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Wide Flange Steel I Beam: W8 × 31
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W8 × 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 = 110 in4) for the W8 × 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
   
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.69 × 10-5 15.2
40.0 2.18 × 10-5 19.6
50.0 2.72 × 10-5 24.5
60.0 3.26 × 10-5 29.5
70.0 3.81 × 10-5 34.4
80.0 4.35 × 10-5 39.3
90.0 4.90 × 10-5 44.2
100 5.44 × 10-5 49.1
200 1.09 × 10-4 98.2
300 1.63 × 10-4 147
400 2.18 × 10-4 196
500 2.72 × 10-4 245
600 3.26 × 10-4 295
700 3.81 × 10-4 344
800 4.35 × 10-4 393
900 4.90 × 10-4 442
1000 5.44 × 10-4 491
2000 0.00109 982
3000 0.00163 1470
4000 0.00218 1960
5000 0.00272 2450
6000 0.00326 2950
7000 0.00381 3440
8000 0.00435 3930
9000 0.00490 4420
1.00 × 104 0.00544 4910
2.00 × 104 0.0109 9820
3.00 × 104 0.0163 1.47 × 104
4.00 × 104 0.0218 1.96 × 104
5.00 × 104 0.0272 2.45 × 104
6.00 × 104 0.0326 2.95 × 104
7.00 × 104 0.0381 3.44 × 104
8.00 × 104 0.0435 3.93 × 104
9.00 × 104 0.0490 4.42 × 104
1.00 × 105 0.0544 4.91 × 104
2.00 × 105 0.109 9.82 × 104
3.00 × 105 0.163 1.47 × 105
4.00 × 105 0.218 1.96 × 105
5.00 × 105 0.272 2.45 × 105
6.00 × 105 0.326 2.95 × 105
6.05 × 105 0.329 2.97 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.30 × 10-4 42.3
40.0 1.68 × 10-4 54.5
50.0 2.10 × 10-4 68.2
60.0 2.52 × 10-4 81.8
70.0 2.94 × 10-4 95.5
80.0 3.36 × 10-4 109
90.0 3.78 × 10-4 123
100 4.20 × 10-4 136
200 8.39 × 10-4 273
300 0.00126 409
400 0.00168 545
500 0.00210 682
600 0.00252 818
700 0.00294 955
800 0.00336 1090
900 0.00378 1230
1000 0.00420 1360
2000 0.00839 2730
3000 0.0126 4090
4000 0.0168 5450
5000 0.0210 6820
6000 0.0252 8180
7000 0.0294 9550
8000 0.0336 1.09 × 104
9000 0.0378 1.23 × 104
1.00 × 104 0.0420 1.36 × 104
2.00 × 104 0.0839 2.73 × 104
3.00 × 104 0.126 4.09 × 104
4.00 × 104 0.168 5.45 × 104
5.00 × 104 0.210 6.82 × 104
6.00 × 104 0.252 8.18 × 104
7.00 × 104 0.294 9.55 × 104
8.00 × 104 0.336 1.09 × 105
9.00 × 104 0.378 1.23 × 105
1.00 × 105 0.420 1.36 × 105
2.00 × 105 0.839 2.73 × 105
2.18 × 105 0.914 2.97 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.00208 169
40.0 0.00269 218
50.0 0.00336 273
60.0 0.00403 327
70.0 0.00470 382
80.0 0.00537 436
90.0 0.00604 491
100 0.00672 545
200 0.0134 1090
300 0.0201 1640
400 0.0269 2180
500 0.0336 2730
600 0.0403 3270
700 0.0470 3820
800 0.0537 4360
900 0.0604 4910
1000 0.0672 5450
2000 0.134 1.09 × 104
3000 0.201 1.64 × 104
4000 0.269 2.18 × 104
5000 0.336 2.73 × 104
6000 0.403 3.27 × 104
7000 0.470 3.82 × 104
8000 0.537 4.36 × 104
9000 0.604 4.91 × 104
1.00 × 104 0.672 5.45 × 104
2.00 × 104 1.34 1.09 × 105
3.00 × 104 2.01 1.64 × 105
4.00 × 104 2.69 2.18 × 105
5.00 × 104 3.36 2.73 × 105
5.45 × 104 3.66 2.97 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.0105 380
40.0 0.0136 491
50.0 0.0170 614
60.0 0.0204 736
70.0 0.0238 859
80.0 0.0272 982
90.0 0.0306 1100
100 0.0340 1230
200 0.0680 2450
300 0.102 3680
400 0.136 4910
500 0.170 6140
600 0.204 7360
700 0.238 8590
800 0.272 9820
900 0.306 1.10 × 104
1000 0.340 1.23 × 104
2000 0.680 2.45 × 104
3000 1.02 3.68 × 104
4000 1.36 4.91 × 104
5000 1.70 6.14 × 104
6000 2.04 7.36 × 104
7000 2.38 8.59 × 104
8000 2.72 9.82 × 104
9000 3.06 1.10 × 105
1.00 × 104 3.40 1.23 × 105
2.00 × 104 6.80 2.45 × 105
2.42 × 104 8.23 2.97 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.0333 676
40.0 0.0430 873
50.0 0.0537 1090
60.0 0.0645 1310
70.0 0.0752 1530
80.0 0.0860 1750
90.0 0.0967 1960
100 0.107 2180
200 0.215 4360
300 0.322 6550
400 0.430 8730
500 0.537 1.09 × 104
600 0.645 1.31 × 104
700 0.752 1.53 × 104
800 0.860 1.75 × 104
900 0.967 1.96 × 104
1000 1.07 2.18 × 104
2000 2.15 4.36 × 104
3000 3.22 6.55 × 104
4000 4.30 8.73 × 104
5000 5.37 1.09 × 105
6000 6.45 1.31 × 105
7000 7.52 1.53 × 105
7450 8.00 1.62 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.0813 1060
40.0 0.105 1360
50.0 0.131 1700
60.0 0.157 2050
70.0 0.184 2390
80.0 0.210 2730
90.0 0.236 3070
100 0.262 3410
200 0.525 6820
300 0.787 1.02 × 104
400 1.05 1.36 × 104
500 1.31 1.70 × 104
600 1.57 2.05 × 104
700 1.84 2.39 × 104
800 2.10 2.73 × 104
900 2.36 3.07 × 104
1000 2.62 3.41 × 104
2000 5.25 6.82 × 104
3000 7.87 1.02 × 105
3050 8.00 1.04 × 105
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.169 1520
40.0 0.218 1960
50.0 0.272 2450
60.0 0.326 2950
70.0 0.381 3440
80.0 0.435 3930
90.0 0.490 4420
100 0.544 4910
200 1.09 9820
300 1.63 1.47 × 104
400 2.18 1.96 × 104
500 2.72 2.45 × 104
600 3.26 2.95 × 104
700 3.81 3.44 × 104
800 4.35 3.93 × 104
900 4.90 4.42 × 104
1000 5.44 4.91 × 104
1470 8.00 7.22 × 104
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 0.533 2710
40.0 0.688 3490
50.0 0.860 4360
60.0 1.03 5240
70.0 1.20 6110
80.0 1.38 6980
90.0 1.55 7850
100 1.72 8730
200 3.44 1.75 × 104
300 5.16 2.62 × 104
400 6.88 3.49 × 104
465 8.00 4.06 × 104
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 1.30 4230
40.0 1.68 5450
50.0 2.10 6820
60.0 2.52 8180
70.0 2.94 9550
80.0 3.36 1.09 × 104
90.0 3.78 1.23 × 104
100 4.20 1.36 × 104
191 8.00 2.60 × 104
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 2.70 6090
40.0 3.48 7850
50.0 4.35 9820
60.0 5.22 1.18 × 104
70.0 6.09 1.37 × 104
80.0 6.96 1.57 × 104
90.0 7.83 1.77 × 104
91.9 8.00 1.80 × 104
Steel I Beam: W8 × 31 (Wide Flange 8 inch tall × 31 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
31.0 5.00 8290
40.0 6.45 1.07 × 104
49.6 8.00 1.33 × 104
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