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Wide Flange Steel I Beam: W12 × 22
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 125 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 3.38 × 10-6 11.7
30.0 4.60 × 10-6 16.0
40.0 6.14 × 10-6 21.3
50.0 7.67 × 10-6 26.6
60.0 9.21 × 10-6 32.0
70.0 1.07 × 10-5 37.3
80.0 1.23 × 10-5 42.6
90.0 1.38 × 10-5 47.9
100 1.53 × 10-5 53.3
200 3.07 × 10-5 107
300 4.60 × 10-5 160
400 6.14 × 10-5 213
500 7.67 × 10-5 266
600 9.21 × 10-5 320
700 1.07 × 10-4 373
800 1.23 × 10-4 426
900 1.38 × 10-4 479
1000 1.53 × 10-4 533
2000 3.07 × 10-4 1070
3000 4.60 × 10-4 1600
4000 6.14 × 10-4 2130
5000 7.67 × 10-4 2660
6000 9.21 × 10-4 3200
7000 0.00107 3730
8000 0.00123 4260
9000 0.00138 4790
1.00 × 104 0.00153 5330
2.00 × 104 0.00307 1.07 × 104
3.00 × 104 0.00460 1.60 × 104
4.00 × 104 0.00614 2.13 × 104
5.00 × 104 0.00767 2.66 × 104
6.00 × 104 0.00921 3.20 × 104
7.00 × 104 0.0107 3.73 × 104
8.00 × 104 0.0123 4.26 × 104
9.00 × 104 0.0138 4.79 × 104
1.00 × 105 0.0153 5.33 × 104
2.00 × 105 0.0307 1.07 × 105
3.00 × 105 0.0460 1.60 × 105
4.00 × 105 0.0614 2.13 × 105
5.00 × 105 0.0767 2.66 × 105
5.58 × 105 0.0856 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 2.60 × 10-5 32.6
30.0 3.55 × 10-5 44.4
40.0 4.74 × 10-5 59.2
50.0 5.92 × 10-5 74.0
60.0 7.10 × 10-5 88.8
70.0 8.29 × 10-5 104
80.0 9.47 × 10-5 118
90.0 1.07 × 10-4 133
100 1.18 × 10-4 148
200 2.37 × 10-4 296
300 3.55 × 10-4 444
400 4.74 × 10-4 592
500 5.92 × 10-4 740
600 7.10 × 10-4 888
700 8.29 × 10-4 1040
800 9.47 × 10-4 1180
900 0.00107 1330
1000 0.00118 1480
2000 0.00237 2960
3000 0.00355 4440
4000 0.00474 5920
5000 0.00592 7400
6000 0.00710 8880
7000 0.00829 1.04 × 104
8000 0.00947 1.18 × 104
9000 0.0107 1.33 × 104
1.00 × 104 0.0118 1.48 × 104
2.00 × 104 0.0237 2.96 × 104
3.00 × 104 0.0355 4.44 × 104
4.00 × 104 0.0474 5.92 × 104
5.00 × 104 0.0592 7.40 × 104
6.00 × 104 0.0710 8.88 × 104
7.00 × 104 0.0829 1.04 × 105
8.00 × 104 0.0947 1.18 × 105
9.00 × 104 0.107 1.33 × 105
1.00 × 105 0.118 1.48 × 105
2.00 × 105 0.237 2.96 × 105
2.01 × 105 0.238 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 4.17 × 10-4 130
30.0 5.68 × 10-4 178
40.0 7.58 × 10-4 237
50.0 9.47 × 10-4 296
60.0 0.00114 355
70.0 0.00133 414
80.0 0.00152 473
90.0 0.00170 533
100 0.00189 592
200 0.00379 1180
300 0.00568 1780
400 0.00758 2370
500 0.00947 2960
600 0.0114 3550
700 0.0133 4140
800 0.0152 4730
900 0.0170 5330
1000 0.0189 5920
2000 0.0379 1.18 × 104
3000 0.0568 1.78 × 104
4000 0.0758 2.37 × 104
5000 0.0947 2.96 × 104
6000 0.114 3.55 × 104
7000 0.133 4.14 × 104
8000 0.152 4.73 × 104
9000 0.170 5.33 × 104
1.00 × 104 0.189 5.92 × 104
2.00 × 104 0.379 1.18 × 105
3.00 × 104 0.568 1.78 × 105
4.00 × 104 0.758 2.37 × 105
5.00 × 104 0.947 2.96 × 105
5.02 × 104 0.951 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 0.00211 293
30.0 0.00288 399
40.0 0.00384 533
50.0 0.00479 666
60.0 0.00575 799
70.0 0.00671 932
80.0 0.00767 1070
90.0 0.00863 1200
100 0.00959 1330
200 0.0192 2660
300 0.0288 3990
400 0.0384 5330
500 0.0479 6660
600 0.0575 7990
700 0.0671 9320
800 0.0767 1.07 × 104
900 0.0863 1.20 × 104
1000 0.0959 1.33 × 104
2000 0.192 2.66 × 104
3000 0.288 3.99 × 104
4000 0.384 5.33 × 104
5000 0.479 6.66 × 104
6000 0.575 7.99 × 104
7000 0.671 9.32 × 104
8000 0.767 1.07 × 105
9000 0.863 1.20 × 105
1.00 × 104 0.959 1.33 × 105
2.00 × 104 1.92 2.66 × 105
2.23 × 104 2.14 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 0.00667 521
30.0 0.00909 710
40.0 0.0121 947
50.0 0.0152 1180
60.0 0.0182 1420
70.0 0.0212 1660
80.0 0.0242 1890
90.0 0.0273 2130
100 0.0303 2370
200 0.0606 4730
300 0.0909 7100
400 0.121 9470
500 0.152 1.18 × 104
600 0.182 1.42 × 104
700 0.212 1.66 × 104
800 0.242 1.89 × 104
900 0.273 2.13 × 104
1000 0.303 2.37 × 104
2000 0.606 4.73 × 104
3000 0.909 7.10 × 104
4000 1.21 9.47 × 104
5000 1.52 1.18 × 105
6000 1.82 1.42 × 105
7000 2.12 1.66 × 105
8000 2.42 1.89 × 105
9000 2.73 2.13 × 105
1.00 × 104 3.03 2.37 × 105
1.25 × 104 3.80 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 0.0163 814
30.0 0.0222 1110
40.0 0.0296 1480
50.0 0.0370 1850
60.0 0.0444 2220
70.0 0.0518 2590
80.0 0.0592 2960
90.0 0.0666 3330
100 0.0740 3700
200 0.148 7400
300 0.222 1.11 × 104
400 0.296 1.48 × 104
500 0.370 1.85 × 104
600 0.444 2.22 × 104
700 0.518 2.59 × 104
800 0.592 2.96 × 104
900 0.666 3.33 × 104
1000 0.740 3.70 × 104
2000 1.48 7.40 × 104
3000 2.22 1.11 × 105
4000 2.96 1.48 × 105
5000 3.70 1.85 × 105
6000 4.44 2.22 × 105
7000 5.18 2.59 × 105
8000 5.92 2.96 × 105
8030 5.94 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 0.0338 1170
30.0 0.0460 1600
40.0 0.0614 2130
50.0 0.0767 2660
60.0 0.0921 3200
70.0 0.107 3730
80.0 0.123 4260
90.0 0.138 4790
100 0.153 5330
200 0.307 1.07 × 104
300 0.460 1.60 × 104
400 0.614 2.13 × 104
500 0.767 2.66 × 104
600 0.921 3.20 × 104
700 1.07 3.73 × 104
800 1.23 4.26 × 104
900 1.38 4.79 × 104
1000 1.53 5.33 × 104
2000 3.07 1.07 × 105
3000 4.60 1.60 × 105
4000 6.14 2.13 × 105
5000 7.67 2.66 × 105
5580 8.56 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 0.107 2080
30.0 0.145 2840
40.0 0.194 3790
50.0 0.242 4730
60.0 0.291 5680
70.0 0.339 6630
80.0 0.388 7580
90.0 0.436 8520
100 0.485 9470
200 0.970 1.89 × 104
300 1.45 2.84 × 104
400 1.94 3.79 × 104
500 2.42 4.73 × 104
600 2.91 5.68 × 104
700 3.39 6.63 × 104
800 3.88 7.58 × 104
900 4.36 8.52 × 104
1000 4.85 9.47 × 104
2000 9.70 1.89 × 105
2540 12.3 2.40 × 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 0.260 3260
30.0 0.355 4440
40.0 0.474 5920
50.0 0.592 7400
60.0 0.710 8880
70.0 0.829 1.04 × 104
80.0 0.947 1.18 × 104
90.0 1.07 1.33 × 104
100 1.18 1.48 × 104
200 2.37 2.96 × 104
300 3.55 4.44 × 104
400 4.74 5.92 × 104
500 5.92 7.40 × 104
600 7.10 8.88 × 104
700 8.29 1.04 × 105
800 9.47 1.18 × 105
900 10.7 1.33 × 105
1000 11.8 1.48 × 105
1040 12.3 1.54 × 105
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 0.540 4690
30.0 0.736 6390
40.0 0.982 8520
50.0 1.23 1.07 × 104
60.0 1.47 1.28 × 104
70.0 1.72 1.49 × 104
80.0 1.96 1.70 × 104
90.0 2.21 1.92 × 104
100 2.45 2.13 × 104
200 4.91 4.26 × 104
300 7.36 6.39 × 104
400 9.82 8.52 × 104
500 12.3 1.07 × 105
501 12.3 1.07 × 105
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 1.00 6380
30.0 1.36 8700
40.0 1.82 1.16 × 104
50.0 2.27 1.45 × 104
60.0 2.73 1.74 × 104
70.0 3.18 2.03 × 104
80.0 3.64 2.32 × 104
90.0 4.09 2.61 × 104
100 4.55 2.90 × 104
200 9.10 5.80 × 104
271 12.3 7.85 × 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 1.71 8330
30.0 2.33 1.14 × 104
40.0 3.10 1.52 × 104
50.0 3.88 1.89 × 104
60.0 4.66 2.27 × 104
70.0 5.43 2.65 × 104
80.0 6.21 3.03 × 104
90.0 6.98 3.41 × 104
100 7.76 3.79 × 104
159 12.3 6.01 × 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 2.73 1.05 × 104
30.0 3.73 1.44 × 104
40.0 4.97 1.92 × 104
50.0 6.21 2.40 × 104
60.0 7.46 2.88 × 104
70.0 8.70 3.36 × 104
80.0 9.94 3.84 × 104
90.0 11.2 4.31 × 104
99.1 12.3 4.75 × 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 4.17 1.30 × 104
30.0 5.68 1.78 × 104
40.0 7.58 2.37 × 104
50.0 9.47 2.96 × 104
60.0 11.4 3.55 × 104
65.0 12.3 3.85 × 104
Steel I Beam: W12 × 22 (Wide Flange 12 inch tall × 22 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
22.0 10.2 2.03 × 104
26.6 12.3 2.46 × 104
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