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S Section Steel I Beam: S12 × 35
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 4.78 × 10-6 9.90
40.0 5.46 × 10-6 11.3
50.0 6.82 × 10-6 14.1
60.0 8.19 × 10-6 17.0
70.0 9.55 × 10-6 19.8
80.0 1.09 × 10-5 22.6
90.0 1.23 × 10-5 25.5
100 1.36 × 10-5 28.3
200 2.73 × 10-5 56.6
300 4.09 × 10-5 84.9
400 5.46 × 10-5 113
500 6.82 × 10-5 141
600 8.19 × 10-5 170
700 9.55 × 10-5 198
800 1.09 × 10-4 226
900 1.23 × 10-4 255
1000 1.36 × 10-4 283
2000 2.73 × 10-4 566
3000 4.09 × 10-4 849
4000 5.46 × 10-4 1130
5000 6.82 × 10-4 1410
6000 8.19 × 10-4 1700
7000 9.55 × 10-4 1980
8000 0.00109 2260
9000 0.00123 2550
1.00 × 104 0.00136 2830
2.00 × 104 0.00273 5660
3.00 × 104 0.00409 8490
4.00 × 104 0.00546 1.13 × 104
5.00 × 104 0.00682 1.41 × 104
6.00 × 104 0.00819 1.70 × 104
7.00 × 104 0.00955 1.98 × 104
8.00 × 104 0.0109 2.26 × 104
9.00 × 104 0.0123 2.55 × 104
1.00 × 105 0.0136 2.83 × 104
2.00 × 105 0.0273 5.66 × 104
3.00 × 105 0.0409 8.49 × 104
4.00 × 105 0.0546 1.13 × 105
5.00 × 105 0.0682 1.41 × 105
6.00 × 105 0.0819 1.70 × 105
7.00 × 105 0.0955 1.98 × 105
8.00 × 105 0.109 2.26 × 105
9.00 × 105 0.123 2.55 × 105
1.00 × 106 0.136 2.83 × 105
1.05 × 106 0.143 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 3.69 × 10-5 27.5
40.0 4.21 × 10-5 31.4
50.0 5.26 × 10-5 39.3
60.0 6.32 × 10-5 47.2
70.0 7.37 × 10-5 55.0
80.0 8.42 × 10-5 62.9
90.0 9.48 × 10-5 70.7
100 1.05 × 10-4 78.6
200 2.11 × 10-4 157
300 3.16 × 10-4 236
400 4.21 × 10-4 314
500 5.26 × 10-4 393
600 6.32 × 10-4 472
700 7.37 × 10-4 550
800 8.42 × 10-4 629
900 9.48 × 10-4 707
1000 0.00105 786
2000 0.00211 1570
3000 0.00316 2360
4000 0.00421 3140
5000 0.00526 3930
6000 0.00632 4720
7000 0.00737 5500
8000 0.00842 6290
9000 0.00948 7070
1.00 × 104 0.0105 7860
2.00 × 104 0.0211 1.57 × 104
3.00 × 104 0.0316 2.36 × 104
4.00 × 104 0.0421 3.14 × 104
5.00 × 104 0.0526 3.93 × 104
6.00 × 104 0.0632 4.72 × 104
7.00 × 104 0.0737 5.50 × 104
8.00 × 104 0.0842 6.29 × 104
9.00 × 104 0.0948 7.07 × 104
1.00 × 105 0.105 7.86 × 104
2.00 × 105 0.211 1.57 × 105
3.00 × 105 0.316 2.36 × 105
3.78 × 105 0.398 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 5.90 × 10-4 110
40.0 6.74 × 10-4 126
50.0 8.42 × 10-4 157
60.0 0.00101 189
70.0 0.00118 220
80.0 0.00135 252
90.0 0.00152 283
100 0.00168 314
200 0.00337 629
300 0.00505 943
400 0.00674 1260
500 0.00842 1570
600 0.0101 1890
700 0.0118 2200
800 0.0135 2520
900 0.0152 2830
1000 0.0168 3140
2000 0.0337 6290
3000 0.0505 9430
4000 0.0674 1.26 × 104
5000 0.0842 1.57 × 104
6000 0.101 1.89 × 104
7000 0.118 2.20 × 104
8000 0.135 2.52 × 104
9000 0.152 2.83 × 104
1.00 × 104 0.168 3.14 × 104
2.00 × 104 0.337 6.29 × 104
3.00 × 104 0.505 9.43 × 104
4.00 × 104 0.674 1.26 × 105
5.00 × 104 0.842 1.57 × 105
6.00 × 104 1.01 1.89 × 105
7.00 × 104 1.18 2.20 × 105
8.00 × 104 1.35 2.52 × 105
9.00 × 104 1.52 2.83 × 105
9.45 × 104 1.59 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 0.00299 248
40.0 0.00341 283
50.0 0.00426 354
60.0 0.00512 424
70.0 0.00597 495
80.0 0.00682 566
90.0 0.00768 637
100 0.00853 707
200 0.0171 1410
300 0.0256 2120
400 0.0341 2830
500 0.0426 3540
600 0.0512 4240
700 0.0597 4950
800 0.0682 5660
900 0.0768 6370
1000 0.0853 7070
2000 0.171 1.41 × 104
3000 0.256 2.12 × 104
4000 0.341 2.83 × 104
5000 0.426 3.54 × 104
6000 0.512 4.24 × 104
7000 0.597 4.95 × 104
8000 0.682 5.66 × 104
9000 0.768 6.37 × 104
1.00 × 104 0.853 7.07 × 104
2.00 × 104 1.71 1.41 × 105
3.00 × 104 2.56 2.12 × 105
4.00 × 104 3.41 2.83 × 105
4.20 × 104 3.58 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 0.00943 440
40.0 0.0108 503
50.0 0.0135 629
60.0 0.0162 755
70.0 0.0189 880
80.0 0.0216 1010
90.0 0.0243 1130
100 0.0270 1260
200 0.0539 2520
300 0.0809 3770
400 0.108 5030
500 0.135 6290
600 0.162 7550
700 0.189 8800
800 0.216 1.01 × 104
900 0.243 1.13 × 104
1000 0.270 1.26 × 104
2000 0.539 2.52 × 104
3000 0.809 3.77 × 104
4000 1.08 5.03 × 104
5000 1.35 6.29 × 104
6000 1.62 7.55 × 104
7000 1.89 8.80 × 104
8000 2.16 1.01 × 105
9000 2.43 1.13 × 105
1.00 × 104 2.70 1.26 × 105
2.00 × 104 5.39 2.52 × 105
2.36 × 104 6.37 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 0.0230 688
40.0 0.0263 786
50.0 0.0329 983
60.0 0.0395 1180
70.0 0.0461 1380
80.0 0.0526 1570
90.0 0.0592 1770
100 0.0658 1970
200 0.132 3930
300 0.197 5900
400 0.263 7860
500 0.329 9830
600 0.395 1.18 × 104
700 0.461 1.38 × 104
800 0.526 1.57 × 104
900 0.592 1.77 × 104
1000 0.658 1.97 × 104
2000 1.32 3.93 × 104
3000 1.97 5.90 × 104
4000 2.63 7.86 × 104
5000 3.29 9.83 × 104
6000 3.95 1.18 × 105
7000 4.61 1.38 × 105
8000 5.26 1.57 × 105
9000 5.92 1.77 × 105
1.00 × 104 6.58 1.97 × 105
1.51 × 104 9.95 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 0.0478 990
40.0 0.0546 1130
50.0 0.0682 1410
60.0 0.0819 1700
70.0 0.0955 1980
80.0 0.109 2260
90.0 0.123 2550
100 0.136 2830
200 0.273 5660
300 0.409 8490
400 0.546 1.13 × 104
500 0.682 1.41 × 104
600 0.819 1.70 × 104
700 0.955 1.98 × 104
800 1.09 2.26 × 104
900 1.23 2.55 × 104
1000 1.36 2.83 × 104
2000 2.73 5.66 × 104
3000 4.09 8.49 × 104
4000 5.46 1.13 × 105
5000 6.82 1.41 × 105
6000 8.19 1.70 × 105
7000 9.55 1.98 × 105
8000 10.9 2.26 × 105
8790 12.0 2.49 × 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 0.151 1760
40.0 0.173 2010
50.0 0.216 2520
60.0 0.259 3020
70.0 0.302 3520
80.0 0.345 4020
90.0 0.388 4530
100 0.431 5030
200 0.863 1.01 × 104
300 1.29 1.51 × 104
400 1.73 2.01 × 104
500 2.16 2.52 × 104
600 2.59 3.02 × 104
700 3.02 3.52 × 104
800 3.45 4.02 × 104
900 3.88 4.53 × 104
1000 4.31 5.03 × 104
2000 8.63 1.01 × 105
2780 12.0 1.40 × 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 0.369 2750
40.0 0.421 3140
50.0 0.526 3930
60.0 0.632 4720
70.0 0.737 5500
80.0 0.842 6290
90.0 0.948 7070
100 1.05 7860
200 2.11 1.57 × 104
300 3.16 2.36 × 104
400 4.21 3.14 × 104
500 5.26 3.93 × 104
600 6.32 4.72 × 104
700 7.37 5.50 × 104
800 8.42 6.29 × 104
900 9.48 7.07 × 104
1000 10.5 7.86 × 104
1140 12.0 8.96 × 104
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 0.764 3960
40.0 0.873 4530
50.0 1.09 5660
60.0 1.31 6790
70.0 1.53 7920
80.0 1.75 9060
90.0 1.97 1.02 × 104
100 2.18 1.13 × 104
200 4.37 2.26 × 104
300 6.55 3.40 × 104
400 8.73 4.53 × 104
500 10.9 5.66 × 104
550 12.0 6.22 × 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 1.42 5390
40.0 1.62 6160
50.0 2.02 7700
60.0 2.43 9240
70.0 2.83 1.08 × 104
80.0 3.24 1.23 × 104
90.0 3.64 1.39 × 104
100 4.04 1.54 × 104
200 8.09 3.08 × 104
297 12.0 4.57 × 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 2.42 7040
40.0 2.76 8050
50.0 3.45 1.01 × 104
60.0 4.14 1.21 × 104
70.0 4.83 1.41 × 104
80.0 5.52 1.61 × 104
90.0 6.21 1.81 × 104
100 6.90 2.01 × 104
174 12.0 3.50 × 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 3.87 8910
40.0 4.42 1.02 × 104
50.0 5.53 1.27 × 104
60.0 6.63 1.53 × 104
70.0 7.74 1.78 × 104
80.0 8.84 2.04 × 104
90.0 9.95 2.29 × 104
100 11.1 2.55 × 104
109 12.0 2.76 × 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 5.90 1.10 × 104
40.0 6.74 1.26 × 104
50.0 8.42 1.57 × 104
60.0 10.1 1.89 × 104
70.0 11.8 2.20 × 104
71.2 12.0 2.24 × 104
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