3.70 × 104 6.00 × 105 0.0141 4.44 × 104 7.00 × 105 0.0164 5.18 × 104 8.00 × 105 0.0188 5.91 × 104 9.00 × 105 0.0211 6.65 × 104 1.00 × 106 0.0235 7.39 × 104 2.00 × 106 0.0470 1.48 × 105 3.00 × 106 0.0705 2.22 × 105 4.00 × 106 0.0940 2.96 × 105 4.02 × 106 0.0944 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 76.0 1.38 × 10-5 15.6 80.0 1.45 × 10-5 16.4 90.0 1.63 × 10-5 18.5 100 1.81 × 10-5 20.5 200 3.63 × 10-5 41.1 300 5.44 × 10-5 61.6 400 7.25 × 10-5 82.2 500 9.06 × 10-5 103 600 1.09 × 10-4 123 700 1.27 × 10-4 144 800 1.45 × 10-4 164 900 1.63 × 10-4 185 1000 1.81 × 10-4 205 2000 3.63 × 10-4 411 3000 5.44 × 10-4 616 4000 7.25 × 10-4 822 5000 9.06 × 10-4 1030 6000 0.00109 1230 7000 0.00127 1440 8000 0.00145 1640 9000 0.00163 1850 1.00 × 104 0.00181 2050 2.00 × 104 0.00363 4110 3.00 × 104 0.00544 6160 4.00 × 104 0.00725 8220 5.00 × 104 0.00906 1.03 × 104 6.00 × 104 0.0109 1.23 × 104 7.00 × 104 0.0127 1.44 × 104 8.00 × 104 0.0145 1.64 × 104 9.00 × 104 0.0163 1.85 × 104 1.00 × 105 0.0181 2.05 × 104 2.00 × 105 0.0363 4.11 × 104 3.00 × 105 0.0544 6.16 × 104 4.00 × 105 0.0725 8.22 × 104 5.00 × 105 0.0906 1.03 × 105 6.00 × 105 0.109 1.23 × 105 7.00 × 105 0.127 1.44 × 105 8.00 × 105 0.145 1.64 × 105 9.00 × 105 0.163 1.85 × 105 1.00 × 106 0.181 2.05 × 105 1.45 × 106 0.262 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 76.0 2.20 × 10-4 62.4 80.0 2.32 × 10-4 65.7 90.0 2.61 × 10-4 73.9 100 2.90 × 10-4 82.2 200 5.80 × 10-4 164 300 8.70 × 10-4 246 400 0.00116 329 500 0.00145 411 600 0.00174 493 700 0.00203 575 800 0.00232 657 900 0.00261 739 1000 0.00290 822 2000 0.00580 1640 3000 0.00870 2460 4000 0.0116 3290 5000 0.0145 4110 6000 0.0174 4930 7000 0.0203 5750 8000 0.0232 6570 9000 0.0261 7390 1.00 × 104 0.0290 8220 2.00 × 104 0.0580 1.64 × 104 3.00 × 104 0.0870 2.46 × 104 4.00 × 104 0.116 3.29 × 104 5.00 × 104 0.145 4.11 × 104 6.00 × 104 0.174 4.93 × 104 7.00 × 104 0.203 5.75 × 104 8.00 × 104 0.232 6.57 × 104 9.00 × 104 0.261 7.39 × 104 1.00 × 105 0.290 8.22 × 104 2.00 × 105 0.580 1.64 × 105 3.00 × 105 0.870 2.46 × 105 3.62 × 105 1.05 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 76.0 0.00112 140 80.0 0.00117 148 90.0 0.00132 166 100 0.00147 185 200 0.00294 370 300 0.00441 555 400 0.00587 739 500 0.00734 924 600 0.00881 1110 700 0.0103 1290 800 0.0117 1480 900 0.0132 1660 1000 0.0147 1850 2000 0.0294 3700 3000 0.0441 5550 4000 0.0587 7390 5000 0.0734 9240 6000 0.0881 1.11 × 104 7000 0.103 1.29 × 104 8000 0.117 1.48 × 104 9000 0.132 1.66 × 104 1.00 × 104 0.147 1.85 × 104 2.00 × 104 0.294 3.70 × 104 3.00 × 104 0.441 5.55 × 104 4.00 × 104 0.587 7.39 × 104 5.00 × 104 0.734 9.24 × 104 6.00 × 104 0.881 1.11 × 105 7.00 × 104 1.03 1.29 × 105 8.00 × 104 1.17 1.48 × 105 9.00 × 104 1.32 1.66 × 105 1.00 × 105 1.47 1.85 × 105 1.61 × 105 2.36 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 76.0 0.00353 250 80.0 0.00371 263 90.0 0.00418 296 100 0.00464 329 200 0.00928 657 300 0.0139 986 400 0.0186 1310 500 0.0232 1640 600 0.0278 1970 700 0.0325 2300 800 0.0371 2630 900 0.0418 2960 1000 0.0464 3290 2000 0.0928 6570 3000 0.139 9860 4000 0.186 1.31 × 104 5000 0.232 1.64 × 104 6000 0.278 1.97 × 104 7000 0.325 2.30 × 104 8000 0.371 2.63 × 104 9000 0.418 2.96 × 104 1.00 × 104 0.464 3.29 × 104 2.00 × 104 0.928 6.57 × 104 3.00 × 104 1.39 9.86 × 104 4.00 × 104 1.86 1.31 × 105 5.00 × 104 2.32 1.64 × 105 6.00 × 104 2.78 1.97 × 105 7.00 × 104 3.25 2.30 × 105 8.00 × 104 3.71 2.63 × 105 9.00 × 104 4.18 2.96 × 105 9.04 × 104 4.20 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 76.0 0.00861 390 80.0 0.00906 411 90.0 0.0102 462 100 0.0113 513 200 0.0227 1030 300 0.0340 1540 400 0.0453 2050 500 0.0567 2570 600 0.0680 3080 700 0.0793 3590 800 0.0906 4110 900 0.102 4620 1000 0.113 5130 2000 0.227 1.03 × 104 3000 0.340 1.54 × 104 4000 0.453 2.05 × 104 5000 0.567 2.57 × 104 6000 0.680 3.08 × 104 7000 0.793 3.59 × 104 8000 0.906 4.11 × 104 9000 1.02 4.62 × 104 1.00 × 104 1.13 5.13 × 104 2.00 × 104 2.27 1.03 × 105 3.00 × 104 3.40 1.54 × 105 4.00 × 104 4.53 2.05 × 105 5.00 × 104 5.67 2.57 × 105 5.79 × 104 6.56 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 76.0 0.0179 562 80.0 0.0188 591 90.0 0.0211 665 100 0.0235 739 200 0.0470 1480 300 0.0705 2220 400 0.0940 2960 500 0.117 3700 600 0.141 4440 700 0.164 5180 800 0.188 5910 900 0.211 6650 1000 0.235 7390 2000 0.470 1.48 × 104 3000 0.705 2.22 × 104 4000 0.940 2.96 × 104 5000 1.17 3.70 × 104 6000 1.41 4.44 × 104 7000 1.64 5.18 × 104 8000 1.88 5.91 × 104 9000 2.11 6.65 × 104 1.00 × 104 2.35 7.39 × 104 2.00 × 104 4.70 1.48 × 105 3.00 × 104 7.05 2.22 × 105 4.00 × 104 9.40 2.96 × 105 4.02 × 104 9.44 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 76.0 0.0564 999 80.0 0.0594 1050 90.0 0.0668 1180 100 0.0743 1310 200 0.149 2630 300 0.223 3940 400 0.297 5260 500 0.371 6570 600 0.446 7890 700 0.520 9200 800 0.594 1.05 × 104 900 0.668 1.18 × 104 1000 0.743 1.31 × 104 2000 1.49 2.63 × 104 3000 2.23 3.94 × 104 4000 2.97 5.26 × 104 5000 3.71 6.57 × 104 6000 4.46 7.89 × 104 7000 5.20 9.20 × 104 8000 5.94 1.05 × 105 9000 6.68 1.18 × 105 1.00 × 104 7.43 1.31 × 105 2.00 × 104 14.9 2.63 × 105 2.26 × 104 16.8 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 76.0 0.138 1560 80.0 0.145 1640 90.0 0.163 1850 100 0.181 2050 200 0.363 4110 300 0.544 6160 400 0.725 8220 500 0.906 1.03 × 104 600 1.09 1.23 × 104 700 1.27 1.44 × 104 800 1.45 1.64 × 104 900 1.63 1.85 × 104 1000 1.81 2.05 × 104 2000 3.63 4.11 × 104 3000 5.44 6.16 × 104 4000 7.25 8.22 × 104 5000 9.06 1.03 × 105 6000 10.9 1.23 × 105 7000 12.7 1.44 × 105 8000 14.5 1.64 × 105 9000 16.3 1.85 × 105 1.00 × 104 18.1 2.05 × 105 1.45 × 104 26.2 2.97 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 76.0 0.286 2250 80.0 0.301 2370 90.0 0.338 2660 100 0.376 2960 200 0.752 5910 300 1.13 8870 400 1.50 1.18 × 104 500 1.88 1.48 × 104 600 2.26 1.77 × 104 700 2.63 2.07 × 104 800 3.01 2.37 × 104 900 3.38 2.66 × 104 1000 3.76 2.96 × 104 2000 7.52 5.91 × 104 3000 11.3 8.87 × 104 4000 15.0 1.18 × 105 4840 18.2 1.43 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 76.0 0.529 3060 80.0 0.557 3220 90.0 0.627 3620 100 0.696 4030 200 1.39 8050 300 2.09 1.21 × 104 400 2.79 1.61 × 104 500 3.48 2.01 × 104 600 4.18 2.42 × 104 700 4.88 2.82 × 104 800 5.57 3.22 × 104 900 6.27 3.62 × 104 1000 6.96 4.03 × 104 2000 13.9 8.05 × 104 2610 18.2 1.05 × 105
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 76.0 0.903 4000 80.0 0.950 4210 90.0 1.07 4730 100 1.19 5260 200 2.38 1.05 × 104 300 3.56 1.58 × 104 400 4.75 2.10 × 104 500 5.94 2.63 × 104 600 7.13 3.15 × 104 700 8.32 3.68 × 104 800 9.50 4.21 × 104 900 10.7 4.73 × 104 1000 11.9 5.26 × 104 1530 18.2 8.06 × 104
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 76.0 1.45 5060 80.0 1.52 5320 90.0 1.71 5990 100 1.90 6650 200 3.81 1.33 × 104 300 5.71 2.00 × 104 400 7.61 2.66 × 104 500 9.52 3.33 × 104 600 11.4 3.99 × 104 700 13.3 4.66 × 104 800 15.2 5.32 × 104 900 17.1 5.99 × 104 957 18.2 6.37 × 104
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 76.0 2.20 6240 80.0 2.32 6570 90.0 2.61 7390 100 2.90 8220 200 5.80 1.64 × 104 300 8.70 2.46 × 104 400 11.6 3.29 × 104 500 14.5 4.11 × 104 600 17.4 4.93 × 104 628 18.2 5.16 × 104
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 76.0 5.38 9760 80.0 5.67 1.03 × 104 90.0 6.37 1.16 × 104 100 7.08 1.28 × 104 200 14.2 2.57 × 104 257 18.2 3.30 × 104
 Steel I Beam: W18 × 76 (Wide Flange 18 inch tall × 76 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 76.0 11.2 1.40 × 104 80.0 11.7 1.48 × 104 90.0 13.2 1.66 × 104 100 14.7 1.85 × 104 124 18.2 2.29 × 104
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