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S Section Steel I Beam: S12 × 50
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S12 × 50
S Section 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 = 305 in4) for the S12 × 50 S Section 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: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 5.12 × 10-6 10.6
60.0 6.15 × 10-6 12.7
70.0 7.17 × 10-6 14.9
80.0 8.20 × 10-6 17.0
90.0 9.22 × 10-6 19.1
100 1.02 × 10-5 21.2
200 2.05 × 10-5 42.5
300 3.07 × 10-5 63.7
400 4.10 × 10-5 85.0
500 5.12 × 10-5 106
600 6.15 × 10-5 127
700 7.17 × 10-5 149
800 8.20 × 10-5 170
900 9.22 × 10-5 191
1000 1.02 × 10-4 212
2000 2.05 × 10-4 425
3000 3.07 × 10-4 637
4000 4.10 × 10-4 850
5000 5.12 × 10-4 1060
6000 6.15 × 10-4 1270
7000 7.17 × 10-4 1490
8000 8.20 × 10-4 1700
9000 9.22 × 10-4 1910
1.00 × 104 0.00102 2120
2.00 × 104 0.00205 4250
3.00 × 104 0.00307 6370
4.00 × 104 0.00410 8500
5.00 × 104 0.00512 1.06 × 104
6.00 × 104 0.00615 1.27 × 104
7.00 × 104 0.00717 1.49 × 104
8.00 × 104 0.00820 1.70 × 104
9.00 × 104 0.00922 1.91 × 104
1.00 × 105 0.0102 2.12 × 104
2.00 × 105 0.0205 4.25 × 104
3.00 × 105 0.0307 6.37 × 104
4.00 × 105 0.0410 8.50 × 104
5.00 × 105 0.0512 1.06 × 105
6.00 × 105 0.0615 1.27 × 105
7.00 × 105 0.0717 1.49 × 105
8.00 × 105 0.0820 1.70 × 105
9.00 × 105 0.0922 1.91 × 105
1.00 × 106 0.102 2.12 × 105
1.40 × 106 0.143 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.95 × 10-5 29.5
60.0 4.74 × 10-5 35.4
70.0 5.53 × 10-5 41.3
80.0 6.32 × 10-5 47.2
90.0 7.11 × 10-5 53.1
100 7.91 × 10-5 59.0
200 1.58 × 10-4 118
300 2.37 × 10-4 177
400 3.16 × 10-4 236
500 3.95 × 10-4 295
600 4.74 × 10-4 354
700 5.53 × 10-4 413
800 6.32 × 10-4 472
900 7.11 × 10-4 531
1000 7.91 × 10-4 590
2000 0.00158 1180
3000 0.00237 1770
4000 0.00316 2360
5000 0.00395 2950
6000 0.00474 3540
7000 0.00553 4130
8000 0.00632 4720
9000 0.00711 5310
1.00 × 104 0.00791 5900
2.00 × 104 0.0158 1.18 × 104
3.00 × 104 0.0237 1.77 × 104
4.00 × 104 0.0316 2.36 × 104
5.00 × 104 0.0395 2.95 × 104
6.00 × 104 0.0474 3.54 × 104
7.00 × 104 0.0553 4.13 × 104
8.00 × 104 0.0632 4.72 × 104
9.00 × 104 0.0711 5.31 × 104
1.00 × 105 0.0791 5.90 × 104
2.00 × 105 0.158 1.18 × 105
3.00 × 105 0.237 1.77 × 105
4.00 × 105 0.316 2.36 × 105
5.00 × 105 0.395 2.95 × 105
5.03 × 105 0.398 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 6.32 × 10-4 118
60.0 7.59 × 10-4 142
70.0 8.85 × 10-4 165
80.0 0.00101 189
90.0 0.00114 212
100 0.00126 236
200 0.00253 472
300 0.00379 708
400 0.00506 944
500 0.00632 1180
600 0.00759 1420
700 0.00885 1650
800 0.0101 1890
900 0.0114 2120
1000 0.0126 2360
2000 0.0253 4720
3000 0.0379 7080
4000 0.0506 9440
5000 0.0632 1.18 × 104
6000 0.0759 1.42 × 104
7000 0.0885 1.65 × 104
8000 0.101 1.89 × 104
9000 0.114 2.12 × 104
1.00 × 104 0.126 2.36 × 104
2.00 × 104 0.253 4.72 × 104
3.00 × 104 0.379 7.08 × 104
4.00 × 104 0.506 9.44 × 104
5.00 × 104 0.632 1.18 × 105
6.00 × 104 0.759 1.42 × 105
7.00 × 104 0.885 1.65 × 105
8.00 × 104 1.01 1.89 × 105
9.00 × 104 1.14 2.12 × 105
1.00 × 105 1.26 2.36 × 105
1.26 × 105 1.59 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00320 266
60.0 0.00384 319
70.0 0.00448 372
80.0 0.00512 425
90.0 0.00576 478
100 0.00640 531
200 0.0128 1060
300 0.0192 1590
400 0.0256 2120
500 0.0320 2660
600 0.0384 3190
700 0.0448 3720
800 0.0512 4250
900 0.0576 4780
1000 0.0640 5310
2000 0.128 1.06 × 104
3000 0.192 1.59 × 104
4000 0.256 2.12 × 104
5000 0.320 2.66 × 104
6000 0.384 3.19 × 104
7000 0.448 3.72 × 104
8000 0.512 4.25 × 104
9000 0.576 4.78 × 104
1.00 × 104 0.640 5.31 × 104
2.00 × 104 1.28 1.06 × 105
3.00 × 104 1.92 1.59 × 105
4.00 × 104 2.56 2.12 × 105
5.00 × 104 3.20 2.66 × 105
5.59 × 104 3.58 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0101 472
60.0 0.0121 567
70.0 0.0142 661
80.0 0.0162 755
90.0 0.0182 850
100 0.0202 944
200 0.0405 1890
300 0.0607 2830
400 0.0810 3780
500 0.101 4720
600 0.121 5670
700 0.142 6610
800 0.162 7550
900 0.182 8500
1000 0.202 9440
2000 0.405 1.89 × 104
3000 0.607 2.83 × 104
4000 0.810 3.78 × 104
5000 1.01 4.72 × 104
6000 1.21 5.67 × 104
7000 1.42 6.61 × 104
8000 1.62 7.55 × 104
9000 1.82 8.50 × 104
1.00 × 104 2.02 9.44 × 104
2.00 × 104 4.05 1.89 × 105
3.00 × 104 6.07 2.83 × 105
3.15 × 104 6.37 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0247 738
60.0 0.0296 885
70.0 0.0346 1030
80.0 0.0395 1180
90.0 0.0445 1330
100 0.0494 1480
200 0.0988 2950
300 0.148 4430
400 0.198 5900
500 0.247 7380
600 0.296 8850
700 0.346 1.03 × 104
800 0.395 1.18 × 104
900 0.445 1.33 × 104
1000 0.494 1.48 × 104
2000 0.988 2.95 × 104
3000 1.48 4.43 × 104
4000 1.98 5.90 × 104
5000 2.47 7.38 × 104
6000 2.96 8.85 × 104
7000 3.46 1.03 × 105
8000 3.95 1.18 × 105
9000 4.45 1.33 × 105
1.00 × 104 4.94 1.48 × 105
2.00 × 104 9.88 2.95 × 105
2.01 × 104 9.95 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0512 1060
60.0 0.0615 1270
70.0 0.0717 1490
80.0 0.0820 1700
90.0 0.0922 1910
100 0.102 2120
200 0.205 4250
300 0.307 6370
400 0.410 8500
500 0.512 1.06 × 104
600 0.615 1.27 × 104
700 0.717 1.49 × 104
800 0.820 1.70 × 104
900 0.922 1.91 × 104
1000 1.02 2.12 × 104
2000 2.05 4.25 × 104
3000 3.07 6.37 × 104
4000 4.10 8.50 × 104
5000 5.12 1.06 × 105
6000 6.15 1.27 × 105
7000 7.17 1.49 × 105
8000 8.20 1.70 × 105
9000 9.22 1.91 × 105
1.00 × 104 10.2 2.12 × 105
1.40 × 104 14.3 2.97 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.162 1890
60.0 0.194 2270
70.0 0.227 2640
80.0 0.259 3020
90.0 0.291 3400
100 0.324 3780
200 0.648 7550
300 0.971 1.13 × 104
400 1.30 1.51 × 104
500 1.62 1.89 × 104
600 1.94 2.27 × 104
700 2.27 2.64 × 104
800 2.59 3.02 × 104
900 2.91 3.40 × 104
1000 3.24 3.78 × 104
2000 6.48 7.55 × 104
3000 9.71 1.13 × 105
3710 12.0 1.40 × 105
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.395 2950
60.0 0.474 3540
70.0 0.553 4130
80.0 0.632 4720
90.0 0.711 5310
100 0.791 5900
200 1.58 1.18 × 104
300 2.37 1.77 × 104
400 3.16 2.36 × 104
500 3.95 2.95 × 104
600 4.74 3.54 × 104
700 5.53 4.13 × 104
800 6.32 4.72 × 104
900 7.11 5.31 × 104
1000 7.91 5.90 × 104
1520 12.0 8.96 × 104
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.820 4250
60.0 0.984 5100
70.0 1.15 5950
80.0 1.31 6800
90.0 1.48 7650
100 1.64 8500
200 3.28 1.70 × 104
300 4.92 2.55 × 104
400 6.56 3.40 × 104
500 8.20 4.25 × 104
600 9.84 5.10 × 104
700 11.5 5.95 × 104
732 12.0 6.22 × 104
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.52 5780
60.0 1.82 6940
70.0 2.13 8100
80.0 2.43 9250
90.0 2.73 1.04 × 104
100 3.04 1.16 × 104
200 6.07 2.31 × 104
300 9.11 3.47 × 104
395 12.0 4.57 × 104
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.59 7550
60.0 3.11 9060
70.0 3.63 1.06 × 104
80.0 4.14 1.21 × 104
90.0 4.66 1.36 × 104
100 5.18 1.51 × 104
200 10.4 3.02 × 104
232 12.0 3.50 × 104
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.15 9560
60.0 4.98 1.15 × 104
70.0 5.81 1.34 × 104
80.0 6.64 1.53 × 104
90.0 7.47 1.72 × 104
100 8.30 1.91 × 104
145 12.0 2.76 × 104
Steel I Beam: S12 × 50 (S12 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 6.32 1.18 × 104
60.0 7.59 1.42 × 104
70.0 8.85 1.65 × 104
80.0 10.1 1.89 × 104
90.0 11.4 2.12 × 104
94.9 12.0 2.24 × 104
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