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Wide Flange Steel I Beam: W12 × 50
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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 3.04 × 10-6 10.4
60.0 3.64 × 10-6 12.5
70.0 4.25 × 10-6 14.6
80.0 4.86 × 10-6 16.7
90.0 5.47 × 10-6 18.8
100 6.07 × 10-6 20.9
200 1.21 × 10-5 41.8
300 1.82 × 10-5 62.7
400 2.43 × 10-5 83.5
500 3.04 × 10-5 104
600 3.64 × 10-5 125
700 4.25 × 10-5 146
800 4.86 × 10-5 167
900 5.47 × 10-5 188
1000 6.07 × 10-5 209
2000 1.21 × 10-4 418
3000 1.82 × 10-4 627
4000 2.43 × 10-4 835
5000 3.04 × 10-4 1040
6000 3.64 × 10-4 1250
7000 4.25 × 10-4 1460
8000 4.86 × 10-4 1670
9000 5.47 × 10-4 1880
1.00 × 104 6.07 × 10-4 2090
2.00 × 104 0.00121 4180
3.00 × 104 0.00182 6270
4.00 × 104 0.00243 8350
5.00 × 104 0.00304 1.04 × 104
6.00 × 104 0.00364 1.25 × 104
7.00 × 104 0.00425 1.46 × 104
8.00 × 104 0.00486 1.67 × 104
9.00 × 104 0.00547 1.88 × 104
1.00 × 105 0.00607 2.09 × 104
2.00 × 105 0.0121 4.18 × 104
3.00 × 105 0.0182 6.27 × 104
4.00 × 105 0.0243 8.35 × 104
5.00 × 105 0.0304 1.04 × 105
6.00 × 105 0.0364 1.25 × 105
7.00 × 105 0.0425 1.46 × 105
8.00 × 105 0.0486 1.67 × 105
9.00 × 105 0.0547 1.88 × 105
1.00 × 106 0.0607 2.09 × 105
1.42 × 106 0.0864 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 2.34 × 10-5 29.0
60.0 2.81 × 10-5 34.8
70.0 3.28 × 10-5 40.6
80.0 3.75 × 10-5 46.4
90.0 4.22 × 10-5 52.2
100 4.69 × 10-5 58.0
200 9.37 × 10-5 116
300 1.41 × 10-4 174
400 1.87 × 10-4 232
500 2.34 × 10-4 290
600 2.81 × 10-4 348
700 3.28 × 10-4 406
800 3.75 × 10-4 464
900 4.22 × 10-4 522
1000 4.69 × 10-4 580
2000 9.37 × 10-4 1160
3000 0.00141 1740
4000 0.00187 2320
5000 0.00234 2900
6000 0.00281 3480
7000 0.00328 4060
8000 0.00375 4640
9000 0.00422 5220
1.00 × 104 0.00469 5800
2.00 × 104 0.00937 1.16 × 104
3.00 × 104 0.0141 1.74 × 104
4.00 × 104 0.0187 2.32 × 104
5.00 × 104 0.0234 2.90 × 104
6.00 × 104 0.0281 3.48 × 104
7.00 × 104 0.0328 4.06 × 104
8.00 × 104 0.0375 4.64 × 104
9.00 × 104 0.0422 5.22 × 104
1.00 × 105 0.0469 5.80 × 104
2.00 × 105 0.0937 1.16 × 105
3.00 × 105 0.141 1.74 × 105
4.00 × 105 0.187 2.32 × 105
5.00 × 105 0.234 2.90 × 105
5.12 × 105 0.240 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 3.75 × 10-4 116
60.0 4.50 × 10-4 139
70.0 5.25 × 10-4 162
80.0 6.00 × 10-4 186
90.0 6.75 × 10-4 209
100 7.50 × 10-4 232
200 0.00150 464
300 0.00225 696
400 0.00300 928
500 0.00375 1160
600 0.00450 1390
700 0.00525 1620
800 0.00600 1860
900 0.00675 2090
1000 0.00750 2320
2000 0.0150 4640
3000 0.0225 6960
4000 0.0300 9280
5000 0.0375 1.16 × 104
6000 0.0450 1.39 × 104
7000 0.0525 1.62 × 104
8000 0.0600 1.86 × 104
9000 0.0675 2.09 × 104
1.00 × 104 0.0750 2.32 × 104
2.00 × 104 0.150 4.64 × 104
3.00 × 104 0.225 6.96 × 104
4.00 × 104 0.300 9.28 × 104
5.00 × 104 0.375 1.16 × 105
6.00 × 104 0.450 1.39 × 105
7.00 × 104 0.525 1.62 × 105
8.00 × 104 0.600 1.86 × 105
9.00 × 104 0.675 2.09 × 105
1.00 × 105 0.750 2.32 × 105
1.28 × 105 0.960 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 0.00190 261
60.0 0.00228 313
70.0 0.00266 365
80.0 0.00304 418
90.0 0.00342 470
100 0.00380 522
200 0.00759 1040
300 0.0114 1570
400 0.0152 2090
500 0.0190 2610
600 0.0228 3130
700 0.0266 3650
800 0.0304 4180
900 0.0342 4700
1000 0.0380 5220
2000 0.0759 1.04 × 104
3000 0.114 1.57 × 104
4000 0.152 2.09 × 104
5000 0.190 2.61 × 104
6000 0.228 3.13 × 104
7000 0.266 3.65 × 104
8000 0.304 4.18 × 104
9000 0.342 4.70 × 104
1.00 × 104 0.380 5.22 × 104
2.00 × 104 0.759 1.04 × 105
3.00 × 104 1.14 1.57 × 105
4.00 × 104 1.52 2.09 × 105
5.00 × 104 1.90 2.61 × 105
5.69 × 104 2.16 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 0.00600 464
60.0 0.00720 557
70.0 0.00840 650
80.0 0.00960 743
90.0 0.0108 835
100 0.0120 928
200 0.0240 1860
300 0.0360 2780
400 0.0480 3710
500 0.0600 4640
600 0.0720 5570
700 0.0840 6500
800 0.0960 7430
900 0.108 8350
1000 0.120 9280
2000 0.240 1.86 × 104
3000 0.360 2.78 × 104
4000 0.480 3.71 × 104
5000 0.600 4.64 × 104
6000 0.720 5.57 × 104
7000 0.840 6.50 × 104
8000 0.960 7.43 × 104
9000 1.08 8.35 × 104
1.00 × 104 1.20 9.28 × 104
2.00 × 104 2.40 1.86 × 105
3.00 × 104 3.60 2.78 × 105
3.20 × 104 3.84 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 0.0146 725
60.0 0.0176 870
70.0 0.0205 1020
80.0 0.0234 1160
90.0 0.0264 1310
100 0.0293 1450
200 0.0586 2900
300 0.0879 4350
400 0.117 5800
500 0.146 7250
600 0.176 8700
700 0.205 1.02 × 104
800 0.234 1.16 × 104
900 0.264 1.31 × 104
1000 0.293 1.45 × 104
2000 0.586 2.90 × 104
3000 0.879 4.35 × 104
4000 1.17 5.80 × 104
5000 1.46 7.25 × 104
6000 1.76 8.70 × 104
7000 2.05 1.02 × 105
8000 2.34 1.16 × 105
9000 2.64 1.31 × 105
1.00 × 104 2.93 1.45 × 105
2.00 × 104 5.86 2.90 × 105
2.05 × 104 6.00 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 0.0304 1040
60.0 0.0364 1250
70.0 0.0425 1460
80.0 0.0486 1670
90.0 0.0547 1880
100 0.0607 2090
200 0.121 4180
300 0.182 6270
400 0.243 8350
500 0.304 1.04 × 104
600 0.364 1.25 × 104
700 0.425 1.46 × 104
800 0.486 1.67 × 104
900 0.547 1.88 × 104
1000 0.607 2.09 × 104
2000 1.21 4.18 × 104
3000 1.82 6.27 × 104
4000 2.43 8.35 × 104
5000 3.04 1.04 × 105
6000 3.64 1.25 × 105
7000 4.25 1.46 × 105
8000 4.86 1.67 × 105
9000 5.47 1.88 × 105
1.00 × 104 6.07 2.09 × 105
1.42 × 104 8.64 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 0.0960 1860
60.0 0.115 2230
70.0 0.134 2600
80.0 0.154 2970
90.0 0.173 3340
100 0.192 3710
200 0.384 7430
300 0.576 1.11 × 104
400 0.768 1.49 × 104
500 0.960 1.86 × 104
600 1.15 2.23 × 104
700 1.34 2.60 × 104
800 1.54 2.97 × 104
900 1.73 3.34 × 104
1000 1.92 3.71 × 104
2000 3.84 7.43 × 104
3000 5.76 1.11 × 105
4000 7.68 1.49 × 105
5000 9.60 1.86 × 105
6000 11.5 2.23 × 105
6350 12.2 2.36 × 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 0.234 2900
60.0 0.281 3480
70.0 0.328 4060
80.0 0.375 4640
90.0 0.422 5220
100 0.469 5800
200 0.937 1.16 × 104
300 1.41 1.74 × 104
400 1.87 2.32 × 104
500 2.34 2.90 × 104
600 2.81 3.48 × 104
700 3.28 4.06 × 104
800 3.75 4.64 × 104
900 4.22 5.22 × 104
1000 4.69 5.80 × 104
2000 9.37 1.16 × 105
2600 12.2 1.51 × 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 0.486 4180
60.0 0.583 5010
70.0 0.680 5850
80.0 0.778 6680
90.0 0.875 7520
100 0.972 8350
200 1.94 1.67 × 104
300 2.92 2.51 × 104
400 3.89 3.34 × 104
500 4.86 4.18 × 104
600 5.83 5.01 × 104
700 6.80 5.85 × 104
800 7.78 6.68 × 104
900 8.75 7.52 × 104
1000 9.72 8.35 × 104
1250 12.2 1.05 × 105
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 0.900 5690
60.0 1.08 6820
70.0 1.26 7960
80.0 1.44 9100
90.0 1.62 1.02 × 104
100 1.80 1.14 × 104
200 3.60 2.27 × 104
300 5.40 3.41 × 104
400 7.20 4.55 × 104
500 9.00 5.69 × 104
600 10.8 6.82 × 104
677 12.2 7.70 × 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 1.54 7430
60.0 1.84 8910
70.0 2.15 1.04 × 104
80.0 2.46 1.19 × 104
90.0 2.76 1.34 × 104
100 3.07 1.49 × 104
200 6.14 2.97 × 104
300 9.22 4.46 × 104
397 12.2 5.89 × 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 2.46 9400
60.0 2.95 1.13 × 104
70.0 3.44 1.32 × 104
80.0 3.94 1.50 × 104
90.0 4.43 1.69 × 104
100 4.92 1.88 × 104
200 9.84 3.76 × 104
248 12.2 4.66 × 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 3.75 1.16 × 104
60.0 4.50 1.39 × 104
70.0 5.25 1.62 × 104
80.0 6.00 1.86 × 104
90.0 6.75 2.09 × 104
100 7.50 2.32 × 104
163 12.2 3.77 × 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 9.15 1.81 × 104
60.0 11.0 2.18 × 104
66.6 12.2 2.41 × 104
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