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Wide Flange Steel I Beam: W16 × 31
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max 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 = 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 Yield 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
L = 125 ft
L = 150 ft
   
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.98 × 10-6 8.86
40.0 2.55 × 10-6 11.4
50.0 3.19 × 10-6 14.3
60.0 3.83 × 10-6 17.2
70.0 4.47 × 10-6 20.0
80.0 5.11 × 10-6 22.9
90.0 5.74 × 10-6 25.7
100 6.38 × 10-6 28.6
200 1.28 × 10-5 57.2
300 1.91 × 10-5 85.8
400 2.55 × 10-5 114
500 3.19 × 10-5 143
600 3.83 × 10-5 172
700 4.47 × 10-5 200
800 5.11 × 10-5 229
900 5.74 × 10-5 257
1000 6.38 × 10-5 286
2000 1.28 × 10-4 572
3000 1.91 × 10-4 858
4000 2.55 × 10-4 1140
5000 3.19 × 10-4 1430
6000 3.83 × 10-4 1720
7000 4.47 × 10-4 2000
8000 5.11 × 10-4 2290
9000 5.74 × 10-4 2570
1.00 × 104 6.38 × 10-4 2860
2.00 × 104 0.00128 5720
3.00 × 104 0.00191 8580
4.00 × 104 0.00255 1.14 × 104
5.00 × 104 0.00319 1.43 × 104
6.00 × 104 0.00383 1.72 × 104
7.00 × 104 0.00447 2.00 × 104
8.00 × 104 0.00511 2.29 × 104
9.00 × 104 0.00574 2.57 × 104
1.00 × 105 0.00638 2.86 × 104
2.00 × 105 0.0128 5.72 × 104
3.00 × 105 0.0191 8.58 × 104
4.00 × 105 0.0255 1.14 × 105
5.00 × 105 0.0319 1.43 × 105
6.00 × 105 0.0383 1.72 × 105
7.00 × 105 0.0447 2.00 × 105
8.00 × 105 0.0511 2.29 × 105
9.00 × 105 0.0574 2.57 × 105
1.00 × 106 0.0638 2.86 × 105
1.04 × 106 0.0663 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.53 × 10-5 24.6
40.0 1.97 × 10-5 31.8
50.0 2.46 × 10-5 39.7
60.0 2.95 × 10-5 47.6
70.0 3.45 × 10-5 55.6
80.0 3.94 × 10-5 63.5
90.0 4.43 × 10-5 71.5
100 4.92 × 10-5 79.4
200 9.85 × 10-5 159
300 1.48 × 10-4 238
400 1.97 × 10-4 318
500 2.46 × 10-4 397
600 2.95 × 10-4 476
700 3.45 × 10-4 556
800 3.94 × 10-4 635
900 4.43 × 10-4 715
1000 4.92 × 10-4 794
2000 9.85 × 10-4 1590
3000 0.00148 2380
4000 0.00197 3180
5000 0.00246 3970
6000 0.00295 4760
7000 0.00345 5560
8000 0.00394 6350
9000 0.00443 7150
1.00 × 104 0.00492 7940
2.00 × 104 0.00985 1.59 × 104
3.00 × 104 0.0148 2.38 × 104
4.00 × 104 0.0197 3.18 × 104
5.00 × 104 0.0246 3.97 × 104
6.00 × 104 0.0295 4.76 × 104
7.00 × 104 0.0345 5.56 × 104
8.00 × 104 0.0394 6.35 × 104
9.00 × 104 0.0443 7.15 × 104
1.00 × 105 0.0492 7.94 × 104
2.00 × 105 0.0985 1.59 × 105
3.00 × 105 0.148 2.38 × 105
3.74 × 105 0.184 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 2.44 × 10-4 98.5
40.0 3.15 × 10-4 127
50.0 3.94 × 10-4 159
60.0 4.73 × 10-4 191
70.0 5.52 × 10-4 222
80.0 6.30 × 10-4 254
90.0 7.09 × 10-4 286
100 7.88 × 10-4 318
200 0.00158 635
300 0.00236 953
400 0.00315 1270
500 0.00394 1590
600 0.00473 1910
700 0.00552 2220
800 0.00630 2540
900 0.00709 2860
1000 0.00788 3180
2000 0.0158 6350
3000 0.0236 9530
4000 0.0315 1.27 × 104
5000 0.0394 1.59 × 104
6000 0.0473 1.91 × 104
7000 0.0552 2.22 × 104
8000 0.0630 2.54 × 104
9000 0.0709 2.86 × 104
1.00 × 104 0.0788 3.18 × 104
2.00 × 104 0.158 6.35 × 104
3.00 × 104 0.236 9.53 × 104
4.00 × 104 0.315 1.27 × 105
5.00 × 104 0.394 1.59 × 105
6.00 × 104 0.473 1.91 × 105
7.00 × 104 0.552 2.22 × 105
8.00 × 104 0.630 2.54 × 105
9.00 × 104 0.709 2.86 × 105
9.35 × 104 0.737 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.00124 222
40.0 0.00160 286
50.0 0.00199 357
60.0 0.00239 429
70.0 0.00279 500
80.0 0.00319 572
90.0 0.00359 643
100 0.00399 715
200 0.00798 1430
300 0.0120 2140
400 0.0160 2860
500 0.0199 3570
600 0.0239 4290
700 0.0279 5000
800 0.0319 5720
900 0.0359 6430
1000 0.0399 7150
2000 0.0798 1.43 × 104
3000 0.120 2.14 × 104
4000 0.160 2.86 × 104
5000 0.199 3.57 × 104
6000 0.239 4.29 × 104
7000 0.279 5.00 × 104
8000 0.319 5.72 × 104
9000 0.359 6.43 × 104
1.00 × 104 0.399 7.15 × 104
2.00 × 104 0.798 1.43 × 105
3.00 × 104 1.20 2.14 × 105
4.00 × 104 1.60 2.86 × 105
4.16 × 104 1.66 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.00391 394
40.0 0.00504 508
50.0 0.00630 635
60.0 0.00756 762
70.0 0.00883 889
80.0 0.0101 1020
90.0 0.0113 1140
100 0.0126 1270
200 0.0252 2540
300 0.0378 3810
400 0.0504 5080
500 0.0630 6350
600 0.0756 7620
700 0.0883 8890
800 0.101 1.02 × 104
900 0.113 1.14 × 104
1000 0.126 1.27 × 104
2000 0.252 2.54 × 104
3000 0.378 3.81 × 104
4000 0.504 5.08 × 104
5000 0.630 6.35 × 104
6000 0.756 7.62 × 104
7000 0.883 8.89 × 104
8000 1.01 1.02 × 105
9000 1.13 1.14 × 105
1.00 × 104 1.26 1.27 × 105
2.00 × 104 2.52 2.54 × 105
2.34 × 104 2.95 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.00954 615
40.0 0.0123 794
50.0 0.0154 993
60.0 0.0185 1190
70.0 0.0215 1390
80.0 0.0246 1590
90.0 0.0277 1790
100 0.0308 1990
200 0.0616 3970
300 0.0923 5960
400 0.123 7940
500 0.154 9930
600 0.185 1.19 × 104
700 0.215 1.39 × 104
800 0.246 1.59 × 104
900 0.277 1.79 × 104
1000 0.308 1.99 × 104
2000 0.616 3.97 × 104
3000 0.923 5.96 × 104
4000 1.23 7.94 × 104
5000 1.54 9.93 × 104
6000 1.85 1.19 × 105
7000 2.15 1.39 × 105
8000 2.46 1.59 × 105
9000 2.77 1.79 × 105
1.00 × 104 3.08 1.99 × 105
1.50 × 104 4.61 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.0198 886
40.0 0.0255 1140
50.0 0.0319 1430
60.0 0.0383 1720
70.0 0.0447 2000
80.0 0.0511 2290
90.0 0.0574 2570
100 0.0638 2860
200 0.128 5720
300 0.191 8580
400 0.255 1.14 × 104
500 0.319 1.43 × 104
600 0.383 1.72 × 104
700 0.447 2.00 × 104
800 0.511 2.29 × 104
900 0.574 2.57 × 104
1000 0.638 2.86 × 104
2000 1.28 5.72 × 104
3000 1.91 8.58 × 104
4000 2.55 1.14 × 105
5000 3.19 1.43 × 105
6000 3.83 1.72 × 105
7000 4.47 2.00 × 105
8000 5.11 2.29 × 105
9000 5.74 2.57 × 105
1.00 × 104 6.38 2.86 × 105
1.04 × 104 6.63 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.0625 1580
40.0 0.0807 2030
50.0 0.101 2540
60.0 0.121 3050
70.0 0.141 3560
80.0 0.161 4070
90.0 0.182 4570
100 0.202 5080
200 0.403 1.02 × 104
300 0.605 1.52 × 104
400 0.807 2.03 × 104
500 1.01 2.54 × 104
600 1.21 3.05 × 104
700 1.41 3.56 × 104
800 1.61 4.07 × 104
900 1.82 4.57 × 104
1000 2.02 5.08 × 104
2000 4.03 1.02 × 105
3000 6.05 1.52 × 105
4000 8.07 2.03 × 105
5000 10.1 2.54 × 105
5850 11.8 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.153 2460
40.0 0.197 3180
50.0 0.246 3970
60.0 0.295 4760
70.0 0.345 5560
80.0 0.394 6350
90.0 0.443 7150
100 0.492 7940
200 0.985 1.59 × 104
300 1.48 2.38 × 104
400 1.97 3.18 × 104
500 2.46 3.97 × 104
600 2.95 4.76 × 104
700 3.45 5.56 × 104
800 3.94 6.35 × 104
900 4.43 7.15 × 104
1000 4.92 7.94 × 104
2000 9.85 1.59 × 105
3000 14.8 2.38 × 105
3740 18.4 2.97 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.317 3540
40.0 0.408 4570
50.0 0.511 5720
60.0 0.613 6860
70.0 0.715 8000
80.0 0.817 9150
90.0 0.919 1.03 × 104
100 1.02 1.14 × 104
200 2.04 2.29 × 104
300 3.06 3.43 × 104
400 4.08 4.57 × 104
500 5.11 5.72 × 104
600 6.13 6.86 × 104
700 7.15 8.00 × 104
800 8.17 9.15 × 104
900 9.19 1.03 × 105
1000 10.2 1.14 × 105
1560 15.9 1.78 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.586 4820
40.0 0.757 6220
50.0 0.946 7780
60.0 1.14 9340
70.0 1.32 1.09 × 104
80.0 1.51 1.24 × 104
90.0 1.70 1.40 × 104
100 1.89 1.56 × 104
200 3.78 3.11 × 104
300 5.68 4.67 × 104
400 7.57 6.22 × 104
500 9.46 7.78 × 104
600 11.4 9.34 × 104
700 13.2 1.09 × 105
800 15.1 1.24 × 105
839 15.9 1.31 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.00 6300
40.0 1.29 8130
50.0 1.61 1.02 × 104
60.0 1.94 1.22 × 104
70.0 2.26 1.42 × 104
80.0 2.58 1.63 × 104
90.0 2.90 1.83 × 104
100 3.23 2.03 × 104
200 6.46 4.07 × 104
300 9.68 6.10 × 104
400 12.9 8.13 × 104
492 15.9 1.00 × 105
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.60 7970
40.0 2.07 1.03 × 104
50.0 2.58 1.29 × 104
60.0 3.10 1.54 × 104
70.0 3.62 1.80 × 104
80.0 4.14 2.06 × 104
90.0 4.65 2.32 × 104
100 5.17 2.57 × 104
200 10.3 5.15 × 104
300 15.5 7.72 × 104
307 15.9 7.90 × 104
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 2.44 9850
40.0 3.15 1.27 × 104
50.0 3.94 1.59 × 104
60.0 4.73 1.91 × 104
70.0 5.52 2.22 × 104
80.0 6.30 2.54 × 104
90.0 7.09 2.86 × 104
100 7.88 3.18 × 104
200 15.8 6.35 × 104
202 15.9 6.40 × 104
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 5.96 1.54 × 104
40.0 7.70 1.99 × 104
50.0 9.62 2.48 × 104
60.0 11.5 2.98 × 104
70.0 13.5 3.47 × 104
80.0 15.4 3.97 × 104
82.5 15.9 4.10 × 104
Steel I Beam: W16 × 31 (Wide Flange 16 inch tall × 31 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 12.4 2.22 × 104
39.8 15.9 2.84 × 104
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