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Wide Flange Steel I Beam: W12 × 50
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 50
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 = 394 in4) for the W12 × 50 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 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.67 × 10-6 8.95
60.0 4.41 × 10-6 10.7
70.0 5.14 × 10-6 12.5
80.0 5.88 × 10-6 14.3
90.0 6.61 × 10-6 16.1
100 7.35 × 10-6 17.9
200 1.47 × 10-5 35.8
300 2.20 × 10-5 53.7
400 2.94 × 10-5 71.6
500 3.67 × 10-5 89.5
600 4.41 × 10-5 107
700 5.14 × 10-5 125
800 5.88 × 10-5 143
900 6.61 × 10-5 161
1000 7.35 × 10-5 179
2000 1.47 × 10-4 358
3000 2.20 × 10-4 537
4000 2.94 × 10-4 716
5000 3.67 × 10-4 895
6000 4.41 × 10-4 1070
7000 5.14 × 10-4 1250
8000 5.88 × 10-4 1430
9000 6.61 × 10-4 1610
1.00 × 104 7.35 × 10-4 1790
2.00 × 104 0.00147 3580
3.00 × 104 0.00220 5370
4.00 × 104 0.00294 7160
5.00 × 104 0.00367 8950
6.00 × 104 0.00441 1.07 × 104
7.00 × 104 0.00514 1.25 × 104
8.00 × 104 0.00588 1.43 × 104
9.00 × 104 0.00661 1.61 × 104
1.00 × 105 0.00735 1.79 × 104
2.00 × 105 0.0147 3.58 × 104
3.00 × 105 0.0220 5.37 × 104
4.00 × 105 0.0294 7.16 × 104
5.00 × 105 0.0367 8.95 × 104
6.00 × 105 0.0441 1.07 × 105
7.00 × 105 0.0514 1.25 × 105
8.00 × 105 0.0588 1.43 × 105
9.00 × 105 0.0661 1.61 × 105
1.00 × 106 0.0735 1.79 × 105
1.66 × 106 0.122 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.83 × 10-5 24.9
60.0 3.40 × 10-5 29.8
70.0 3.97 × 10-5 34.8
80.0 4.54 × 10-5 39.8
90.0 5.10 × 10-5 44.7
100 5.67 × 10-5 49.7
200 1.13 × 10-4 99.4
300 1.70 × 10-4 149
400 2.27 × 10-4 199
500 2.83 × 10-4 249
600 3.40 × 10-4 298
700 3.97 × 10-4 348
800 4.54 × 10-4 398
900 5.10 × 10-4 447
1000 5.67 × 10-4 497
2000 0.00113 994
3000 0.00170 1490
4000 0.00227 1990
5000 0.00283 2490
6000 0.00340 2980
7000 0.00397 3480
8000 0.00454 3980
9000 0.00510 4470
1.00 × 104 0.00567 4970
2.00 × 104 0.0113 9940
3.00 × 104 0.0170 1.49 × 104
4.00 × 104 0.0227 1.99 × 104
5.00 × 104 0.0283 2.49 × 104
6.00 × 104 0.0340 2.98 × 104
7.00 × 104 0.0397 3.48 × 104
8.00 × 104 0.0454 3.98 × 104
9.00 × 104 0.0510 4.47 × 104
1.00 × 105 0.0567 4.97 × 104
2.00 × 105 0.113 9.94 × 104
3.00 × 105 0.170 1.49 × 105
4.00 × 105 0.227 1.99 × 105
5.00 × 105 0.283 2.49 × 105
5.98 × 105 0.339 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.54 × 10-4 99.4
60.0 5.44 × 10-4 119
70.0 6.35 × 10-4 139
80.0 7.26 × 10-4 159
90.0 8.16 × 10-4 179
100 9.07 × 10-4 199
200 0.00181 398
300 0.00272 596
400 0.00363 795
500 0.00454 994
600 0.00544 1190
700 0.00635 1390
800 0.00726 1590
900 0.00816 1790
1000 0.00907 1990
2000 0.0181 3980
3000 0.0272 5960
4000 0.0363 7950
5000 0.0454 9940
6000 0.0544 1.19 × 104
7000 0.0635 1.39 × 104
8000 0.0726 1.59 × 104
9000 0.0816 1.79 × 104
1.00 × 104 0.0907 1.99 × 104
2.00 × 104 0.181 3.98 × 104
3.00 × 104 0.272 5.96 × 104
4.00 × 104 0.363 7.95 × 104
5.00 × 104 0.454 9.94 × 104
6.00 × 104 0.544 1.19 × 105
7.00 × 104 0.635 1.39 × 105
8.00 × 104 0.726 1.59 × 105
9.00 × 104 0.816 1.79 × 105
1.00 × 105 0.907 1.99 × 105
1.49 × 105 1.36 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00230 224
60.0 0.00276 268
70.0 0.00321 313
80.0 0.00367 358
90.0 0.00413 403
100 0.00459 447
200 0.00919 895
300 0.0138 1340
400 0.0184 1790
500 0.0230 2240
600 0.0276 2680
700 0.0321 3130
800 0.0367 3580
900 0.0413 4030
1000 0.0459 4470
2000 0.0919 8950
3000 0.138 1.34 × 104
4000 0.184 1.79 × 104
5000 0.230 2.24 × 104
6000 0.276 2.68 × 104
7000 0.321 3.13 × 104
8000 0.367 3.58 × 104
9000 0.413 4.03 × 104
1.00 × 104 0.459 4.47 × 104
2.00 × 104 0.919 8.95 × 104
3.00 × 104 1.38 1.34 × 105
4.00 × 104 1.84 1.79 × 105
5.00 × 104 2.30 2.24 × 105
6.00 × 104 2.76 2.68 × 105
6.64 × 104 3.05 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00726 398
60.0 0.00871 477
70.0 0.0102 557
80.0 0.0116 636
90.0 0.0131 716
100 0.0145 795
200 0.0290 1590
300 0.0435 2390
400 0.0581 3180
500 0.0726 3980
600 0.0871 4770
700 0.102 5570
800 0.116 6360
900 0.131 7160
1000 0.145 7950
2000 0.290 1.59 × 104
3000 0.435 2.39 × 104
4000 0.581 3.18 × 104
5000 0.726 3.98 × 104
6000 0.871 4.77 × 104
7000 1.02 5.57 × 104
8000 1.16 6.36 × 104
9000 1.31 7.16 × 104
1.00 × 104 1.45 7.95 × 104
2.00 × 104 2.90 1.59 × 105
3.00 × 104 4.35 2.39 × 105
3.74 × 104 5.42 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0177 621
60.0 0.0213 746
70.0 0.0248 870
80.0 0.0283 994
90.0 0.0319 1120
100 0.0354 1240
200 0.0709 2490
300 0.106 3730
400 0.142 4970
500 0.177 6210
600 0.213 7460
700 0.248 8700
800 0.283 9940
900 0.319 1.12 × 104
1000 0.354 1.24 × 104
2000 0.709 2.49 × 104
3000 1.06 3.73 × 104
4000 1.42 4.97 × 104
5000 1.77 6.21 × 104
6000 2.13 7.46 × 104
7000 2.48 8.70 × 104
8000 2.83 9.94 × 104
9000 3.19 1.12 × 105
1.00 × 104 3.54 1.24 × 105
2.00 × 104 7.09 2.49 × 105
2.39 × 104 8.47 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0367 895
60.0 0.0441 1070
70.0 0.0514 1250
80.0 0.0588 1430
90.0 0.0661 1610
100 0.0735 1790
200 0.147 3580
300 0.220 5370
400 0.294 7160
500 0.367 8950
600 0.441 1.07 × 104
700 0.514 1.25 × 104
800 0.588 1.43 × 104
900 0.661 1.61 × 104
1000 0.735 1.79 × 104
2000 1.47 3.58 × 104
3000 2.20 5.37 × 104
4000 2.94 7.16 × 104
5000 3.67 8.95 × 104
6000 4.41 1.07 × 105
7000 5.14 1.25 × 105
8000 5.88 1.43 × 105
9000 6.61 1.61 × 105
1.00 × 104 7.35 1.79 × 105
1.66 × 104 12.2 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.116 1590
60.0 0.139 1910
70.0 0.163 2230
80.0 0.186 2540
90.0 0.209 2860
100 0.232 3180
200 0.464 6360
300 0.697 9540
400 0.929 1.27 × 104
500 1.16 1.59 × 104
600 1.39 1.91 × 104
700 1.63 2.23 × 104
800 1.86 2.54 × 104
900 2.09 2.86 × 104
1000 2.32 3.18 × 104
2000 4.64 6.36 × 104
3000 6.97 9.54 × 104
4000 9.29 1.27 × 105
5000 11.6 1.59 × 105
5250 12.2 1.67 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.283 2490
60.0 0.340 2980
70.0 0.397 3480
80.0 0.454 3980
90.0 0.510 4470
100 0.567 4970
200 1.13 9940
300 1.70 1.49 × 104
400 2.27 1.99 × 104
500 2.83 2.49 × 104
600 3.40 2.98 × 104
700 3.97 3.48 × 104
800 4.54 3.98 × 104
900 5.10 4.47 × 104
1000 5.67 4.97 × 104
2000 11.3 9.94 × 104
2150 12.2 1.07 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.588 3580
60.0 0.705 4290
70.0 0.823 5010
80.0 0.941 5730
90.0 1.06 6440
100 1.18 7160
200 2.35 1.43 × 104
300 3.53 2.15 × 104
400 4.70 2.86 × 104
500 5.88 3.58 × 104
600 7.05 4.29 × 104
700 8.23 5.01 × 104
800 9.41 5.73 × 104
900 10.6 6.44 × 104
1000 11.8 7.16 × 104
1040 12.2 7.42 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.09 4870
60.0 1.31 5850
70.0 1.52 6820
80.0 1.74 7790
90.0 1.96 8770
100 2.18 9740
200 4.36 1.95 × 104
300 6.53 2.92 × 104
400 8.71 3.90 × 104
500 10.9 4.87 × 104
560 12.2 5.45 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.86 6360
60.0 2.23 7630
70.0 2.60 8910
80.0 2.97 1.02 × 104
90.0 3.34 1.15 × 104
100 3.72 1.27 × 104
200 7.43 2.54 × 104
300 11.1 3.82 × 104
328 12.2 4.17 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.98 8050
60.0 3.57 9660
70.0 4.17 1.13 × 104
80.0 4.76 1.29 × 104
90.0 5.36 1.45 × 104
100 5.95 1.61 × 104
200 11.9 3.22 × 104
205 12.2 3.30 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.54 9940
60.0 5.44 1.19 × 104
70.0 6.35 1.39 × 104
80.0 7.26 1.59 × 104
90.0 8.16 1.79 × 104
100 9.07 1.99 × 104
134 12.2 2.67 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 11.1 1.55 × 104
55.0 12.2 1.71 × 104
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