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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
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max 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 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
  
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 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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (psi)
31.0 14.9 1.54 × 104
33.0 15.9 1.64 × 104
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