Wide Flange Steel I Beam: W16 × 31

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W16 × 31
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 = 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 2.58 × 10-6 7.09 40.0 3.33 × 10-6 9.15 50.0 4.17 × 10-6 11.4 60.0 5.00 × 10-6 13.7 70.0 5.83 × 10-6 16.0 80.0 6.67 × 10-6 18.3 90.0 7.50 × 10-6 20.6 100 8.33 × 10-6 22.9 200 1.67 × 10-5 45.7 300 2.50 × 10-5 68.6 400 3.33 × 10-5 91.5 500 4.17 × 10-5 114 600 5.00 × 10-5 137 700 5.83 × 10-5 160 800 6.67 × 10-5 183 900 7.50 × 10-5 206 1000 8.33 × 10-5 229 2000 1.67 × 10-4 457 3000 2.50 × 10-4 686 4000 3.33 × 10-4 915 5000 4.17 × 10-4 1140 6000 5.00 × 10-4 1370 7000 5.83 × 10-4 1600 8000 6.67 × 10-4 1830 9000 7.50 × 10-4 2060 1.00 × 104 8.33 × 10-4 2290 2.00 × 104 0.00167 4570 3.00 × 104 0.00250 6860 4.00 × 104 0.00333 9150 5.00 × 104 0.00417 1.14 × 104 6.00 × 104 0.00500 1.37 × 104 7.00 × 104 0.00583 1.60 × 104 8.00 × 104 0.00667 1.83 × 104 9.00 × 104 0.00750 2.06 × 104 1.00 × 105 0.00833 2.29 × 104 2.00 × 105 0.0167 4.57 × 104 3.00 × 105 0.0250 6.86 × 104 4.00 × 105 0.0333 9.15 × 104 5.00 × 105 0.0417 1.14 × 105 6.00 × 105 0.0500 1.37 × 105 7.00 × 105 0.0583 1.60 × 105 8.00 × 105 0.0667 1.83 × 105 9.00 × 105 0.0750 2.06 × 105 1.00 × 106 0.0833 2.29 × 105 1.30 × 106 0.108 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 1.99 × 10-5 19.7 40.0 2.57 × 10-5 25.4 50.0 3.21 × 10-5 31.8 60.0 3.86 × 10-5 38.1 70.0 4.50 × 10-5 44.5 80.0 5.14 × 10-5 50.8 90.0 5.79 × 10-5 57.2 100 6.43 × 10-5 63.5 200 1.29 × 10-4 127 300 1.93 × 10-4 191 400 2.57 × 10-4 254 500 3.21 × 10-4 318 600 3.86 × 10-4 381 700 4.50 × 10-4 445 800 5.14 × 10-4 508 900 5.79 × 10-4 572 1000 6.43 × 10-4 635 2000 0.00129 1270 3000 0.00193 1910 4000 0.00257 2540 5000 0.00321 3180 6000 0.00386 3810 7000 0.00450 4450 8000 0.00514 5080 9000 0.00579 5720 1.00 × 104 0.00643 6350 2.00 × 104 0.0129 1.27 × 104 3.00 × 104 0.0193 1.91 × 104 4.00 × 104 0.0257 2.54 × 104 5.00 × 104 0.0321 3.18 × 104 6.00 × 104 0.0386 3.81 × 104 7.00 × 104 0.0450 4.45 × 104 8.00 × 104 0.0514 5.08 × 104 9.00 × 104 0.0579 5.72 × 104 1.00 × 105 0.0643 6.35 × 104 2.00 × 105 0.129 1.27 × 105 3.00 × 105 0.193 1.91 × 105 4.00 × 105 0.257 2.54 × 105 4.68 × 105 0.301 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 3.19 × 10-4 78.8 40.0 4.12 × 10-4 102 50.0 5.14 × 10-4 127 60.0 6.17 × 10-4 152 70.0 7.20 × 10-4 178 80.0 8.23 × 10-4 203 90.0 9.26 × 10-4 229 100 0.00103 254 200 0.00206 508 300 0.00309 762 400 0.00412 1020 500 0.00514 1270 600 0.00617 1520 700 0.00720 1780 800 0.00823 2030 900 0.00926 2290 1000 0.0103 2540 2000 0.0206 5080 3000 0.0309 7620 4000 0.0412 1.02 × 104 5000 0.0514 1.27 × 104 6000 0.0617 1.52 × 104 7000 0.0720 1.78 × 104 8000 0.0823 2.03 × 104 9000 0.0926 2.29 × 104 1.00 × 104 0.103 2.54 × 104 2.00 × 104 0.206 5.08 × 104 3.00 × 104 0.309 7.62 × 104 4.00 × 104 0.412 1.02 × 105 5.00 × 104 0.514 1.27 × 105 6.00 × 104 0.617 1.52 × 105 7.00 × 104 0.720 1.78 × 105 8.00 × 104 0.823 2.03 × 105 9.00 × 104 0.926 2.29 × 105 1.00 × 105 1.03 2.54 × 105 1.17 × 105 1.20 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 0.00161 177 40.0 0.00208 229 50.0 0.00260 286 60.0 0.00312 343 70.0 0.00365 400 80.0 0.00417 457 90.0 0.00469 515 100 0.00521 572 200 0.0104 1140 300 0.0156 1720 400 0.0208 2290 500 0.0260 2860 600 0.0312 3430 700 0.0365 4000 800 0.0417 4570 900 0.0469 5150 1000 0.0521 5720 2000 0.104 1.14 × 104 3000 0.156 1.72 × 104 4000 0.208 2.29 × 104 5000 0.260 2.86 × 104 6000 0.312 3.43 × 104 7000 0.365 4.00 × 104 8000 0.417 4.57 × 104 9000 0.469 5.15 × 104 1.00 × 104 0.521 5.72 × 104 2.00 × 104 1.04 1.14 × 105 3.00 × 104 1.56 1.72 × 105 4.00 × 104 2.08 2.29 × 105 5.00 × 104 2.60 2.86 × 105 5.20 × 104 2.71 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 0.00510 315 40.0 0.00658 407 50.0 0.00823 508 60.0 0.00988 610 70.0 0.0115 711 80.0 0.0132 813 90.0 0.0148 915 100 0.0165 1020 200 0.0329 2030 300 0.0494 3050 400 0.0658 4070 500 0.0823 5080 600 0.0988 6100 700 0.115 7110 800 0.132 8130 900 0.148 9150 1000 0.165 1.02 × 104 2000 0.329 2.03 × 104 3000 0.494 3.05 × 104 4000 0.658 4.07 × 104 5000 0.823 5.08 × 104 6000 0.988 6.10 × 104 7000 1.15 7.11 × 104 8000 1.32 8.13 × 104 9000 1.48 9.15 × 104 1.00 × 104 1.65 1.02 × 105 2.00 × 104 3.29 2.03 × 105 2.92 × 104 4.81 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 0.0125 492 40.0 0.0161 635 50.0 0.0201 794 60.0 0.0241 953 70.0 0.0281 1110 80.0 0.0321 1270 90.0 0.0362 1430 100 0.0402 1590 200 0.0804 3180 300 0.121 4760 400 0.161 6350 500 0.201 7940 600 0.241 9530 700 0.281 1.11 × 104 800 0.321 1.27 × 104 900 0.362 1.43 × 104 1000 0.402 1.59 × 104 2000 0.804 3.18 × 104 3000 1.21 4.76 × 104 4000 1.61 6.35 × 104 5000 2.01 7.94 × 104 6000 2.41 9.53 × 104 7000 2.81 1.11 × 105 8000 3.21 1.27 × 105 9000 3.62 1.43 × 105 1.00 × 104 4.02 1.59 × 105 1.87 × 104 7.52 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 0.0258 709 40.0 0.0333 915 50.0 0.0417 1140 60.0 0.0500 1370 70.0 0.0583 1600 80.0 0.0667 1830 90.0 0.0750 2060 100 0.0833 2290 200 0.167 4570 300 0.250 6860 400 0.333 9150 500 0.417 1.14 × 104 600 0.500 1.37 × 104 700 0.583 1.60 × 104 800 0.667 1.83 × 104 900 0.750 2.06 × 104 1000 0.833 2.29 × 104 2000 1.67 4.57 × 104 3000 2.50 6.86 × 104 4000 3.33 9.15 × 104 5000 4.17 1.14 × 105 6000 5.00 1.37 × 105 7000 5.83 1.60 × 105 8000 6.67 1.83 × 105 9000 7.50 2.06 × 105 1.00 × 104 8.33 2.29 × 105 1.30 × 104 10.8 2.97 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 31.0 0.0816 1260 40.0 0.105 1630 50.0 0.132 2030 60.0 0.158 2440 70.0 0.184 2850 80.0 0.211 3250 90.0 0.237 3660 100 0.263 4070 200 0.527 8130 300 0.790 1.22 × 104 400 1.05 1.63 × 104 500 1.32 2.03 × 104 600 1.58 2.44 × 104 700 1.84 2.85 × 104 800 2.11 3.25 × 104 900 2.37 3.66 × 104 1000 2.63 4.07 × 104 2000 5.27 8.13 × 104 3000 7.90 1.22 × 105 4000 10.5 1.63 × 105 5000 13.2 2.03 × 105 6000 15.8 2.44 × 105 6030 15.9 2.45 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 31.0 0.199 1970 40.0 0.257 2540 50.0 0.321 3180 60.0 0.386 3810 70.0 0.450 4450 80.0 0.514 5080 90.0 0.579 5720 100 0.643 6350 200 1.29 1.27 × 104 300 1.93 1.91 × 104 400 2.57 2.54 × 104 500 3.21 3.18 × 104 600 3.86 3.81 × 104 700 4.50 4.45 × 104 800 5.14 5.08 × 104 900 5.79 5.72 × 104 1000 6.43 6.35 × 104 2000 12.9 1.27 × 105 2470 15.9 1.57 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 31.0 0.413 2840 40.0 0.533 3660 50.0 0.667 4570 60.0 0.800 5490 70.0 0.933 6400 80.0 1.07 7320 90.0 1.20 8230 100 1.33 9150 200 2.67 1.83 × 104 300 4.00 2.74 × 104 400 5.33 3.66 × 104 500 6.67 4.57 × 104 600 8.00 5.49 × 104 700 9.33 6.40 × 104 800 10.7 7.32 × 104 900 12.0 8.23 × 104 1000 13.3 9.15 × 104 1190 15.9 1.09 × 105
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 31.0 0.766 3860 40.0 0.988 4980 50.0 1.24 6220 60.0 1.48 7470 70.0 1.73 8710 80.0 1.98 9960 90.0 2.22 1.12 × 104 100 2.47 1.24 × 104 200 4.94 2.49 × 104 300 7.41 3.73 × 104 400 9.88 4.98 × 104 500 12.4 6.22 × 104 600 14.8 7.47 × 104 643 15.9 8.00 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 31.0 1.31 5040 40.0 1.69 6500 50.0 2.11 8130 60.0 2.53 9760 70.0 2.95 1.14 × 104 80.0 3.37 1.30 × 104 90.0 3.79 1.46 × 104 100 4.21 1.63 × 104 200 8.43 3.25 × 104 300 12.6 4.88 × 104 377 15.9 6.13 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 31.0 2.09 6380 40.0 2.70 8230 50.0 3.37 1.03 × 104 60.0 4.05 1.23 × 104 70.0 4.72 1.44 × 104 80.0 5.40 1.65 × 104 90.0 6.07 1.85 × 104 100 6.75 2.06 × 104 200 13.5 4.12 × 104 235 15.9 4.84 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 31.0 3.19 7880 40.0 4.12 1.02 × 104 50.0 5.14 1.27 × 104 60.0 6.17 1.52 × 104 70.0 7.20 1.78 × 104 80.0 8.23 2.03 × 104 90.0 9.26 2.29 × 104 100 10.3 2.54 × 104 154 15.9 3.92 × 104
 Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 31.0 7.79 1.23 × 104 40.0 10.0 1.59 × 104 50.0 12.6 1.99 × 104 60.0 15.1 2.38 × 104 63.2 15.9 2.51 × 104