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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 1.85 × 10-6 8.34 50.0 2.31 × 10-6 10.4 60.0 2.77 × 10-6 12.5 70.0 3.23 × 10-6 14.6 80.0 3.70 × 10-6 16.7 90.0 4.16 × 10-6 18.8 100 4.62 × 10-6 20.9 200 9.24 × 10-6 41.7 300 1.39 × 10-5 62.6 400 1.85 × 10-5 83.4 500 2.31 × 10-5 104 600 2.77 × 10-5 125 700 3.23 × 10-5 146 800 3.70 × 10-5 167 900 4.16 × 10-5 188 1000 4.62 × 10-5 209 2000 9.24 × 10-5 417 3000 1.39 × 10-4 626 4000 1.85 × 10-4 834 5000 2.31 × 10-4 1040 6000 2.77 × 10-4 1250 7000 3.23 × 10-4 1460 8000 3.70 × 10-4 1670 9000 4.16 × 10-4 1880 1.00 × 104 4.62 × 10-4 2090 2.00 × 104 9.24 × 10-4 4170 3.00 × 104 0.00139 6260 4.00 × 104 0.00185 8340 5.00 × 104 0.00231 1.04 × 104 6.00 × 104 0.00277 1.25 × 104 7.00 × 104 0.00323 1.46 × 104 8.00 × 104 0.00370 1.67 × 104 9.00 × 104 0.00416 1.88 × 104 1.00 × 105 0.00462 2.09 × 104 2.00 × 105 0.00924 4.17 × 104 3.00 × 105 0.0139 6.26 × 104 4.00 × 105 0.0185 8.34 × 104 5.00 × 105 0.0231 1.04 × 105 6.00 × 105 0.0277 1.25 × 105 7.00 × 105 0.0323 1.46 × 105 8.00 × 105 0.0370 1.67 × 105 9.00 × 105 0.0416 1.88 × 105 1.00 × 106 0.0462 2.09 × 105 1.42 × 106 0.0658 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 1.43 × 10-5 23.2 50.0 1.78 × 10-5 29.0 60.0 2.14 × 10-5 34.8 70.0 2.50 × 10-5 40.6 80.0 2.85 × 10-5 46.4 90.0 3.21 × 10-5 52.2 100 3.57 × 10-5 58.0 200 7.13 × 10-5 116 300 1.07 × 10-4 174 400 1.43 × 10-4 232 500 1.78 × 10-4 290 600 2.14 × 10-4 348 700 2.50 × 10-4 406 800 2.85 × 10-4 464 900 3.21 × 10-4 522 1000 3.57 × 10-4 580 2000 7.13 × 10-4 1160 3000 0.00107 1740 4000 0.00143 2320 5000 0.00178 2900 6000 0.00214 3480 7000 0.00250 4060 8000 0.00285 4640 9000 0.00321 5220 1.00 × 104 0.00357 5800 2.00 × 104 0.00713 1.16 × 104 3.00 × 104 0.0107 1.74 × 104 4.00 × 104 0.0143 2.32 × 104 5.00 × 104 0.0178 2.90 × 104 6.00 × 104 0.0214 3.48 × 104 7.00 × 104 0.0250 4.06 × 104 8.00 × 104 0.0285 4.64 × 104 9.00 × 104 0.0321 5.22 × 104 1.00 × 105 0.0357 5.80 × 104 2.00 × 105 0.0713 1.16 × 105 3.00 × 105 0.107 1.74 × 105 4.00 × 105 0.143 2.32 × 105 5.00 × 105 0.178 2.90 × 105 5.13 × 105 0.183 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 2.28 × 10-4 92.7 50.0 2.85 × 10-4 116 60.0 3.42 × 10-4 139 70.0 3.99 × 10-4 162 80.0 4.56 × 10-4 185 90.0 5.13 × 10-4 209 100 5.70 × 10-4 232 200 0.00114 464 300 0.00171 695 400 0.00228 927 500 0.00285 1160 600 0.00342 1390 700 0.00399 1620 800 0.00456 1850 900 0.00513 2090 1000 0.00570 2320 2000 0.0114 4640 3000 0.0171 6950 4000 0.0228 9270 5000 0.0285 1.16 × 104 6000 0.0342 1.39 × 104 7000 0.0399 1.62 × 104 8000 0.0456 1.85 × 104 9000 0.0513 2.09 × 104 1.00 × 104 0.0570 2.32 × 104 2.00 × 104 0.114 4.64 × 104 3.00 × 104 0.171 6.95 × 104 4.00 × 104 0.228 9.27 × 104 5.00 × 104 0.285 1.16 × 105 6.00 × 104 0.342 1.39 × 105 7.00 × 104 0.399 1.62 × 105 8.00 × 104 0.456 1.85 × 105 9.00 × 104 0.513 2.09 × 105 1.00 × 105 0.570 2.32 × 105 1.28 × 105 0.731 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 0.00116 209 50.0 0.00144 261 60.0 0.00173 313 70.0 0.00202 365 80.0 0.00231 417 90.0 0.00260 469 100 0.00289 522 200 0.00578 1040 300 0.00866 1560 400 0.0116 2090 500 0.0144 2610 600 0.0173 3130 700 0.0202 3650 800 0.0231 4170 900 0.0260 4690 1000 0.0289 5220 2000 0.0578 1.04 × 104 3000 0.0866 1.56 × 104 4000 0.116 2.09 × 104 5000 0.144 2.61 × 104 6000 0.173 3.13 × 104 7000 0.202 3.65 × 104 8000 0.231 4.17 × 104 9000 0.260 4.69 × 104 1.00 × 104 0.289 5.22 × 104 2.00 × 104 0.578 1.04 × 105 3.00 × 104 0.866 1.56 × 105 4.00 × 104 1.16 2.09 × 105 5.00 × 104 1.44 2.61 × 105 5.70 × 104 1.64 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 0.00365 371 50.0 0.00456 464 60.0 0.00548 556 70.0 0.00639 649 80.0 0.00730 742 90.0 0.00821 834 100 0.00913 927 200 0.0183 1850 300 0.0274 2780 400 0.0365 3710 500 0.0456 4640 600 0.0548 5560 700 0.0639 6490 800 0.0730 7420 900 0.0821 8340 1000 0.0913 9270 2000 0.183 1.85 × 104 3000 0.274 2.78 × 104 4000 0.365 3.71 × 104 5000 0.456 4.64 × 104 6000 0.548 5.56 × 104 7000 0.639 6.49 × 104 8000 0.730 7.42 × 104 9000 0.821 8.34 × 104 1.00 × 104 0.913 9.27 × 104 2.00 × 104 1.83 1.85 × 105 3.00 × 104 2.74 2.78 × 105 3.20 × 104 2.92 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 0.00891 580 50.0 0.0111 724 60.0 0.0134 869 70.0 0.0156 1010 80.0 0.0178 1160 90.0 0.0201 1300 100 0.0223 1450 200 0.0446 2900 300 0.0668 4350 400 0.0891 5800 500 0.111 7240 600 0.134 8690 700 0.156 1.01 × 104 800 0.178 1.16 × 104 900 0.201 1.30 × 104 1000 0.223 1.45 × 104 2000 0.446 2.90 × 104 3000 0.668 4.35 × 104 4000 0.891 5.80 × 104 5000 1.11 7.24 × 104 6000 1.34 8.69 × 104 7000 1.56 1.01 × 105 8000 1.78 1.16 × 105 9000 2.01 1.30 × 105 1.00 × 104 2.23 1.45 × 105 2.00 × 104 4.46 2.90 × 105 2.05 × 104 4.57 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 0.0185 834 50.0 0.0231 1040 60.0 0.0277 1250 70.0 0.0323 1460 80.0 0.0370 1670 90.0 0.0416 1880 100 0.0462 2090 200 0.0924 4170 300 0.139 6260 400 0.185 8340 500 0.231 1.04 × 104 600 0.277 1.25 × 104 700 0.323 1.46 × 104 800 0.370 1.67 × 104 900 0.416 1.88 × 104 1000 0.462 2.09 × 104 2000 0.924 4.17 × 104 3000 1.39 6.26 × 104 4000 1.85 8.34 × 104 5000 2.31 1.04 × 105 6000 2.77 1.25 × 105 7000 3.23 1.46 × 105 8000 3.70 1.67 × 105 9000 4.16 1.88 × 105 1.00 × 104 4.62 2.09 × 105 1.42 × 104 6.58 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 0.0584 1480 50.0 0.0730 1850 60.0 0.0876 2230 70.0 0.102 2600 80.0 0.117 2970 90.0 0.131 3340 100 0.146 3710 200 0.292 7420 300 0.438 1.11 × 104 400 0.584 1.48 × 104 500 0.730 1.85 × 104 600 0.876 2.23 × 104 700 1.02 2.60 × 104 800 1.17 2.97 × 104 900 1.31 3.34 × 104 1000 1.46 3.71 × 104 2000 2.92 7.42 × 104 3000 4.38 1.11 × 105 4000 5.84 1.48 × 105 5000 7.30 1.85 × 105 6000 8.76 2.23 × 105 7000 10.2 2.60 × 105 8000 11.7 2.97 × 105 8010 11.7 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 0.143 2320 50.0 0.178 2900 60.0 0.214 3480 70.0 0.250 4060 80.0 0.285 4640 90.0 0.321 5220 100 0.357 5800 200 0.713 1.16 × 104 300 1.07 1.74 × 104 400 1.43 2.32 × 104 500 1.78 2.90 × 104 600 2.14 3.48 × 104 700 2.50 4.06 × 104 800 2.85 4.64 × 104 900 3.21 5.22 × 104 1000 3.57 5.80 × 104 2000 7.13 1.16 × 105 3000 10.7 1.74 × 105 4000 14.3 2.32 × 105 4490 16.0 2.60 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.0 0.296 3340 50.0 0.370 4170 60.0 0.444 5010 70.0 0.518 5840 80.0 0.591 6680 90.0 0.665 7510 100 0.739 8340 200 1.48 1.67 × 104 300 2.22 2.50 × 104 400 2.96 3.34 × 104 500 3.70 4.17 × 104 600 4.44 5.01 × 104 700 5.18 5.84 × 104 800 5.91 6.68 × 104 900 6.65 7.51 × 104 1000 7.39 8.34 × 104 2000 14.8 1.67 × 105 2170 16.0 1.81 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.0 0.548 4540 50.0 0.685 5680 60.0 0.822 6820 70.0 0.959 7950 80.0 1.10 9090 90.0 1.23 1.02 × 104 100 1.37 1.14 × 104 200 2.74 2.27 × 104 300 4.11 3.41 × 104 400 5.48 4.54 × 104 500 6.85 5.68 × 104 600 8.22 6.82 × 104 700 9.59 7.95 × 104 800 11.0 9.09 × 104 900 12.3 1.02 × 105 1000 13.7 1.14 × 105 1170 16.0 1.33 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.0 0.935 5930 50.0 1.17 7420 60.0 1.40 8900 70.0 1.64 1.04 × 104 80.0 1.87 1.19 × 104 90.0 2.10 1.34 × 104 100 2.34 1.48 × 104 200 4.67 2.97 × 104 300 7.01 4.45 × 104 400 9.35 5.93 × 104 500 11.7 7.42 × 104 600 14.0 8.90 × 104 685 16.0 1.02 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.0 1.50 7510 50.0 1.87 9390 60.0 2.25 1.13 × 104 70.0 2.62 1.31 × 104 80.0 2.99 1.50 × 104 90.0 3.37 1.69 × 104 100 3.74 1.88 × 104 200 7.49 3.76 × 104 300 11.2 5.63 × 104 400 15.0 7.51 × 104 428 16.0 8.03 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.0 2.28 9270 50.0 2.85 1.16 × 104 60.0 3.42 1.39 × 104 70.0 3.99 1.62 × 104 80.0 4.56 1.85 × 104 90.0 5.13 2.09 × 104 100 5.70 2.32 × 104 200 11.4 4.64 × 104 281 16.0 6.51 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 40.0 5.57 1.45 × 104 50.0 6.96 1.81 × 104 60.0 8.36 2.17 × 104 70.0 9.75 2.54 × 104 80.0 11.1 2.90 × 104 90.0 12.5 3.26 × 104 100 13.9 3.62 × 104 115 16.0 4.16 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 40.0 11.6 2.09 × 104 50.0 14.4 2.61 × 104 55.4 16.0 2.89 × 104
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