Autonomous Vehicle Engineering

The No. 1 media source for those developing the next generation mobility solutions.

Machine Design

How-to, in-depth technical articles for machine design engineers

Design-2-Part

How OEM's can make their parts better, faster, and more efficient.

Laser Focus World

Semiconductors, medical equipment, lasers, optics and aviation and aerospace.

more free magazines

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
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 4.20 × 10-6 7.74
70.0 4.39 × 10-6 8.09
80.0 5.02 × 10-6 9.24
90.0 5.64 × 10-6 10.4
100 6.27 × 10-6 11.6
200 1.25 × 10-5 23.1
300 1.88 × 10-5 34.7
400 2.51 × 10-5 46.2
500 3.14 × 10-5 57.8
600 3.76 × 10-5 69.3
700 4.39 × 10-5 80.9
800 5.02 × 10-5 92.4
900 5.64 × 10-5 104
1000 6.27 × 10-5 116
2000 1.25 × 10-4 231
3000 1.88 × 10-4 347
4000 2.51 × 10-4 462
5000 3.14 × 10-4 578
6000 3.76 × 10-4 693
7000 4.39 × 10-4 809
8000 5.02 × 10-4 924
9000 5.64 × 10-4 1040
1.00 × 104 6.27 × 10-4 1160
2.00 × 104 0.00125 2310
3.00 × 104 0.00188 3470
4.00 × 104 0.00251 4620
5.00 × 104 0.00314 5780
6.00 × 104 0.00376 6930
7.00 × 104 0.00439 8090
8.00 × 104 0.00502 9240
9.00 × 104 0.00564 1.04 × 104
1.00 × 105 0.00627 1.16 × 104
2.00 × 105 0.0125 2.31 × 104
3.00 × 105 0.0188 3.47 × 104
4.00 × 105 0.0251 4.62 × 104
5.00 × 105 0.0314 5.78 × 104
6.00 × 105 0.0376 6.93 × 104
7.00 × 105 0.0439 8.09 × 104
8.00 × 105 0.0502 9.24 × 104
9.00 × 105 0.0564 1.04 × 105
1.00 × 106 0.0627 1.16 × 105
2.00 × 106 0.125 2.31 × 105
2.57 × 106 0.161 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 3.24 × 10-5 21.5
70.0 3.39 × 10-5 22.5
80.0 3.87 × 10-5 25.7
90.0 4.36 × 10-5 28.9
100 4.84 × 10-5 32.1
200 9.68 × 10-5 64.2
300 1.45 × 10-4 96.3
400 1.94 × 10-4 128
500 2.42 × 10-4 160
600 2.90 × 10-4 193
700 3.39 × 10-4 225
800 3.87 × 10-4 257
900 4.36 × 10-4 289
1000 4.84 × 10-4 321
2000 9.68 × 10-4 642
3000 0.00145 963
4000 0.00194 1280
5000 0.00242 1600
6000 0.00290 1930
7000 0.00339 2250
8000 0.00387 2570
9000 0.00436 2890
1.00 × 104 0.00484 3210
2.00 × 104 0.00968 6420
3.00 × 104 0.0145 9630
4.00 × 104 0.0194 1.28 × 104
5.00 × 104 0.0242 1.60 × 104
6.00 × 104 0.0290 1.93 × 104
7.00 × 104 0.0339 2.25 × 104
8.00 × 104 0.0387 2.57 × 104
9.00 × 104 0.0436 2.89 × 104
1.00 × 105 0.0484 3.21 × 104
2.00 × 105 0.0968 6.42 × 104
3.00 × 105 0.145 9.63 × 104
4.00 × 105 0.194 1.28 × 105
5.00 × 105 0.242 1.60 × 105
6.00 × 105 0.290 1.93 × 105
7.00 × 105 0.339 2.25 × 105
8.00 × 105 0.387 2.57 × 105
9.00 × 105 0.436 2.89 × 105
9.25 × 105 0.448 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 5.19 × 10-4 86.0
70.0 5.42 × 10-4 89.9
80.0 6.19 × 10-4 103
90.0 6.97 × 10-4 116
100 7.74 × 10-4 128
200 0.00155 257
300 0.00232 385
400 0.00310 514
500 0.00387 642
600 0.00465 770
700 0.00542 899
800 0.00619 1030
900 0.00697 1160
1000 0.00774 1280
2000 0.0155 2570
3000 0.0232 3850
4000 0.0310 5140
5000 0.0387 6420
6000 0.0465 7700
7000 0.0542 8990
8000 0.0619 1.03 × 104
9000 0.0697 1.16 × 104
1.00 × 104 0.0774 1.28 × 104
2.00 × 104 0.155 2.57 × 104
3.00 × 104 0.232 3.85 × 104
4.00 × 104 0.310 5.14 × 104
5.00 × 104 0.387 6.42 × 104
6.00 × 104 0.465 7.70 × 104
7.00 × 104 0.542 8.99 × 104
8.00 × 104 0.619 1.03 × 105
9.00 × 104 0.697 1.16 × 105
1.00 × 105 0.774 1.28 × 105
2.00 × 105 1.55 2.57 × 105
2.31 × 105 1.79 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 0.00263 194
70.0 0.00274 202
80.0 0.00314 231
90.0 0.00353 260
100 0.00392 289
200 0.00784 578
300 0.0118 867
400 0.0157 1160
500 0.0196 1440
600 0.0235 1730
700 0.0274 2020
800 0.0314 2310
900 0.0353 2600
1000 0.0392 2890
2000 0.0784 5780
3000 0.118 8670
4000 0.157 1.16 × 104
5000 0.196 1.44 × 104
6000 0.235 1.73 × 104
7000 0.274 2.02 × 104
8000 0.314 2.31 × 104
9000 0.353 2.60 × 104
1.00 × 104 0.392 2.89 × 104
2.00 × 104 0.784 5.78 × 104
3.00 × 104 1.18 8.67 × 104
4.00 × 104 1.57 1.16 × 105
5.00 × 104 1.96 1.44 × 105
6.00 × 104 2.35 1.73 × 105
7.00 × 104 2.74 2.02 × 105
8.00 × 104 3.14 2.31 × 105
9.00 × 104 3.53 2.60 × 105
1.00 × 105 3.92 2.89 × 105
1.03 × 105 4.03 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 0.00830 344
70.0 0.00867 359
80.0 0.00991 411
90.0 0.0112 462
100 0.0124 514
200 0.0248 1030
300 0.0372 1540
400 0.0496 2050
500 0.0619 2570
600 0.0743 3080
700 0.0867 3590
800 0.0991 4110
900 0.112 4620
1000 0.124 5140
2000 0.248 1.03 × 104
3000 0.372 1.54 × 104
4000 0.496 2.05 × 104
5000 0.619 2.57 × 104
6000 0.743 3.08 × 104
7000 0.867 3.59 × 104
8000 0.991 4.11 × 104
9000 1.12 4.62 × 104
1.00 × 104 1.24 5.14 × 104
2.00 × 104 2.48 1.03 × 105
3.00 × 104 3.72 1.54 × 105
4.00 × 104 4.96 2.05 × 105
5.00 × 104 6.19 2.57 × 105
5.78 × 104 7.17 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 0.0203 538
70.0 0.0212 562
80.0 0.0242 642
90.0 0.0272 722
100 0.0302 802
200 0.0605 1600
300 0.0907 2410
400 0.121 3210
500 0.151 4010
600 0.181 4810
700 0.212 5620
800 0.242 6420
900 0.272 7220
1000 0.302 8020
2000 0.605 1.60 × 104
3000 0.907 2.41 × 104
4000 1.21 3.21 × 104
5000 1.51 4.01 × 104
6000 1.81 4.81 × 104
7000 2.12 5.62 × 104
8000 2.42 6.42 × 104
9000 2.72 7.22 × 104
1.00 × 104 3.02 8.02 × 104
2.00 × 104 6.05 1.60 × 105
3.00 × 104 9.07 2.41 × 105
3.70 × 104 11.2 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 0.0420 774
70.0 0.0439 809
80.0 0.0502 924
90.0 0.0564 1040
100 0.0627 1160
200 0.125 2310
300 0.188 3470
400 0.251 4620
500 0.314 5780
600 0.376 6930
700 0.439 8090
800 0.502 9240
900 0.564 1.04 × 104
1000 0.627 1.16 × 104
2000 1.25 2.31 × 104
3000 1.88 3.47 × 104
4000 2.51 4.62 × 104
5000 3.14 5.78 × 104
6000 3.76 6.93 × 104
7000 4.39 8.09 × 104
8000 5.02 9.24 × 104
9000 5.64 1.04 × 105
1.00 × 104 6.27 1.16 × 105
2.00 × 104 12.5 2.31 × 105
2.57 × 104 16.1 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 0.133 1380
70.0 0.139 1440
80.0 0.159 1640
90.0 0.178 1850
100 0.198 2050
200 0.396 4110
300 0.595 6160
400 0.793 8220
500 0.991 1.03 × 104
600 1.19 1.23 × 104
700 1.39 1.44 × 104
800 1.59 1.64 × 104
900 1.78 1.85 × 104
1000 1.98 2.05 × 104
2000 3.96 4.11 × 104
3000 5.95 6.16 × 104
4000 7.93 8.22 × 104
5000 9.91 1.03 × 105
6000 11.9 1.23 × 105
7000 13.9 1.44 × 105
8000 15.9 1.64 × 105
8240 16.3 1.69 × 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 0.324 2150
70.0 0.339 2250
80.0 0.387 2570
90.0 0.436 2890
100 0.484 3210
200 0.968 6420
300 1.45 9630
400 1.94 1.28 × 104
500 2.42 1.60 × 104
600 2.90 1.93 × 104
700 3.39 2.25 × 104
800 3.87 2.57 × 104
900 4.36 2.89 × 104
1000 4.84 3.21 × 104
2000 9.68 6.42 × 104
3000 14.5 9.63 × 104
3370 16.3 1.08 × 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 0.672 3100
70.0 0.702 3240
80.0 0.803 3700
90.0 0.903 4160
100 1.00 4620
200 2.01 9240
300 3.01 1.39 × 104
400 4.01 1.85 × 104
500 5.02 2.31 × 104
600 6.02 2.77 × 104
700 7.02 3.24 × 104
800 8.03 3.70 × 104
900 9.03 4.16 × 104
1000 10.0 4.62 × 104
1630 16.3 7.52 × 104
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 1.25 4210
70.0 1.30 4400
80.0 1.49 5030
90.0 1.67 5660
100 1.86 6290
200 3.72 1.26 × 104
300 5.58 1.89 × 104
400 7.44 2.52 × 104
500 9.30 3.15 × 104
600 11.2 3.77 × 104
700 13.0 4.40 × 104
800 14.9 5.03 × 104
878 16.3 5.53 × 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 2.13 5500
70.0 2.22 5750
80.0 2.54 6570
90.0 2.85 7390
100 3.17 8220
200 6.34 1.64 × 104
300 9.52 2.46 × 104
400 12.7 3.29 × 104
500 15.9 4.11 × 104
515 16.3 4.23 × 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 3.40 6970
70.0 3.56 7280
80.0 4.06 8320
90.0 4.57 9360
100 5.08 1.04 × 104
200 10.2 2.08 × 104
300 15.2 3.12 × 104
321 16.3 3.34 × 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 5.19 8600
70.0 5.42 8990
80.0 6.19 1.03 × 104
90.0 6.97 1.16 × 104
100 7.74 1.28 × 104
200 15.5 2.57 × 104
211 16.3 2.71 × 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 12.7 1.34 × 104
70.0 13.2 1.40 × 104
80.0 15.1 1.60 × 104
86.4 16.3 1.73 × 104
Additional Information
Related Pages