Wide Flange Steel I Beam: W5 × 16

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W5 × 16
Wide Flange 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 = 21.3 in4) for the W5 × 16 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: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 16.0 2.17 × 10-5 21.8 20.0 2.72 × 10-5 27.2 30.0 4.08 × 10-5 40.8 40.0 5.44 × 10-5 54.4 50.0 6.80 × 10-5 68.0 60.0 8.16 × 10-5 81.6 70.0 9.51 × 10-5 95.2 80.0 1.09 × 10-4 109 90.0 1.22 × 10-4 122 100 1.36 × 10-4 136 200 2.72 × 10-4 272 300 4.08 × 10-4 408 400 5.44 × 10-4 544 500 6.80 × 10-4 680 600 8.16 × 10-4 816 700 9.51 × 10-4 952 800 0.00109 1090 900 0.00122 1220 1000 0.00136 1360 2000 0.00272 2720 3000 0.00408 4080 4000 0.00544 5440 5000 0.00680 6800 6000 0.00816 8160 7000 0.00951 9520 8000 0.0109 1.09 × 104 9000 0.0122 1.22 × 104 1.00 × 104 0.0136 1.36 × 104 2.00 × 104 0.0272 2.72 × 104 3.00 × 104 0.0408 4.08 × 104 4.00 × 104 0.0544 5.44 × 104 5.00 × 104 0.0680 6.80 × 104 6.00 × 104 0.0816 8.16 × 104 7.00 × 104 0.0951 9.52 × 104 8.00 × 104 0.109 1.09 × 105 9.00 × 104 0.122 1.22 × 105 1.00 × 105 0.136 1.36 × 105 2.00 × 105 0.272 2.72 × 105 2.18 × 105 0.297 2.97 × 105
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 16.0 1.68 × 10-4 60.5 20.0 2.10 × 10-4 75.6 30.0 3.15 × 10-4 113 40.0 4.20 × 10-4 151 50.0 5.24 × 10-4 189 60.0 6.29 × 10-4 227 70.0 7.34 × 10-4 265 80.0 8.39 × 10-4 302 90.0 9.44 × 10-4 340 100 0.00105 378 200 0.00210 756 300 0.00315 1130 400 0.00420 1510 500 0.00524 1890 600 0.00629 2270 700 0.00734 2650 800 0.00839 3020 900 0.00944 3400 1000 0.0105 3780 2000 0.0210 7560 3000 0.0315 1.13 × 104 4000 0.0420 1.51 × 104 5000 0.0524 1.89 × 104 6000 0.0629 2.27 × 104 7000 0.0734 2.65 × 104 8000 0.0839 3.02 × 104 9000 0.0944 3.40 × 104 1.00 × 104 0.105 3.78 × 104 2.00 × 104 0.210 7.56 × 104 3.00 × 104 0.315 1.13 × 105 4.00 × 104 0.420 1.51 × 105 5.00 × 104 0.524 1.89 × 105 6.00 × 104 0.629 2.27 × 105 7.00 × 104 0.734 2.65 × 105 7.86 × 104 0.824 2.97 × 105
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 16.0 0.00268 242 20.0 0.00336 302 30.0 0.00503 453 40.0 0.00671 605 50.0 0.00839 756 60.0 0.0101 907 70.0 0.0117 1060 80.0 0.0134 1210 90.0 0.0151 1360 100 0.0168 1510 200 0.0336 3020 300 0.0503 4530 400 0.0671 6050 500 0.0839 7560 600 0.101 9070 700 0.117 1.06 × 104 800 0.134 1.21 × 104 900 0.151 1.36 × 104 1000 0.168 1.51 × 104 2000 0.336 3.02 × 104 3000 0.503 4.53 × 104 4000 0.671 6.05 × 104 5000 0.839 7.56 × 104 6000 1.01 9.07 × 104 7000 1.17 1.06 × 105 8000 1.34 1.21 × 105 9000 1.51 1.36 × 105 1.00 × 104 1.68 1.51 × 105 1.97 × 104 3.30 2.97 × 105
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 16.0 0.0136 544 20.0 0.0170 680 30.0 0.0255 1020 40.0 0.0340 1360 50.0 0.0425 1700 60.0 0.0510 2040 70.0 0.0595 2380 80.0 0.0680 2720 90.0 0.0765 3060 100 0.0850 3400 200 0.170 6800 300 0.255 1.02 × 104 400 0.340 1.36 × 104 500 0.425 1.70 × 104 600 0.510 2.04 × 104 700 0.595 2.38 × 104 800 0.680 2.72 × 104 900 0.765 3.06 × 104 1000 0.850 3.40 × 104 2000 1.70 6.80 × 104 3000 2.55 1.02 × 105 4000 3.40 1.36 × 105 5000 4.25 1.70 × 105 5900 5.01 2.01 × 105
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 16.0 0.0430 967 20.0 0.0537 1210 30.0 0.0805 1810 40.0 0.107 2420 50.0 0.134 3020 60.0 0.161 3630 70.0 0.188 4230 80.0 0.215 4840 90.0 0.242 5440 100 0.268 6050 200 0.537 1.21 × 104 300 0.805 1.81 × 104 400 1.07 2.42 × 104 500 1.34 3.02 × 104 600 1.61 3.63 × 104 700 1.88 4.23 × 104 800 2.15 4.84 × 104 900 2.42 5.44 × 104 1000 2.68 6.05 × 104 1870 5.01 1.13 × 105
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 16.0 0.105 1510 20.0 0.131 1890 30.0 0.197 2830 40.0 0.262 3780 50.0 0.328 4720 60.0 0.393 5670 70.0 0.459 6610 80.0 0.524 7560 90.0 0.590 8500 100 0.655 9450 200 1.31 1.89 × 104 300 1.97 2.83 × 104 400 2.62 3.78 × 104 500 3.28 4.72 × 104 600 3.93 5.67 × 104 700 4.59 6.61 × 104 764 5.01 7.22 × 104
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 16.0 0.217 2180 20.0 0.272 2720 30.0 0.408 4080 40.0 0.544 5440 50.0 0.680 6800 60.0 0.816 8160 70.0 0.951 9520 80.0 1.09 1.09 × 104 90.0 1.22 1.22 × 104 100 1.36 1.36 × 104 200 2.72 2.72 × 104 300 4.08 4.08 × 104 369 5.01 5.01 × 104
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 16.0 0.687 3870 20.0 0.859 4840 30.0 1.29 7260 40.0 1.72 9670 50.0 2.15 1.21 × 104 60.0 2.58 1.45 × 104 70.0 3.01 1.69 × 104 80.0 3.44 1.93 × 104 90.0 3.87 2.18 × 104 100 4.30 2.42 × 104 117 5.01 2.82 × 104
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 16.0 1.68 6050 20.0 2.10 7560 30.0 3.15 1.13 × 104 40.0 4.20 1.51 × 104 47.8 5.01 1.81 × 104
 Steel I Beam: W5 × 16 (Wide Flange 5 inch tall × 16 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 16.0 3.48 8710 20.0 4.35 1.09 × 104 23.0 5.01 1.25 × 104