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Wide Flange Steel I Beam: W12 × 58
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 58
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 = 475 in4) for the W12 × 58 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 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 3.82 × 10-6 8.04
60.0 3.95 × 10-6 8.31
70.0 4.61 × 10-6 9.70
80.0 5.26 × 10-6 11.1
90.0 5.92 × 10-6 12.5
100 6.58 × 10-6 13.9
200 1.32 × 10-5 27.7
300 1.97 × 10-5 41.6
400 2.63 × 10-5 55.4
500 3.29 × 10-5 69.3
600 3.95 × 10-5 83.1
700 4.61 × 10-5 97.0
800 5.26 × 10-5 111
900 5.92 × 10-5 125
1000 6.58 × 10-5 139
2000 1.32 × 10-4 277
3000 1.97 × 10-4 416
4000 2.63 × 10-4 554
5000 3.29 × 10-4 693
6000 3.95 × 10-4 831
7000 4.61 × 10-4 970
8000 5.26 × 10-4 1110
9000 5.92 × 10-4 1250
1.00 × 104 6.58 × 10-4 1390
2.00 × 104 0.00132 2770
3.00 × 104 0.00197 4160
4.00 × 104 0.00263 5540
5.00 × 104 0.00329 6930
6.00 × 104 0.00395 8310
7.00 × 104 0.00461 9700
8.00 × 104 0.00526 1.11 × 104
9.00 × 104 0.00592 1.25 × 104
1.00 × 105 0.00658 1.39 × 104
2.00 × 105 0.0132 2.77 × 104
3.00 × 105 0.0197 4.16 × 104
4.00 × 105 0.0263 5.54 × 104
5.00 × 105 0.0329 6.93 × 104
6.00 × 105 0.0395 8.31 × 104
7.00 × 105 0.0461 9.70 × 104
8.00 × 105 0.0526 1.11 × 105
9.00 × 105 0.0592 1.25 × 105
1.00 × 106 0.0658 1.39 × 105
2.00 × 106 0.132 2.77 × 105
2.14 × 106 0.141 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 2.94 × 10-5 22.3
60.0 3.05 × 10-5 23.1
70.0 3.55 × 10-5 26.9
80.0 4.06 × 10-5 30.8
90.0 4.57 × 10-5 34.6
100 5.08 × 10-5 38.5
200 1.02 × 10-4 77.0
300 1.52 × 10-4 115
400 2.03 × 10-4 154
500 2.54 × 10-4 192
600 3.05 × 10-4 231
700 3.55 × 10-4 269
800 4.06 × 10-4 308
900 4.57 × 10-4 346
1000 5.08 × 10-4 385
2000 0.00102 770
3000 0.00152 1150
4000 0.00203 1540
5000 0.00254 1920
6000 0.00305 2310
7000 0.00355 2690
8000 0.00406 3080
9000 0.00457 3460
1.00 × 104 0.00508 3850
2.00 × 104 0.0102 7700
3.00 × 104 0.0152 1.15 × 104
4.00 × 104 0.0203 1.54 × 104
5.00 × 104 0.0254 1.92 × 104
6.00 × 104 0.0305 2.31 × 104
7.00 × 104 0.0355 2.69 × 104
8.00 × 104 0.0406 3.08 × 104
9.00 × 104 0.0457 3.46 × 104
1.00 × 105 0.0508 3.85 × 104
2.00 × 105 0.102 7.70 × 104
3.00 × 105 0.152 1.15 × 105
4.00 × 105 0.203 1.54 × 105
5.00 × 105 0.254 1.92 × 105
6.00 × 105 0.305 2.31 × 105
7.00 × 105 0.355 2.69 × 105
7.72 × 105 0.392 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 4.71 × 10-4 89.3
60.0 4.87 × 10-4 92.4
70.0 5.69 × 10-4 108
80.0 6.50 × 10-4 123
90.0 7.31 × 10-4 139
100 8.12 × 10-4 154
200 0.00162 308
300 0.00244 462
400 0.00325 616
500 0.00406 770
600 0.00487 924
700 0.00569 1080
800 0.00650 1230
900 0.00731 1390
1000 0.00812 1540
2000 0.0162 3080
3000 0.0244 4620
4000 0.0325 6160
5000 0.0406 7700
6000 0.0487 9240
7000 0.0569 1.08 × 104
8000 0.0650 1.23 × 104
9000 0.0731 1.39 × 104
1.00 × 104 0.0812 1.54 × 104
2.00 × 104 0.162 3.08 × 104
3.00 × 104 0.244 4.62 × 104
4.00 × 104 0.325 6.16 × 104
5.00 × 104 0.406 7.70 × 104
6.00 × 104 0.487 9.24 × 104
7.00 × 104 0.569 1.08 × 105
8.00 × 104 0.650 1.23 × 105
9.00 × 104 0.731 1.39 × 105
1.00 × 105 0.812 1.54 × 105
1.93 × 105 1.57 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.00238 201
60.0 0.00247 208
70.0 0.00288 243
80.0 0.00329 277
90.0 0.00370 312
100 0.00411 346
200 0.00822 693
300 0.0123 1040
400 0.0164 1390
500 0.0206 1730
600 0.0247 2080
700 0.0288 2430
800 0.0329 2770
900 0.0370 3120
1000 0.0411 3460
2000 0.0822 6930
3000 0.123 1.04 × 104
4000 0.164 1.39 × 104
5000 0.206 1.73 × 104
6000 0.247 2.08 × 104
7000 0.288 2.43 × 104
8000 0.329 2.77 × 104
9000 0.370 3.12 × 104
1.00 × 104 0.411 3.46 × 104
2.00 × 104 0.822 6.93 × 104
3.00 × 104 1.23 1.04 × 105
4.00 × 104 1.64 1.39 × 105
5.00 × 104 2.06 1.73 × 105
6.00 × 104 2.47 2.08 × 105
7.00 × 104 2.88 2.43 × 105
8.00 × 104 3.29 2.77 × 105
8.57 × 104 3.53 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.00754 357
60.0 0.00780 370
70.0 0.00910 431
80.0 0.0104 493
90.0 0.0117 554
100 0.0130 616
200 0.0260 1230
300 0.0390 1850
400 0.0520 2460
500 0.0650 3080
600 0.0780 3700
700 0.0910 4310
800 0.104 4930
900 0.117 5540
1000 0.130 6160
2000 0.260 1.23 × 104
3000 0.390 1.85 × 104
4000 0.520 2.46 × 104
5000 0.650 3.08 × 104
6000 0.780 3.70 × 104
7000 0.910 4.31 × 104
8000 1.04 4.93 × 104
9000 1.17 5.54 × 104
1.00 × 104 1.30 6.16 × 104
2.00 × 104 2.60 1.23 × 105
3.00 × 104 3.90 1.85 × 105
4.00 × 104 5.20 2.46 × 105
4.82 × 104 6.27 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.0184 558
60.0 0.0190 577
70.0 0.0222 674
80.0 0.0254 770
90.0 0.0286 866
100 0.0317 962
200 0.0635 1920
300 0.0952 2890
400 0.127 3850
500 0.159 4810
600 0.190 5770
700 0.222 6740
800 0.254 7700
900 0.286 8660
1000 0.317 9620
2000 0.635 1.92 × 104
3000 0.952 2.89 × 104
4000 1.27 3.85 × 104
5000 1.59 4.81 × 104
6000 1.90 5.77 × 104
7000 2.22 6.74 × 104
8000 2.54 7.70 × 104
9000 2.86 8.66 × 104
1.00 × 104 3.17 9.62 × 104
2.00 × 104 6.35 1.92 × 105
3.00 × 104 9.52 2.89 × 105
3.09 × 104 9.79 2.97 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.0382 804
60.0 0.0395 831
70.0 0.0461 970
80.0 0.0526 1110
90.0 0.0592 1250
100 0.0658 1390
200 0.132 2770
300 0.197 4160
400 0.263 5540
500 0.329 6930
600 0.395 8310
700 0.461 9700
800 0.526 1.11 × 104
900 0.592 1.25 × 104
1000 0.658 1.39 × 104
2000 1.32 2.77 × 104
3000 1.97 4.16 × 104
4000 2.63 5.54 × 104
5000 3.29 6.93 × 104
6000 3.95 8.31 × 104
7000 4.61 9.70 × 104
8000 5.26 1.11 × 105
9000 5.92 1.25 × 105
1.00 × 104 6.58 1.39 × 105
1.85 × 104 12.2 2.57 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.121 1430
60.0 0.125 1480
70.0 0.146 1720
80.0 0.166 1970
90.0 0.187 2220
100 0.208 2460
200 0.416 4930
300 0.624 7390
400 0.832 9850
500 1.04 1.23 × 104
600 1.25 1.48 × 104
700 1.46 1.72 × 104
800 1.66 1.97 × 104
900 1.87 2.22 × 104
1000 2.08 2.46 × 104
2000 4.16 4.93 × 104
3000 6.24 7.39 × 104
4000 8.32 9.85 × 104
5000 10.4 1.23 × 105
5860 12.2 1.44 × 105
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.294 2230
60.0 0.305 2310
70.0 0.355 2690
80.0 0.406 3080
90.0 0.457 3460
100 0.508 3850
200 1.02 7700
300 1.52 1.15 × 104
400 2.03 1.54 × 104
500 2.54 1.92 × 104
600 3.05 2.31 × 104
700 3.55 2.69 × 104
800 4.06 3.08 × 104
900 4.57 3.46 × 104
1000 5.08 3.85 × 104
2000 10.2 7.70 × 104
2400 12.2 9.24 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.611 3220
60.0 0.632 3330
70.0 0.737 3880
80.0 0.842 4430
90.0 0.947 4990
100 1.05 5540
200 2.11 1.11 × 104
300 3.16 1.66 × 104
400 4.21 2.22 × 104
500 5.26 2.77 × 104
600 6.32 3.33 × 104
700 7.37 3.88 × 104
800 8.42 4.43 × 104
900 9.47 4.99 × 104
1000 10.5 5.54 × 104
1160 12.2 6.42 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 1.13 4380
60.0 1.17 4530
70.0 1.37 5280
80.0 1.56 6040
90.0 1.76 6790
100 1.95 7540
200 3.90 1.51 × 104
300 5.85 2.26 × 104
400 7.80 3.02 × 104
500 9.75 3.77 × 104
600 11.7 4.53 × 104
625 12.2 4.72 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 1.93 5720
60.0 2.00 5910
70.0 2.33 6900
80.0 2.66 7880
90.0 2.99 8870
100 3.33 9850
200 6.65 1.97 × 104
300 9.98 2.96 × 104
366 12.2 3.61 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 3.09 7230
60.0 3.20 7480
70.0 3.73 8730
80.0 4.26 9980
90.0 4.80 1.12 × 104
100 5.33 1.25 × 104
200 10.7 2.49 × 104
229 12.2 2.85 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 4.71 8930
60.0 4.87 9240
70.0 5.69 1.08 × 104
80.0 6.50 1.23 × 104
90.0 7.31 1.39 × 104
100 8.12 1.54 × 104
150 12.2 2.31 × 104
Steel I Beam: W12 × 58 (Wide Flange 12 inch tall × 58 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 11.5 1.40 × 104
60.0 11.9 1.44 × 104
61.5 12.2 1.48 × 104
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