Wide Flange Steel I Beam: W16 × 31

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W16 × 31

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 375 in4) for the W16 × 31 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 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 31.0 4.95 × 10-6 8.86 40.0 6.38 × 10-6 11.4 50.0 7.98 × 10-6 14.3 60.0 9.57 × 10-6 17.2 70.0 1.12 × 10-5 20.0 80.0 1.28 × 10-5 22.9 90.0 1.44 × 10-5 25.7 100 1.60 × 10-5 28.6 200 3.19 × 10-5 57.2 300 4.79 × 10-5 85.8 400 6.38 × 10-5 114 500 7.98 × 10-5 143 600 9.57 × 10-5 172 700 1.12 × 10-4 200 800 1.28 × 10-4 229 900 1.44 × 10-4 257 1000 1.60 × 10-4 286 2000 3.19 × 10-4 572 3000 4.79 × 10-4 858 4000 6.38 × 10-4 1140 5000 7.98 × 10-4 1430 6000 9.57 × 10-4 1720 7000 0.00112 2000 8000 0.00128 2290 9000 0.00144 2570 1.00 × 104 0.00160 2860 2.00 × 104 0.00319 5720 3.00 × 104 0.00479 8580 4.00 × 104 0.00638 1.14 × 104 5.00 × 104 0.00798 1.43 × 104 6.00 × 104 0.00957 1.72 × 104 7.00 × 104 0.0112 2.00 × 104 8.00 × 104 0.0128 2.29 × 104 9.00 × 104 0.0144 2.57 × 104 1.00 × 105 0.0160 2.86 × 104 2.00 × 105 0.0319 5.72 × 104 3.00 × 105 0.0479 8.58 × 104 4.00 × 105 0.0638 1.14 × 105 5.00 × 105 0.0798 1.43 × 105 6.00 × 105 0.0957 1.72 × 105 7.00 × 105 0.112 2.00 × 105 8.00 × 105 0.128 2.29 × 105 9.00 × 105 0.144 2.57 × 105 1.00 × 106 0.160 2.86 × 105 1.04 × 106 0.166 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 31.0 3.82 × 10-5 24.6 40.0 4.92 × 10-5 31.8 50.0 6.16 × 10-5 39.7 60.0 7.39 × 10-5 47.6 70.0 8.62 × 10-5 55.6 80.0 9.85 × 10-5 63.5 90.0 1.11 × 10-4 71.5 100 1.23 × 10-4 79.4 200 2.46 × 10-4 159 300 3.69 × 10-4 238 400 4.92 × 10-4 318 500 6.16 × 10-4 397 600 7.39 × 10-4 476 700 8.62 × 10-4 556 800 9.85 × 10-4 635 900 0.00111 715 1000 0.00123 794 2000 0.00246 1590 3000 0.00369 2380 4000 0.00492 3180 5000 0.00616 3970 6000 0.00739 4760 7000 0.00862 5560 8000 0.00985 6350 9000 0.0111 7150 1.00 × 104 0.0123 7940 2.00 × 104 0.0246 1.59 × 104 3.00 × 104 0.0369 2.38 × 104 4.00 × 104 0.0492 3.18 × 104 5.00 × 104 0.0616 3.97 × 104 6.00 × 104 0.0739 4.76 × 104 7.00 × 104 0.0862 5.56 × 104 8.00 × 104 0.0985 6.35 × 104 9.00 × 104 0.111 7.15 × 104 1.00 × 105 0.123 7.94 × 104 2.00 × 105 0.246 1.59 × 105 3.00 × 105 0.369 2.38 × 105 3.74 × 105 0.461 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 31.0 6.11 × 10-4 98.5 40.0 7.88 × 10-4 127 50.0 9.85 × 10-4 159 60.0 0.00118 191 70.0 0.00138 222 80.0 0.00158 254 90.0 0.00177 286 100 0.00197 318 200 0.00394 635 300 0.00591 953 400 0.00788 1270 500 0.00985 1590 600 0.0118 1910 700 0.0138 2220 800 0.0158 2540 900 0.0177 2860 1000 0.0197 3180 2000 0.0394 6350 3000 0.0591 9530 4000 0.0788 1.27 × 104 5000 0.0985 1.59 × 104 6000 0.118 1.91 × 104 7000 0.138 2.22 × 104 8000 0.158 2.54 × 104 9000 0.177 2.86 × 104 1.00 × 104 0.197 3.18 × 104 2.00 × 104 0.394 6.35 × 104 3.00 × 104 0.591 9.53 × 104 4.00 × 104 0.788 1.27 × 105 5.00 × 104 0.985 1.59 × 105 6.00 × 104 1.18 1.91 × 105 7.00 × 104 1.38 2.22 × 105 8.00 × 104 1.58 2.54 × 105 9.00 × 104 1.77 2.86 × 105 9.35 × 104 1.84 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 31.0 0.00309 222 40.0 0.00399 286 50.0 0.00499 357 60.0 0.00598 429 70.0 0.00698 500 80.0 0.00798 572 90.0 0.00898 643 100 0.00997 715 200 0.0199 1430 300 0.0299 2140 400 0.0399 2860 500 0.0499 3570 600 0.0598 4290 700 0.0698 5000 800 0.0798 5720 900 0.0898 6430 1000 0.0997 7150 2000 0.199 1.43 × 104 3000 0.299 2.14 × 104 4000 0.399 2.86 × 104 5000 0.499 3.57 × 104 6000 0.598 4.29 × 104 7000 0.698 5.00 × 104 8000 0.798 5.72 × 104 9000 0.898 6.43 × 104 1.00 × 104 0.997 7.15 × 104 2.00 × 104 1.99 1.43 × 105 3.00 × 104 2.99 2.14 × 105 4.00 × 104 3.99 2.86 × 105 4.16 × 104 4.15 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 31.0 0.00977 394 40.0 0.0126 508 50.0 0.0158 635 60.0 0.0189 762 70.0 0.0221 889 80.0 0.0252 1020 90.0 0.0284 1140 100 0.0315 1270 200 0.0630 2540 300 0.0946 3810 400 0.126 5080 500 0.158 6350 600 0.189 7620 700 0.221 8890 800 0.252 1.02 × 104 900 0.284 1.14 × 104 1000 0.315 1.27 × 104 2000 0.630 2.54 × 104 3000 0.946 3.81 × 104 4000 1.26 5.08 × 104 5000 1.58 6.35 × 104 6000 1.89 7.62 × 104 7000 2.21 8.89 × 104 8000 2.52 1.02 × 105 9000 2.84 1.14 × 105 1.00 × 104 3.15 1.27 × 105 2.00 × 104 6.30 2.54 × 105 2.34 × 104 7.37 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 31.0 0.0239 615 40.0 0.0308 794 50.0 0.0385 993 60.0 0.0462 1190 70.0 0.0539 1390 80.0 0.0616 1590 90.0 0.0693 1790 100 0.0770 1990 200 0.154 3970 300 0.231 5960 400 0.308 7940 500 0.385 9930 600 0.462 1.19 × 104 700 0.539 1.39 × 104 800 0.616 1.59 × 104 900 0.693 1.79 × 104 1000 0.770 1.99 × 104 2000 1.54 3.97 × 104 3000 2.31 5.96 × 104 4000 3.08 7.94 × 104 5000 3.85 9.93 × 104 6000 4.62 1.19 × 105 7000 5.39 1.39 × 105 8000 6.16 1.59 × 105 9000 6.93 1.79 × 105 1.00 × 104 7.70 1.99 × 105 1.50 × 104 11.5 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 31.0 0.0495 886 40.0 0.0638 1140 50.0 0.0798 1430 60.0 0.0957 1720 70.0 0.112 2000 80.0 0.128 2290 90.0 0.144 2570 100 0.160 2860 200 0.319 5720 300 0.479 8580 400 0.638 1.14 × 104 500 0.798 1.43 × 104 600 0.957 1.72 × 104 700 1.12 2.00 × 104 800 1.28 2.29 × 104 900 1.44 2.57 × 104 1000 1.60 2.86 × 104 2000 3.19 5.72 × 104 3000 4.79 8.58 × 104 4000 6.38 1.14 × 105 5000 7.98 1.43 × 105 6000 9.57 1.72 × 105 7000 11.2 2.00 × 105 8000 12.8 2.29 × 105 9000 14.4 2.57 × 105 9950 15.9 2.84 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.0 0.156 1580 40.0 0.202 2030 50.0 0.252 2540 60.0 0.303 3050 70.0 0.353 3560 80.0 0.403 4070 90.0 0.454 4570 100 0.504 5080 200 1.01 1.02 × 104 300 1.51 1.52 × 104 400 2.02 2.03 × 104 500 2.52 2.54 × 104 600 3.03 3.05 × 104 700 3.53 3.56 × 104 800 4.03 4.07 × 104 900 4.54 4.57 × 104 1000 5.04 5.08 × 104 2000 10.1 1.02 × 105 3000 15.1 1.52 × 105 3150 15.9 1.60 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.0 0.382 2460 40.0 0.492 3180 50.0 0.616 3970 60.0 0.739 4760 70.0 0.862 5560 80.0 0.985 6350 90.0 1.11 7150 100 1.23 7940 200 2.46 1.59 × 104 300 3.69 2.38 × 104 400 4.92 3.18 × 104 500 6.16 3.97 × 104 600 7.39 4.76 × 104 700 8.62 5.56 × 104 800 9.85 6.35 × 104 900 11.1 7.15 × 104 1000 12.3 7.94 × 104 1290 15.9 1.02 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.0 0.791 3540 40.0 1.02 4570 50.0 1.28 5720 60.0 1.53 6860 70.0 1.79 8000 80.0 2.04 9150 90.0 2.30 1.03 × 104 100 2.55 1.14 × 104 200 5.11 2.29 × 104 300 7.66 3.43 × 104 400 10.2 4.57 × 104 500 12.8 5.72 × 104 600 15.3 6.86 × 104 622 15.9 7.11 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.0 1.47 4820 40.0 1.89 6220 50.0 2.36 7780 60.0 2.84 9340 70.0 3.31 1.09 × 104 80.0 3.78 1.24 × 104 90.0 4.26 1.40 × 104 100 4.73 1.56 × 104 200 9.46 3.11 × 104 300 14.2 4.67 × 104 336 15.9 5.22 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.0 2.50 6300 40.0 3.23 8130 50.0 4.03 1.02 × 104 60.0 4.84 1.22 × 104 70.0 5.65 1.42 × 104 80.0 6.46 1.63 × 104 90.0 7.26 1.83 × 104 100 8.07 2.03 × 104 197 15.9 4.00 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.0 4.01 7970 40.0 5.17 1.03 × 104 50.0 6.46 1.29 × 104 60.0 7.75 1.54 × 104 70.0 9.05 1.80 × 104 80.0 10.3 2.06 × 104 90.0 11.6 2.32 × 104 100 12.9 2.57 × 104 123 15.9 3.16 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 31.0 6.11 9850 40.0 7.88 1.27 × 104 50.0 9.85 1.59 × 104 60.0 11.8 1.91 × 104 70.0 13.8 2.22 × 104 80.0 15.8 2.54 × 104 80.6 15.9 2.56 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 31.0 14.9 1.54 × 104 33.0 15.9 1.64 × 104