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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W12 × 106
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 = 933 in4) for the W12 × 106 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 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 6.80 × 10-6 9.89
200 1.28 × 10-5 18.7
300 1.92 × 10-5 28.0
400 2.57 × 10-5 37.3
500 3.21 × 10-5 46.6
600 3.85 × 10-5 56.0
700 4.49 × 10-5 65.3
800 5.13 × 10-5 74.6
900 5.77 × 10-5 83.9
1000 6.41 × 10-5 93.3
2000 1.28 × 10-4 187
3000 1.92 × 10-4 280
4000 2.57 × 10-4 373
5000 3.21 × 10-4 466
6000 3.85 × 10-4 560
7000 4.49 × 10-4 653
8000 5.13 × 10-4 746
9000 5.77 × 10-4 839
1.00 × 104 6.41 × 10-4 933
2.00 × 104 0.00128 1870
3.00 × 104 0.00192 2800
4.00 × 104 0.00257 3730
5.00 × 104 0.00321 4660
6.00 × 104 0.00385 5600
7.00 × 104 0.00449 6530
8.00 × 104 0.00513 7460
9.00 × 104 0.00577 8390
1.00 × 105 0.00641 9330
2.00 × 105 0.0128 1.87 × 104
3.00 × 105 0.0192 2.80 × 104
4.00 × 105 0.0257 3.73 × 104
5.00 × 105 0.0321 4.66 × 104
6.00 × 105 0.0385 5.60 × 104
7.00 × 105 0.0449 6.53 × 104
8.00 × 105 0.0513 7.46 × 104
9.00 × 105 0.0577 8.39 × 104
1.00 × 106 0.0641 9.33 × 104
2.00 × 106 0.128 1.87 × 105
3.00 × 106 0.192 2.80 × 105
3.19 × 106 0.204 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 5.25 × 10-5 27.5
200 9.90 × 10-5 51.8
300 1.48 × 10-4 77.7
400 1.98 × 10-4 104
500 2.47 × 10-4 130
600 2.97 × 10-4 155
700 3.46 × 10-4 181
800 3.96 × 10-4 207
900 4.45 × 10-4 233
1000 4.95 × 10-4 259
2000 9.90 × 10-4 518
3000 0.00148 777
4000 0.00198 1040
5000 0.00247 1300
6000 0.00297 1550
7000 0.00346 1810
8000 0.00396 2070
9000 0.00445 2330
1.00 × 104 0.00495 2590
2.00 × 104 0.00990 5180
3.00 × 104 0.0148 7770
4.00 × 104 0.0198 1.04 × 104
5.00 × 104 0.0247 1.30 × 104
6.00 × 104 0.0297 1.55 × 104
7.00 × 104 0.0346 1.81 × 104
8.00 × 104 0.0396 2.07 × 104
9.00 × 104 0.0445 2.33 × 104
1.00 × 105 0.0495 2.59 × 104
2.00 × 105 0.0990 5.18 × 104
3.00 × 105 0.148 7.77 × 104
4.00 × 105 0.198 1.04 × 105
5.00 × 105 0.247 1.30 × 105
6.00 × 105 0.297 1.55 × 105
7.00 × 105 0.346 1.81 × 105
8.00 × 105 0.396 2.07 × 105
9.00 × 105 0.445 2.33 × 105
1.00 × 106 0.495 2.59 × 105
1.15 × 106 0.567 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 8.39 × 10-4 110
200 0.00158 207
300 0.00238 311
400 0.00317 414
500 0.00396 518
600 0.00475 622
700 0.00554 725
800 0.00633 829
900 0.00713 933
1000 0.00792 1040
2000 0.0158 2070
3000 0.0238 3110
4000 0.0317 4140
5000 0.0396 5180
6000 0.0475 6220
7000 0.0554 7250
8000 0.0633 8290
9000 0.0713 9330
1.00 × 104 0.0792 1.04 × 104
2.00 × 104 0.158 2.07 × 104
3.00 × 104 0.238 3.11 × 104
4.00 × 104 0.317 4.14 × 104
5.00 × 104 0.396 5.18 × 104
6.00 × 104 0.475 6.22 × 104
7.00 × 104 0.554 7.25 × 104
8.00 × 104 0.633 8.29 × 104
9.00 × 104 0.713 9.33 × 104
1.00 × 105 0.792 1.04 × 105
2.00 × 105 1.58 2.07 × 105
2.87 × 105 2.27 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.00425 247
200 0.00802 466
300 0.0120 699
400 0.0160 933
500 0.0200 1170
600 0.0241 1400
700 0.0281 1630
800 0.0321 1870
900 0.0361 2100
1000 0.0401 2330
2000 0.0802 4660
3000 0.120 6990
4000 0.160 9330
5000 0.200 1.17 × 104
6000 0.241 1.40 × 104
7000 0.281 1.63 × 104
8000 0.321 1.87 × 104
9000 0.361 2.10 × 104
1.00 × 104 0.401 2.33 × 104
2.00 × 104 0.802 4.66 × 104
3.00 × 104 1.20 6.99 × 104
4.00 × 104 1.60 9.33 × 104
5.00 × 104 2.00 1.17 × 105
6.00 × 104 2.41 1.40 × 105
7.00 × 104 2.81 1.63 × 105
8.00 × 104 3.21 1.87 × 105
9.00 × 104 3.61 2.10 × 105
1.00 × 105 4.01 2.33 × 105
1.27 × 105 5.11 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0134 439
200 0.0253 829
300 0.0380 1240
400 0.0507 1660
500 0.0633 2070
600 0.0760 2490
700 0.0887 2900
800 0.101 3320
900 0.114 3730
1000 0.127 4140
2000 0.253 8290
3000 0.380 1.24 × 104
4000 0.507 1.66 × 104
5000 0.633 2.07 × 104
6000 0.760 2.49 × 104
7000 0.887 2.90 × 104
8000 1.01 3.32 × 104
9000 1.14 3.73 × 104
1.00 × 104 1.27 4.14 × 104
2.00 × 104 2.53 8.29 × 104
3.00 × 104 3.80 1.24 × 105
4.00 × 104 5.07 1.66 × 105
5.00 × 104 6.33 2.07 × 105
6.00 × 104 7.60 2.49 × 105
7.00 × 104 8.87 2.90 × 105
7.17 × 104 9.08 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0328 686
200 0.0619 1300
300 0.0928 1940
400 0.124 2590
500 0.155 3240
600 0.186 3890
700 0.216 4530
800 0.247 5180
900 0.278 5830
1000 0.309 6480
2000 0.619 1.30 × 104
3000 0.928 1.94 × 104
4000 1.24 2.59 × 104
5000 1.55 3.24 × 104
6000 1.86 3.89 × 104
7000 2.16 4.53 × 104
8000 2.47 5.18 × 104
9000 2.78 5.83 × 104
1.00 × 104 3.09 6.48 × 104
2.00 × 104 6.19 1.30 × 105
3.00 × 104 9.28 1.94 × 105
4.00 × 104 12.4 2.59 × 105
4.59 × 104 14.2 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0680 989
200 0.128 1870
300 0.192 2800
400 0.257 3730
500 0.321 4660
600 0.385 5600
700 0.449 6530
800 0.513 7460
900 0.577 8390
1000 0.641 9330
2000 1.28 1.87 × 104
3000 1.92 2.80 × 104
4000 2.57 3.73 × 104
5000 3.21 4.66 × 104
6000 3.85 5.60 × 104
7000 4.49 6.53 × 104
8000 5.13 7.46 × 104
9000 5.77 8.39 × 104
1.00 × 104 6.41 9.33 × 104
2.00 × 104 12.8 1.87 × 105
2.01 × 104 12.9 1.87 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.215 1760
200 0.405 3320
300 0.608 4970
400 0.811 6630
500 1.01 8290
600 1.22 9950
700 1.42 1.16 × 104
800 1.62 1.33 × 104
900 1.82 1.49 × 104
1000 2.03 1.66 × 104
2000 4.05 3.32 × 104
3000 6.08 4.97 × 104
4000 8.11 6.63 × 104
5000 10.1 8.29 × 104
6000 12.2 9.95 × 104
6360 12.9 1.05 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.525 2750
200 0.990 5180
300 1.48 7770
400 1.98 1.04 × 104
500 2.47 1.30 × 104
600 2.97 1.55 × 104
700 3.46 1.81 × 104
800 3.96 2.07 × 104
900 4.45 2.33 × 104
1000 4.95 2.59 × 104
2000 9.90 5.18 × 104
2600 12.9 6.75 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.09 3950
200 2.05 7460
300 3.08 1.12 × 104
400 4.10 1.49 × 104
500 5.13 1.87 × 104
600 6.16 2.24 × 104
700 7.18 2.61 × 104
800 8.21 2.98 × 104
900 9.24 3.36 × 104
1000 10.3 3.73 × 104
1260 12.9 4.69 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 2.02 5380
200 3.80 1.02 × 104
300 5.70 1.52 × 104
400 7.60 2.03 × 104
500 9.51 2.54 × 104
600 11.4 3.05 × 104
678 12.9 3.44 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 3.44 7030
200 6.49 1.33 × 104
300 9.73 1.99 × 104
397 12.9 2.64 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 5.51 8900
200 10.4 1.68 × 104
248 12.9 2.08 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 8.39 1.10 × 104
163 12.9 1.69 × 104
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