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Wide Flange Steel I Beam: W12 × 58
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 3.54 × 10-6 8.61
60.0 3.66 × 10-6 8.91
70.0 4.27 × 10-6 10.4
80.0 4.88 × 10-6 11.9
90.0 5.49 × 10-6 13.4
100 6.10 × 10-6 14.8
200 1.22 × 10-5 29.7
300 1.83 × 10-5 44.5
400 2.44 × 10-5 59.4
500 3.05 × 10-5 74.2
600 3.66 × 10-5 89.1
700 4.27 × 10-5 104
800 4.88 × 10-5 119
900 5.49 × 10-5 134
1000 6.10 × 10-5 148
2000 1.22 × 10-4 297
3000 1.83 × 10-4 445
4000 2.44 × 10-4 594
5000 3.05 × 10-4 742
6000 3.66 × 10-4 891
7000 4.27 × 10-4 1040
8000 4.88 × 10-4 1190
9000 5.49 × 10-4 1340
1.00 × 104 6.10 × 10-4 1480
2.00 × 104 0.00122 2970
3.00 × 104 0.00183 4450
4.00 × 104 0.00244 5940
5.00 × 104 0.00305 7420
6.00 × 104 0.00366 8910
7.00 × 104 0.00427 1.04 × 104
8.00 × 104 0.00488 1.19 × 104
9.00 × 104 0.00549 1.34 × 104
1.00 × 105 0.00610 1.48 × 104
2.00 × 105 0.0122 2.97 × 104
3.00 × 105 0.0183 4.45 × 104
4.00 × 105 0.0244 5.94 × 104
5.00 × 105 0.0305 7.42 × 104
6.00 × 105 0.0366 8.91 × 104
7.00 × 105 0.0427 1.04 × 105
8.00 × 105 0.0488 1.19 × 105
9.00 × 105 0.0549 1.34 × 105
1.00 × 106 0.0610 1.48 × 105
2.00 × 106 0.122 2.97 × 105
2.00 × 106 0.122 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 2.73 × 10-5 23.9
60.0 2.82 × 10-5 24.7
70.0 3.29 × 10-5 28.9
80.0 3.76 × 10-5 33.0
90.0 4.23 × 10-5 37.1
100 4.70 × 10-5 41.2
200 9.41 × 10-5 82.5
300 1.41 × 10-4 124
400 1.88 × 10-4 165
500 2.35 × 10-4 206
600 2.82 × 10-4 247
700 3.29 × 10-4 289
800 3.76 × 10-4 330
900 4.23 × 10-4 371
1000 4.70 × 10-4 412
2000 9.41 × 10-4 825
3000 0.00141 1240
4000 0.00188 1650
5000 0.00235 2060
6000 0.00282 2470
7000 0.00329 2890
8000 0.00376 3300
9000 0.00423 3710
1.00 × 104 0.00470 4120
2.00 × 104 0.00941 8250
3.00 × 104 0.0141 1.24 × 104
4.00 × 104 0.0188 1.65 × 104
5.00 × 104 0.0235 2.06 × 104
6.00 × 104 0.0282 2.47 × 104
7.00 × 104 0.0329 2.89 × 104
8.00 × 104 0.0376 3.30 × 104
9.00 × 104 0.0423 3.71 × 104
1.00 × 105 0.0470 4.12 × 104
2.00 × 105 0.0941 8.25 × 104
3.00 × 105 0.141 1.24 × 105
4.00 × 105 0.188 1.65 × 105
5.00 × 105 0.235 2.06 × 105
6.00 × 105 0.282 2.47 × 105
7.00 × 105 0.329 2.89 × 105
7.20 × 105 0.339 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 4.36 × 10-4 95.6
60.0 4.51 × 10-4 98.9
70.0 5.27 × 10-4 115
80.0 6.02 × 10-4 132
90.0 6.77 × 10-4 148
100 7.52 × 10-4 165
200 0.00150 330
300 0.00226 495
400 0.00301 660
500 0.00376 825
600 0.00451 989
700 0.00527 1150
800 0.00602 1320
900 0.00677 1480
1000 0.00752 1650
2000 0.0150 3300
3000 0.0226 4950
4000 0.0301 6600
5000 0.0376 8250
6000 0.0451 9890
7000 0.0527 1.15 × 104
8000 0.0602 1.32 × 104
9000 0.0677 1.48 × 104
1.00 × 104 0.0752 1.65 × 104
2.00 × 104 0.150 3.30 × 104
3.00 × 104 0.226 4.95 × 104
4.00 × 104 0.301 6.60 × 104
5.00 × 104 0.376 8.25 × 104
6.00 × 104 0.451 9.89 × 104
7.00 × 104 0.527 1.15 × 105
8.00 × 104 0.602 1.32 × 105
9.00 × 104 0.677 1.48 × 105
1.00 × 105 0.752 1.65 × 105
1.80 × 105 1.36 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 0.00221 215
60.0 0.00229 223
70.0 0.00267 260
80.0 0.00305 297
90.0 0.00343 334
100 0.00381 371
200 0.00762 742
300 0.0114 1110
400 0.0152 1480
500 0.0190 1860
600 0.0229 2230
700 0.0267 2600
800 0.0305 2970
900 0.0343 3340
1000 0.0381 3710
2000 0.0762 7420
3000 0.114 1.11 × 104
4000 0.152 1.48 × 104
5000 0.190 1.86 × 104
6000 0.229 2.23 × 104
7000 0.267 2.60 × 104
8000 0.305 2.97 × 104
9000 0.343 3.34 × 104
1.00 × 104 0.381 3.71 × 104
2.00 × 104 0.762 7.42 × 104
3.00 × 104 1.14 1.11 × 105
4.00 × 104 1.52 1.48 × 105
5.00 × 104 1.90 1.86 × 105
6.00 × 104 2.29 2.23 × 105
7.00 × 104 2.67 2.60 × 105
8.00 × 104 3.05 2.97 × 105
8.01 × 104 3.05 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 0.00698 383
60.0 0.00722 396
70.0 0.00843 462
80.0 0.00963 528
90.0 0.0108 594
100 0.0120 660
200 0.0241 1320
300 0.0361 1980
400 0.0482 2640
500 0.0602 3300
600 0.0722 3960
700 0.0843 4620
800 0.0963 5280
900 0.108 5940
1000 0.120 6600
2000 0.241 1.32 × 104
3000 0.361 1.98 × 104
4000 0.482 2.64 × 104
5000 0.602 3.30 × 104
6000 0.722 3.96 × 104
7000 0.843 4.62 × 104
8000 0.963 5.28 × 104
9000 1.08 5.94 × 104
1.00 × 104 1.20 6.60 × 104
2.00 × 104 2.41 1.32 × 105
3.00 × 104 3.61 1.98 × 105
4.00 × 104 4.82 2.64 × 105
4.50 × 104 5.42 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 0.0170 598
60.0 0.0176 618
70.0 0.0206 721
80.0 0.0235 825
90.0 0.0265 928
100 0.0294 1030
200 0.0588 2060
300 0.0882 3090
400 0.118 4120
500 0.147 5150
600 0.176 6180
700 0.206 7210
800 0.235 8250
900 0.265 9280
1000 0.294 1.03 × 104
2000 0.588 2.06 × 104
3000 0.882 3.09 × 104
4000 1.18 4.12 × 104
5000 1.47 5.15 × 104
6000 1.76 6.18 × 104
7000 2.06 7.21 × 104
8000 2.35 8.25 × 104
9000 2.65 9.28 × 104
1.00 × 104 2.94 1.03 × 105
2.00 × 104 5.88 2.06 × 105
2.88 × 104 8.47 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 0.0354 861
60.0 0.0366 891
70.0 0.0427 1040
80.0 0.0488 1190
90.0 0.0549 1340
100 0.0610 1480
200 0.122 2970
300 0.183 4450
400 0.244 5940
500 0.305 7420
600 0.366 8910
700 0.427 1.04 × 104
800 0.488 1.19 × 104
900 0.549 1.34 × 104
1000 0.610 1.48 × 104
2000 1.22 2.97 × 104
3000 1.83 4.45 × 104
4000 2.44 5.94 × 104
5000 3.05 7.42 × 104
6000 3.66 8.91 × 104
7000 4.27 1.04 × 105
8000 4.88 1.19 × 105
9000 5.49 1.34 × 105
1.00 × 104 6.10 1.48 × 105
2.00 × 104 12.2 2.97 × 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 0.112 1530
60.0 0.116 1580
70.0 0.135 1850
80.0 0.154 2110
90.0 0.173 2370
100 0.193 2640
200 0.385 5280
300 0.578 7920
400 0.771 1.06 × 104
500 0.963 1.32 × 104
600 1.16 1.58 × 104
700 1.35 1.85 × 104
800 1.54 2.11 × 104
900 1.73 2.37 × 104
1000 1.93 2.64 × 104
2000 3.85 5.28 × 104
3000 5.78 7.92 × 104
4000 7.71 1.06 × 105
5000 9.63 1.32 × 105
6000 11.6 1.58 × 105
6330 12.2 1.67 × 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 0.273 2390
60.0 0.282 2470
70.0 0.329 2890
80.0 0.376 3300
90.0 0.423 3710
100 0.470 4120
200 0.941 8250
300 1.41 1.24 × 104
400 1.88 1.65 × 104
500 2.35 2.06 × 104
600 2.82 2.47 × 104
700 3.29 2.89 × 104
800 3.76 3.30 × 104
900 4.23 3.71 × 104
1000 4.70 4.12 × 104
2000 9.41 8.25 × 104
2590 12.2 1.07 × 105
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 0.566 3440
60.0 0.585 3560
70.0 0.683 4160
80.0 0.780 4750
90.0 0.878 5340
100 0.975 5940
200 1.95 1.19 × 104
300 2.93 1.78 × 104
400 3.90 2.37 × 104
500 4.88 2.97 × 104
600 5.85 3.56 × 104
700 6.83 4.16 × 104
800 7.80 4.75 × 104
900 8.78 5.34 × 104
1000 9.75 5.94 × 104
1250 12.2 7.42 × 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 1.05 4690
60.0 1.08 4850
70.0 1.26 5660
80.0 1.45 6460
90.0 1.63 7270
100 1.81 8080
200 3.61 1.62 × 104
300 5.42 2.42 × 104
400 7.23 3.23 × 104
500 9.03 4.04 × 104
600 10.8 4.85 × 104
675 12.2 5.45 × 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 1.79 6120
60.0 1.85 6330
70.0 2.16 7390
80.0 2.47 8440
90.0 2.77 9500
100 3.08 1.06 × 104
200 6.16 2.11 × 104
300 9.25 3.17 × 104
396 12.2 4.17 × 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 2.86 7750
60.0 2.96 8010
70.0 3.46 9350
80.0 3.95 1.07 × 104
90.0 4.44 1.20 × 104
100 4.94 1.34 × 104
200 9.87 2.67 × 104
247 12.2 3.30 × 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 4.36 9560
60.0 4.51 9890
70.0 5.27 1.15 × 104
80.0 6.02 1.32 × 104
90.0 6.77 1.48 × 104
100 7.52 1.65 × 104
162 12.2 2.67 × 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 10.7 1.49 × 104
60.0 11.0 1.55 × 104
66.4 12.2 1.71 × 104
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