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Wide Flange Steel I Beam: W8 × 67
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W8 × 67
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 272 in4) for the W8 × 67 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
   
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 7.13 × 10-6 12.8
70.0 7.45 × 10-6 13.4
80.0 8.52 × 10-6 15.3
90.0 9.58 × 10-6 17.2
100 1.06 × 10-5 19.1
200 2.13 × 10-5 38.3
300 3.19 × 10-5 57.4
400 4.26 × 10-5 76.5
500 5.32 × 10-5 95.7
600 6.39 × 10-5 115
700 7.45 × 10-5 134
800 8.52 × 10-5 153
900 9.58 × 10-5 172
1000 1.06 × 10-4 191
2000 2.13 × 10-4 383
3000 3.19 × 10-4 574
4000 4.26 × 10-4 765
5000 5.32 × 10-4 957
6000 6.39 × 10-4 1150
7000 7.45 × 10-4 1340
8000 8.52 × 10-4 1530
9000 9.58 × 10-4 1720
1.00 × 104 0.00106 1910
2.00 × 104 0.00213 3830
3.00 × 104 0.00319 5740
4.00 × 104 0.00426 7650
5.00 × 104 0.00532 9570
6.00 × 104 0.00639 1.15 × 104
7.00 × 104 0.00745 1.34 × 104
8.00 × 104 0.00852 1.53 × 104
9.00 × 104 0.00958 1.72 × 104
1.00 × 105 0.0106 1.91 × 104
2.00 × 105 0.0213 3.83 × 104
3.00 × 105 0.0319 5.74 × 104
4.00 × 105 0.0426 7.65 × 104
5.00 × 105 0.0532 9.57 × 104
6.00 × 105 0.0639 1.15 × 105
7.00 × 105 0.0745 1.34 × 105
8.00 × 105 0.0852 1.53 × 105
9.00 × 105 0.0958 1.72 × 105
1.00 × 106 0.106 1.91 × 105
1.55 × 106 0.165 2.97 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 5.50 × 10-5 35.6
70.0 5.75 × 10-5 37.2
80.0 6.57 × 10-5 42.5
90.0 7.39 × 10-5 47.8
100 8.21 × 10-5 53.2
200 1.64 × 10-4 106
300 2.46 × 10-4 159
400 3.29 × 10-4 213
500 4.11 × 10-4 266
600 4.93 × 10-4 319
700 5.75 × 10-4 372
800 6.57 × 10-4 425
900 7.39 × 10-4 478
1000 8.21 × 10-4 532
2000 0.00164 1060
3000 0.00246 1590
4000 0.00329 2130
5000 0.00411 2660
6000 0.00493 3190
7000 0.00575 3720
8000 0.00657 4250
9000 0.00739 4780
1.00 × 104 0.00821 5320
2.00 × 104 0.0164 1.06 × 104
3.00 × 104 0.0246 1.59 × 104
4.00 × 104 0.0329 2.13 × 104
5.00 × 104 0.0411 2.66 × 104
6.00 × 104 0.0493 3.19 × 104
7.00 × 104 0.0575 3.72 × 104
8.00 × 104 0.0657 4.25 × 104
9.00 × 104 0.0739 4.78 × 104
1.00 × 105 0.0821 5.32 × 104
2.00 × 105 0.164 1.06 × 105
3.00 × 105 0.246 1.59 × 105
4.00 × 105 0.329 2.13 × 105
5.00 × 105 0.411 2.66 × 105
5.59 × 105 0.459 2.97 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 8.80 × 10-4 142
70.0 9.20 × 10-4 149
80.0 0.00105 170
90.0 0.00118 191
100 0.00131 213
200 0.00263 425
300 0.00394 638
400 0.00526 851
500 0.00657 1060
600 0.00788 1280
700 0.00920 1490
800 0.0105 1700
900 0.0118 1910
1000 0.0131 2130
2000 0.0263 4250
3000 0.0394 6380
4000 0.0526 8500
5000 0.0657 1.06 × 104
6000 0.0788 1.28 × 104
7000 0.0920 1.49 × 104
8000 0.105 1.70 × 104
9000 0.118 1.91 × 104
1.00 × 104 0.131 2.13 × 104
2.00 × 104 0.263 4.25 × 104
3.00 × 104 0.394 6.38 × 104
4.00 × 104 0.526 8.51 × 104
5.00 × 104 0.657 1.06 × 105
6.00 × 104 0.788 1.28 × 105
7.00 × 104 0.920 1.49 × 105
8.00 × 104 1.05 1.70 × 105
9.00 × 104 1.18 1.91 × 105
1.00 × 105 1.31 2.13 × 105
1.40 × 105 1.84 2.97 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.00446 321
70.0 0.00466 335
80.0 0.00532 383
90.0 0.00599 431
100 0.00665 478
200 0.0133 957
300 0.0200 1440
400 0.0266 1910
500 0.0333 2390
600 0.0399 2870
700 0.0466 3350
800 0.0532 3830
900 0.0599 4310
1000 0.0665 4780
2000 0.133 9570
3000 0.200 1.44 × 104
4000 0.266 1.91 × 104
5000 0.333 2.39 × 104
6000 0.399 2.87 × 104
7000 0.466 3.35 × 104
8000 0.532 3.83 × 104
9000 0.599 4.31 × 104
1.00 × 104 0.665 4.78 × 104
2.00 × 104 1.33 9.57 × 104
3.00 × 104 2.00 1.44 × 105
4.00 × 104 2.66 1.91 × 105
5.00 × 104 3.33 2.39 × 105
6.00 × 104 3.99 2.87 × 105
6.21 × 104 4.13 2.97 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.0141 570
70.0 0.0147 595
80.0 0.0168 680
90.0 0.0189 765
100 0.0210 851
200 0.0420 1700
300 0.0631 2550
400 0.0841 3400
500 0.105 4250
600 0.126 5100
700 0.147 5950
800 0.168 6800
900 0.189 7650
1000 0.210 8500
2000 0.420 1.70 × 104
3000 0.631 2.55 × 104
4000 0.841 3.40 × 104
5000 1.05 4.25 × 104
6000 1.26 5.10 × 104
7000 1.47 5.95 × 104
8000 1.68 6.80 × 104
9000 1.89 7.65 × 104
1.00 × 104 2.10 8.51 × 104
2.00 × 104 4.20 1.70 × 105
3.00 × 104 6.31 2.55 × 105
3.49 × 104 7.34 2.97 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.0344 890
70.0 0.0359 930
80.0 0.0411 1060
90.0 0.0462 1200
100 0.0513 1330
200 0.103 2660
300 0.154 3990
400 0.205 5320
500 0.257 6640
600 0.308 7970
700 0.359 9300
800 0.411 1.06 × 104
900 0.462 1.20 × 104
1000 0.513 1.33 × 104
2000 1.03 2.66 × 104
3000 1.54 3.99 × 104
4000 2.05 5.32 × 104
5000 2.57 6.64 × 104
6000 3.08 7.97 × 104
7000 3.59 9.30 × 104
8000 4.11 1.06 × 105
9000 4.62 1.20 × 105
1.00 × 104 5.13 1.33 × 105
1.75 × 104 9.00 2.33 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.0713 1280
70.0 0.0745 1340
80.0 0.0852 1530
90.0 0.0958 1720
100 0.106 1910
200 0.213 3830
300 0.319 5740
400 0.426 7650
500 0.532 9570
600 0.639 1.15 × 104
700 0.745 1.34 × 104
800 0.852 1.53 × 104
900 0.958 1.72 × 104
1000 1.06 1.91 × 104
2000 2.13 3.83 × 104
3000 3.19 5.74 × 104
4000 4.26 7.65 × 104
5000 5.32 9.57 × 104
6000 6.39 1.15 × 105
7000 7.45 1.34 × 105
8000 8.52 1.53 × 105
8460 9.00 1.62 × 105
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.225 2280
70.0 0.235 2380
80.0 0.269 2720
90.0 0.303 3060
100 0.336 3400
200 0.673 6800
300 1.01 1.02 × 104
400 1.35 1.36 × 104
500 1.68 1.70 × 104
600 2.02 2.04 × 104
700 2.35 2.38 × 104
800 2.69 2.72 × 104
900 3.03 3.06 × 104
1000 3.36 3.40 × 104
2000 6.73 6.80 × 104
2680 9.00 9.10 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.550 3560
70.0 0.575 3720
80.0 0.657 4250
90.0 0.739 4780
100 0.821 5320
200 1.64 1.06 × 104
300 2.46 1.59 × 104
400 3.29 2.13 × 104
500 4.11 2.66 × 104
600 4.93 3.19 × 104
700 5.75 3.72 × 104
800 6.57 4.25 × 104
900 7.39 4.78 × 104
1000 8.21 5.32 × 104
1100 9.00 5.83 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 1.14 5130
70.0 1.19 5360
80.0 1.36 6120
90.0 1.53 6890
100 1.70 7650
200 3.41 1.53 × 104
300 5.11 2.30 × 104
400 6.81 3.06 × 104
500 8.52 3.83 × 104
528 9.00 4.05 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 2.11 6980
70.0 2.21 7290
80.0 2.52 8330
90.0 2.84 9380
100 3.16 1.04 × 104
200 6.31 2.08 × 104
285 9.00 2.97 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 3.61 9120
70.0 3.77 9530
80.0 4.31 1.09 × 104
90.0 4.84 1.22 × 104
100 5.38 1.36 × 104
167 9.00 2.28 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 5.78 1.15 × 104
70.0 6.04 1.21 × 104
80.0 6.90 1.38 × 104
90.0 7.76 1.55 × 104
100 8.62 1.72 × 104
104 9.00 1.80 × 104
Steel I Beam: W8 × 67 (Wide Flange 8 inch tall × 67 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 8.80 1.42 × 104
68.5 9.00 1.46 × 104
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