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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 22
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 = 156 in4) for the W12 × 22 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: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 4.41 × 10-6 9.37
30.0 6.01 × 10-6 12.8
40.0 8.01 × 10-6 17.0
50.0 1.00 × 10-5 21.3
60.0 1.20 × 10-5 25.6
70.0 1.40 × 10-5 29.8
80.0 1.60 × 10-5 34.1
90.0 1.80 × 10-5 38.4
100 2.00 × 10-5 42.6
200 4.01 × 10-5 85.2
300 6.01 × 10-5 128
400 8.01 × 10-5 170
500 1.00 × 10-4 213
600 1.20 × 10-4 256
700 1.40 × 10-4 298
800 1.60 × 10-4 341
900 1.80 × 10-4 384
1000 2.00 × 10-4 426
2000 4.01 × 10-4 852
3000 6.01 × 10-4 1280
4000 8.01 × 10-4 1700
5000 0.00100 2130
6000 0.00120 2560
7000 0.00140 2980
8000 0.00160 3410
9000 0.00180 3840
1.00 × 104 0.00200 4260
2.00 × 104 0.00401 8520
3.00 × 104 0.00601 1.28 × 104
4.00 × 104 0.00801 1.70 × 104
5.00 × 104 0.0100 2.13 × 104
6.00 × 104 0.0120 2.56 × 104
7.00 × 104 0.0140 2.98 × 104
8.00 × 104 0.0160 3.41 × 104
9.00 × 104 0.0180 3.84 × 104
1.00 × 105 0.0200 4.26 × 104
2.00 × 105 0.0401 8.52 × 104
3.00 × 105 0.0601 1.28 × 105
4.00 × 105 0.0801 1.70 × 105
5.00 × 105 0.100 2.13 × 105
6.00 × 105 0.120 2.56 × 105
6.97 × 105 0.140 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 3.40 × 10-5 26.0
30.0 4.64 × 10-5 35.5
40.0 6.18 × 10-5 47.3
50.0 7.73 × 10-5 59.2
60.0 9.27 × 10-5 71.0
70.0 1.08 × 10-4 82.9
80.0 1.24 × 10-4 94.7
90.0 1.39 × 10-4 107
100 1.55 × 10-4 118
200 3.09 × 10-4 237
300 4.64 × 10-4 355
400 6.18 × 10-4 473
500 7.73 × 10-4 592
600 9.27 × 10-4 710
700 0.00108 829
800 0.00124 947
900 0.00139 1070
1000 0.00155 1180
2000 0.00309 2370
3000 0.00464 3550
4000 0.00618 4730
5000 0.00773 5920
6000 0.00927 7100
7000 0.0108 8290
8000 0.0124 9470
9000 0.0139 1.07 × 104
1.00 × 104 0.0155 1.18 × 104
2.00 × 104 0.0309 2.37 × 104
3.00 × 104 0.0464 3.55 × 104
4.00 × 104 0.0618 4.73 × 104
5.00 × 104 0.0773 5.92 × 104
6.00 × 104 0.0927 7.10 × 104
7.00 × 104 0.108 8.29 × 104
8.00 × 104 0.124 9.47 × 104
9.00 × 104 0.139 1.07 × 105
1.00 × 105 0.155 1.18 × 105
2.00 × 105 0.309 2.37 × 105
2.51 × 105 0.388 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 5.44 × 10-4 104
30.0 7.42 × 10-4 142
40.0 9.89 × 10-4 189
50.0 0.00124 237
60.0 0.00148 284
70.0 0.00173 331
80.0 0.00198 379
90.0 0.00223 426
100 0.00247 473
200 0.00495 947
300 0.00742 1420
400 0.00989 1890
500 0.0124 2370
600 0.0148 2840
700 0.0173 3310
800 0.0198 3790
900 0.0223 4260
1000 0.0247 4730
2000 0.0495 9470
3000 0.0742 1.42 × 104
4000 0.0989 1.89 × 104
5000 0.124 2.37 × 104
6000 0.148 2.84 × 104
7000 0.173 3.31 × 104
8000 0.198 3.79 × 104
9000 0.223 4.26 × 104
1.00 × 104 0.247 4.73 × 104
2.00 × 104 0.495 9.47 × 104
3.00 × 104 0.742 1.42 × 105
4.00 × 104 0.989 1.89 × 105
5.00 × 104 1.24 2.37 × 105
6.00 × 104 1.48 2.84 × 105
6.27 × 104 1.55 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.00275 234
30.0 0.00376 320
40.0 0.00501 426
50.0 0.00626 533
60.0 0.00751 639
70.0 0.00876 746
80.0 0.0100 852
90.0 0.0113 959
100 0.0125 1070
200 0.0250 2130
300 0.0376 3200
400 0.0501 4260
500 0.0626 5330
600 0.0751 6390
700 0.0876 7460
800 0.100 8520
900 0.113 9590
1000 0.125 1.07 × 104
2000 0.250 2.13 × 104
3000 0.376 3.20 × 104
4000 0.501 4.26 × 104
5000 0.626 5.33 × 104
6000 0.751 6.39 × 104
7000 0.876 7.46 × 104
8000 1.00 8.52 × 104
9000 1.13 9.59 × 104
1.00 × 104 1.25 1.07 × 105
2.00 × 104 2.50 2.13 × 105
2.79 × 104 3.49 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.00871 417
30.0 0.0119 568
40.0 0.0158 758
50.0 0.0198 947
60.0 0.0237 1140
70.0 0.0277 1330
80.0 0.0317 1520
90.0 0.0356 1700
100 0.0396 1890
200 0.0791 3790
300 0.119 5680
400 0.158 7580
500 0.198 9470
600 0.237 1.14 × 104
700 0.277 1.33 × 104
800 0.317 1.52 × 104
900 0.356 1.70 × 104
1000 0.396 1.89 × 104
2000 0.791 3.79 × 104
3000 1.19 5.68 × 104
4000 1.58 7.58 × 104
5000 1.98 9.47 × 104
6000 2.37 1.14 × 105
7000 2.77 1.33 × 105
8000 3.17 1.52 × 105
9000 3.56 1.70 × 105
1.00 × 104 3.96 1.89 × 105
1.57 × 104 6.21 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.0213 651
30.0 0.0290 888
40.0 0.0386 1180
50.0 0.0483 1480
60.0 0.0580 1780
70.0 0.0676 2070
80.0 0.0773 2370
90.0 0.0869 2660
100 0.0966 2960
200 0.193 5920
300 0.290 8880
400 0.386 1.18 × 104
500 0.483 1.48 × 104
600 0.580 1.78 × 104
700 0.676 2.07 × 104
800 0.773 2.37 × 104
900 0.869 2.66 × 104
1000 0.966 2.96 × 104
2000 1.93 5.92 × 104
3000 2.90 8.88 × 104
4000 3.86 1.18 × 105
5000 4.83 1.48 × 105
6000 5.80 1.78 × 105
7000 6.76 2.07 × 105
8000 7.73 2.37 × 105
9000 8.69 2.66 × 105
1.00 × 104 9.66 2.96 × 105
1.00 × 104 9.70 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.0441 937
30.0 0.0601 1280
40.0 0.0801 1700
50.0 0.100 2130
60.0 0.120 2560
70.0 0.140 2980
80.0 0.160 3410
90.0 0.180 3840
100 0.200 4260
200 0.401 8520
300 0.601 1.28 × 104
400 0.801 1.70 × 104
500 1.00 2.13 × 104
600 1.20 2.56 × 104
700 1.40 2.98 × 104
800 1.60 3.41 × 104
900 1.80 3.84 × 104
1000 2.00 4.26 × 104
2000 4.01 8.52 × 104
3000 6.01 1.28 × 105
4000 8.01 1.70 × 105
5000 10.0 2.13 × 105
6000 12.0 2.56 × 105
6970 14.0 2.97 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.139 1670
30.0 0.190 2270
40.0 0.253 3030
50.0 0.317 3790
60.0 0.380 4550
70.0 0.443 5300
80.0 0.506 6060
90.0 0.570 6820
100 0.633 7580
200 1.27 1.52 × 104
300 1.90 2.27 × 104
400 2.53 3.03 × 104
500 3.17 3.79 × 104
600 3.80 4.55 × 104
700 4.43 5.30 × 104
800 5.06 6.06 × 104
900 5.70 6.82 × 104
1000 6.33 7.58 × 104
1940 12.3 1.47 × 105
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.340 2600
30.0 0.464 3550
40.0 0.618 4730
50.0 0.773 5920
60.0 0.927 7100
70.0 1.08 8290
80.0 1.24 9470
90.0 1.39 1.07 × 104
100 1.55 1.18 × 104
200 3.09 2.37 × 104
300 4.64 3.55 × 104
400 6.18 4.73 × 104
500 7.73 5.92 × 104
600 9.27 7.10 × 104
700 10.8 8.29 × 104
796 12.3 9.43 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 0.705 3750
30.0 0.962 5110
40.0 1.28 6820
50.0 1.60 8520
60.0 1.92 1.02 × 104
70.0 2.24 1.19 × 104
80.0 2.56 1.36 × 104
90.0 2.88 1.53 × 104
100 3.21 1.70 × 104
200 6.41 3.41 × 104
300 9.62 5.11 × 104
384 12.3 6.55 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 1.31 5100
30.0 1.78 6960
40.0 2.38 9280
50.0 2.97 1.16 × 104
60.0 3.56 1.39 × 104
70.0 4.16 1.62 × 104
80.0 4.75 1.86 × 104
90.0 5.34 2.09 × 104
100 5.94 2.32 × 104
200 11.9 4.64 × 104
207 12.3 4.81 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 2.23 6670
30.0 3.04 9090
40.0 4.05 1.21 × 104
50.0 5.06 1.52 × 104
60.0 6.08 1.82 × 104
70.0 7.09 2.12 × 104
80.0 8.10 2.42 × 104
90.0 9.12 2.73 × 104
100 10.1 3.03 × 104
122 12.3 3.68 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 3.57 8440
30.0 4.87 1.15 × 104
40.0 6.49 1.53 × 104
50.0 8.11 1.92 × 104
60.0 9.74 2.30 × 104
70.0 11.4 2.68 × 104
75.9 12.3 2.91 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 5.44 1.04 × 104
30.0 7.42 1.42 × 104
40.0 9.89 1.89 × 104
49.8 12.3 2.36 × 104
Additional Information
Related Pages
FREE Publications
CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more publications