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Wide Flange Steel I Beam: W12 × 72
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 3.49 × 10-6 8.54
80.0 3.88 × 10-6 9.49
90.0 4.36 × 10-6 10.7
100 4.85 × 10-6 11.9
200 9.70 × 10-6 23.7
300 1.45 × 10-5 35.6
400 1.94 × 10-5 47.5
500 2.42 × 10-5 59.3
600 2.91 × 10-5 71.2
700 3.39 × 10-5 83.1
800 3.88 × 10-5 94.9
900 4.36 × 10-5 107
1000 4.85 × 10-5 119
2000 9.70 × 10-5 237
3000 1.45 × 10-4 356
4000 1.94 × 10-4 475
5000 2.42 × 10-4 593
6000 2.91 × 10-4 712
7000 3.39 × 10-4 831
8000 3.88 × 10-4 949
9000 4.36 × 10-4 1070
1.00 × 104 4.85 × 10-4 1190
2.00 × 104 9.70 × 10-4 2370
3.00 × 104 0.00145 3560
4.00 × 104 0.00194 4750
5.00 × 104 0.00242 5930
6.00 × 104 0.00291 7120
7.00 × 104 0.00339 8310
8.00 × 104 0.00388 9490
9.00 × 104 0.00436 1.07 × 104
1.00 × 105 0.00485 1.19 × 104
2.00 × 105 0.00970 2.37 × 104
3.00 × 105 0.0145 3.56 × 104
4.00 × 105 0.0194 4.75 × 104
5.00 × 105 0.0242 5.93 × 104
6.00 × 105 0.0291 7.12 × 104
7.00 × 105 0.0339 8.31 × 104
8.00 × 105 0.0388 9.49 × 104
9.00 × 105 0.0436 1.07 × 105
1.00 × 106 0.0485 1.19 × 105
2.00 × 106 0.0970 2.37 × 105
2.50 × 106 0.121 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 2.69 × 10-5 23.7
80.0 2.99 × 10-5 26.4
90.0 3.37 × 10-5 29.7
100 3.74 × 10-5 33.0
200 7.48 × 10-5 65.9
300 1.12 × 10-4 98.9
400 1.50 × 10-4 132
500 1.87 × 10-4 165
600 2.25 × 10-4 198
700 2.62 × 10-4 231
800 2.99 × 10-4 264
900 3.37 × 10-4 297
1000 3.74 × 10-4 330
2000 7.48 × 10-4 659
3000 0.00112 989
4000 0.00150 1320
5000 0.00187 1650
6000 0.00225 1980
7000 0.00262 2310
8000 0.00299 2640
9000 0.00337 2970
1.00 × 104 0.00374 3300
2.00 × 104 0.00748 6590
3.00 × 104 0.0112 9890
4.00 × 104 0.0150 1.32 × 104
5.00 × 104 0.0187 1.65 × 104
6.00 × 104 0.0225 1.98 × 104
7.00 × 104 0.0262 2.31 × 104
8.00 × 104 0.0299 2.64 × 104
9.00 × 104 0.0337 2.97 × 104
1.00 × 105 0.0374 3.30 × 104
2.00 × 105 0.0748 6.59 × 104
3.00 × 105 0.112 9.89 × 104
4.00 × 105 0.150 1.32 × 105
5.00 × 105 0.187 1.65 × 105
6.00 × 105 0.225 1.98 × 105
7.00 × 105 0.262 2.31 × 105
8.00 × 105 0.299 2.64 × 105
9.00 × 105 0.337 2.97 × 105
9.01 × 105 0.337 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 4.31 × 10-4 94.9
80.0 4.79 × 10-4 105
90.0 5.39 × 10-4 119
100 5.99 × 10-4 132
200 0.00120 264
300 0.00180 396
400 0.00239 527
500 0.00299 659
600 0.00359 791
700 0.00419 923
800 0.00479 1050
900 0.00539 1190
1000 0.00599 1320
2000 0.0120 2640
3000 0.0180 3960
4000 0.0239 5270
5000 0.0299 6590
6000 0.0359 7910
7000 0.0419 9230
8000 0.0479 1.05 × 104
9000 0.0539 1.19 × 104
1.00 × 104 0.0599 1.32 × 104
2.00 × 104 0.120 2.64 × 104
3.00 × 104 0.180 3.96 × 104
4.00 × 104 0.239 5.27 × 104
5.00 × 104 0.299 6.59 × 104
6.00 × 104 0.359 7.91 × 104
7.00 × 104 0.419 9.23 × 104
8.00 × 104 0.479 1.05 × 105
9.00 × 104 0.539 1.19 × 105
1.00 × 105 0.599 1.32 × 105
2.00 × 105 1.20 2.64 × 105
2.25 × 105 1.35 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 0.00218 214
80.0 0.00242 237
90.0 0.00273 267
100 0.00303 297
200 0.00606 593
300 0.00909 890
400 0.0121 1190
500 0.0152 1480
600 0.0182 1780
700 0.0212 2080
800 0.0242 2370
900 0.0273 2670
1000 0.0303 2970
2000 0.0606 5930
3000 0.0909 8900
4000 0.121 1.19 × 104
5000 0.152 1.48 × 104
6000 0.182 1.78 × 104
7000 0.212 2.08 × 104
8000 0.242 2.37 × 104
9000 0.273 2.67 × 104
1.00 × 104 0.303 2.97 × 104
2.00 × 104 0.606 5.93 × 104
3.00 × 104 0.909 8.90 × 104
4.00 × 104 1.21 1.19 × 105
5.00 × 104 1.52 1.48 × 105
6.00 × 104 1.82 1.78 × 105
7.00 × 104 2.12 2.08 × 105
8.00 × 104 2.42 2.37 × 105
9.00 × 104 2.73 2.67 × 105
1.00 × 105 3.03 2.97 × 105
1.00 × 105 3.03 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 0.00690 380
80.0 0.00766 422
90.0 0.00862 475
100 0.00958 527
200 0.0192 1050
300 0.0287 1580
400 0.0383 2110
500 0.0479 2640
600 0.0575 3160
700 0.0671 3690
800 0.0766 4220
900 0.0862 4750
1000 0.0958 5270
2000 0.192 1.05 × 104
3000 0.287 1.58 × 104
4000 0.383 2.11 × 104
5000 0.479 2.64 × 104
6000 0.575 3.16 × 104
7000 0.671 3.69 × 104
8000 0.766 4.22 × 104
9000 0.862 4.75 × 104
1.00 × 104 0.958 5.27 × 104
2.00 × 104 1.92 1.05 × 105
3.00 × 104 2.87 1.58 × 105
4.00 × 104 3.83 2.11 × 105
5.00 × 104 4.79 2.64 × 105
5.63 × 104 5.39 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 0.0168 593
80.0 0.0187 659
90.0 0.0210 742
100 0.0234 824
200 0.0468 1650
300 0.0702 2470
400 0.0935 3300
500 0.117 4120
600 0.140 4940
700 0.164 5770
800 0.187 6590
900 0.210 7420
1000 0.234 8240
2000 0.468 1.65 × 104
3000 0.702 2.47 × 104
4000 0.935 3.30 × 104
5000 1.17 4.12 × 104
6000 1.40 4.94 × 104
7000 1.64 5.77 × 104
8000 1.87 6.59 × 104
9000 2.10 7.42 × 104
1.00 × 104 2.34 8.24 × 104
2.00 × 104 4.68 1.65 × 105
3.00 × 104 7.02 2.47 × 105
3.60 × 104 8.43 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 0.0349 854
80.0 0.0388 949
90.0 0.0436 1070
100 0.0485 1190
200 0.0970 2370
300 0.145 3560
400 0.194 4750
500 0.242 5930
600 0.291 7120
700 0.339 8310
800 0.388 9490
900 0.436 1.07 × 104
1000 0.485 1.19 × 104
2000 0.970 2.37 × 104
3000 1.45 3.56 × 104
4000 1.94 4.75 × 104
5000 2.42 5.93 × 104
6000 2.91 7.12 × 104
7000 3.39 8.31 × 104
8000 3.88 9.49 × 104
9000 4.36 1.07 × 105
1.00 × 104 4.85 1.19 × 105
2.00 × 104 9.70 2.37 × 105
2.50 × 104 12.1 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 0.110 1520
80.0 0.123 1690
90.0 0.138 1900
100 0.153 2110
200 0.307 4220
300 0.460 6330
400 0.613 8440
500 0.766 1.05 × 104
600 0.920 1.27 × 104
700 1.07 1.48 × 104
800 1.23 1.69 × 104
900 1.38 1.90 × 104
1000 1.53 2.11 × 104
2000 3.07 4.22 × 104
3000 4.60 6.33 × 104
4000 6.13 8.44 × 104
5000 7.66 1.05 × 105
6000 9.20 1.27 × 105
7000 10.7 1.48 × 105
7990 12.3 1.69 × 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 0.269 2370
80.0 0.299 2640
90.0 0.337 2970
100 0.374 3300
200 0.748 6590
300 1.12 9890
400 1.50 1.32 × 104
500 1.87 1.65 × 104
600 2.25 1.98 × 104
700 2.62 2.31 × 104
800 2.99 2.64 × 104
900 3.37 2.97 × 104
1000 3.74 3.30 × 104
2000 7.48 6.59 × 104
3000 11.2 9.89 × 104
3270 12.3 1.08 × 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 0.559 3420
80.0 0.621 3800
90.0 0.698 4270
100 0.776 4750
200 1.55 9490
300 2.33 1.42 × 104
400 3.10 1.90 × 104
500 3.88 2.37 × 104
600 4.66 2.85 × 104
700 5.43 3.32 × 104
800 6.21 3.80 × 104
900 6.98 4.27 × 104
1000 7.76 4.75 × 104
1580 12.3 7.49 × 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 1.03 4650
80.0 1.15 5170
90.0 1.29 5810
100 1.44 6460
200 2.87 1.29 × 104
300 4.31 1.94 × 104
400 5.75 2.58 × 104
500 7.19 3.23 × 104
600 8.62 3.88 × 104
700 10.1 4.52 × 104
800 11.5 5.17 × 104
852 12.3 5.51 × 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 1.77 6080
80.0 1.96 6750
90.0 2.21 7590
100 2.45 8440
200 4.90 1.69 × 104
300 7.36 2.53 × 104
400 9.81 3.38 × 104
500 12.3 4.22 × 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 2.83 7690
80.0 3.14 8540
90.0 3.54 9610
100 3.93 1.07 × 104
200 7.86 2.14 × 104
300 11.8 3.20 × 104
312 12.3 3.33 × 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 4.31 9490
80.0 4.79 1.05 × 104
90.0 5.39 1.19 × 104
100 5.99 1.32 × 104
200 12.0 2.64 × 104
205 12.3 2.70 × 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 10.5 1.48 × 104
80.0 11.7 1.65 × 104
83.8 12.3 1.73 × 104
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