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Wide Flange Steel I Beam: W16 × 67
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 2.19 × 10-6 6.19
70.0 2.29 × 10-6 6.47
80.0 2.62 × 10-6 7.39
90.0 2.95 × 10-6 8.32
100 3.28 × 10-6 9.24
200 6.55 × 10-6 18.5
300 9.83 × 10-6 27.7
400 1.31 × 10-5 37.0
500 1.64 × 10-5 46.2
600 1.97 × 10-5 55.5
700 2.29 × 10-5 64.7
800 2.62 × 10-5 73.9
900 2.95 × 10-5 83.2
1000 3.28 × 10-5 92.4
2000 6.55 × 10-5 185
3000 9.83 × 10-5 277
4000 1.31 × 10-4 370
5000 1.64 × 10-4 462
6000 1.97 × 10-4 555
7000 2.29 × 10-4 647
8000 2.62 × 10-4 739
9000 2.95 × 10-4 832
1.00 × 104 3.28 × 10-4 924
2.00 × 104 6.55 × 10-4 1850
3.00 × 104 9.83 × 10-4 2770
4.00 × 104 0.00131 3700
5.00 × 104 0.00164 4620
6.00 × 104 0.00197 5550
7.00 × 104 0.00229 6470
8.00 × 104 0.00262 7390
9.00 × 104 0.00295 8320
1.00 × 105 0.00328 9240
2.00 × 105 0.00655 1.85 × 104
3.00 × 105 0.00983 2.77 × 104
4.00 × 105 0.0131 3.70 × 104
5.00 × 105 0.0164 4.62 × 104
6.00 × 105 0.0197 5.55 × 104
7.00 × 105 0.0229 6.47 × 104
8.00 × 105 0.0262 7.39 × 104
9.00 × 105 0.0295 8.32 × 104
1.00 × 106 0.0328 9.24 × 104
2.00 × 106 0.0655 1.85 × 105
3.00 × 106 0.0983 2.77 × 105
3.21 × 106 0.105 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 1.69 × 10-5 17.2
70.0 1.77 × 10-5 18.0
80.0 2.02 × 10-5 20.5
90.0 2.27 × 10-5 23.1
100 2.53 × 10-5 25.7
200 5.05 × 10-5 51.4
300 7.58 × 10-5 77.0
400 1.01 × 10-4 103
500 1.26 × 10-4 128
600 1.52 × 10-4 154
700 1.77 × 10-4 180
800 2.02 × 10-4 205
900 2.27 × 10-4 231
1000 2.53 × 10-4 257
2000 5.05 × 10-4 514
3000 7.58 × 10-4 770
4000 0.00101 1030
5000 0.00126 1280
6000 0.00152 1540
7000 0.00177 1800
8000 0.00202 2050
9000 0.00227 2310
1.00 × 104 0.00253 2570
2.00 × 104 0.00505 5140
3.00 × 104 0.00758 7700
4.00 × 104 0.0101 1.03 × 104
5.00 × 104 0.0126 1.28 × 104
6.00 × 104 0.0152 1.54 × 104
7.00 × 104 0.0177 1.80 × 104
8.00 × 104 0.0202 2.05 × 104
9.00 × 104 0.0227 2.31 × 104
1.00 × 105 0.0253 2.57 × 104
2.00 × 105 0.0505 5.14 × 104
3.00 × 105 0.0758 7.70 × 104
4.00 × 105 0.101 1.03 × 105
5.00 × 105 0.126 1.28 × 105
6.00 × 105 0.152 1.54 × 105
7.00 × 105 0.177 1.80 × 105
8.00 × 105 0.202 2.05 × 105
9.00 × 105 0.227 2.31 × 105
1.00 × 106 0.253 2.57 × 105
1.16 × 106 0.292 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 2.71 × 10-4 68.8
70.0 2.83 × 10-4 71.9
80.0 3.24 × 10-4 82.2
90.0 3.64 × 10-4 92.4
100 4.04 × 10-4 103
200 8.09 × 10-4 205
300 0.00121 308
400 0.00162 411
500 0.00202 514
600 0.00243 616
700 0.00283 719
800 0.00324 822
900 0.00364 924
1000 0.00404 1030
2000 0.00809 2050
3000 0.0121 3080
4000 0.0162 4110
5000 0.0202 5140
6000 0.0243 6160
7000 0.0283 7190
8000 0.0324 8220
9000 0.0364 9240
1.00 × 104 0.0404 1.03 × 104
2.00 × 104 0.0809 2.05 × 104
3.00 × 104 0.121 3.08 × 104
4.00 × 104 0.162 4.11 × 104
5.00 × 104 0.202 5.14 × 104
6.00 × 104 0.243 6.16 × 104
7.00 × 104 0.283 7.19 × 104
8.00 × 104 0.324 8.22 × 104
9.00 × 104 0.364 9.24 × 104
1.00 × 105 0.404 1.03 × 105
2.00 × 105 0.809 2.05 × 105
2.89 × 105 1.17 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 0.00137 155
70.0 0.00143 162
80.0 0.00164 185
90.0 0.00184 208
100 0.00205 231
200 0.00409 462
300 0.00614 693
400 0.00819 924
500 0.0102 1160
600 0.0123 1390
700 0.0143 1620
800 0.0164 1850
900 0.0184 2080
1000 0.0205 2310
2000 0.0409 4620
3000 0.0614 6930
4000 0.0819 9240
5000 0.102 1.16 × 104
6000 0.123 1.39 × 104
7000 0.143 1.62 × 104
8000 0.164 1.85 × 104
9000 0.184 2.08 × 104
1.00 × 104 0.205 2.31 × 104
2.00 × 104 0.409 4.62 × 104
3.00 × 104 0.614 6.93 × 104
4.00 × 104 0.819 9.24 × 104
5.00 × 104 1.02 1.16 × 105
6.00 × 104 1.23 1.39 × 105
7.00 × 104 1.43 1.62 × 105
8.00 × 104 1.64 1.85 × 105
9.00 × 104 1.84 2.08 × 105
1.00 × 105 2.05 2.31 × 105
1.29 × 105 2.63 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 0.00434 275
70.0 0.00453 288
80.0 0.00518 329
90.0 0.00582 370
100 0.00647 411
200 0.0129 822
300 0.0194 1230
400 0.0259 1640
500 0.0324 2050
600 0.0388 2460
700 0.0453 2880
800 0.0518 3290
900 0.0582 3700
1000 0.0647 4110
2000 0.129 8220
3000 0.194 1.23 × 104
4000 0.259 1.64 × 104
5000 0.324 2.05 × 104
6000 0.388 2.46 × 104
7000 0.453 2.88 × 104
8000 0.518 3.29 × 104
9000 0.582 3.70 × 104
1.00 × 104 0.647 4.11 × 104
2.00 × 104 1.29 8.22 × 104
3.00 × 104 1.94 1.23 × 105
4.00 × 104 2.59 1.64 × 105
5.00 × 104 3.24 2.05 × 105
6.00 × 104 3.88 2.46 × 105
7.00 × 104 4.53 2.88 × 105
7.23 × 104 4.68 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 0.0106 430
70.0 0.0111 449
80.0 0.0126 514
90.0 0.0142 578
100 0.0158 642
200 0.0316 1280
300 0.0474 1930
400 0.0632 2570
500 0.0790 3210
600 0.0948 3850
700 0.111 4490
800 0.126 5140
900 0.142 5780
1000 0.158 6420
2000 0.316 1.28 × 104
3000 0.474 1.93 × 104
4000 0.632 2.57 × 104
5000 0.790 3.21 × 104
6000 0.948 3.85 × 104
7000 1.11 4.49 × 104
8000 1.26 5.14 × 104
9000 1.42 5.78 × 104
1.00 × 104 1.58 6.42 × 104
2.00 × 104 3.16 1.28 × 105
3.00 × 104 4.74 1.93 × 105
4.00 × 104 6.32 2.57 × 105
4.63 × 104 7.31 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 0.0219 619
70.0 0.0229 647
80.0 0.0262 739
90.0 0.0295 832
100 0.0328 924
200 0.0655 1850
300 0.0983 2770
400 0.131 3700
500 0.164 4620
600 0.197 5550
700 0.229 6470
800 0.262 7390
900 0.295 8320
1000 0.328 9240
2000 0.655 1.85 × 104
3000 0.983 2.77 × 104
4000 1.31 3.70 × 104
5000 1.64 4.62 × 104
6000 1.97 5.55 × 104
7000 2.29 6.47 × 104
8000 2.62 7.39 × 104
9000 2.95 8.32 × 104
1.00 × 104 3.28 9.24 × 104
2.00 × 104 6.55 1.85 × 105
3.00 × 104 9.83 2.77 × 105
3.21 × 104 10.5 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 0.0694 1100
70.0 0.0725 1150
80.0 0.0828 1310
90.0 0.0932 1480
100 0.104 1640
200 0.207 3290
300 0.311 4930
400 0.414 6570
500 0.518 8220
600 0.621 9860
700 0.725 1.15 × 104
800 0.828 1.31 × 104
900 0.932 1.48 × 104
1000 1.04 1.64 × 104
2000 2.07 3.29 × 104
3000 3.11 4.93 × 104
4000 4.14 6.57 × 104
5000 5.18 8.22 × 104
6000 6.21 9.86 × 104
7000 7.25 1.15 × 105
8000 8.28 1.31 × 105
9000 9.32 1.48 × 105
1.00 × 104 10.4 1.64 × 105
1.81 × 104 18.7 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 0.169 1720
70.0 0.177 1800
80.0 0.202 2050
90.0 0.227 2310
100 0.253 2570
200 0.505 5140
300 0.758 7700
400 1.01 1.03 × 104
500 1.26 1.28 × 104
600 1.52 1.54 × 104
700 1.77 1.80 × 104
800 2.02 2.05 × 104
900 2.27 2.31 × 104
1000 2.53 2.57 × 104
2000 5.05 5.14 × 104
3000 7.58 7.70 × 104
4000 10.1 1.03 × 105
5000 12.6 1.28 × 105
6000 15.2 1.54 × 105
6460 16.3 1.66 × 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 0.351 2480
70.0 0.367 2590
80.0 0.419 2960
90.0 0.472 3330
100 0.524 3700
200 1.05 7390
300 1.57 1.11 × 104
400 2.10 1.48 × 104
500 2.62 1.85 × 104
600 3.14 2.22 × 104
700 3.67 2.59 × 104
800 4.19 2.96 × 104
900 4.72 3.33 × 104
1000 5.24 3.70 × 104
2000 10.5 7.39 × 104
3000 15.7 1.11 × 105
3120 16.3 1.15 × 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 0.651 3370
70.0 0.680 3520
80.0 0.777 4030
90.0 0.874 4530
100 0.971 5030
200 1.94 1.01 × 104
300 2.91 1.51 × 104
400 3.88 2.01 × 104
500 4.85 2.52 × 104
600 5.83 3.02 × 104
700 6.80 3.52 × 104
800 7.77 4.03 × 104
900 8.74 4.53 × 104
1000 9.71 5.03 × 104
1680 16.3 8.46 × 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 1.11 4400
70.0 1.16 4600
80.0 1.33 5260
90.0 1.49 5920
100 1.66 6570
200 3.31 1.31 × 104
300 4.97 1.97 × 104
400 6.63 2.63 × 104
500 8.28 3.29 × 104
600 9.94 3.94 × 104
700 11.6 4.60 × 104
800 13.3 5.26 × 104
900 14.9 5.92 × 104
986 16.3 6.48 × 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 1.78 5570
70.0 1.86 5820
80.0 2.12 6660
90.0 2.39 7490
100 2.65 8320
200 5.31 1.66 × 104
300 7.96 2.50 × 104
400 10.6 3.33 × 104
500 13.3 4.16 × 104
600 15.9 4.99 × 104
615 16.3 5.12 × 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 2.71 6880
70.0 2.83 7190
80.0 3.24 8220
90.0 3.64 9240
100 4.04 1.03 × 104
200 8.09 2.05 × 104
300 12.1 3.08 × 104
400 16.2 4.11 × 104
404 16.3 4.15 × 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 6.61 1.08 × 104
70.0 6.91 1.12 × 104
80.0 7.90 1.28 × 104
90.0 8.89 1.44 × 104
100 9.87 1.60 × 104
165 16.3 2.65 × 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 13.7 1.55 × 104
70.0 14.3 1.62 × 104
79.8 16.3 1.84 × 104
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