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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 125 ft
  
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.46 × 10-6 10.4
60.0 2.95 × 10-6 12.5
70.0 3.45 × 10-6 14.6
80.0 3.94 × 10-6 16.7
90.0 4.43 × 10-6 18.8
100 4.92 × 10-6 20.8
200 9.85 × 10-6 41.7
300 1.48 × 10-5 62.5
400 1.97 × 10-5 83.3
500 2.46 × 10-5 104
600 2.95 × 10-5 125
700 3.45 × 10-5 146
800 3.94 × 10-5 167
900 4.43 × 10-5 188
1000 4.92 × 10-5 208
2000 9.85 × 10-5 417
3000 1.48 × 10-4 625
4000 1.97 × 10-4 833
5000 2.46 × 10-4 1040
6000 2.95 × 10-4 1250
7000 3.45 × 10-4 1460
8000 3.94 × 10-4 1670
9000 4.43 × 10-4 1880
1.00 × 104 4.92 × 10-4 2080
2.00 × 104 9.85 × 10-4 4170
3.00 × 104 0.00148 6250
4.00 × 104 0.00197 8330
5.00 × 104 0.00246 1.04 × 104
6.00 × 104 0.00295 1.25 × 104
7.00 × 104 0.00345 1.46 × 104
8.00 × 104 0.00394 1.67 × 104
9.00 × 104 0.00443 1.88 × 104
1.00 × 105 0.00492 2.08 × 104
2.00 × 105 0.00985 4.17 × 104
3.00 × 105 0.0148 6.25 × 104
4.00 × 105 0.0197 8.33 × 104
5.00 × 105 0.0246 1.04 × 105
6.00 × 105 0.0295 1.25 × 105
7.00 × 105 0.0345 1.46 × 105
8.00 × 105 0.0394 1.67 × 105
9.00 × 105 0.0443 1.88 × 105
1.00 × 106 0.0492 2.08 × 105
1.43 × 106 0.0702 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.90 × 10-5 28.9
60.0 2.28 × 10-5 34.7
70.0 2.66 × 10-5 40.5
80.0 3.04 × 10-5 46.3
90.0 3.42 × 10-5 52.1
100 3.80 × 10-5 57.9
200 7.60 × 10-5 116
300 1.14 × 10-4 174
400 1.52 × 10-4 231
500 1.90 × 10-4 289
600 2.28 × 10-4 347
700 2.66 × 10-4 405
800 3.04 × 10-4 463
900 3.42 × 10-4 521
1000 3.80 × 10-4 579
2000 7.60 × 10-4 1160
3000 0.00114 1740
4000 0.00152 2310
5000 0.00190 2890
6000 0.00228 3470
7000 0.00266 4050
8000 0.00304 4630
9000 0.00342 5210
1.00 × 104 0.00380 5790
2.00 × 104 0.00760 1.16 × 104
3.00 × 104 0.0114 1.74 × 104
4.00 × 104 0.0152 2.31 × 104
5.00 × 104 0.0190 2.89 × 104
6.00 × 104 0.0228 3.47 × 104
7.00 × 104 0.0266 4.05 × 104
8.00 × 104 0.0304 4.63 × 104
9.00 × 104 0.0342 5.21 × 104
1.00 × 105 0.0380 5.79 × 104
2.00 × 105 0.0760 1.16 × 105
3.00 × 105 0.114 1.74 × 105
4.00 × 105 0.152 2.31 × 105
5.00 × 105 0.190 2.89 × 105
5.13 × 105 0.195 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.04 × 10-4 116
60.0 3.65 × 10-4 139
70.0 4.26 × 10-4 162
80.0 4.86 × 10-4 185
90.0 5.47 × 10-4 208
100 6.08 × 10-4 231
200 0.00122 463
300 0.00182 694
400 0.00243 926
500 0.00304 1160
600 0.00365 1390
700 0.00426 1620
800 0.00486 1850
900 0.00547 2080
1000 0.00608 2310
2000 0.0122 4630
3000 0.0182 6940
4000 0.0243 9260
5000 0.0304 1.16 × 104
6000 0.0365 1.39 × 104
7000 0.0426 1.62 × 104
8000 0.0486 1.85 × 104
9000 0.0547 2.08 × 104
1.00 × 104 0.0608 2.31 × 104
2.00 × 104 0.122 4.63 × 104
3.00 × 104 0.182 6.94 × 104
4.00 × 104 0.243 9.26 × 104
5.00 × 104 0.304 1.16 × 105
6.00 × 104 0.365 1.39 × 105
7.00 × 104 0.426 1.62 × 105
8.00 × 104 0.486 1.85 × 105
9.00 × 104 0.547 2.08 × 105
1.00 × 105 0.608 2.31 × 105
1.28 × 105 0.780 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00154 260
60.0 0.00185 313
70.0 0.00215 365
80.0 0.00246 417
90.0 0.00277 469
100 0.00308 521
200 0.00616 1040
300 0.00923 1560
400 0.0123 2080
500 0.0154 2600
600 0.0185 3130
700 0.0215 3650
800 0.0246 4170
900 0.0277 4690
1000 0.0308 5210
2000 0.0616 1.04 × 104
3000 0.0923 1.56 × 104
4000 0.123 2.08 × 104
5000 0.154 2.60 × 104
6000 0.185 3.13 × 104
7000 0.215 3.65 × 104
8000 0.246 4.17 × 104
9000 0.277 4.69 × 104
1.00 × 104 0.308 5.21 × 104
2.00 × 104 0.616 1.04 × 105
3.00 × 104 0.923 1.56 × 105
4.00 × 104 1.23 2.08 × 105
5.00 × 104 1.54 2.60 × 105
5.70 × 104 1.76 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00486 463
60.0 0.00584 556
70.0 0.00681 648
80.0 0.00778 741
90.0 0.00876 833
100 0.00973 926
200 0.0195 1850
300 0.0292 2780
400 0.0389 3700
500 0.0486 4630
600 0.0584 5560
700 0.0681 6480
800 0.0778 7410
900 0.0876 8330
1000 0.0973 9260
2000 0.195 1.85 × 104
3000 0.292 2.78 × 104
4000 0.389 3.70 × 104
5000 0.486 4.63 × 104
6000 0.584 5.56 × 104
7000 0.681 6.48 × 104
8000 0.778 7.41 × 104
9000 0.876 8.33 × 104
1.00 × 104 0.973 9.26 × 104
2.00 × 104 1.95 1.85 × 105
3.00 × 104 2.92 2.78 × 105
3.21 × 104 3.12 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0119 723
60.0 0.0143 868
70.0 0.0166 1010
80.0 0.0190 1160
90.0 0.0214 1300
100 0.0238 1450
200 0.0475 2890
300 0.0713 4340
400 0.0950 5790
500 0.119 7230
600 0.143 8680
700 0.166 1.01 × 104
800 0.190 1.16 × 104
900 0.214 1.30 × 104
1000 0.238 1.45 × 104
2000 0.475 2.89 × 104
3000 0.713 4.34 × 104
4000 0.950 5.79 × 104
5000 1.19 7.23 × 104
6000 1.43 8.68 × 104
7000 1.66 1.01 × 105
8000 1.90 1.16 × 105
9000 2.14 1.30 × 105
1.00 × 104 2.38 1.45 × 105
2.00 × 104 4.75 2.89 × 105
2.05 × 104 4.88 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0246 1040
60.0 0.0295 1250
70.0 0.0345 1460
80.0 0.0394 1670
90.0 0.0443 1880
100 0.0492 2080
200 0.0985 4170
300 0.148 6250
400 0.197 8330
500 0.246 1.04 × 104
600 0.295 1.25 × 104
700 0.345 1.46 × 104
800 0.394 1.67 × 104
900 0.443 1.88 × 104
1000 0.492 2.08 × 104
2000 0.985 4.17 × 104
3000 1.48 6.25 × 104
4000 1.97 8.33 × 104
5000 2.46 1.04 × 105
6000 2.95 1.25 × 105
7000 3.45 1.46 × 105
8000 3.94 1.67 × 105
9000 4.43 1.88 × 105
1.00 × 104 4.92 2.08 × 105
1.43 × 104 7.02 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0778 1850
60.0 0.0934 2220
70.0 0.109 2590
80.0 0.125 2960
90.0 0.140 3330
100 0.156 3700
200 0.311 7410
300 0.467 1.11 × 104
400 0.623 1.48 × 104
500 0.778 1.85 × 104
600 0.934 2.22 × 104
700 1.09 2.59 × 104
800 1.25 2.96 × 104
900 1.40 3.33 × 104
1000 1.56 3.70 × 104
2000 3.11 7.41 × 104
3000 4.67 1.11 × 105
4000 6.23 1.48 × 105
5000 7.78 1.85 × 105
6000 9.34 2.22 × 105
7000 10.9 2.59 × 105
8000 12.5 2.96 × 105
8020 12.5 2.97 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.190 2890
60.0 0.228 3470
70.0 0.266 4050
80.0 0.304 4630
90.0 0.342 5210
100 0.380 5790
200 0.760 1.16 × 104
300 1.14 1.74 × 104
400 1.52 2.31 × 104
500 1.90 2.89 × 104
600 2.28 3.47 × 104
700 2.66 4.05 × 104
800 3.04 4.63 × 104
900 3.42 5.21 × 104
1000 3.80 5.79 × 104
2000 7.60 1.16 × 105
3000 11.4 1.74 × 105
3950 15.0 2.28 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.394 4170
60.0 0.473 5000
70.0 0.552 5830
80.0 0.630 6670
90.0 0.709 7500
100 0.788 8330
200 1.58 1.67 × 104
300 2.36 2.50 × 104
400 3.15 3.33 × 104
500 3.94 4.17 × 104
600 4.73 5.00 × 104
700 5.52 5.83 × 104
800 6.30 6.67 × 104
900 7.09 7.50 × 104
1000 7.88 8.33 × 104
1900 15.0 1.59 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.730 5670
60.0 0.876 6810
70.0 1.02 7940
80.0 1.17 9070
90.0 1.31 1.02 × 104
100 1.46 1.13 × 104
200 2.92 2.27 × 104
300 4.38 3.40 × 104
400 5.84 4.54 × 104
500 7.30 5.67 × 104
600 8.76 6.81 × 104
700 10.2 7.94 × 104
800 11.7 9.07 × 104
900 13.1 1.02 × 105
1000 14.6 1.13 × 105
1030 15.0 1.17 × 105
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.25 7410
60.0 1.49 8890
70.0 1.74 1.04 × 104
80.0 1.99 1.19 × 104
90.0 2.24 1.33 × 104
100 2.49 1.48 × 104
200 4.98 2.96 × 104
300 7.47 4.44 × 104
400 9.96 5.93 × 104
500 12.5 7.41 × 104
600 14.9 8.89 × 104
602 15.0 8.92 × 104
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.99 9380
60.0 2.39 1.13 × 104
70.0 2.79 1.31 × 104
80.0 3.19 1.50 × 104
90.0 3.59 1.69 × 104
100 3.99 1.88 × 104
200 7.98 3.75 × 104
300 12.0 5.63 × 104
376 15.0 7.05 × 104
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.04 1.16 × 104
60.0 3.65 1.39 × 104
70.0 4.26 1.62 × 104
80.0 4.86 1.85 × 104
90.0 5.47 2.08 × 104
100 6.08 2.31 × 104
200 12.2 4.63 × 104
247 15.0 5.71 × 104
Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 7.42 1.81 × 104
60.0 8.91 2.17 × 104
70.0 10.4 2.53 × 104
80.0 11.9 2.89 × 104
90.0 13.4 3.26 × 104
100 14.8 3.62 × 104
101 15.0 3.65 × 104
Additional Information
Related Pages
Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.