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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 4.08 × 10-6 10.0
30.0 5.57 × 10-6 13.7
40.0 7.42 × 10-6 18.3
50.0 9.28 × 10-6 22.8
60.0 1.11 × 10-5 27.4
70.0 1.30 × 10-5 31.9
80.0 1.48 × 10-5 36.5
90.0 1.67 × 10-5 41.1
100 1.86 × 10-5 45.6
200 3.71 × 10-5 91.3
300 5.57 × 10-5 137
400 7.42 × 10-5 183
500 9.28 × 10-5 228
600 1.11 × 10-4 274
700 1.30 × 10-4 319
800 1.48 × 10-4 365
900 1.67 × 10-4 411
1000 1.86 × 10-4 456
2000 3.71 × 10-4 913
3000 5.57 × 10-4 1370
4000 7.42 × 10-4 1830
5000 9.28 × 10-4 2280
6000 0.00111 2740
7000 0.00130 3190
8000 0.00148 3650
9000 0.00167 4110
1.00 × 104 0.00186 4560
2.00 × 104 0.00371 9130
3.00 × 104 0.00557 1.37 × 104
4.00 × 104 0.00742 1.83 × 104
5.00 × 104 0.00928 2.28 × 104
6.00 × 104 0.0111 2.74 × 104
7.00 × 104 0.0130 3.19 × 104
8.00 × 104 0.0148 3.65 × 104
9.00 × 104 0.0167 4.11 × 104
1.00 × 105 0.0186 4.56 × 104
2.00 × 105 0.0371 9.13 × 104
3.00 × 105 0.0557 1.37 × 105
4.00 × 105 0.0742 1.83 × 105
5.00 × 105 0.0928 2.28 × 105
6.00 × 105 0.111 2.74 × 105
6.51 × 105 0.121 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 3.15 × 10-5 27.9
30.0 4.30 × 10-5 38.0
40.0 5.73 × 10-5 50.7
50.0 7.16 × 10-5 63.4
60.0 8.59 × 10-5 76.1
70.0 1.00 × 10-4 88.7
80.0 1.15 × 10-4 101
90.0 1.29 × 10-4 114
100 1.43 × 10-4 127
200 2.86 × 10-4 254
300 4.30 × 10-4 380
400 5.73 × 10-4 507
500 7.16 × 10-4 634
600 8.59 × 10-4 761
700 0.00100 887
800 0.00115 1010
900 0.00129 1140
1000 0.00143 1270
2000 0.00286 2540
3000 0.00430 3800
4000 0.00573 5070
5000 0.00716 6340
6000 0.00859 7610
7000 0.0100 8870
8000 0.0115 1.01 × 104
9000 0.0129 1.14 × 104
1.00 × 104 0.0143 1.27 × 104
2.00 × 104 0.0286 2.54 × 104
3.00 × 104 0.0430 3.80 × 104
4.00 × 104 0.0573 5.07 × 104
5.00 × 104 0.0716 6.34 × 104
6.00 × 104 0.0859 7.61 × 104
7.00 × 104 0.100 8.87 × 104
8.00 × 104 0.115 1.01 × 105
9.00 × 104 0.129 1.14 × 105
1.00 × 105 0.143 1.27 × 105
2.00 × 105 0.286 2.54 × 105
2.34 × 105 0.336 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 5.04 × 10-4 112
30.0 6.87 × 10-4 152
40.0 9.16 × 10-4 203
50.0 0.00115 254
60.0 0.00137 304
70.0 0.00160 355
80.0 0.00183 406
90.0 0.00206 456
100 0.00229 507
200 0.00458 1010
300 0.00687 1520
400 0.00916 2030
500 0.0115 2540
600 0.0137 3040
700 0.0160 3550
800 0.0183 4060
900 0.0206 4560
1000 0.0229 5070
2000 0.0458 1.01 × 104
3000 0.0687 1.52 × 104
4000 0.0916 2.03 × 104
5000 0.115 2.54 × 104
6000 0.137 3.04 × 104
7000 0.160 3.55 × 104
8000 0.183 4.06 × 104
9000 0.206 4.56 × 104
1.00 × 104 0.229 5.07 × 104
2.00 × 104 0.458 1.01 × 105
3.00 × 104 0.687 1.52 × 105
4.00 × 104 0.916 2.03 × 105
5.00 × 104 1.15 2.54 × 105
5.86 × 104 1.34 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 0.00255 251
30.0 0.00348 342
40.0 0.00464 456
50.0 0.00580 570
60.0 0.00696 685
70.0 0.00812 799
80.0 0.00928 913
90.0 0.0104 1030
100 0.0116 1140
200 0.0232 2280
300 0.0348 3420
400 0.0464 4560
500 0.0580 5700
600 0.0696 6850
700 0.0812 7990
800 0.0928 9130
900 0.104 1.03 × 104
1000 0.116 1.14 × 104
2000 0.232 2.28 × 104
3000 0.348 3.42 × 104
4000 0.464 4.56 × 104
5000 0.580 5.70 × 104
6000 0.696 6.85 × 104
7000 0.812 7.99 × 104
8000 0.928 9.13 × 104
9000 1.04 1.03 × 105
1.00 × 104 1.16 1.14 × 105
2.00 × 104 2.32 2.28 × 105
2.60 × 104 3.02 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 0.00806 446
30.0 0.0110 608
40.0 0.0147 811
50.0 0.0183 1010
60.0 0.0220 1220
70.0 0.0257 1420
80.0 0.0293 1620
90.0 0.0330 1830
100 0.0367 2030
200 0.0733 4060
300 0.110 6080
400 0.147 8110
500 0.183 1.01 × 104
600 0.220 1.22 × 104
700 0.257 1.42 × 104
800 0.293 1.62 × 104
900 0.330 1.83 × 104
1000 0.367 2.03 × 104
2000 0.733 4.06 × 104
3000 1.10 6.08 × 104
4000 1.47 8.11 × 104
5000 1.83 1.01 × 105
6000 2.20 1.22 × 105
7000 2.57 1.42 × 105
8000 2.93 1.62 × 105
9000 3.30 1.83 × 105
1.00 × 104 3.67 2.03 × 105
1.46 × 104 5.37 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 0.0197 697
30.0 0.0268 951
40.0 0.0358 1270
50.0 0.0447 1580
60.0 0.0537 1900
70.0 0.0626 2220
80.0 0.0716 2540
90.0 0.0805 2850
100 0.0895 3170
200 0.179 6340
300 0.268 9510
400 0.358 1.27 × 104
500 0.447 1.58 × 104
600 0.537 1.90 × 104
700 0.626 2.22 × 104
800 0.716 2.54 × 104
900 0.805 2.85 × 104
1000 0.895 3.17 × 104
2000 1.79 6.34 × 104
3000 2.68 9.51 × 104
4000 3.58 1.27 × 105
5000 4.47 1.58 × 105
6000 5.37 1.90 × 105
7000 6.26 2.22 × 105
8000 7.16 2.54 × 105
9000 8.05 2.85 × 105
9370 8.39 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 0.0408 1000
30.0 0.0557 1370
40.0 0.0742 1830
50.0 0.0928 2280
60.0 0.111 2740
70.0 0.130 3190
80.0 0.148 3650
90.0 0.167 4110
100 0.186 4560
200 0.371 9130
300 0.557 1.37 × 104
400 0.742 1.83 × 104
500 0.928 2.28 × 104
600 1.11 2.74 × 104
700 1.30 3.19 × 104
800 1.48 3.65 × 104
900 1.67 4.11 × 104
1000 1.86 4.56 × 104
2000 3.71 9.13 × 104
3000 5.57 1.37 × 105
4000 7.42 1.83 × 105
5000 9.28 2.28 × 105
6000 11.1 2.74 × 105
6510 12.1 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 0.129 1780
30.0 0.176 2430
40.0 0.235 3250
50.0 0.293 4060
60.0 0.352 4870
70.0 0.411 5680
80.0 0.469 6490
90.0 0.528 7300
100 0.587 8110
200 1.17 1.62 × 104
300 1.76 2.43 × 104
400 2.35 3.25 × 104
500 2.93 4.06 × 104
600 3.52 4.87 × 104
700 4.11 5.68 × 104
800 4.69 6.49 × 104
900 5.28 7.30 × 104
1000 5.87 8.11 × 104
2000 11.7 1.62 × 105
2100 12.3 1.70 × 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 0.315 2790
30.0 0.430 3800
40.0 0.573 5070
50.0 0.716 6340
60.0 0.859 7610
70.0 1.00 8870
80.0 1.15 1.01 × 104
90.0 1.29 1.14 × 104
100 1.43 1.27 × 104
200 2.86 2.54 × 104
300 4.30 3.80 × 104
400 5.73 5.07 × 104
500 7.16 6.34 × 104
600 8.59 7.61 × 104
700 10.0 8.87 × 104
800 11.5 1.01 × 105
860 12.3 1.09 × 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 0.653 4020
30.0 0.891 5480
40.0 1.19 7300
50.0 1.48 9130
60.0 1.78 1.10 × 104
70.0 2.08 1.28 × 104
80.0 2.38 1.46 × 104
90.0 2.67 1.64 × 104
100 2.97 1.83 × 104
200 5.94 3.65 × 104
300 8.91 5.48 × 104
400 11.9 7.30 × 104
415 12.3 7.57 × 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 1.21 5470
30.0 1.65 7450
40.0 2.20 9940
50.0 2.75 1.24 × 104
60.0 3.30 1.49 × 104
70.0 3.85 1.74 × 104
80.0 4.40 1.99 × 104
90.0 4.95 2.24 × 104
100 5.50 2.48 × 104
200 11.0 4.97 × 104
224 12.3 5.56 × 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 2.06 7140
30.0 2.82 9740
40.0 3.75 1.30 × 104
50.0 4.69 1.62 × 104
60.0 5.63 1.95 × 104
70.0 6.57 2.27 × 104
80.0 7.51 2.60 × 104
90.0 8.45 2.92 × 104
100 9.38 3.25 × 104
131 12.3 4.26 × 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 3.31 9040
30.0 4.51 1.23 × 104
40.0 6.01 1.64 × 104
50.0 7.52 2.05 × 104
60.0 9.02 2.46 × 104
70.0 10.5 2.88 × 104
80.0 12.0 3.29 × 104
81.9 12.3 3.36 × 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 5.04 1.12 × 104
30.0 6.87 1.52 × 104
40.0 9.16 2.03 × 104
50.0 11.5 2.54 × 104
53.7 12.3 2.72 × 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 12.3 1.74 × 104
22.0 12.3 1.74 × 104
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