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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W16 × 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 = 954 in4) for the W16 × 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
L = 125 ft
L = 150 ft
  
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 2.03 × 10-6 6.63
70.0 2.12 × 10-6 6.93
80.0 2.43 × 10-6 7.92
90.0 2.73 × 10-6 8.91
100 3.03 × 10-6 9.90
200 6.07 × 10-6 19.8
300 9.10 × 10-6 29.7
400 1.21 × 10-5 39.6
500 1.52 × 10-5 49.5
600 1.82 × 10-5 59.4
700 2.12 × 10-5 69.3
800 2.43 × 10-5 79.2
900 2.73 × 10-5 89.1
1000 3.03 × 10-5 99.0
2000 6.07 × 10-5 198
3000 9.10 × 10-5 297
4000 1.21 × 10-4 396
5000 1.52 × 10-4 495
6000 1.82 × 10-4 594
7000 2.12 × 10-4 693
8000 2.43 × 10-4 792
9000 2.73 × 10-4 891
1.00 × 104 3.03 × 10-4 990
2.00 × 104 6.07 × 10-4 1980
3.00 × 104 9.10 × 10-4 2970
4.00 × 104 0.00121 3960
5.00 × 104 0.00152 4950
6.00 × 104 0.00182 5940
7.00 × 104 0.00212 6930
8.00 × 104 0.00243 7920
9.00 × 104 0.00273 8910
1.00 × 105 0.00303 9900
2.00 × 105 0.00607 1.98 × 104
3.00 × 105 0.00910 2.97 × 104
4.00 × 105 0.0121 3.96 × 104
5.00 × 105 0.0152 4.95 × 104
6.00 × 105 0.0182 5.94 × 104
7.00 × 105 0.0212 6.93 × 104
8.00 × 105 0.0243 7.92 × 104
9.00 × 105 0.0273 8.91 × 104
1.00 × 106 0.0303 9.90 × 104
2.00 × 106 0.0607 1.98 × 105
3.00 × 106 0.0910 2.97 × 105
3.00 × 106 0.0911 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 1.57 × 10-5 18.4
70.0 1.64 × 10-5 19.2
80.0 1.87 × 10-5 22.0
90.0 2.11 × 10-5 24.7
100 2.34 × 10-5 27.5
200 4.68 × 10-5 55.0
300 7.02 × 10-5 82.5
400 9.37 × 10-5 110
500 1.17 × 10-4 137
600 1.40 × 10-4 165
700 1.64 × 10-4 192
800 1.87 × 10-4 220
900 2.11 × 10-4 247
1000 2.34 × 10-4 275
2000 4.68 × 10-4 550
3000 7.02 × 10-4 825
4000 9.37 × 10-4 1100
5000 0.00117 1370
6000 0.00140 1650
7000 0.00164 1920
8000 0.00187 2200
9000 0.00211 2470
1.00 × 104 0.00234 2750
2.00 × 104 0.00468 5500
3.00 × 104 0.00702 8250
4.00 × 104 0.00937 1.10 × 104
5.00 × 104 0.0117 1.37 × 104
6.00 × 104 0.0140 1.65 × 104
7.00 × 104 0.0164 1.92 × 104
8.00 × 104 0.0187 2.20 × 104
9.00 × 104 0.0211 2.47 × 104
1.00 × 105 0.0234 2.75 × 104
2.00 × 105 0.0468 5.50 × 104
3.00 × 105 0.0702 8.25 × 104
4.00 × 105 0.0937 1.10 × 105
5.00 × 105 0.117 1.37 × 105
6.00 × 105 0.140 1.65 × 105
7.00 × 105 0.164 1.92 × 105
8.00 × 105 0.187 2.20 × 105
9.00 × 105 0.211 2.47 × 105
1.00 × 106 0.234 2.75 × 105
1.08 × 106 0.253 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 2.51 × 10-4 73.7
70.0 2.62 × 10-4 77.0
80.0 3.00 × 10-4 88.0
90.0 3.37 × 10-4 99.0
100 3.75 × 10-4 110
200 7.49 × 10-4 220
300 0.00112 330
400 0.00150 440
500 0.00187 550
600 0.00225 660
700 0.00262 770
800 0.00300 880
900 0.00337 990
1000 0.00375 1100
2000 0.00749 2200
3000 0.0112 3300
4000 0.0150 4400
5000 0.0187 5500
6000 0.0225 6600
7000 0.0262 7700
8000 0.0300 8800
9000 0.0337 9900
1.00 × 104 0.0375 1.10 × 104
2.00 × 104 0.0749 2.20 × 104
3.00 × 104 0.112 3.30 × 104
4.00 × 104 0.150 4.40 × 104
5.00 × 104 0.187 5.50 × 104
6.00 × 104 0.225 6.60 × 104
7.00 × 104 0.262 7.70 × 104
8.00 × 104 0.300 8.80 × 104
9.00 × 104 0.337 9.90 × 104
1.00 × 105 0.375 1.10 × 105
2.00 × 105 0.749 2.20 × 105
2.70 × 105 1.01 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.00127 166
70.0 0.00133 173
80.0 0.00152 198
90.0 0.00171 223
100 0.00190 247
200 0.00379 495
300 0.00569 742
400 0.00759 990
500 0.00948 1240
600 0.0114 1480
700 0.0133 1730
800 0.0152 1980
900 0.0171 2230
1000 0.0190 2470
2000 0.0379 4950
3000 0.0569 7420
4000 0.0759 9900
5000 0.0948 1.24 × 104
6000 0.114 1.48 × 104
7000 0.133 1.73 × 104
8000 0.152 1.98 × 104
9000 0.171 2.23 × 104
1.00 × 104 0.190 2.47 × 104
2.00 × 104 0.379 4.95 × 104
3.00 × 104 0.569 7.42 × 104
4.00 × 104 0.759 9.90 × 104
5.00 × 104 0.948 1.24 × 105
6.00 × 104 1.14 1.48 × 105
7.00 × 104 1.33 1.73 × 105
8.00 × 104 1.52 1.98 × 105
9.00 × 104 1.71 2.23 × 105
1.00 × 105 1.90 2.47 × 105
1.20 × 105 2.28 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.00402 295
70.0 0.00420 308
80.0 0.00480 352
90.0 0.00540 396
100 0.00599 440
200 0.0120 880
300 0.0180 1320
400 0.0240 1760
500 0.0300 2200
600 0.0360 2640
700 0.0420 3080
800 0.0480 3520
900 0.0540 3960
1000 0.0599 4400
2000 0.120 8800
3000 0.180 1.32 × 104
4000 0.240 1.76 × 104
5000 0.300 2.20 × 104
6000 0.360 2.64 × 104
7000 0.420 3.08 × 104
8000 0.480 3.52 × 104
9000 0.540 3.96 × 104
1.00 × 104 0.599 4.40 × 104
2.00 × 104 1.20 8.80 × 104
3.00 × 104 1.80 1.32 × 105
4.00 × 104 2.40 1.76 × 105
5.00 × 104 3.00 2.20 × 105
6.00 × 104 3.60 2.64 × 105
6.75 × 104 4.05 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.00981 461
70.0 0.0102 481
80.0 0.0117 550
90.0 0.0132 619
100 0.0146 687
200 0.0293 1370
300 0.0439 2060
400 0.0585 2750
500 0.0732 3440
600 0.0878 4120
700 0.102 4810
800 0.117 5500
900 0.132 6190
1000 0.146 6870
2000 0.293 1.37 × 104
3000 0.439 2.06 × 104
4000 0.585 2.75 × 104
5000 0.732 3.44 × 104
6000 0.878 4.12 × 104
7000 1.02 4.81 × 104
8000 1.17 5.50 × 104
9000 1.32 6.19 × 104
1.00 × 104 1.46 6.87 × 104
2.00 × 104 2.93 1.37 × 105
3.00 × 104 4.39 2.06 × 105
4.00 × 104 5.85 2.75 × 105
4.32 × 104 6.32 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.0203 663
70.0 0.0212 693
80.0 0.0243 792
90.0 0.0273 891
100 0.0303 990
200 0.0607 1980
300 0.0910 2970
400 0.121 3960
500 0.152 4950
600 0.182 5940
700 0.212 6930
800 0.243 7920
900 0.273 8910
1000 0.303 9900
2000 0.607 1.98 × 104
3000 0.910 2.97 × 104
4000 1.21 3.96 × 104
5000 1.52 4.95 × 104
6000 1.82 5.94 × 104
7000 2.12 6.93 × 104
8000 2.43 7.92 × 104
9000 2.73 8.91 × 104
1.00 × 104 3.03 9.90 × 104
2.00 × 104 6.07 1.98 × 105
3.00 × 104 9.10 2.97 × 105
3.00 × 104 9.11 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.0643 1180
70.0 0.0671 1230
80.0 0.0767 1410
90.0 0.0863 1580
100 0.0959 1760
200 0.192 3520
300 0.288 5280
400 0.384 7040
500 0.480 8800
600 0.575 1.06 × 104
700 0.671 1.23 × 104
800 0.767 1.41 × 104
900 0.863 1.58 × 104
1000 0.959 1.76 × 104
2000 1.92 3.52 × 104
3000 2.88 5.28 × 104
4000 3.84 7.04 × 104
5000 4.80 8.80 × 104
6000 5.75 1.06 × 105
7000 6.71 1.23 × 105
8000 7.67 1.41 × 105
9000 8.63 1.58 × 105
1.00 × 104 9.59 1.76 × 105
1.69 × 104 16.2 2.97 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.157 1840
70.0 0.164 1920
80.0 0.187 2200
90.0 0.211 2470
100 0.234 2750
200 0.468 5500
300 0.702 8250
400 0.937 1.10 × 104
500 1.17 1.37 × 104
600 1.40 1.65 × 104
700 1.64 1.92 × 104
800 1.87 2.20 × 104
900 2.11 2.47 × 104
1000 2.34 2.75 × 104
2000 4.68 5.50 × 104
3000 7.02 8.25 × 104
4000 9.37 1.10 × 105
5000 11.7 1.37 × 105
6000 14.0 1.65 × 105
6970 16.3 1.92 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.325 2650
70.0 0.340 2770
80.0 0.388 3170
90.0 0.437 3560
100 0.486 3960
200 0.971 7920
300 1.46 1.19 × 104
400 1.94 1.58 × 104
500 2.43 1.98 × 104
600 2.91 2.38 × 104
700 3.40 2.77 × 104
800 3.88 3.17 × 104
900 4.37 3.56 × 104
1000 4.86 3.96 × 104
2000 9.71 7.92 × 104
3000 14.6 1.19 × 105
3360 16.3 1.33 × 105
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 0.603 3610
70.0 0.630 3770
80.0 0.720 4310
90.0 0.810 4850
100 0.900 5390
200 1.80 1.08 × 104
300 2.70 1.62 × 104
400 3.60 2.16 × 104
500 4.50 2.69 × 104
600 5.40 3.23 × 104
700 6.30 3.77 × 104
800 7.20 4.31 × 104
900 8.10 4.85 × 104
1000 9.00 5.39 × 104
1820 16.3 9.78 × 104
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 1.03 4720
70.0 1.07 4930
80.0 1.23 5630
90.0 1.38 6340
100 1.53 7040
200 3.07 1.41 × 104
300 4.60 2.11 × 104
400 6.14 2.82 × 104
500 7.67 3.52 × 104
600 9.21 4.22 × 104
700 10.7 4.93 × 104
800 12.3 5.63 × 104
900 13.8 6.34 × 104
1000 15.3 7.04 × 104
1060 16.3 7.49 × 104
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 1.65 5970
70.0 1.72 6240
80.0 1.97 7130
90.0 2.21 8020
100 2.46 8910
200 4.92 1.78 × 104
300 7.37 2.67 × 104
400 9.83 3.56 × 104
500 12.3 4.45 × 104
600 14.7 5.35 × 104
664 16.3 5.92 × 104
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 2.51 7370
70.0 2.62 7700
80.0 3.00 8800
90.0 3.37 9900
100 3.75 1.10 × 104
200 7.49 2.20 × 104
300 11.2 3.30 × 104
400 15.0 4.40 × 104
436 16.3 4.79 × 104
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 6.13 1.15 × 104
70.0 6.40 1.20 × 104
80.0 7.32 1.37 × 104
90.0 8.23 1.55 × 104
100 9.15 1.72 × 104
179 16.3 3.07 × 104
Steel I Beam: W16 × 67 (Wide Flange 16 inch tall × 67 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
67.0 12.7 1.66 × 104
70.0 13.3 1.73 × 104
80.0 15.2 1.98 × 104
86.1 16.3 2.13 × 104
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