Wide Flange Steel I Beam: W16 × 40

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W16 × 40
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 = 518 in4) for the W16 × 40 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: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 40.0 2.24 × 10-6 7.15 50.0 2.79 × 10-6 8.94 60.0 3.35 × 10-6 10.7 70.0 3.91 × 10-6 12.5 80.0 4.47 × 10-6 14.3 90.0 5.03 × 10-6 16.1 100 5.59 × 10-6 17.9 200 1.12 × 10-5 35.7 300 1.68 × 10-5 53.6 400 2.24 × 10-5 71.5 500 2.79 × 10-5 89.4 600 3.35 × 10-5 107 700 3.91 × 10-5 125 800 4.47 × 10-5 143 900 5.03 × 10-5 161 1000 5.59 × 10-5 179 2000 1.12 × 10-4 357 3000 1.68 × 10-4 536 4000 2.24 × 10-4 715 5000 2.79 × 10-4 894 6000 3.35 × 10-4 1070 7000 3.91 × 10-4 1250 8000 4.47 × 10-4 1430 9000 5.03 × 10-4 1610 1.00 × 104 5.59 × 10-4 1790 2.00 × 104 0.00112 3570 3.00 × 104 0.00168 5360 4.00 × 104 0.00224 7150 5.00 × 104 0.00279 8940 6.00 × 104 0.00335 1.07 × 104 7.00 × 104 0.00391 1.25 × 104 8.00 × 104 0.00447 1.43 × 104 9.00 × 104 0.00503 1.61 × 104 1.00 × 105 0.00559 1.79 × 104 2.00 × 105 0.0112 3.57 × 104 3.00 × 105 0.0168 5.36 × 104 4.00 × 105 0.0224 7.15 × 104 5.00 × 105 0.0279 8.94 × 104 6.00 × 105 0.0335 1.07 × 105 7.00 × 105 0.0391 1.25 × 105 8.00 × 105 0.0447 1.43 × 105 9.00 × 105 0.0503 1.61 × 105 1.00 × 106 0.0559 1.79 × 105 1.66 × 106 0.0929 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 40.0 1.73 × 10-5 19.9 50.0 2.16 × 10-5 24.8 60.0 2.59 × 10-5 29.8 70.0 3.02 × 10-5 34.8 80.0 3.45 × 10-5 39.7 90.0 3.88 × 10-5 44.7 100 4.31 × 10-5 49.7 200 8.63 × 10-5 99.3 300 1.29 × 10-4 149 400 1.73 × 10-4 199 500 2.16 × 10-4 248 600 2.59 × 10-4 298 700 3.02 × 10-4 348 800 3.45 × 10-4 397 900 3.88 × 10-4 447 1000 4.31 × 10-4 497 2000 8.63 × 10-4 993 3000 0.00129 1490 4000 0.00173 1990 5000 0.00216 2480 6000 0.00259 2980 7000 0.00302 3480 8000 0.00345 3970 9000 0.00388 4470 1.00 × 104 0.00431 4970 2.00 × 104 0.00863 9930 3.00 × 104 0.0129 1.49 × 104 4.00 × 104 0.0173 1.99 × 104 5.00 × 104 0.0216 2.48 × 104 6.00 × 104 0.0259 2.98 × 104 7.00 × 104 0.0302 3.48 × 104 8.00 × 104 0.0345 3.97 × 104 9.00 × 104 0.0388 4.47 × 104 1.00 × 105 0.0431 4.97 × 104 2.00 × 105 0.0863 9.93 × 104 3.00 × 105 0.129 1.49 × 105 4.00 × 105 0.173 1.99 × 105 5.00 × 105 0.216 2.48 × 105 5.98 × 105 0.258 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 40.0 2.76 × 10-4 79.4 50.0 3.45 × 10-4 99.3 60.0 4.14 × 10-4 119 70.0 4.83 × 10-4 139 80.0 5.52 × 10-4 159 90.0 6.21 × 10-4 179 100 6.90 × 10-4 199 200 0.00138 397 300 0.00207 596 400 0.00276 794 500 0.00345 993 600 0.00414 1190 700 0.00483 1390 800 0.00552 1590 900 0.00621 1790 1000 0.00690 1990 2000 0.0138 3970 3000 0.0207 5960 4000 0.0276 7940 5000 0.0345 9930 6000 0.0414 1.19 × 104 7000 0.0483 1.39 × 104 8000 0.0552 1.59 × 104 9000 0.0621 1.79 × 104 1.00 × 104 0.0690 1.99 × 104 2.00 × 104 0.138 3.97 × 104 3.00 × 104 0.207 5.96 × 104 4.00 × 104 0.276 7.94 × 104 5.00 × 104 0.345 9.93 × 104 6.00 × 104 0.414 1.19 × 105 7.00 × 104 0.483 1.39 × 105 8.00 × 104 0.552 1.59 × 105 9.00 × 104 0.621 1.79 × 105 1.00 × 105 0.690 1.99 × 105 1.50 × 105 1.03 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 40.0 0.00140 179 50.0 0.00175 223 60.0 0.00210 268 70.0 0.00245 313 80.0 0.00279 357 90.0 0.00314 402 100 0.00349 447 200 0.00699 894 300 0.0105 1340 400 0.0140 1790 500 0.0175 2230 600 0.0210 2680 700 0.0245 3130 800 0.0279 3570 900 0.0314 4020 1000 0.0349 4470 2000 0.0699 8940 3000 0.105 1.34 × 104 4000 0.140 1.79 × 104 5000 0.175 2.23 × 104 6000 0.210 2.68 × 104 7000 0.245 3.13 × 104 8000 0.279 3.57 × 104 9000 0.314 4.02 × 104 1.00 × 104 0.349 4.47 × 104 2.00 × 104 0.699 8.94 × 104 3.00 × 104 1.05 1.34 × 105 4.00 × 104 1.40 1.79 × 105 5.00 × 104 1.75 2.23 × 105 6.00 × 104 2.10 2.68 × 105 6.65 × 104 2.32 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 40.0 0.00442 318 50.0 0.00552 397 60.0 0.00662 477 70.0 0.00773 556 80.0 0.00883 636 90.0 0.00994 715 100 0.0110 794 200 0.0221 1590 300 0.0331 2380 400 0.0442 3180 500 0.0552 3970 600 0.0662 4770 700 0.0773 5560 800 0.0883 6360 900 0.0994 7150 1000 0.110 7940 2000 0.221 1.59 × 104 3000 0.331 2.38 × 104 4000 0.442 3.18 × 104 5000 0.552 3.97 × 104 6000 0.662 4.77 × 104 7000 0.773 5.56 × 104 8000 0.883 6.36 × 104 9000 0.994 7.15 × 104 1.00 × 104 1.10 7.94 × 104 2.00 × 104 2.21 1.59 × 105 3.00 × 104 3.31 2.38 × 105 3.74 × 104 4.13 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 40.0 0.0108 497 50.0 0.0135 621 60.0 0.0162 745 70.0 0.0189 869 80.0 0.0216 993 90.0 0.0243 1120 100 0.0270 1240 200 0.0539 2480 300 0.0809 3720 400 0.108 4970 500 0.135 6210 600 0.162 7450 700 0.189 8690 800 0.216 9930 900 0.243 1.12 × 104 1000 0.270 1.24 × 104 2000 0.539 2.48 × 104 3000 0.809 3.72 × 104 4000 1.08 4.97 × 104 5000 1.35 6.21 × 104 6000 1.62 7.45 × 104 7000 1.89 8.69 × 104 8000 2.16 9.93 × 104 9000 2.43 1.12 × 105 1.00 × 104 2.70 1.24 × 105 2.00 × 104 5.39 2.48 × 105 2.39 × 104 6.45 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 40.0 0.0224 715 50.0 0.0279 894 60.0 0.0335 1070 70.0 0.0391 1250 80.0 0.0447 1430 90.0 0.0503 1610 100 0.0559 1790 200 0.112 3570 300 0.168 5360 400 0.224 7150 500 0.279 8940 600 0.335 1.07 × 104 700 0.391 1.25 × 104 800 0.447 1.43 × 104 900 0.503 1.61 × 104 1000 0.559 1.79 × 104 2000 1.12 3.57 × 104 3000 1.68 5.36 × 104 4000 2.24 7.15 × 104 5000 2.79 8.94 × 104 6000 3.35 1.07 × 105 7000 3.91 1.25 × 105 8000 4.47 1.43 × 105 9000 5.03 1.61 × 105 1.00 × 104 5.59 1.79 × 105 1.66 × 104 9.29 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 40.0 0.0707 1270 50.0 0.0883 1590 60.0 0.106 1910 70.0 0.124 2220 80.0 0.141 2540 90.0 0.159 2860 100 0.177 3180 200 0.353 6360 300 0.530 9530 400 0.707 1.27 × 104 500 0.883 1.59 × 104 600 1.06 1.91 × 104 700 1.24 2.22 × 104 800 1.41 2.54 × 104 900 1.59 2.86 × 104 1000 1.77 3.18 × 104 2000 3.53 6.36 × 104 3000 5.30 9.53 × 104 4000 7.07 1.27 × 105 5000 8.83 1.59 × 105 6000 10.6 1.91 × 105 7000 12.4 2.22 × 105 8000 14.1 2.54 × 105 9000 15.9 2.86 × 105 9350 16.5 2.97 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.0 0.173 1990 50.0 0.216 2480 60.0 0.259 2980 70.0 0.302 3480 80.0 0.345 3970 90.0 0.388 4470 100 0.431 4970 200 0.863 9930 300 1.29 1.49 × 104 400 1.73 1.99 × 104 500 2.16 2.48 × 104 600 2.59 2.98 × 104 700 3.02 3.48 × 104 800 3.45 3.97 × 104 900 3.88 4.47 × 104 1000 4.31 4.97 × 104 2000 8.63 9.93 × 104 3000 12.9 1.49 × 105 3710 16.0 1.84 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.0 0.358 2860 50.0 0.447 3570 60.0 0.537 4290 70.0 0.626 5000 80.0 0.715 5720 90.0 0.805 6430 100 0.894 7150 200 1.79 1.43 × 104 300 2.68 2.14 × 104 400 3.58 2.86 × 104 500 4.47 3.57 × 104 600 5.37 4.29 × 104 700 6.26 5.00 × 104 800 7.15 5.72 × 104 900 8.05 6.43 × 104 1000 8.94 7.15 × 104 1790 16.0 1.28 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.0 0.663 3890 50.0 0.828 4870 60.0 0.994 5840 70.0 1.16 6810 80.0 1.33 7790 90.0 1.49 8760 100 1.66 9730 200 3.31 1.95 × 104 300 4.97 2.92 × 104 400 6.63 3.89 × 104 500 8.28 4.87 × 104 600 9.94 5.84 × 104 700 11.6 6.81 × 104 800 13.3 7.79 × 104 900 14.9 8.76 × 104 966 16.0 9.40 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.0 1.13 5080 50.0 1.41 6360 60.0 1.70 7630 70.0 1.98 8900 80.0 2.26 1.02 × 104 90.0 2.54 1.14 × 104 100 2.83 1.27 × 104 200 5.65 2.54 × 104 300 8.48 3.81 × 104 400 11.3 5.08 × 104 500 14.1 6.36 × 104 566 16.0 7.20 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.0 1.81 6430 50.0 2.26 8040 60.0 2.72 9650 70.0 3.17 1.13 × 104 80.0 3.62 1.29 × 104 90.0 4.07 1.45 × 104 100 4.53 1.61 × 104 200 9.05 3.22 × 104 300 13.6 4.83 × 104 354 16.0 5.69 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.0 2.76 7940 50.0 3.45 9930 60.0 4.14 1.19 × 104 70.0 4.83 1.39 × 104 80.0 5.52 1.59 × 104 90.0 6.21 1.79 × 104 100 6.90 1.99 × 104 200 13.8 3.97 × 104 232 16.0 4.61 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 40.0 6.74 1.24 × 104 50.0 8.42 1.55 × 104 60.0 10.1 1.86 × 104 70.0 11.8 2.17 × 104 80.0 13.5 2.48 × 104 90.0 15.2 2.79 × 104 95.0 16.0 2.95 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 40.0 14.0 1.79 × 104 45.8 16.0 2.05 × 104