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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
   
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 9.81 × 10-6 13.3
60.0 1.18 × 10-5 15.9
70.0 1.37 × 10-5 18.6
80.0 1.57 × 10-5 21.2
90.0 1.77 × 10-5 23.9
100 1.96 × 10-5 26.6
200 3.92 × 10-5 53.1
300 5.89 × 10-5 79.7
400 7.85 × 10-5 106
500 9.81 × 10-5 133
600 1.18 × 10-4 159
700 1.37 × 10-4 186
800 1.57 × 10-4 212
900 1.77 × 10-4 239
1000 1.96 × 10-4 266
2000 3.92 × 10-4 531
3000 5.89 × 10-4 797
4000 7.85 × 10-4 1060
5000 9.81 × 10-4 1330
6000 0.00118 1590
7000 0.00137 1860
8000 0.00157 2120
9000 0.00177 2390
1.00 × 104 0.00196 2660
2.00 × 104 0.00392 5310
3.00 × 104 0.00589 7970
4.00 × 104 0.00785 1.06 × 104
5.00 × 104 0.00981 1.33 × 104
6.00 × 104 0.0118 1.59 × 104
7.00 × 104 0.0137 1.86 × 104
8.00 × 104 0.0157 2.12 × 104
9.00 × 104 0.0177 2.39 × 104
1.00 × 105 0.0196 2.66 × 104
2.00 × 105 0.0392 5.31 × 104
3.00 × 105 0.0589 7.97 × 104
4.00 × 105 0.0785 1.06 × 105
5.00 × 105 0.0981 1.33 × 105
6.00 × 105 0.118 1.59 × 105
7.00 × 105 0.137 1.86 × 105
8.00 × 105 0.157 2.12 × 105
9.00 × 105 0.177 2.39 × 105
1.00 × 106 0.196 2.66 × 105
1.12 × 106 0.219 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 7.57 × 10-5 36.9
60.0 9.08 × 10-5 44.3
70.0 1.06 × 10-4 51.6
80.0 1.21 × 10-4 59.0
90.0 1.36 × 10-4 66.4
100 1.51 × 10-4 73.8
200 3.03 × 10-4 148
300 4.54 × 10-4 221
400 6.06 × 10-4 295
500 7.57 × 10-4 369
600 9.08 × 10-4 443
700 0.00106 516
800 0.00121 590
900 0.00136 664
1000 0.00151 738
2000 0.00303 1480
3000 0.00454 2210
4000 0.00606 2950
5000 0.00757 3690
6000 0.00908 4430
7000 0.0106 5160
8000 0.0121 5900
9000 0.0136 6640
1.00 × 104 0.0151 7380
2.00 × 104 0.0303 1.48 × 104
3.00 × 104 0.0454 2.21 × 104
4.00 × 104 0.0606 2.95 × 104
5.00 × 104 0.0757 3.69 × 104
6.00 × 104 0.0908 4.43 × 104
7.00 × 104 0.106 5.16 × 104
8.00 × 104 0.121 5.90 × 104
9.00 × 104 0.136 6.64 × 104
1.00 × 105 0.151 7.38 × 104
2.00 × 105 0.303 1.48 × 105
3.00 × 105 0.454 2.21 × 105
4.00 × 105 0.606 2.95 × 105
4.03 × 105 0.610 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00121 148
60.0 0.00145 177
70.0 0.00170 207
80.0 0.00194 236
90.0 0.00218 266
100 0.00242 295
200 0.00484 590
300 0.00727 885
400 0.00969 1180
500 0.0121 1480
600 0.0145 1770
700 0.0170 2070
800 0.0194 2360
900 0.0218 2660
1000 0.0242 2950
2000 0.0484 5900
3000 0.0727 8850
4000 0.0969 1.18 × 104
5000 0.121 1.48 × 104
6000 0.145 1.77 × 104
7000 0.170 2.07 × 104
8000 0.194 2.36 × 104
9000 0.218 2.66 × 104
1.00 × 104 0.242 2.95 × 104
2.00 × 104 0.484 5.90 × 104
3.00 × 104 0.727 8.85 × 104
4.00 × 104 0.969 1.18 × 105
5.00 × 104 1.21 1.48 × 105
6.00 × 104 1.45 1.77 × 105
7.00 × 104 1.70 2.07 × 105
8.00 × 104 1.94 2.36 × 105
9.00 × 104 2.18 2.66 × 105
1.00 × 105 2.42 2.95 × 105
1.01 × 105 2.44 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00613 332
60.0 0.00736 398
70.0 0.00858 465
80.0 0.00981 531
90.0 0.0110 598
100 0.0123 664
200 0.0245 1330
300 0.0368 1990
400 0.0490 2660
500 0.0613 3320
600 0.0736 3980
700 0.0858 4650
800 0.0981 5310
900 0.110 5980
1000 0.123 6640
2000 0.245 1.33 × 104
3000 0.368 1.99 × 104
4000 0.490 2.66 × 104
5000 0.613 3.32 × 104
6000 0.736 3.98 × 104
7000 0.858 4.65 × 104
8000 0.981 5.31 × 104
9000 1.10 5.98 × 104
1.00 × 104 1.23 6.64 × 104
2.00 × 104 2.45 1.33 × 105
3.00 × 104 3.68 1.99 × 105
4.00 × 104 4.90 2.66 × 105
4.47 × 104 5.49 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0194 590
60.0 0.0233 708
70.0 0.0271 826
80.0 0.0310 944
90.0 0.0349 1060
100 0.0388 1180
200 0.0775 2360
300 0.116 3540
400 0.155 4720
500 0.194 5900
600 0.233 7080
700 0.271 8260
800 0.310 9440
900 0.349 1.06 × 104
1000 0.388 1.18 × 104
2000 0.775 2.36 × 104
3000 1.16 3.54 × 104
4000 1.55 4.72 × 104
5000 1.94 5.90 × 104
6000 2.33 7.08 × 104
7000 2.71 8.26 × 104
8000 3.10 9.44 × 104
9000 3.49 1.06 × 105
1.00 × 104 3.88 1.18 × 105
2.00 × 104 7.75 2.36 × 105
2.52 × 104 9.75 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0473 922
60.0 0.0568 1110
70.0 0.0662 1290
80.0 0.0757 1480
90.0 0.0851 1660
100 0.0946 1840
200 0.189 3690
300 0.284 5530
400 0.378 7380
500 0.473 9220
600 0.568 1.11 × 104
700 0.662 1.29 × 104
800 0.757 1.48 × 104
900 0.851 1.66 × 104
1000 0.946 1.84 × 104
2000 1.89 3.69 × 104
3000 2.84 5.53 × 104
4000 3.78 7.38 × 104
5000 4.73 9.22 × 104
6000 5.68 1.11 × 105
7000 6.62 1.29 × 105
8000 7.57 1.48 × 105
9000 8.51 1.66 × 105
1.00 × 104 9.46 1.84 × 105
1.61 × 104 15.2 2.97 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0981 1330
60.0 0.118 1590
70.0 0.137 1860
80.0 0.157 2120
90.0 0.177 2390
100 0.196 2660
200 0.392 5310
300 0.589 7970
400 0.785 1.06 × 104
500 0.981 1.33 × 104
600 1.18 1.59 × 104
700 1.37 1.86 × 104
800 1.57 2.12 × 104
900 1.77 2.39 × 104
1000 1.96 2.66 × 104
2000 3.92 5.31 × 104
3000 5.89 7.97 × 104
4000 7.85 1.06 × 105
5000 9.81 1.33 × 105
6000 11.8 1.59 × 105
6120 12.0 1.62 × 105
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.310 2360
60.0 0.372 2830
70.0 0.434 3300
80.0 0.496 3780
90.0 0.558 4250
100 0.620 4720
200 1.24 9440
300 1.86 1.42 × 104
400 2.48 1.89 × 104
500 3.10 2.36 × 104
600 3.72 2.83 × 104
700 4.34 3.30 × 104
800 4.96 3.78 × 104
900 5.58 4.25 × 104
1000 6.20 4.72 × 104
1940 12.0 9.14 × 104
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.757 3690
60.0 0.908 4430
70.0 1.06 5160
80.0 1.21 5900
90.0 1.36 6640
100 1.51 7380
200 3.03 1.48 × 104
300 4.54 2.21 × 104
400 6.06 2.95 × 104
500 7.57 3.69 × 104
600 9.08 4.43 × 104
700 10.6 5.16 × 104
793 12.0 5.85 × 104
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.57 5310
60.0 1.88 6370
70.0 2.20 7440
80.0 2.51 8500
90.0 2.83 9560
100 3.14 1.06 × 104
200 6.28 2.12 × 104
300 9.42 3.19 × 104
382 12.0 4.06 × 104
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.91 7230
60.0 3.49 8680
70.0 4.07 1.01 × 104
80.0 4.65 1.16 × 104
90.0 5.23 1.30 × 104
100 5.82 1.45 × 104
200 11.6 2.89 × 104
206 12.0 2.98 × 104
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.96 9440
60.0 5.95 1.13 × 104
70.0 6.94 1.32 × 104
80.0 7.94 1.51 × 104
90.0 8.93 1.70 × 104
100 9.92 1.89 × 104
121 12.0 2.28 × 104
Steel I Beam: S12 × 50 (S Section 12 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 7.95 1.20 × 104
60.0 9.53 1.43 × 104
70.0 11.1 1.67 × 104
75.5 12.0 1.80 × 104
Additional Information
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