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S Section Steel I Beam: S15 × 50
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S15 × 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 = 486 in4) for the S15 × 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: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 6.16 × 10-6 10.4
60.0 7.39 × 10-6 12.5
70.0 8.62 × 10-6 14.6
80.0 9.85 × 10-6 16.7
90.0 1.11 × 10-5 18.8
100 1.23 × 10-5 20.8
200 2.46 × 10-5 41.7
300 3.69 × 10-5 62.5
400 4.92 × 10-5 83.3
500 6.16 × 10-5 104
600 7.39 × 10-5 125
700 8.62 × 10-5 146
800 9.85 × 10-5 167
900 1.11 × 10-4 188
1000 1.23 × 10-4 208
2000 2.46 × 10-4 417
3000 3.69 × 10-4 625
4000 4.92 × 10-4 833
5000 6.16 × 10-4 1040
6000 7.39 × 10-4 1250
7000 8.62 × 10-4 1460
8000 9.85 × 10-4 1670
9000 0.00111 1880
1.00 × 104 0.00123 2080
2.00 × 104 0.00246 4170
3.00 × 104 0.00369 6250
4.00 × 104 0.00492 8330
5.00 × 104 0.00616 1.04 × 104
6.00 × 104 0.00739 1.25 × 104
7.00 × 104 0.00862 1.46 × 104
8.00 × 104 0.00985 1.67 × 104
9.00 × 104 0.0111 1.88 × 104
1.00 × 105 0.0123 2.08 × 104
2.00 × 105 0.0246 4.17 × 104
3.00 × 105 0.0369 6.25 × 104
4.00 × 105 0.0492 8.33 × 104
5.00 × 105 0.0616 1.04 × 105
6.00 × 105 0.0739 1.25 × 105
7.00 × 105 0.0862 1.46 × 105
8.00 × 105 0.0985 1.67 × 105
9.00 × 105 0.111 1.88 × 105
1.00 × 106 0.123 2.08 × 105
1.43 × 106 0.176 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.75 × 10-5 28.9
60.0 5.70 × 10-5 34.7
70.0 6.65 × 10-5 40.5
80.0 7.60 × 10-5 46.3
90.0 8.55 × 10-5 52.1
100 9.50 × 10-5 57.9
200 1.90 × 10-4 116
300 2.85 × 10-4 174
400 3.80 × 10-4 231
500 4.75 × 10-4 289
600 5.70 × 10-4 347
700 6.65 × 10-4 405
800 7.60 × 10-4 463
900 8.55 × 10-4 521
1000 9.50 × 10-4 579
2000 0.00190 1160
3000 0.00285 1740
4000 0.00380 2310
5000 0.00475 2890
6000 0.00570 3470
7000 0.00665 4050
8000 0.00760 4630
9000 0.00855 5210
1.00 × 104 0.00950 5790
2.00 × 104 0.0190 1.16 × 104
3.00 × 104 0.0285 1.74 × 104
4.00 × 104 0.0380 2.31 × 104
5.00 × 104 0.0475 2.89 × 104
6.00 × 104 0.0570 3.47 × 104
7.00 × 104 0.0665 4.05 × 104
8.00 × 104 0.0760 4.63 × 104
9.00 × 104 0.0855 5.21 × 104
1.00 × 105 0.0950 5.79 × 104
2.00 × 105 0.190 1.16 × 105
3.00 × 105 0.285 1.74 × 105
4.00 × 105 0.380 2.31 × 105
5.00 × 105 0.475 2.89 × 105
5.13 × 105 0.488 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 7.60 × 10-4 116
60.0 9.12 × 10-4 139
70.0 0.00106 162
80.0 0.00122 185
90.0 0.00137 208
100 0.00152 231
200 0.00304 463
300 0.00456 694
400 0.00608 926
500 0.00760 1160
600 0.00912 1390
700 0.0106 1620
800 0.0122 1850
900 0.0137 2080
1000 0.0152 2310
2000 0.0304 4630
3000 0.0456 6940
4000 0.0608 9260
5000 0.0760 1.16 × 104
6000 0.0912 1.39 × 104
7000 0.106 1.62 × 104
8000 0.122 1.85 × 104
9000 0.137 2.08 × 104
1.00 × 104 0.152 2.31 × 104
2.00 × 104 0.304 4.63 × 104
3.00 × 104 0.456 6.94 × 104
4.00 × 104 0.608 9.26 × 104
5.00 × 104 0.760 1.16 × 105
6.00 × 104 0.912 1.39 × 105
7.00 × 104 1.06 1.62 × 105
8.00 × 104 1.22 1.85 × 105
9.00 × 104 1.37 2.08 × 105
1.00 × 105 1.52 2.31 × 105
1.28 × 105 1.95 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00385 260
60.0 0.00462 313
70.0 0.00539 365
80.0 0.00616 417
90.0 0.00693 469
100 0.00770 521
200 0.0154 1040
300 0.0231 1560
400 0.0308 2080
500 0.0385 2600
600 0.0462 3130
700 0.0539 3650
800 0.0616 4170
900 0.0693 4690
1000 0.0770 5210
2000 0.154 1.04 × 104
3000 0.231 1.56 × 104
4000 0.308 2.08 × 104
5000 0.385 2.60 × 104
6000 0.462 3.13 × 104
7000 0.539 3.65 × 104
8000 0.616 4.17 × 104
9000 0.693 4.69 × 104
1.00 × 104 0.770 5.21 × 104
2.00 × 104 1.54 1.04 × 105
3.00 × 104 2.31 1.56 × 105
4.00 × 104 3.08 2.08 × 105
5.00 × 104 3.85 2.60 × 105
5.70 × 104 4.39 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0122 463
60.0 0.0146 556
70.0 0.0170 648
80.0 0.0195 741
90.0 0.0219 833
100 0.0243 926
200 0.0486 1850
300 0.0730 2780
400 0.0973 3700
500 0.122 4630
600 0.146 5560
700 0.170 6480
800 0.195 7410
900 0.219 8330
1000 0.243 9260
2000 0.486 1.85 × 104
3000 0.730 2.78 × 104
4000 0.973 3.70 × 104
5000 1.22 4.63 × 104
6000 1.46 5.56 × 104
7000 1.70 6.48 × 104
8000 1.95 7.41 × 104
9000 2.19 8.33 × 104
1.00 × 104 2.43 9.26 × 104
2.00 × 104 4.86 1.85 × 105
3.00 × 104 7.30 2.78 × 105
3.21 × 104 7.80 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0297 723
60.0 0.0356 868
70.0 0.0416 1010
80.0 0.0475 1160
90.0 0.0534 1300
100 0.0594 1450
200 0.119 2890
300 0.178 4340
400 0.238 5790
500 0.297 7230
600 0.356 8680
700 0.416 1.01 × 104
800 0.475 1.16 × 104
900 0.534 1.30 × 104
1000 0.594 1.45 × 104
2000 1.19 2.89 × 104
3000 1.78 4.34 × 104
4000 2.38 5.79 × 104
5000 2.97 7.23 × 104
6000 3.56 8.68 × 104
7000 4.16 1.01 × 105
8000 4.75 1.16 × 105
9000 5.34 1.30 × 105
1.00 × 104 5.94 1.45 × 105
2.00 × 104 11.9 2.89 × 105
2.05 × 104 12.2 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0616 1040
60.0 0.0739 1250
70.0 0.0862 1460
80.0 0.0985 1670
90.0 0.111 1880
100 0.123 2080
200 0.246 4170
300 0.369 6250
400 0.492 8330
500 0.616 1.04 × 104
600 0.739 1.25 × 104
700 0.862 1.46 × 104
800 0.985 1.67 × 104
900 1.11 1.88 × 104
1000 1.23 2.08 × 104
2000 2.46 4.17 × 104
3000 3.69 6.25 × 104
4000 4.92 8.33 × 104
5000 6.16 1.04 × 105
6000 7.39 1.25 × 105
7000 8.62 1.46 × 105
8000 9.85 1.67 × 105
9000 11.1 1.88 × 105
1.00 × 104 12.3 2.08 × 105
1.43 × 104 17.6 2.97 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.195 1850
60.0 0.233 2220
70.0 0.272 2590
80.0 0.311 2960
90.0 0.350 3330
100 0.389 3700
200 0.778 7410
300 1.17 1.11 × 104
400 1.56 1.48 × 104
500 1.95 1.85 × 104
600 2.33 2.22 × 104
700 2.72 2.59 × 104
800 3.11 2.96 × 104
900 3.50 3.33 × 104
1000 3.89 3.70 × 104
2000 7.78 7.41 × 104
3000 11.7 1.11 × 105
3850 15.0 1.43 × 105
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.475 2890
60.0 0.570 3470
70.0 0.665 4050
80.0 0.760 4630
90.0 0.855 5210
100 0.950 5790
200 1.90 1.16 × 104
300 2.85 1.74 × 104
400 3.80 2.31 × 104
500 4.75 2.89 × 104
600 5.70 3.47 × 104
700 6.65 4.05 × 104
800 7.60 4.63 × 104
900 8.55 5.21 × 104
1000 9.50 5.79 × 104
1580 15.0 9.14 × 104
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.985 4170
60.0 1.18 5000
70.0 1.38 5830
80.0 1.58 6670
90.0 1.77 7500
100 1.97 8330
200 3.94 1.67 × 104
300 5.91 2.50 × 104
400 7.88 3.33 × 104
500 9.85 4.17 × 104
600 11.8 5.00 × 104
700 13.8 5.83 × 104
761 15.0 6.35 × 104
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.82 5670
60.0 2.19 6810
70.0 2.55 7940
80.0 2.92 9070
90.0 3.28 1.02 × 104
100 3.65 1.13 × 104
200 7.30 2.27 × 104
300 10.9 3.40 × 104
400 14.6 4.54 × 104
411 15.0 4.66 × 104
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.11 7410
60.0 3.74 8890
70.0 4.36 1.04 × 104
80.0 4.98 1.19 × 104
90.0 5.60 1.33 × 104
100 6.23 1.48 × 104
200 12.5 2.96 × 104
241 15.0 3.57 × 104
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.99 9380
60.0 5.98 1.13 × 104
70.0 6.98 1.31 × 104
80.0 7.98 1.50 × 104
90.0 8.98 1.69 × 104
100 9.97 1.88 × 104
150 15.0 2.82 × 104
Steel I Beam: S15 × 50 (S Section 15 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 7.60 1.16 × 104
60.0 9.12 1.39 × 104
70.0 10.6 1.62 × 104
80.0 12.2 1.85 × 104
90.0 13.7 2.08 × 104
98.7 15.0 2.28 × 104
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