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Wide Flange Steel I Beam: W12 × 72
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W12 × 72
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 = 597 in4) for the W12 × 72 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 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 2.89 × 10-6 9.97
80.0 3.21 × 10-6 11.1
90.0 3.61 × 10-6 12.5
100 4.01 × 10-6 13.9
200 8.02 × 10-6 27.7
300 1.20 × 10-5 41.6
400 1.60 × 10-5 55.4
500 2.00 × 10-5 69.3
600 2.41 × 10-5 83.1
700 2.81 × 10-5 97.0
800 3.21 × 10-5 111
900 3.61 × 10-5 125
1000 4.01 × 10-5 139
2000 8.02 × 10-5 277
3000 1.20 × 10-4 416
4000 1.60 × 10-4 554
5000 2.00 × 10-4 693
6000 2.41 × 10-4 831
7000 2.81 × 10-4 970
8000 3.21 × 10-4 1110
9000 3.61 × 10-4 1250
1.00 × 104 4.01 × 10-4 1390
2.00 × 104 8.02 × 10-4 2770
3.00 × 104 0.00120 4160
4.00 × 104 0.00160 5540
5.00 × 104 0.00200 6930
6.00 × 104 0.00241 8310
7.00 × 104 0.00281 9700
8.00 × 104 0.00321 1.11 × 104
9.00 × 104 0.00361 1.25 × 104
1.00 × 105 0.00401 1.39 × 104
2.00 × 105 0.00802 2.77 × 104
3.00 × 105 0.0120 4.16 × 104
4.00 × 105 0.0160 5.54 × 104
5.00 × 105 0.0200 6.93 × 104
6.00 × 105 0.0241 8.31 × 104
7.00 × 105 0.0281 9.70 × 104
8.00 × 105 0.0321 1.11 × 105
9.00 × 105 0.0361 1.25 × 105
1.00 × 106 0.0401 1.39 × 105
2.00 × 106 0.0802 2.77 × 105
2.14 × 106 0.0860 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 2.23 × 10-5 27.7
80.0 2.47 × 10-5 30.8
90.0 2.78 × 10-5 34.6
100 3.09 × 10-5 38.5
200 6.19 × 10-5 76.9
300 9.28 × 10-5 115
400 1.24 × 10-4 154
500 1.55 × 10-4 192
600 1.86 × 10-4 231
700 2.17 × 10-4 269
800 2.47 × 10-4 308
900 2.78 × 10-4 346
1000 3.09 × 10-4 385
2000 6.19 × 10-4 769
3000 9.28 × 10-4 1150
4000 0.00124 1540
5000 0.00155 1920
6000 0.00186 2310
7000 0.00217 2690
8000 0.00247 3080
9000 0.00278 3460
1.00 × 104 0.00309 3850
2.00 × 104 0.00619 7690
3.00 × 104 0.00928 1.15 × 104
4.00 × 104 0.0124 1.54 × 104
5.00 × 104 0.0155 1.92 × 104
6.00 × 104 0.0186 2.31 × 104
7.00 × 104 0.0217 2.69 × 104
8.00 × 104 0.0247 3.08 × 104
9.00 × 104 0.0278 3.46 × 104
1.00 × 105 0.0309 3.85 × 104
2.00 × 105 0.0619 7.69 × 104
3.00 × 105 0.0928 1.15 × 105
4.00 × 105 0.124 1.54 × 105
5.00 × 105 0.155 1.92 × 105
6.00 × 105 0.186 2.31 × 105
7.00 × 105 0.217 2.69 × 105
7.72 × 105 0.239 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 3.56 × 10-4 111
80.0 3.96 × 10-4 123
90.0 4.45 × 10-4 139
100 4.95 × 10-4 154
200 9.90 × 10-4 308
300 0.00148 462
400 0.00198 616
500 0.00247 769
600 0.00297 923
700 0.00346 1080
800 0.00396 1230
900 0.00445 1390
1000 0.00495 1540
2000 0.00990 3080
3000 0.0148 4620
4000 0.0198 6160
5000 0.0247 7690
6000 0.0297 9230
7000 0.0346 1.08 × 104
8000 0.0396 1.23 × 104
9000 0.0445 1.39 × 104
1.00 × 104 0.0495 1.54 × 104
2.00 × 104 0.0990 3.08 × 104
3.00 × 104 0.148 4.62 × 104
4.00 × 104 0.198 6.16 × 104
5.00 × 104 0.247 7.69 × 104
6.00 × 104 0.297 9.23 × 104
7.00 × 104 0.346 1.08 × 105
8.00 × 104 0.396 1.23 × 105
9.00 × 104 0.445 1.39 × 105
1.00 × 105 0.495 1.54 × 105
1.93 × 105 0.955 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.00180 249
80.0 0.00200 277
90.0 0.00226 312
100 0.00251 346
200 0.00501 693
300 0.00752 1040
400 0.0100 1390
500 0.0125 1730
600 0.0150 2080
700 0.0175 2420
800 0.0200 2770
900 0.0226 3120
1000 0.0251 3460
2000 0.0501 6930
3000 0.0752 1.04 × 104
4000 0.100 1.39 × 104
5000 0.125 1.73 × 104
6000 0.150 2.08 × 104
7000 0.175 2.42 × 104
8000 0.200 2.77 × 104
9000 0.226 3.12 × 104
1.00 × 104 0.251 3.46 × 104
2.00 × 104 0.501 6.93 × 104
3.00 × 104 0.752 1.04 × 105
4.00 × 104 1.00 1.39 × 105
5.00 × 104 1.25 1.73 × 105
6.00 × 104 1.50 2.08 × 105
7.00 × 104 1.75 2.42 × 105
8.00 × 104 2.00 2.77 × 105
8.58 × 104 2.15 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.00570 443
80.0 0.00634 492
90.0 0.00713 554
100 0.00792 616
200 0.0158 1230
300 0.0238 1850
400 0.0317 2460
500 0.0396 3080
600 0.0475 3690
700 0.0554 4310
800 0.0634 4920
900 0.0713 5540
1000 0.0792 6160
2000 0.158 1.23 × 104
3000 0.238 1.85 × 104
4000 0.317 2.46 × 104
5000 0.396 3.08 × 104
6000 0.475 3.69 × 104
7000 0.554 4.31 × 104
8000 0.634 4.92 × 104
9000 0.713 5.54 × 104
1.00 × 104 0.792 6.16 × 104
2.00 × 104 1.58 1.23 × 105
3.00 × 104 2.38 1.85 × 105
4.00 × 104 3.17 2.46 × 105
4.83 × 104 3.82 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.0139 693
80.0 0.0155 769
90.0 0.0174 866
100 0.0193 962
200 0.0387 1920
300 0.0580 2890
400 0.0773 3850
500 0.0967 4810
600 0.116 5770
700 0.135 6730
800 0.155 7690
900 0.174 8660
1000 0.193 9620
2000 0.387 1.92 × 104
3000 0.580 2.89 × 104
4000 0.773 3.85 × 104
5000 0.967 4.81 × 104
6000 1.16 5.77 × 104
7000 1.35 6.73 × 104
8000 1.55 7.69 × 104
9000 1.74 8.66 × 104
1.00 × 104 1.93 9.62 × 104
2.00 × 104 3.87 1.92 × 105
3.00 × 104 5.80 2.89 × 105
3.09 × 104 5.97 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.0289 997
80.0 0.0321 1110
90.0 0.0361 1250
100 0.0401 1390
200 0.0802 2770
300 0.120 4160
400 0.160 5540
500 0.200 6930
600 0.241 8310
700 0.281 9700
800 0.321 1.11 × 104
900 0.361 1.25 × 104
1000 0.401 1.39 × 104
2000 0.802 2.77 × 104
3000 1.20 4.16 × 104
4000 1.60 5.54 × 104
5000 2.00 6.93 × 104
6000 2.41 8.31 × 104
7000 2.81 9.70 × 104
8000 3.21 1.11 × 105
9000 3.61 1.25 × 105
1.00 × 104 4.01 1.39 × 105
2.00 × 104 8.02 2.77 × 105
2.14 × 104 8.60 2.97 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.0912 1770
80.0 0.101 1970
90.0 0.114 2220
100 0.127 2460
200 0.253 4920
300 0.380 7390
400 0.507 9850
500 0.634 1.23 × 104
600 0.760 1.48 × 104
700 0.887 1.72 × 104
800 1.01 1.97 × 104
900 1.14 2.22 × 104
1000 1.27 2.46 × 104
2000 2.53 4.92 × 104
3000 3.80 7.39 × 104
4000 5.07 9.85 × 104
5000 6.34 1.23 × 105
6000 7.60 1.48 × 105
7000 8.87 1.72 × 105
8000 10.1 1.97 × 105
9000 11.4 2.22 × 105
9670 12.3 2.38 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.223 2770
80.0 0.247 3080
90.0 0.278 3460
100 0.309 3850
200 0.619 7690
300 0.928 1.15 × 104
400 1.24 1.54 × 104
500 1.55 1.92 × 104
600 1.86 2.31 × 104
700 2.17 2.69 × 104
800 2.47 3.08 × 104
900 2.78 3.46 × 104
1000 3.09 3.85 × 104
2000 6.19 7.69 × 104
3000 9.28 1.15 × 105
3960 12.3 1.52 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.462 3990
80.0 0.513 4430
90.0 0.577 4990
100 0.641 5540
200 1.28 1.11 × 104
300 1.92 1.66 × 104
400 2.57 2.22 × 104
500 3.21 2.77 × 104
600 3.85 3.32 × 104
700 4.49 3.88 × 104
800 5.13 4.43 × 104
900 5.77 4.99 × 104
1000 6.41 5.54 × 104
1910 12.3 1.06 × 105
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 0.856 5430
80.0 0.951 6030
90.0 1.07 6790
100 1.19 7540
200 2.38 1.51 × 104
300 3.57 2.26 × 104
400 4.75 3.02 × 104
500 5.94 3.77 × 104
600 7.13 4.52 × 104
700 8.32 5.28 × 104
800 9.51 6.03 × 104
900 10.7 6.79 × 104
1000 11.9 7.54 × 104
1030 12.3 7.77 × 104
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 1.46 7090
80.0 1.62 7880
90.0 1.82 8860
100 2.03 9850
200 4.05 1.97 × 104
300 6.08 2.95 × 104
400 8.11 3.94 × 104
500 10.1 4.92 × 104
600 12.2 5.91 × 104
604 12.3 5.95 × 104
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 2.34 8980
80.0 2.60 9970
90.0 2.92 1.12 × 104
100 3.25 1.25 × 104
200 6.49 2.49 × 104
300 9.74 3.74 × 104
377 12.3 4.70 × 104
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 3.56 1.11 × 104
80.0 3.96 1.23 × 104
90.0 4.45 1.39 × 104
100 4.95 1.54 × 104
200 9.90 3.08 × 104
247 12.3 3.81 × 104
Steel I Beam: W12 × 72 (Wide Flange 12 inch tall × 72 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
72.0 8.70 1.73 × 104
80.0 9.67 1.92 × 104
90.0 10.9 2.16 × 104
100 12.1 2.40 × 104
101 12.3 2.44 × 104
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