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Wide Flange Steel I Beam: W12 × 72
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 3.77 × 10-6 7.98
80.0 4.19 × 10-6 8.86
90.0 4.71 × 10-6 9.97
100 5.23 × 10-6 11.1
200 1.05 × 10-5 22.2
300 1.57 × 10-5 33.2
400 2.09 × 10-5 44.3
500 2.62 × 10-5 55.4
600 3.14 × 10-5 66.5
700 3.66 × 10-5 77.6
800 4.19 × 10-5 88.6
900 4.71 × 10-5 99.7
1000 5.23 × 10-5 111
2000 1.05 × 10-4 222
3000 1.57 × 10-4 332
4000 2.09 × 10-4 443
5000 2.62 × 10-4 554
6000 3.14 × 10-4 665
7000 3.66 × 10-4 776
8000 4.19 × 10-4 886
9000 4.71 × 10-4 997
1.00 × 104 5.23 × 10-4 1110
2.00 × 104 0.00105 2220
3.00 × 104 0.00157 3320
4.00 × 104 0.00209 4430
5.00 × 104 0.00262 5540
6.00 × 104 0.00314 6650
7.00 × 104 0.00366 7760
8.00 × 104 0.00419 8860
9.00 × 104 0.00471 9970
1.00 × 105 0.00523 1.11 × 104
2.00 × 105 0.0105 2.22 × 104
3.00 × 105 0.0157 3.32 × 104
4.00 × 105 0.0209 4.43 × 104
5.00 × 105 0.0262 5.54 × 104
6.00 × 105 0.0314 6.65 × 104
7.00 × 105 0.0366 7.76 × 104
8.00 × 105 0.0419 8.86 × 104
9.00 × 105 0.0471 9.97 × 104
1.00 × 106 0.0523 1.11 × 105
2.00 × 106 0.105 2.22 × 105
2.68 × 106 0.140 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 2.91 × 10-5 22.2
80.0 3.23 × 10-5 24.6
90.0 3.63 × 10-5 27.7
100 4.04 × 10-5 30.8
200 8.08 × 10-5 61.6
300 1.21 × 10-4 92.3
400 1.62 × 10-4 123
500 2.02 × 10-4 154
600 2.42 × 10-4 185
700 2.83 × 10-4 215
800 3.23 × 10-4 246
900 3.63 × 10-4 277
1000 4.04 × 10-4 308
2000 8.08 × 10-4 616
3000 0.00121 923
4000 0.00162 1230
5000 0.00202 1540
6000 0.00242 1850
7000 0.00283 2150
8000 0.00323 2460
9000 0.00363 2770
1.00 × 104 0.00404 3080
2.00 × 104 0.00808 6160
3.00 × 104 0.0121 9230
4.00 × 104 0.0162 1.23 × 104
5.00 × 104 0.0202 1.54 × 104
6.00 × 104 0.0242 1.85 × 104
7.00 × 104 0.0283 2.15 × 104
8.00 × 104 0.0323 2.46 × 104
9.00 × 104 0.0363 2.77 × 104
1.00 × 105 0.0404 3.08 × 104
2.00 × 105 0.0808 6.16 × 104
3.00 × 105 0.121 9.23 × 104
4.00 × 105 0.162 1.23 × 105
5.00 × 105 0.202 1.54 × 105
6.00 × 105 0.242 1.85 × 105
7.00 × 105 0.283 2.15 × 105
8.00 × 105 0.323 2.46 × 105
9.00 × 105 0.363 2.77 × 105
9.65 × 105 0.390 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 4.65 × 10-4 88.6
80.0 5.17 × 10-4 98.5
90.0 5.82 × 10-4 111
100 6.46 × 10-4 123
200 0.00129 246
300 0.00194 369
400 0.00258 492
500 0.00323 616
600 0.00388 739
700 0.00452 862
800 0.00517 985
900 0.00582 1110
1000 0.00646 1230
2000 0.0129 2460
3000 0.0194 3690
4000 0.0258 4920
5000 0.0323 6160
6000 0.0388 7390
7000 0.0452 8620
8000 0.0517 9850
9000 0.0582 1.11 × 104
1.00 × 104 0.0646 1.23 × 104
2.00 × 104 0.129 2.46 × 104
3.00 × 104 0.194 3.69 × 104
4.00 × 104 0.258 4.92 × 104
5.00 × 104 0.323 6.16 × 104
6.00 × 104 0.388 7.39 × 104
7.00 × 104 0.452 8.62 × 104
8.00 × 104 0.517 9.85 × 104
9.00 × 104 0.582 1.11 × 105
1.00 × 105 0.646 1.23 × 105
2.00 × 105 1.29 2.46 × 105
2.41 × 105 1.56 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 0.00236 199
80.0 0.00262 222
90.0 0.00294 249
100 0.00327 277
200 0.00654 554
300 0.00981 831
400 0.0131 1110
500 0.0164 1390
600 0.0196 1660
700 0.0229 1940
800 0.0262 2220
900 0.0294 2490
1000 0.0327 2770
2000 0.0654 5540
3000 0.0981 8310
4000 0.131 1.11 × 104
5000 0.164 1.39 × 104
6000 0.196 1.66 × 104
7000 0.229 1.94 × 104
8000 0.262 2.22 × 104
9000 0.294 2.49 × 104
1.00 × 104 0.327 2.77 × 104
2.00 × 104 0.654 5.54 × 104
3.00 × 104 0.981 8.31 × 104
4.00 × 104 1.31 1.11 × 105
5.00 × 104 1.64 1.39 × 105
6.00 × 104 1.96 1.66 × 105
7.00 × 104 2.29 1.94 × 105
8.00 × 104 2.62 2.22 × 105
9.00 × 104 2.94 2.49 × 105
1.00 × 105 3.27 2.77 × 105
1.07 × 105 3.51 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 0.00744 355
80.0 0.00827 394
90.0 0.00931 443
100 0.0103 492
200 0.0207 985
300 0.0310 1480
400 0.0414 1970
500 0.0517 2460
600 0.0620 2950
700 0.0724 3450
800 0.0827 3940
900 0.0931 4430
1000 0.103 4920
2000 0.207 9850
3000 0.310 1.48 × 104
4000 0.414 1.97 × 104
5000 0.517 2.46 × 104
6000 0.620 2.95 × 104
7000 0.724 3.45 × 104
8000 0.827 3.94 × 104
9000 0.931 4.43 × 104
1.00 × 104 1.03 4.92 × 104
2.00 × 104 2.07 9.85 × 104
3.00 × 104 3.10 1.48 × 105
4.00 × 104 4.14 1.97 × 105
5.00 × 104 5.17 2.46 × 105
6.00 × 104 6.20 2.95 × 105
6.03 × 104 6.24 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 0.0182 554
80.0 0.0202 616
90.0 0.0227 693
100 0.0252 769
200 0.0505 1540
300 0.0757 2310
400 0.101 3080
500 0.126 3850
600 0.151 4620
700 0.177 5390
800 0.202 6160
900 0.227 6930
1000 0.252 7690
2000 0.505 1.54 × 104
3000 0.757 2.31 × 104
4000 1.01 3.08 × 104
5000 1.26 3.85 × 104
6000 1.51 4.62 × 104
7000 1.77 5.39 × 104
8000 2.02 6.16 × 104
9000 2.27 6.93 × 104
1.00 × 104 2.52 7.69 × 104
2.00 × 104 5.05 1.54 × 105
3.00 × 104 7.57 2.31 × 105
3.86 × 104 9.74 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 0.0377 798
80.0 0.0419 886
90.0 0.0471 997
100 0.0523 1110
200 0.105 2220
300 0.157 3320
400 0.209 4430
500 0.262 5540
600 0.314 6650
700 0.366 7760
800 0.419 8860
900 0.471 9970
1000 0.523 1.11 × 104
2000 1.05 2.22 × 104
3000 1.57 3.32 × 104
4000 2.09 4.43 × 104
5000 2.62 5.54 × 104
6000 3.14 6.65 × 104
7000 3.66 7.76 × 104
8000 4.19 8.86 × 104
9000 4.71 9.97 × 104
1.00 × 104 5.23 1.11 × 105
2.00 × 104 10.5 2.22 × 105
2.68 × 104 14.0 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 0.119 1420
80.0 0.132 1580
90.0 0.149 1770
100 0.165 1970
200 0.331 3940
300 0.496 5910
400 0.662 7880
500 0.827 9850
600 0.993 1.18 × 104
700 1.16 1.38 × 104
800 1.32 1.58 × 104
900 1.49 1.77 × 104
1000 1.65 1.97 × 104
2000 3.31 3.94 × 104
3000 4.96 5.91 × 104
4000 6.62 7.88 × 104
5000 8.27 9.85 × 104
6000 9.93 1.18 × 105
7000 11.6 1.38 × 105
7400 12.3 1.46 × 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 0.291 2220
80.0 0.323 2460
90.0 0.363 2770
100 0.404 3080
200 0.808 6160
300 1.21 9230
400 1.62 1.23 × 104
500 2.02 1.54 × 104
600 2.42 1.85 × 104
700 2.83 2.15 × 104
800 3.23 2.46 × 104
900 3.63 2.77 × 104
1000 4.04 3.08 × 104
2000 8.08 6.16 × 104
3000 12.1 9.23 × 104
3030 12.3 9.34 × 104
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 0.603 3190
80.0 0.670 3550
90.0 0.754 3990
100 0.837 4430
200 1.67 8860
300 2.51 1.33 × 104
400 3.35 1.77 × 104
500 4.19 2.22 × 104
600 5.02 2.66 × 104
700 5.86 3.10 × 104
800 6.70 3.55 × 104
900 7.54 3.99 × 104
1000 8.37 4.43 × 104
1460 12.3 6.48 × 104
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 1.12 4340
80.0 1.24 4830
90.0 1.40 5430
100 1.55 6030
200 3.10 1.21 × 104
300 4.65 1.81 × 104
400 6.21 2.41 × 104
500 7.76 3.02 × 104
600 9.31 3.62 × 104
700 10.9 4.22 × 104
790 12.3 4.76 × 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 1.91 5670
80.0 2.12 6300
90.0 2.38 7090
100 2.65 7880
200 5.29 1.58 × 104
300 7.94 2.36 × 104
400 10.6 3.15 × 104
463 12.3 3.65 × 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 3.05 7180
80.0 3.39 7980
90.0 3.82 8980
100 4.24 9970
200 8.48 1.99 × 104
289 12.3 2.88 × 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 4.65 8860
80.0 5.17 9850
90.0 5.82 1.11 × 104
100 6.46 1.23 × 104
190 12.3 2.33 × 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 11.4 1.39 × 104
77.6 12.3 1.49 × 104
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