Wide Flange Steel I Beam: W16 × 40

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 2.41 × 10-6 6.68 50.0 3.02 × 10-6 8.34 60.0 3.62 × 10-6 10.0 70.0 4.22 × 10-6 11.7 80.0 4.83 × 10-6 13.4 90.0 5.43 × 10-6 15.0 100 6.03 × 10-6 16.7 200 1.21 × 10-5 33.4 300 1.81 × 10-5 50.1 400 2.41 × 10-5 66.8 500 3.02 × 10-5 83.4 600 3.62 × 10-5 100 700 4.22 × 10-5 117 800 4.83 × 10-5 134 900 5.43 × 10-5 150 1000 6.03 × 10-5 167 2000 1.21 × 10-4 334 3000 1.81 × 10-4 501 4000 2.41 × 10-4 668 5000 3.02 × 10-4 834 6000 3.62 × 10-4 1000 7000 4.22 × 10-4 1170 8000 4.83 × 10-4 1340 9000 5.43 × 10-4 1500 1.00 × 104 6.03 × 10-4 1670 2.00 × 104 0.00121 3340 3.00 × 104 0.00181 5010 4.00 × 104 0.00241 6680 5.00 × 104 0.00302 8340 6.00 × 104 0.00362 1.00 × 104 7.00 × 104 0.00422 1.17 × 104 8.00 × 104 0.00483 1.34 × 104 9.00 × 104 0.00543 1.50 × 104 1.00 × 105 0.00603 1.67 × 104 2.00 × 105 0.0121 3.34 × 104 3.00 × 105 0.0181 5.01 × 104 4.00 × 105 0.0241 6.68 × 104 5.00 × 105 0.0302 8.34 × 104 6.00 × 105 0.0362 1.00 × 105 7.00 × 105 0.0422 1.17 × 105 8.00 × 105 0.0483 1.34 × 105 9.00 × 105 0.0543 1.50 × 105 1.00 × 106 0.0603 1.67 × 105 1.78 × 106 0.107 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 1.86 × 10-5 18.5 50.0 2.33 × 10-5 23.2 60.0 2.79 × 10-5 27.8 70.0 3.26 × 10-5 32.5 80.0 3.72 × 10-5 37.1 90.0 4.19 × 10-5 41.7 100 4.65 × 10-5 46.4 200 9.31 × 10-5 92.7 300 1.40 × 10-4 139 400 1.86 × 10-4 185 500 2.33 × 10-4 232 600 2.79 × 10-4 278 700 3.26 × 10-4 325 800 3.72 × 10-4 371 900 4.19 × 10-4 417 1000 4.65 × 10-4 464 2000 9.31 × 10-4 927 3000 0.00140 1390 4000 0.00186 1850 5000 0.00233 2320 6000 0.00279 2780 7000 0.00326 3250 8000 0.00372 3710 9000 0.00419 4170 1.00 × 104 0.00465 4640 2.00 × 104 0.00931 9270 3.00 × 104 0.0140 1.39 × 104 4.00 × 104 0.0186 1.85 × 104 5.00 × 104 0.0233 2.32 × 104 6.00 × 104 0.0279 2.78 × 104 7.00 × 104 0.0326 3.25 × 104 8.00 × 104 0.0372 3.71 × 104 9.00 × 104 0.0419 4.17 × 104 1.00 × 105 0.0465 4.64 × 104 2.00 × 105 0.0931 9.27 × 104 3.00 × 105 0.140 1.39 × 105 4.00 × 105 0.186 1.85 × 105 5.00 × 105 0.233 2.32 × 105 6.00 × 105 0.279 2.78 × 105 6.41 × 105 0.298 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 2.98 × 10-4 74.2 50.0 3.72 × 10-4 92.7 60.0 4.47 × 10-4 111 70.0 5.21 × 10-4 130 80.0 5.96 × 10-4 148 90.0 6.70 × 10-4 167 100 7.45 × 10-4 185 200 0.00149 371 300 0.00223 556 400 0.00298 742 500 0.00372 927 600 0.00447 1110 700 0.00521 1300 800 0.00596 1480 900 0.00670 1670 1000 0.00745 1850 2000 0.0149 3710 3000 0.0223 5560 4000 0.0298 7420 5000 0.0372 9270 6000 0.0447 1.11 × 104 7000 0.0521 1.30 × 104 8000 0.0596 1.48 × 104 9000 0.0670 1.67 × 104 1.00 × 104 0.0745 1.85 × 104 2.00 × 104 0.149 3.71 × 104 3.00 × 104 0.223 5.56 × 104 4.00 × 104 0.298 7.42 × 104 5.00 × 104 0.372 9.27 × 104 6.00 × 104 0.447 1.11 × 105 7.00 × 104 0.521 1.30 × 105 8.00 × 104 0.596 1.48 × 105 9.00 × 104 0.670 1.67 × 105 1.00 × 105 0.745 1.85 × 105 1.60 × 105 1.19 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 0.00151 167 50.0 0.00189 209 60.0 0.00226 250 70.0 0.00264 292 80.0 0.00302 334 90.0 0.00339 376 100 0.00377 417 200 0.00754 834 300 0.0113 1250 400 0.0151 1670 500 0.0189 2090 600 0.0226 2500 700 0.0264 2920 800 0.0302 3340 900 0.0339 3760 1000 0.0377 4170 2000 0.0754 8340 3000 0.113 1.25 × 104 4000 0.151 1.67 × 104 5000 0.189 2.09 × 104 6000 0.226 2.50 × 104 7000 0.264 2.92 × 104 8000 0.302 3.34 × 104 9000 0.339 3.76 × 104 1.00 × 104 0.377 4.17 × 104 2.00 × 104 0.754 8.34 × 104 3.00 × 104 1.13 1.25 × 105 4.00 × 104 1.51 1.67 × 105 5.00 × 104 1.89 2.09 × 105 6.00 × 104 2.26 2.50 × 105 7.00 × 104 2.64 2.92 × 105 7.12 × 104 2.68 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 0.00477 297 50.0 0.00596 371 60.0 0.00715 445 70.0 0.00834 519 80.0 0.00953 593 90.0 0.0107 668 100 0.0119 742 200 0.0238 1480 300 0.0357 2230 400 0.0477 2970 500 0.0596 3710 600 0.0715 4450 700 0.0834 5190 800 0.0953 5930 900 0.107 6680 1000 0.119 7420 2000 0.238 1.48 × 104 3000 0.357 2.23 × 104 4000 0.477 2.97 × 104 5000 0.596 3.71 × 104 6000 0.715 4.45 × 104 7000 0.834 5.19 × 104 8000 0.953 5.93 × 104 9000 1.07 6.68 × 104 1.00 × 104 1.19 7.42 × 104 2.00 × 104 2.38 1.48 × 105 3.00 × 104 3.57 2.23 × 105 4.00 × 104 4.77 2.97 × 105 4.00 × 104 4.77 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 0.0116 464 50.0 0.0145 580 60.0 0.0175 695 70.0 0.0204 811 80.0 0.0233 927 90.0 0.0262 1040 100 0.0291 1160 200 0.0582 2320 300 0.0873 3480 400 0.116 4640 500 0.145 5800 600 0.175 6950 700 0.204 8110 800 0.233 9270 900 0.262 1.04 × 104 1000 0.291 1.16 × 104 2000 0.582 2.32 × 104 3000 0.873 3.48 × 104 4000 1.16 4.64 × 104 5000 1.45 5.80 × 104 6000 1.75 6.95 × 104 7000 2.04 8.11 × 104 8000 2.33 9.27 × 104 9000 2.62 1.04 × 105 1.00 × 104 2.91 1.16 × 105 2.00 × 104 5.82 2.32 × 105 2.56 × 104 7.46 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 0.0241 668 50.0 0.0302 834 60.0 0.0362 1000 70.0 0.0422 1170 80.0 0.0483 1340 90.0 0.0543 1500 100 0.0603 1670 200 0.121 3340 300 0.181 5010 400 0.241 6680 500 0.302 8340 600 0.362 1.00 × 104 700 0.422 1.17 × 104 800 0.483 1.34 × 104 900 0.543 1.50 × 104 1000 0.603 1.67 × 104 2000 1.21 3.34 × 104 3000 1.81 5.01 × 104 4000 2.41 6.68 × 104 5000 3.02 8.34 × 104 6000 3.62 1.00 × 105 7000 4.22 1.17 × 105 8000 4.83 1.34 × 105 9000 5.43 1.50 × 105 1.00 × 104 6.03 1.67 × 105 1.78 × 104 10.7 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 0.0763 1190 50.0 0.0953 1480 60.0 0.114 1780 70.0 0.133 2080 80.0 0.153 2370 90.0 0.172 2670 100 0.191 2970 200 0.381 5930 300 0.572 8900 400 0.763 1.19 × 104 500 0.953 1.48 × 104 600 1.14 1.78 × 104 700 1.33 2.08 × 104 800 1.53 2.37 × 104 900 1.72 2.67 × 104 1000 1.91 2.97 × 104 2000 3.81 5.93 × 104 3000 5.72 8.90 × 104 4000 7.63 1.19 × 105 5000 9.53 1.48 × 105 6000 11.4 1.78 × 105 7000 13.3 2.08 × 105 8000 15.3 2.37 × 105 8400 16.0 2.49 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.0 0.186 1850 50.0 0.233 2320 60.0 0.279 2780 70.0 0.326 3250 80.0 0.372 3710 90.0 0.419 4170 100 0.465 4640 200 0.931 9270 300 1.40 1.39 × 104 400 1.86 1.85 × 104 500 2.33 2.32 × 104 600 2.79 2.78 × 104 700 3.26 3.25 × 104 800 3.72 3.71 × 104 900 4.19 4.17 × 104 1000 4.65 4.64 × 104 2000 9.31 9.27 × 104 3000 14.0 1.39 × 105 3440 16.0 1.59 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.0 0.386 2670 50.0 0.483 3340 60.0 0.579 4010 70.0 0.676 4670 80.0 0.772 5340 90.0 0.869 6010 100 0.965 6680 200 1.93 1.34 × 104 300 2.90 2.00 × 104 400 3.86 2.67 × 104 500 4.83 3.34 × 104 600 5.79 4.01 × 104 700 6.76 4.67 × 104 800 7.72 5.34 × 104 900 8.69 6.01 × 104 1000 9.65 6.68 × 104 1660 16.0 1.11 × 105
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.0 0.715 3630 50.0 0.894 4540 60.0 1.07 5450 70.0 1.25 6360 80.0 1.43 7270 90.0 1.61 8180 100 1.79 9090 200 3.58 1.82 × 104 300 5.36 2.73 × 104 400 7.15 3.63 × 104 500 8.94 4.54 × 104 600 10.7 5.45 × 104 700 12.5 6.36 × 104 800 14.3 7.27 × 104 895 16.0 8.14 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.0 1.22 4750 50.0 1.53 5930 60.0 1.83 7120 70.0 2.14 8310 80.0 2.44 9490 90.0 2.75 1.07 × 104 100 3.05 1.19 × 104 200 6.10 2.37 × 104 300 9.15 3.56 × 104 400 12.2 4.75 × 104 500 15.3 5.93 × 104 525 16.0 6.23 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.0 1.95 6010 50.0 2.44 7510 60.0 2.93 9010 70.0 3.42 1.05 × 104 80.0 3.91 1.20 × 104 90.0 4.40 1.35 × 104 100 4.89 1.50 × 104 200 9.77 3.00 × 104 300 14.7 4.51 × 104 328 16.0 4.92 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.0 2.98 7420 50.0 3.72 9270 60.0 4.47 1.11 × 104 70.0 5.21 1.30 × 104 80.0 5.96 1.48 × 104 90.0 6.70 1.67 × 104 100 7.45 1.85 × 104 200 14.9 3.71 × 104 215 16.0 3.99 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 40.0 7.27 1.16 × 104 50.0 9.09 1.45 × 104 60.0 10.9 1.74 × 104 70.0 12.7 2.03 × 104 80.0 14.5 2.32 × 104 88.1 16.0 2.55 × 104
 Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 40.0 15.1 1.67 × 104 42.5 16.0 1.77 × 104