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S Section Steel I Beam: S12 × 35
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S12 × 35
S Section 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 = 229 in4) for the S12 × 35 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 × 35 (S12 inch tall × 35 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 4.42 × 10-6 10.6
40.0 5.06 × 10-6 12.1
50.0 6.32 × 10-6 15.2
60.0 7.59 × 10-6 18.2
70.0 8.85 × 10-6 21.2
80.0 1.01 × 10-5 24.2
90.0 1.14 × 10-5 27.3
100 1.26 × 10-5 30.3
200 2.53 × 10-5 60.6
300 3.79 × 10-5 90.9
400 5.06 × 10-5 121
500 6.32 × 10-5 152
600 7.59 × 10-5 182
700 8.85 × 10-5 212
800 1.01 × 10-4 242
900 1.14 × 10-4 273
1000 1.26 × 10-4 303
2000 2.53 × 10-4 606
3000 3.79 × 10-4 909
4000 5.06 × 10-4 1210
5000 6.32 × 10-4 1520
6000 7.59 × 10-4 1820
7000 8.85 × 10-4 2120
8000 0.00101 2420
9000 0.00114 2730
1.00 × 104 0.00126 3030
2.00 × 104 0.00253 6060
3.00 × 104 0.00379 9090
4.00 × 104 0.00506 1.21 × 104
5.00 × 104 0.00632 1.52 × 104
6.00 × 104 0.00759 1.82 × 104
7.00 × 104 0.00885 2.12 × 104
8.00 × 104 0.0101 2.42 × 104
9.00 × 104 0.0114 2.73 × 104
1.00 × 105 0.0126 3.03 × 104
2.00 × 105 0.0253 6.06 × 104
3.00 × 105 0.0379 9.09 × 104
4.00 × 105 0.0506 1.21 × 105
5.00 × 105 0.0632 1.52 × 105
6.00 × 105 0.0759 1.82 × 105
7.00 × 105 0.0885 2.12 × 105
8.00 × 105 0.101 2.42 × 105
9.00 × 105 0.114 2.73 × 105
9.80 × 105 0.124 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 3.41 × 10-5 29.5
40.0 3.90 × 10-5 33.7
50.0 4.88 × 10-5 42.1
60.0 5.85 × 10-5 50.5
70.0 6.83 × 10-5 58.9
80.0 7.80 × 10-5 67.3
90.0 8.78 × 10-5 75.8
100 9.76 × 10-5 84.2
200 1.95 × 10-4 168
300 2.93 × 10-4 253
400 3.90 × 10-4 337
500 4.88 × 10-4 421
600 5.85 × 10-4 505
700 6.83 × 10-4 589
800 7.80 × 10-4 673
900 8.78 × 10-4 758
1000 9.76 × 10-4 842
2000 0.00195 1680
3000 0.00293 2530
4000 0.00390 3370
5000 0.00488 4210
6000 0.00585 5050
7000 0.00683 5890
8000 0.00780 6730
9000 0.00878 7580
1.00 × 104 0.00976 8420
2.00 × 104 0.0195 1.68 × 104
3.00 × 104 0.0293 2.53 × 104
4.00 × 104 0.0390 3.37 × 104
5.00 × 104 0.0488 4.21 × 104
6.00 × 104 0.0585 5.05 × 104
7.00 × 104 0.0683 5.89 × 104
8.00 × 104 0.0780 6.73 × 104
9.00 × 104 0.0878 7.58 × 104
1.00 × 105 0.0976 8.42 × 104
2.00 × 105 0.195 1.68 × 105
3.00 × 105 0.293 2.53 × 105
3.53 × 105 0.344 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 5.46 × 10-4 118
40.0 6.24 × 10-4 135
50.0 7.80 × 10-4 168
60.0 9.36 × 10-4 202
70.0 0.00109 236
80.0 0.00125 269
90.0 0.00140 303
100 0.00156 337
200 0.00312 673
300 0.00468 1010
400 0.00624 1350
500 0.00780 1680
600 0.00936 2020
700 0.0109 2360
800 0.0125 2690
900 0.0140 3030
1000 0.0156 3370
2000 0.0312 6730
3000 0.0468 1.01 × 104
4000 0.0624 1.35 × 104
5000 0.0780 1.68 × 104
6000 0.0936 2.02 × 104
7000 0.109 2.36 × 104
8000 0.125 2.69 × 104
9000 0.140 3.03 × 104
1.00 × 104 0.156 3.37 × 104
2.00 × 104 0.312 6.73 × 104
3.00 × 104 0.468 1.01 × 105
4.00 × 104 0.624 1.35 × 105
5.00 × 104 0.780 1.68 × 105
6.00 × 104 0.936 2.02 × 105
7.00 × 104 1.09 2.36 × 105
8.00 × 104 1.25 2.69 × 105
8.82 × 104 1.38 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.00277 265
40.0 0.00316 303
50.0 0.00395 379
60.0 0.00474 455
70.0 0.00553 530
80.0 0.00632 606
90.0 0.00711 682
100 0.00790 758
200 0.0158 1520
300 0.0237 2270
400 0.0316 3030
500 0.0395 3790
600 0.0474 4550
700 0.0553 5300
800 0.0632 6060
900 0.0711 6820
1000 0.0790 7580
2000 0.158 1.52 × 104
3000 0.237 2.27 × 104
4000 0.316 3.03 × 104
5000 0.395 3.79 × 104
6000 0.474 4.55 × 104
7000 0.553 5.30 × 104
8000 0.632 6.06 × 104
9000 0.711 6.82 × 104
1.00 × 104 0.790 7.58 × 104
2.00 × 104 1.58 1.52 × 105
3.00 × 104 2.37 2.27 × 105
3.92 × 104 3.10 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.00874 471
40.0 0.00999 539
50.0 0.0125 673
60.0 0.0150 808
70.0 0.0175 943
80.0 0.0200 1080
90.0 0.0225 1210
100 0.0250 1350
200 0.0499 2690
300 0.0749 4040
400 0.0999 5390
500 0.125 6730
600 0.150 8080
700 0.175 9430
800 0.200 1.08 × 104
900 0.225 1.21 × 104
1000 0.250 1.35 × 104
2000 0.499 2.69 × 104
3000 0.749 4.04 × 104
4000 0.999 5.39 × 104
5000 1.25 6.73 × 104
6000 1.50 8.08 × 104
7000 1.75 9.43 × 104
8000 2.00 1.08 × 105
9000 2.25 1.21 × 105
1.00 × 104 2.50 1.35 × 105
2.00 × 104 4.99 2.69 × 105
2.21 × 104 5.51 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.0213 737
40.0 0.0244 842
50.0 0.0305 1050
60.0 0.0366 1260
70.0 0.0427 1470
80.0 0.0488 1680
90.0 0.0549 1890
100 0.0610 2100
200 0.122 4210
300 0.183 6310
400 0.244 8420
500 0.305 1.05 × 104
600 0.366 1.26 × 104
700 0.427 1.47 × 104
800 0.488 1.68 × 104
900 0.549 1.89 × 104
1000 0.610 2.10 × 104
2000 1.22 4.21 × 104
3000 1.83 6.31 × 104
4000 2.44 8.42 × 104
5000 3.05 1.05 × 105
6000 3.66 1.26 × 105
7000 4.27 1.47 × 105
8000 4.88 1.68 × 105
9000 5.49 1.89 × 105
1.00 × 104 6.10 2.10 × 105
1.41 × 104 8.61 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.0442 1060
40.0 0.0506 1210
50.0 0.0632 1520
60.0 0.0759 1820
70.0 0.0885 2120
80.0 0.101 2420
90.0 0.114 2730
100 0.126 3030
200 0.253 6060
300 0.379 9090
400 0.506 1.21 × 104
500 0.632 1.52 × 104
600 0.759 1.82 × 104
700 0.885 2.12 × 104
800 1.01 2.42 × 104
900 1.14 2.73 × 104
1000 1.26 3.03 × 104
2000 2.53 6.06 × 104
3000 3.79 9.09 × 104
4000 5.06 1.21 × 105
5000 6.32 1.52 × 105
6000 7.59 1.82 × 105
7000 8.85 2.12 × 105
8000 10.1 2.42 × 105
9000 11.4 2.73 × 105
9800 12.4 2.97 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.140 1890
40.0 0.160 2160
50.0 0.200 2690
60.0 0.240 3230
70.0 0.280 3770
80.0 0.320 4310
90.0 0.360 4850
100 0.400 5390
200 0.799 1.08 × 104
300 1.20 1.62 × 104
400 1.60 2.16 × 104
500 2.00 2.69 × 104
600 2.40 3.23 × 104
700 2.80 3.77 × 104
800 3.20 4.31 × 104
900 3.60 4.85 × 104
1000 4.00 5.39 × 104
2000 7.99 1.08 × 105
3000 12.0 1.62 × 105
3000 12.0 1.62 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.341 2950
40.0 0.390 3370
50.0 0.488 4210
60.0 0.585 5050
70.0 0.683 5890
80.0 0.780 6730
90.0 0.878 7580
100 0.976 8420
200 1.95 1.68 × 104
300 2.93 2.53 × 104
400 3.90 3.37 × 104
500 4.88 4.21 × 104
600 5.85 5.05 × 104
700 6.83 5.89 × 104
800 7.80 6.73 × 104
900 8.78 7.58 × 104
1000 9.76 8.42 × 104
1230 12.0 1.04 × 105
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 0.708 4240
40.0 0.809 4850
50.0 1.01 6060
60.0 1.21 7270
70.0 1.42 8490
80.0 1.62 9700
90.0 1.82 1.09 × 104
100 2.02 1.21 × 104
200 4.05 2.42 × 104
300 6.07 3.64 × 104
400 8.09 4.85 × 104
500 10.1 6.06 × 104
593 12.0 7.19 × 104
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 1.31 5770
40.0 1.50 6600
50.0 1.87 8250
60.0 2.25 9900
70.0 2.62 1.15 × 104
80.0 3.00 1.32 × 104
90.0 3.37 1.48 × 104
100 3.75 1.65 × 104
200 7.49 3.30 × 104
300 11.2 4.95 × 104
320 12.0 5.28 × 104
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 2.24 7540
40.0 2.56 8620
50.0 3.20 1.08 × 104
60.0 3.84 1.29 × 104
70.0 4.48 1.51 × 104
80.0 5.11 1.72 × 104
90.0 5.75 1.94 × 104
100 6.39 2.16 × 104
188 12.0 4.05 × 104
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 3.58 9550
40.0 4.10 1.09 × 104
50.0 5.12 1.36 × 104
60.0 6.14 1.64 × 104
70.0 7.17 1.91 × 104
80.0 8.19 2.18 × 104
90.0 9.22 2.45 × 104
100 10.2 2.73 × 104
117 12.0 3.20 × 104
Steel I Beam: S12 × 35 (S12 inch tall × 35 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
35.0 5.46 1.18 × 104
40.0 6.24 1.35 × 104
50.0 7.80 1.68 × 104
60.0 9.36 2.02 × 104
70.0 10.9 2.36 × 104
76.9 12.0 2.59 × 104
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