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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W18 × 71
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 = 1170 in4) for the W18 × 71 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 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 71.0 1.90 × 10-6 6.05 80.0 2.14 × 10-6 6.82 90.0 2.40 × 10-6 7.67 100 2.67 × 10-6 8.52 200 5.34 × 10-6 17.0 300 8.01 × 10-6 25.6 400 1.07 × 10-5 34.1 500 1.34 × 10-5 42.6 600 1.60 × 10-5 51.1 700 1.87 × 10-5 59.7 800 2.14 × 10-5 68.2 900 2.40 × 10-5 76.7 1000 2.67 × 10-5 85.2 2000 5.34 × 10-5 170 3000 8.01 × 10-5 256 4000 1.07 × 10-4 341 5000 1.34 × 10-4 426 6000 1.60 × 10-4 511 7000 1.87 × 10-4 597 8000 2.14 × 10-4 682 9000 2.40 × 10-4 767 1.00 × 104 2.67 × 10-4 852 2.00 × 104 5.34 × 10-4 1700 3.00 × 104 8.01 × 10-4 2560 4.00 × 104 0.00107 3410 5.00 × 104 0.00134 4260 6.00 × 104 0.00160 5110 7.00 × 104 0.00187 5970 8.00 × 104 0.00214 6820 9.00 × 104 0.00240 7670 1.00 × 105 0.00267 8520 2.00 × 105 0.00534 1.70 × 104 3.00 × 105 0.00801 2.56 × 104 4.00 × 105 0.0107 3.41 × 104 5.00 × 105 0.0134 4.26 × 104 6.00 × 105 0.0160 5.11 × 104 7.00 × 105 0.0187 5.97 × 104 8.00 × 105 0.0214 6.82 × 104 9.00 × 105 0.0240 7.67 × 104 1.00 × 106 0.0267 8.52 × 104 2.00 × 106 0.0534 1.70 × 105 3.00 × 106 0.0801 2.56 × 105 3.48 × 106 0.0931 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 71.0 1.46 × 10-5 16.8 80.0 1.65 × 10-5 18.9 90.0 1.85 × 10-5 21.3 100 2.06 × 10-5 23.7 200 4.12 × 10-5 47.4 300 6.18 × 10-5 71.0 400 8.24 × 10-5 94.7 500 1.03 × 10-4 118 600 1.24 × 10-4 142 700 1.44 × 10-4 166 800 1.65 × 10-4 189 900 1.85 × 10-4 213 1000 2.06 × 10-4 237 2000 4.12 × 10-4 474 3000 6.18 × 10-4 710 4000 8.24 × 10-4 947 5000 0.00103 1180 6000 0.00124 1420 7000 0.00144 1660 8000 0.00165 1890 9000 0.00185 2130 1.00 × 104 0.00206 2370 2.00 × 104 0.00412 4740 3.00 × 104 0.00618 7100 4.00 × 104 0.00824 9470 5.00 × 104 0.0103 1.18 × 104 6.00 × 104 0.0124 1.42 × 104 7.00 × 104 0.0144 1.66 × 104 8.00 × 104 0.0165 1.89 × 104 9.00 × 104 0.0185 2.13 × 104 1.00 × 105 0.0206 2.37 × 104 2.00 × 105 0.0412 4.74 × 104 3.00 × 105 0.0618 7.10 × 104 4.00 × 105 0.0824 9.47 × 104 5.00 × 105 0.103 1.18 × 105 6.00 × 105 0.124 1.42 × 105 7.00 × 105 0.144 1.66 × 105 8.00 × 105 0.165 1.89 × 105 9.00 × 105 0.185 2.13 × 105 1.00 × 106 0.206 2.37 × 105 1.25 × 106 0.259 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 71.0 2.34 × 10-4 67.2 80.0 2.64 × 10-4 75.8 90.0 2.97 × 10-4 85.2 100 3.30 × 10-4 94.7 200 6.59 × 10-4 189 300 9.89 × 10-4 284 400 0.00132 379 500 0.00165 474 600 0.00198 568 700 0.00231 663 800 0.00264 758 900 0.00297 852 1000 0.00330 947 2000 0.00659 1890 3000 0.00989 2840 4000 0.0132 3790 5000 0.0165 4740 6000 0.0198 5680 7000 0.0231 6630 8000 0.0264 7580 9000 0.0297 8520 1.00 × 104 0.0330 9470 2.00 × 104 0.0659 1.89 × 104 3.00 × 104 0.0989 2.84 × 104 4.00 × 104 0.132 3.79 × 104 5.00 × 104 0.165 4.74 × 104 6.00 × 104 0.198 5.68 × 104 7.00 × 104 0.231 6.63 × 104 8.00 × 104 0.264 7.58 × 104 9.00 × 104 0.297 8.52 × 104 1.00 × 105 0.330 9.47 × 104 2.00 × 105 0.659 1.89 × 105 3.00 × 105 0.989 2.84 × 105 3.14 × 105 1.03 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 71.0 0.00119 151 80.0 0.00134 170 90.0 0.00150 192 100 0.00167 213 200 0.00334 426 300 0.00501 639 400 0.00668 852 500 0.00835 1070 600 0.0100 1280 700 0.0117 1490 800 0.0134 1700 900 0.0150 1920 1000 0.0167 2130 2000 0.0334 4260 3000 0.0501 6390 4000 0.0668 8520 5000 0.0835 1.07 × 104 6000 0.100 1.28 × 104 7000 0.117 1.49 × 104 8000 0.134 1.70 × 104 9000 0.150 1.92 × 104 1.00 × 104 0.167 2.13 × 104 2.00 × 104 0.334 4.26 × 104 3.00 × 104 0.501 6.39 × 104 4.00 × 104 0.668 8.52 × 104 5.00 × 104 0.835 1.07 × 105 6.00 × 104 1.00 1.28 × 105 7.00 × 104 1.17 1.49 × 105 8.00 × 104 1.34 1.70 × 105 9.00 × 104 1.50 1.92 × 105 1.00 × 105 1.67 2.13 × 105 1.39 × 105 2.33 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 71.0 0.00375 269 80.0 0.00422 303 90.0 0.00475 341 100 0.00528 379 200 0.0106 758 300 0.0158 1140 400 0.0211 1520 500 0.0264 1890 600 0.0317 2270 700 0.0369 2650 800 0.0422 3030 900 0.0475 3410 1000 0.0528 3790 2000 0.106 7580 3000 0.158 1.14 × 104 4000 0.211 1.52 × 104 5000 0.264 1.89 × 104 6000 0.317 2.27 × 104 7000 0.369 2.65 × 104 8000 0.422 3.03 × 104 9000 0.475 3.41 × 104 1.00 × 104 0.528 3.79 × 104 2.00 × 104 1.06 7.58 × 104 3.00 × 104 1.58 1.14 × 105 4.00 × 104 2.11 1.52 × 105 5.00 × 104 2.64 1.89 × 105 6.00 × 104 3.17 2.27 × 105 7.00 × 104 3.69 2.65 × 105 7.84 × 104 4.14 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 71.0 0.00915 420 80.0 0.0103 474 90.0 0.0116 533 100 0.0129 592 200 0.0258 1180 300 0.0386 1780 400 0.0515 2370 500 0.0644 2960 600 0.0773 3550 700 0.0902 4140 800 0.103 4740 900 0.116 5330 1000 0.129 5920 2000 0.258 1.18 × 104 3000 0.386 1.78 × 104 4000 0.515 2.37 × 104 5000 0.644 2.96 × 104 6000 0.773 3.55 × 104 7000 0.902 4.14 × 104 8000 1.03 4.74 × 104 9000 1.16 5.33 × 104 1.00 × 104 1.29 5.92 × 104 2.00 × 104 2.58 1.18 × 105 3.00 × 104 3.86 1.78 × 105 4.00 × 104 5.15 2.37 × 105 5.00 × 104 6.44 2.96 × 105 5.02 × 104 6.46 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 71.0 0.0190 605 80.0 0.0214 682 90.0 0.0240 767 100 0.0267 852 200 0.0534 1700 300 0.0801 2560 400 0.107 3410 500 0.134 4260 600 0.160 5110 700 0.187 5970 800 0.214 6820 900 0.240 7670 1000 0.267 8520 2000 0.534 1.70 × 104 3000 0.801 2.56 × 104 4000 1.07 3.41 × 104 5000 1.34 4.26 × 104 6000 1.60 5.11 × 104 7000 1.87 5.97 × 104 8000 2.14 6.82 × 104 9000 2.40 7.67 × 104 1.00 × 104 2.67 8.52 × 104 2.00 × 104 5.34 1.70 × 105 3.00 × 104 8.01 2.56 × 105 3.48 × 104 9.31 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 71.0 0.0599 1080 80.0 0.0675 1210 90.0 0.0760 1360 100 0.0844 1520 200 0.169 3030 300 0.253 4550 400 0.338 6060 500 0.422 7580 600 0.506 9090 700 0.591 1.06 × 104 800 0.675 1.21 × 104 900 0.760 1.36 × 104 1000 0.844 1.52 × 104 2000 1.69 3.03 × 104 3000 2.53 4.55 × 104 4000 3.38 6.06 × 104 5000 4.22 7.58 × 104 6000 5.06 9.09 × 104 7000 5.91 1.06 × 105 8000 6.75 1.21 × 105 9000 7.60 1.36 × 105 1.00 × 104 8.44 1.52 × 105 1.96 × 104 16.5 2.97 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 71.0 0.146 1680 80.0 0.165 1890 90.0 0.185 2130 100 0.206 2370 200 0.412 4740 300 0.618 7100 400 0.824 9470 500 1.03 1.18 × 104 600 1.24 1.42 × 104 700 1.44 1.66 × 104 800 1.65 1.89 × 104 900 1.85 2.13 × 104 1000 2.06 2.37 × 104 2000 4.12 4.74 × 104 3000 6.18 7.10 × 104 4000 8.24 9.47 × 104 5000 10.3 1.18 × 105 6000 12.4 1.42 × 105 7000 14.4 1.66 × 105 8000 16.5 1.89 × 105 8960 18.5 2.12 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 71.0 0.303 2420 80.0 0.342 2730 90.0 0.385 3070 100 0.427 3410 200 0.855 6820 300 1.28 1.02 × 104 400 1.71 1.36 × 104 500 2.14 1.70 × 104 600 2.56 2.05 × 104 700 2.99 2.39 × 104 800 3.42 2.73 × 104 900 3.85 3.07 × 104 1000 4.27 3.41 × 104 2000 8.55 6.82 × 104 3000 12.8 1.02 × 105 4000 17.1 1.36 × 105 4320 18.5 1.47 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 71.0 0.562 3300 80.0 0.633 3710 90.0 0.713 4180 100 0.792 4640 200 1.58 9280 300 2.38 1.39 × 104 400 3.17 1.86 × 104 500 3.96 2.32 × 104 600 4.75 2.78 × 104 700 5.54 3.25 × 104 800 6.33 3.71 × 104 900 7.13 4.18 × 104 1000 7.92 4.64 × 104 2000 15.8 9.28 × 104 2330 18.5 1.08 × 105
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 71.0 0.959 4300 80.0 1.08 4850 90.0 1.22 5460 100 1.35 6060 200 2.70 1.21 × 104 300 4.05 1.82 × 104 400 5.40 2.42 × 104 500 6.75 3.03 × 104 600 8.10 3.64 × 104 700 9.45 4.24 × 104 800 10.8 4.85 × 104 900 12.2 5.46 × 104 1000 13.5 6.06 × 104 1370 18.5 8.29 × 104
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 71.0 1.54 5450 80.0 1.73 6140 90.0 1.95 6900 100 2.16 7670 200 4.33 1.53 × 104 300 6.49 2.30 × 104 400 8.65 3.07 × 104 500 10.8 3.84 × 104 600 13.0 4.60 × 104 700 15.1 5.37 × 104 800 17.3 6.14 × 104 854 18.5 6.55 × 104
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 71.0 2.34 6720 80.0 2.64 7580 90.0 2.97 8520 100 3.30 9470 200 6.59 1.89 × 104 300 9.89 2.84 × 104 400 13.2 3.79 × 104 500 16.5 4.74 × 104 560 18.5 5.31 × 104
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 71.0 5.72 1.05 × 104 80.0 6.44 1.18 × 104 90.0 7.25 1.33 × 104 100 8.05 1.48 × 104 200 16.1 2.96 × 104 229 18.5 3.40 × 104
 Steel I Beam: W18 × 71 (Wide Flange 18 inch tall × 71 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 71.0 11.9 1.51 × 104 80.0 13.4 1.70 × 104 90.0 15.0 1.92 × 104 100 16.7 2.13 × 104 111 18.5 2.36 × 104
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