engineering fundamentals
Wide Flange Steel I Beam: W8 × 67
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max 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 = 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
   
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 7.70 × 10-6 12.0
70.0 8.04 × 10-6 12.5
80.0 9.19 × 10-6 14.3
90.0 1.03 × 10-5 16.1
100 1.15 × 10-5 17.9
200 2.30 × 10-5 35.7
300 3.45 × 10-5 53.6
400 4.60 × 10-5 71.5
500 5.74 × 10-5 89.3
600 6.89 × 10-5 107
700 8.04 × 10-5 125
800 9.19 × 10-5 143
900 1.03 × 10-4 161
1000 1.15 × 10-4 179
2000 2.30 × 10-4 357
3000 3.45 × 10-4 536
4000 4.60 × 10-4 715
5000 5.74 × 10-4 893
6000 6.89 × 10-4 1070
7000 8.04 × 10-4 1250
8000 9.19 × 10-4 1430
9000 0.00103 1610
1.00 × 104 0.00115 1790
2.00 × 104 0.00230 3570
3.00 × 104 0.00345 5360
4.00 × 104 0.00460 7150
5.00 × 104 0.00574 8930
6.00 × 104 0.00689 1.07 × 104
7.00 × 104 0.00804 1.25 × 104
8.00 × 104 0.00919 1.43 × 104
9.00 × 104 0.0103 1.61 × 104
1.00 × 105 0.0115 1.79 × 104
2.00 × 105 0.0230 3.57 × 104
3.00 × 105 0.0345 5.36 × 104
4.00 × 105 0.0460 7.15 × 104
5.00 × 105 0.0574 8.93 × 104
6.00 × 105 0.0689 1.07 × 105
7.00 × 105 0.0804 1.25 × 105
8.00 × 105 0.0919 1.43 × 105
9.00 × 105 0.103 1.61 × 105
1.00 × 106 0.115 1.79 × 105
1.66 × 106 0.191 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 5.94 × 10-5 33.3
70.0 6.21 × 10-5 34.7
80.0 7.09 × 10-5 39.7
90.0 7.98 × 10-5 44.7
100 8.86 × 10-5 49.6
200 1.77 × 10-4 99.3
300 2.66 × 10-4 149
400 3.55 × 10-4 199
500 4.43 × 10-4 248
600 5.32 × 10-4 298
700 6.21 × 10-4 347
800 7.09 × 10-4 397
900 7.98 × 10-4 447
1000 8.86 × 10-4 496
2000 0.00177 993
3000 0.00266 1490
4000 0.00355 1990
5000 0.00443 2480
6000 0.00532 2980
7000 0.00621 3470
8000 0.00709 3970
9000 0.00798 4470
1.00 × 104 0.00886 4960
2.00 × 104 0.0177 9930
3.00 × 104 0.0266 1.49 × 104
4.00 × 104 0.0355 1.99 × 104
5.00 × 104 0.0443 2.48 × 104
6.00 × 104 0.0532 2.98 × 104
7.00 × 104 0.0621 3.47 × 104
8.00 × 104 0.0709 3.97 × 104
9.00 × 104 0.0798 4.47 × 104
1.00 × 105 0.0886 4.96 × 104
2.00 × 105 0.177 9.93 × 104
3.00 × 105 0.266 1.49 × 105
4.00 × 105 0.355 1.99 × 105
5.00 × 105 0.443 2.48 × 105
5.98 × 105 0.531 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 9.50 × 10-4 133
70.0 9.93 × 10-4 139
80.0 0.00113 159
90.0 0.00128 179
100 0.00142 199
200 0.00284 397
300 0.00426 596
400 0.00567 794
500 0.00709 993
600 0.00851 1190
700 0.00993 1390
800 0.0113 1590
900 0.0128 1790
1000 0.0142 1990
2000 0.0284 3970
3000 0.0426 5960
4000 0.0567 7940
5000 0.0709 9930
6000 0.0851 1.19 × 104
7000 0.0993 1.39 × 104
8000 0.113 1.59 × 104
9000 0.128 1.79 × 104
1.00 × 104 0.142 1.99 × 104
2.00 × 104 0.284 3.97 × 104
3.00 × 104 0.426 5.96 × 104
4.00 × 104 0.567 7.94 × 104
5.00 × 104 0.709 9.93 × 104
6.00 × 104 0.851 1.19 × 105
7.00 × 104 0.993 1.39 × 105
8.00 × 104 1.13 1.59 × 105
9.00 × 104 1.28 1.79 × 105
1.00 × 105 1.42 1.99 × 105
1.50 × 105 2.12 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 0.00481 299
70.0 0.00503 313
80.0 0.00574 357
90.0 0.00646 402
100 0.00718 447
200 0.0144 893
300 0.0215 1340
400 0.0287 1790
500 0.0359 2230
600 0.0431 2680
700 0.0503 3130
800 0.0574 3570
900 0.0646 4020
1000 0.0718 4470
2000 0.144 8930
3000 0.215 1.34 × 104
4000 0.287 1.79 × 104
5000 0.359 2.23 × 104
6000 0.431 2.68 × 104
7000 0.503 3.13 × 104
8000 0.574 3.57 × 104
9000 0.646 4.02 × 104
1.00 × 104 0.718 4.47 × 104
2.00 × 104 1.44 8.93 × 104
3.00 × 104 2.15 1.34 × 105
4.00 × 104 2.87 1.79 × 105
5.00 × 104 3.59 2.23 × 105
6.00 × 104 4.31 2.68 × 105
6.65 × 104 4.77 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 0.0152 532
70.0 0.0159 556
80.0 0.0182 635
90.0 0.0204 715
100 0.0227 794
200 0.0454 1590
300 0.0681 2380
400 0.0908 3180
500 0.113 3970
600 0.136 4760
700 0.159 5560
800 0.182 6350
900 0.204 7150
1000 0.227 7940
2000 0.454 1.59 × 104
3000 0.681 2.38 × 104
4000 0.908 3.18 × 104
5000 1.13 3.97 × 104
6000 1.36 4.76 × 104
7000 1.59 5.56 × 104
8000 1.82 6.35 × 104
9000 2.04 7.15 × 104
1.00 × 104 2.27 7.94 × 104
2.00 × 104 4.54 1.59 × 105
3.00 × 104 6.81 2.38 × 105
3.74 × 104 8.49 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 0.0371 831
70.0 0.0388 869
80.0 0.0443 993
90.0 0.0499 1120
100 0.0554 1240
200 0.111 2480
300 0.166 3720
400 0.222 4960
500 0.277 6200
600 0.332 7440
700 0.388 8690
800 0.443 9930
900 0.499 1.12 × 104
1000 0.554 1.24 × 104
2000 1.11 2.48 × 104
3000 1.66 3.72 × 104
4000 2.22 4.96 × 104
5000 2.77 6.20 × 104
6000 3.32 7.44 × 104
7000 3.88 8.69 × 104
8000 4.43 9.93 × 104
9000 4.99 1.12 × 105
1.00 × 104 5.54 1.24 × 105
1.62 × 104 9.00 2.02 × 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 0.0770 1200
70.0 0.0804 1250
80.0 0.0919 1430
90.0 0.103 1610
100 0.115 1790
200 0.230 3570
300 0.345 5360
400 0.460 7150
500 0.574 8930
600 0.689 1.07 × 104
700 0.804 1.25 × 104
800 0.919 1.43 × 104
900 1.03 1.61 × 104
1000 1.15 1.79 × 104
2000 2.30 3.57 × 104
3000 3.45 5.36 × 104
4000 4.60 7.15 × 104
5000 5.74 8.93 × 104
6000 6.89 1.07 × 105
7000 8.04 1.25 × 105
7830 9.00 1.40 × 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 0.243 2130
70.0 0.254 2220
80.0 0.290 2540
90.0 0.327 2860
100 0.363 3180
200 0.726 6350
300 1.09 9530
400 1.45 1.27 × 104
500 1.82 1.59 × 104
600 2.18 1.91 × 104
700 2.54 2.22 × 104
800 2.90 2.54 × 104
900 3.27 2.86 × 104
1000 3.63 3.18 × 104
2000 7.26 6.35 × 104
2480 9.00 7.87 × 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 0.594 3330
70.0 0.621 3470
80.0 0.709 3970
90.0 0.798 4470
100 0.886 4960
200 1.77 9930
300 2.66 1.49 × 104
400 3.55 1.99 × 104
500 4.43 2.48 × 104
600 5.32 2.98 × 104
700 6.21 3.47 × 104
800 7.09 3.97 × 104
900 7.98 4.47 × 104
1000 8.86 4.96 × 104
1020 9.00 5.04 × 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 1.23 4790
70.0 1.29 5000
80.0 1.47 5720
90.0 1.65 6430
100 1.84 7150
200 3.68 1.43 × 104
300 5.51 2.14 × 104
400 7.35 2.86 × 104
490 9.00 3.50 × 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 2.28 6520
70.0 2.38 6810
80.0 2.72 7780
90.0 3.06 8760
100 3.41 9730
200 6.81 1.95 × 104
264 9.00 2.57 × 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 3.89 8510
70.0 4.07 8890
80.0 4.65 1.02 × 104
90.0 5.23 1.14 × 104
100 5.81 1.27 × 104
155 9.00 1.97 × 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 6.23 1.08 × 104
70.0 6.51 1.13 × 104
80.0 7.44 1.29 × 104
90.0 8.38 1.45 × 104
96.7 9.00 1.56 × 104
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