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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 136
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 = 1240 in4) for the W12 × 136 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 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 3.43 × 10-6 7.94
200 5.04 × 10-6 11.7
300 7.56 × 10-6 17.5
400 1.01 × 10-5 23.4
500 1.26 × 10-5 29.2
600 1.51 × 10-5 35.0
700 1.76 × 10-5 40.9
800 2.02 × 10-5 46.7
900 2.27 × 10-5 52.6
1000 2.52 × 10-5 58.4
2000 5.04 × 10-5 117
3000 7.56 × 10-5 175
4000 1.01 × 10-4 234
5000 1.26 × 10-4 292
6000 1.51 × 10-4 350
7000 1.76 × 10-4 409
8000 2.02 × 10-4 467
9000 2.27 × 10-4 526
1.00 × 104 2.52 × 10-4 584
2.00 × 104 5.04 × 10-4 1170
3.00 × 104 7.56 × 10-4 1750
4.00 × 104 0.00101 2340
5.00 × 104 0.00126 2920
6.00 × 104 0.00151 3500
7.00 × 104 0.00176 4090
8.00 × 104 0.00202 4670
9.00 × 104 0.00227 5260
1.00 × 105 0.00252 5840
2.00 × 105 0.00504 1.17 × 104
3.00 × 105 0.00756 1.75 × 104
4.00 × 105 0.0101 2.34 × 104
5.00 × 105 0.0126 2.92 × 104
6.00 × 105 0.0151 3.50 × 104
7.00 × 105 0.0176 4.09 × 104
8.00 × 105 0.0202 4.67 × 104
9.00 × 105 0.0227 5.26 × 104
1.00 × 106 0.0252 5.84 × 104
2.00 × 106 0.0504 1.17 × 105
3.00 × 106 0.0756 1.75 × 105
4.00 × 106 0.101 2.34 × 105
5.00 × 106 0.126 2.92 × 105
5.09 × 106 0.128 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 2.64 × 10-5 22.1
200 3.89 × 10-5 32.4
300 5.83 × 10-5 48.7
400 7.78 × 10-5 64.9
500 9.72 × 10-5 81.1
600 1.17 × 10-4 97.3
700 1.36 × 10-4 114
800 1.56 × 10-4 130
900 1.75 × 10-4 146
1000 1.94 × 10-4 162
2000 3.89 × 10-4 324
3000 5.83 × 10-4 487
4000 7.78 × 10-4 649
5000 9.72 × 10-4 811
6000 0.00117 973
7000 0.00136 1140
8000 0.00156 1300
9000 0.00175 1460
1.00 × 104 0.00194 1620
2.00 × 104 0.00389 3240
3.00 × 104 0.00583 4870
4.00 × 104 0.00778 6490
5.00 × 104 0.00972 8110
6.00 × 104 0.0117 9730
7.00 × 104 0.0136 1.14 × 104
8.00 × 104 0.0156 1.30 × 104
9.00 × 104 0.0175 1.46 × 104
1.00 × 105 0.0194 1.62 × 104
2.00 × 105 0.0389 3.24 × 104
3.00 × 105 0.0583 4.87 × 104
4.00 × 105 0.0778 6.49 × 104
5.00 × 105 0.0972 8.11 × 104
6.00 × 105 0.117 9.73 × 104
7.00 × 105 0.136 1.14 × 105
8.00 × 105 0.156 1.30 × 105
9.00 × 105 0.175 1.46 × 105
1.00 × 106 0.194 1.62 × 105
1.83 × 106 0.356 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 4.23 × 10-4 88.2
200 6.22 × 10-4 130
300 9.33 × 10-4 195
400 0.00124 260
500 0.00156 324
600 0.00187 389
700 0.00218 454
800 0.00249 519
900 0.00280 584
1000 0.00311 649
2000 0.00622 1300
3000 0.00933 1950
4000 0.0124 2600
5000 0.0156 3240
6000 0.0187 3890
7000 0.0218 4540
8000 0.0249 5190
9000 0.0280 5840
1.00 × 104 0.0311 6490
2.00 × 104 0.0622 1.30 × 104
3.00 × 104 0.0933 1.95 × 104
4.00 × 104 0.124 2.60 × 104
5.00 × 104 0.156 3.24 × 104
6.00 × 104 0.187 3.89 × 104
7.00 × 104 0.218 4.54 × 104
8.00 × 104 0.249 5.19 × 104
9.00 × 104 0.280 5.84 × 104
1.00 × 105 0.311 6.49 × 104
2.00 × 105 0.622 1.30 × 105
3.00 × 105 0.933 1.95 × 105
4.00 × 105 1.24 2.60 × 105
4.58 × 105 1.42 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.00214 199
200 0.00315 292
300 0.00473 438
400 0.00630 584
500 0.00788 730
600 0.00945 876
700 0.0110 1020
800 0.0126 1170
900 0.0142 1310
1000 0.0158 1460
2000 0.0315 2920
3000 0.0473 4380
4000 0.0630 5840
5000 0.0788 7300
6000 0.0945 8760
7000 0.110 1.02 × 104
8000 0.126 1.17 × 104
9000 0.142 1.31 × 104
1.00 × 104 0.158 1.46 × 104
2.00 × 104 0.315 2.92 × 104
3.00 × 104 0.473 4.38 × 104
4.00 × 104 0.630 5.84 × 104
5.00 × 104 0.788 7.30 × 104
6.00 × 104 0.945 8.76 × 104
7.00 × 104 1.10 1.02 × 105
8.00 × 104 1.26 1.17 × 105
9.00 × 104 1.42 1.31 × 105
1.00 × 105 1.58 1.46 × 105
2.00 × 105 3.15 2.92 × 105
2.03 × 105 3.20 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.00677 353
200 0.00996 519
300 0.0149 779
400 0.0199 1040
500 0.0249 1300
600 0.0299 1560
700 0.0348 1820
800 0.0398 2080
900 0.0448 2340
1000 0.0498 2600
2000 0.0996 5190
3000 0.149 7790
4000 0.199 1.04 × 104
5000 0.249 1.30 × 104
6000 0.299 1.56 × 104
7000 0.348 1.82 × 104
8000 0.398 2.08 × 104
9000 0.448 2.34 × 104
1.00 × 104 0.498 2.60 × 104
2.00 × 104 0.996 5.19 × 104
3.00 × 104 1.49 7.79 × 104
4.00 × 104 1.99 1.04 × 105
5.00 × 104 2.49 1.30 × 105
6.00 × 104 2.99 1.56 × 105
7.00 × 104 3.48 1.82 × 105
8.00 × 104 3.98 2.08 × 105
9.00 × 104 4.48 2.34 × 105
1.00 × 105 4.98 2.60 × 105
1.14 × 105 5.70 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.0165 552
200 0.0243 811
300 0.0365 1220
400 0.0486 1620
500 0.0608 2030
600 0.0729 2430
700 0.0851 2840
800 0.0972 3240
900 0.109 3650
1000 0.122 4060
2000 0.243 8110
3000 0.365 1.22 × 104
4000 0.486 1.62 × 104
5000 0.608 2.03 × 104
6000 0.729 2.43 × 104
7000 0.851 2.84 × 104
8000 0.972 3.24 × 104
9000 1.09 3.65 × 104
1.00 × 104 1.22 4.06 × 104
2.00 × 104 2.43 8.11 × 104
3.00 × 104 3.65 1.22 × 105
4.00 × 104 4.86 1.62 × 105
5.00 × 104 6.08 2.03 × 105
6.00 × 104 7.29 2.43 × 105
7.00 × 104 8.51 2.84 × 105
7.32 × 104 8.90 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.0343 794
200 0.0504 1170
300 0.0756 1750
400 0.101 2340
500 0.126 2920
600 0.151 3500
700 0.176 4090
800 0.202 4670
900 0.227 5260
1000 0.252 5840
2000 0.504 1.17 × 104
3000 0.756 1.75 × 104
4000 1.01 2.34 × 104
5000 1.26 2.92 × 104
6000 1.51 3.50 × 104
7000 1.76 4.09 × 104
8000 2.02 4.67 × 104
9000 2.27 5.26 × 104
1.00 × 104 2.52 5.84 × 104
2.00 × 104 5.04 1.17 × 105
3.00 × 104 7.56 1.75 × 105
4.00 × 104 10.1 2.34 × 105
5.00 × 104 12.6 2.92 × 105
5.09 × 104 12.8 2.97 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.108 1410
200 0.159 2080
300 0.239 3110
400 0.319 4150
500 0.398 5190
600 0.478 6230
700 0.558 7270
800 0.637 8310
900 0.717 9340
1000 0.796 1.04 × 104
2000 1.59 2.08 × 104
3000 2.39 3.11 × 104
4000 3.19 4.15 × 104
5000 3.98 5.19 × 104
6000 4.78 6.23 × 104
7000 5.58 7.27 × 104
8000 6.37 8.31 × 104
9000 7.17 9.34 × 104
1.00 × 104 7.96 1.04 × 105
1.68 × 104 13.4 1.75 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.264 2210
200 0.389 3240
300 0.583 4870
400 0.778 6490
500 0.972 8110
600 1.17 9730
700 1.36 1.14 × 104
800 1.56 1.30 × 104
900 1.75 1.46 × 104
1000 1.94 1.62 × 104
2000 3.89 3.24 × 104
3000 5.83 4.87 × 104
4000 7.78 6.49 × 104
5000 9.72 8.11 × 104
6000 11.7 9.73 × 104
6900 13.4 1.12 × 105
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 0.548 3180
200 0.806 4670
300 1.21 7010
400 1.61 9340
500 2.02 1.17 × 104
600 2.42 1.40 × 104
700 2.82 1.64 × 104
800 3.23 1.87 × 104
900 3.63 2.10 × 104
1000 4.03 2.34 × 104
2000 8.06 4.67 × 104
3000 12.1 7.01 × 104
3330 13.4 7.77 × 104
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 1.02 4320
200 1.49 6360
300 2.24 9540
400 2.99 1.27 × 104
500 3.74 1.59 × 104
600 4.48 1.91 × 104
700 5.23 2.23 × 104
800 5.98 2.54 × 104
900 6.72 2.86 × 104
1000 7.47 3.18 × 104
1800 13.4 5.71 × 104
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 1.73 5650
200 2.55 8310
300 3.82 1.25 × 104
400 5.10 1.66 × 104
500 6.37 2.08 × 104
600 7.65 2.49 × 104
700 8.92 2.91 × 104
800 10.2 3.32 × 104
900 11.5 3.74 × 104
1000 12.7 4.15 × 104
1050 13.4 4.37 × 104
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 2.78 7150
200 4.08 1.05 × 104
300 6.12 1.58 × 104
400 8.17 2.10 × 104
500 10.2 2.63 × 104
600 12.2 3.15 × 104
657 13.4 3.45 × 104
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 4.23 8820
200 6.22 1.30 × 104
300 9.33 1.95 × 104
400 12.4 2.60 × 104
431 13.4 2.80 × 104
Steel I Beam: W12 × 136 (Wide Flange 12 inch tall × 136 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
136 10.3 1.38 × 104
177 13.4 1.79 × 104
Additional Information
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