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Wide Flange Steel I Beam: W12 × 72
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
  
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 7.22 × 10-6 9.97
80.0 8.02 × 10-6 11.1
90.0 9.02 × 10-6 12.5
100 1.00 × 10-5 13.9
200 2.00 × 10-5 27.7
300 3.01 × 10-5 41.6
400 4.01 × 10-5 55.4
500 5.01 × 10-5 69.3
600 6.01 × 10-5 83.1
700 7.02 × 10-5 97.0
800 8.02 × 10-5 111
900 9.02 × 10-5 125
1000 1.00 × 10-4 139
2000 2.00 × 10-4 277
3000 3.01 × 10-4 416
4000 4.01 × 10-4 554
5000 5.01 × 10-4 693
6000 6.01 × 10-4 831
7000 7.02 × 10-4 970
8000 8.02 × 10-4 1110
9000 9.02 × 10-4 1250
1.00 × 104 0.00100 1390
2.00 × 104 0.00200 2770
3.00 × 104 0.00301 4160
4.00 × 104 0.00401 5540
5.00 × 104 0.00501 6930
6.00 × 104 0.00601 8310
7.00 × 104 0.00702 9700
8.00 × 104 0.00802 1.11 × 104
9.00 × 104 0.00902 1.25 × 104
1.00 × 105 0.0100 1.39 × 104
2.00 × 105 0.0200 2.77 × 104
3.00 × 105 0.0301 4.16 × 104
4.00 × 105 0.0401 5.54 × 104
5.00 × 105 0.0501 6.93 × 104
6.00 × 105 0.0601 8.31 × 104
7.00 × 105 0.0702 9.70 × 104
8.00 × 105 0.0802 1.11 × 105
9.00 × 105 0.0902 1.25 × 105
1.00 × 106 0.100 1.39 × 105
2.00 × 106 0.200 2.77 × 105
2.14 × 106 0.215 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 5.57 × 10-5 27.7
80.0 6.19 × 10-5 30.8
90.0 6.96 × 10-5 34.6
100 7.73 × 10-5 38.5
200 1.55 × 10-4 76.9
300 2.32 × 10-4 115
400 3.09 × 10-4 154
500 3.87 × 10-4 192
600 4.64 × 10-4 231
700 5.41 × 10-4 269
800 6.19 × 10-4 308
900 6.96 × 10-4 346
1000 7.73 × 10-4 385
2000 0.00155 769
3000 0.00232 1150
4000 0.00309 1540
5000 0.00387 1920
6000 0.00464 2310
7000 0.00541 2690
8000 0.00619 3080
9000 0.00696 3460
1.00 × 104 0.00773 3850
2.00 × 104 0.0155 7690
3.00 × 104 0.0232 1.15 × 104
4.00 × 104 0.0309 1.54 × 104
5.00 × 104 0.0387 1.92 × 104
6.00 × 104 0.0464 2.31 × 104
7.00 × 104 0.0541 2.69 × 104
8.00 × 104 0.0619 3.08 × 104
9.00 × 104 0.0696 3.46 × 104
1.00 × 105 0.0773 3.85 × 104
2.00 × 105 0.155 7.69 × 104
3.00 × 105 0.232 1.15 × 105
4.00 × 105 0.309 1.54 × 105
5.00 × 105 0.387 1.92 × 105
6.00 × 105 0.464 2.31 × 105
7.00 × 105 0.541 2.69 × 105
7.72 × 105 0.597 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 8.91 × 10-4 111
80.0 9.90 × 10-4 123
90.0 0.00111 139
100 0.00124 154
200 0.00247 308
300 0.00371 462
400 0.00495 616
500 0.00619 769
600 0.00742 923
700 0.00866 1080
800 0.00990 1230
900 0.0111 1390
1000 0.0124 1540
2000 0.0247 3080
3000 0.0371 4620
4000 0.0495 6160
5000 0.0619 7690
6000 0.0742 9230
7000 0.0866 1.08 × 104
8000 0.0990 1.23 × 104
9000 0.111 1.39 × 104
1.00 × 104 0.124 1.54 × 104
2.00 × 104 0.247 3.08 × 104
3.00 × 104 0.371 4.62 × 104
4.00 × 104 0.495 6.16 × 104
5.00 × 104 0.619 7.69 × 104
6.00 × 104 0.742 9.23 × 104
7.00 × 104 0.866 1.08 × 105
8.00 × 104 0.990 1.23 × 105
9.00 × 104 1.11 1.39 × 105
1.00 × 105 1.24 1.54 × 105
1.93 × 105 2.39 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 0.00451 249
80.0 0.00501 277
90.0 0.00564 312
100 0.00626 346
200 0.0125 693
300 0.0188 1040
400 0.0251 1390
500 0.0313 1730
600 0.0376 2080
700 0.0439 2420
800 0.0501 2770
900 0.0564 3120
1000 0.0626 3460
2000 0.125 6930
3000 0.188 1.04 × 104
4000 0.251 1.39 × 104
5000 0.313 1.73 × 104
6000 0.376 2.08 × 104
7000 0.439 2.42 × 104
8000 0.501 2.77 × 104
9000 0.564 3.12 × 104
1.00 × 104 0.626 3.46 × 104
2.00 × 104 1.25 6.93 × 104
3.00 × 104 1.88 1.04 × 105
4.00 × 104 2.51 1.39 × 105
5.00 × 104 3.13 1.73 × 105
6.00 × 104 3.76 2.08 × 105
7.00 × 104 4.39 2.42 × 105
8.00 × 104 5.01 2.77 × 105
8.58 × 104 5.37 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 0.0143 443
80.0 0.0158 492
90.0 0.0178 554
100 0.0198 616
200 0.0396 1230
300 0.0594 1850
400 0.0792 2460
500 0.0990 3080
600 0.119 3690
700 0.139 4310
800 0.158 4920
900 0.178 5540
1000 0.198 6160
2000 0.396 1.23 × 104
3000 0.594 1.85 × 104
4000 0.792 2.46 × 104
5000 0.990 3.08 × 104
6000 1.19 3.69 × 104
7000 1.39 4.31 × 104
8000 1.58 4.92 × 104
9000 1.78 5.54 × 104
1.00 × 104 1.98 6.16 × 104
2.00 × 104 3.96 1.23 × 105
3.00 × 104 5.94 1.85 × 105
4.00 × 104 7.92 2.46 × 105
4.83 × 104 9.55 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 0.0348 693
80.0 0.0387 769
90.0 0.0435 866
100 0.0483 962
200 0.0967 1920
300 0.145 2890
400 0.193 3850
500 0.242 4810
600 0.290 5770
700 0.338 6730
800 0.387 7690
900 0.435 8660
1000 0.483 9620
2000 0.967 1.92 × 104
3000 1.45 2.89 × 104
4000 1.93 3.85 × 104
5000 2.42 4.81 × 104
6000 2.90 5.77 × 104
7000 3.38 6.73 × 104
8000 3.87 7.69 × 104
9000 4.35 8.66 × 104
1.00 × 104 4.83 9.62 × 104
2.00 × 104 9.67 1.92 × 105
2.53 × 104 12.3 2.44 × 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 0.0722 997
80.0 0.0802 1110
90.0 0.0902 1250
100 0.100 1390
200 0.200 2770
300 0.301 4160
400 0.401 5540
500 0.501 6930
600 0.601 8310
700 0.702 9700
800 0.802 1.11 × 104
900 0.902 1.25 × 104
1000 1.00 1.39 × 104
2000 2.00 2.77 × 104
3000 3.01 4.16 × 104
4000 4.01 5.54 × 104
5000 5.01 6.93 × 104
6000 6.01 8.31 × 104
7000 7.02 9.70 × 104
8000 8.02 1.11 × 105
9000 9.02 1.25 × 105
1.00 × 104 10.0 1.39 × 105
1.22 × 104 12.3 1.69 × 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 0.228 1770
80.0 0.253 1970
90.0 0.285 2220
100 0.317 2460
200 0.634 4920
300 0.950 7390
400 1.27 9850
500 1.58 1.23 × 104
600 1.90 1.48 × 104
700 2.22 1.72 × 104
800 2.53 1.97 × 104
900 2.85 2.22 × 104
1000 3.17 2.46 × 104
2000 6.34 4.92 × 104
3000 9.50 7.39 × 104
3870 12.3 9.52 × 104
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 0.557 2770
80.0 0.619 3080
90.0 0.696 3460
100 0.773 3850
200 1.55 7690
300 2.32 1.15 × 104
400 3.09 1.54 × 104
500 3.87 1.92 × 104
600 4.64 2.31 × 104
700 5.41 2.69 × 104
800 6.19 3.08 × 104
900 6.96 3.46 × 104
1000 7.73 3.85 × 104
1580 12.3 6.09 × 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 1.15 3990
80.0 1.28 4430
90.0 1.44 4990
100 1.60 5540
200 3.21 1.11 × 104
300 4.81 1.66 × 104
400 6.41 2.22 × 104
500 8.02 2.77 × 104
600 9.62 3.32 × 104
700 11.2 3.88 × 104
764 12.3 4.23 × 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 2.14 5430
80.0 2.38 6030
90.0 2.67 6790
100 2.97 7540
200 5.94 1.51 × 104
300 8.91 2.26 × 104
400 11.9 3.02 × 104
412 12.3 3.11 × 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 3.65 7090
80.0 4.05 7880
90.0 4.56 8860
100 5.07 9850
200 10.1 1.97 × 104
242 12.3 2.38 × 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 5.85 8980
80.0 6.49 9970
90.0 7.31 1.12 × 104
100 8.12 1.25 × 104
151 12.3 1.88 × 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 8.91 1.11 × 104
80.0 9.90 1.23 × 104
90.0 11.1 1.39 × 104
99.0 12.3 1.52 × 104
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