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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 2.98 × 10-6 8.93
60.0 3.57 × 10-6 10.7
70.0 4.17 × 10-6 12.5
80.0 4.77 × 10-6 14.3
90.0 5.36 × 10-6 16.1
100 5.96 × 10-6 17.9
200 1.19 × 10-5 35.7
300 1.79 × 10-5 53.5
400 2.38 × 10-5 71.4
500 2.98 × 10-5 89.3
600 3.57 × 10-5 107
700 4.17 × 10-5 125
800 4.77 × 10-5 143
900 5.36 × 10-5 161
1000 5.96 × 10-5 179
2000 1.19 × 10-4 357
3000 1.79 × 10-4 536
4000 2.38 × 10-4 714
5000 2.98 × 10-4 893
6000 3.57 × 10-4 1070
7000 4.17 × 10-4 1250
8000 4.77 × 10-4 1430
9000 5.36 × 10-4 1610
1.00 × 104 5.96 × 10-4 1790
2.00 × 104 0.00119 3570
3.00 × 104 0.00179 5360
4.00 × 104 0.00238 7140
5.00 × 104 0.00298 8930
6.00 × 104 0.00357 1.07 × 104
7.00 × 104 0.00417 1.25 × 104
8.00 × 104 0.00477 1.43 × 104
9.00 × 104 0.00536 1.61 × 104
1.00 × 105 0.00596 1.79 × 104
2.00 × 105 0.0119 3.57 × 104
3.00 × 105 0.0179 5.36 × 104
4.00 × 105 0.0238 7.14 × 104
5.00 × 105 0.0298 8.93 × 104
6.00 × 105 0.0357 1.07 × 105
7.00 × 105 0.0417 1.25 × 105
8.00 × 105 0.0477 1.43 × 105
9.00 × 105 0.0536 1.61 × 105
1.00 × 106 0.0596 1.79 × 105
1.66 × 106 0.0991 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 2.30 × 10-5 24.8
60.0 2.76 × 10-5 29.8
70.0 3.22 × 10-5 34.7
80.0 3.68 × 10-5 39.7
90.0 4.14 × 10-5 44.6
100 4.60 × 10-5 49.6
200 9.19 × 10-5 99.2
300 1.38 × 10-4 149
400 1.84 × 10-4 198
500 2.30 × 10-4 248
600 2.76 × 10-4 298
700 3.22 × 10-4 347
800 3.68 × 10-4 397
900 4.14 × 10-4 446
1000 4.60 × 10-4 496
2000 9.19 × 10-4 992
3000 0.00138 1490
4000 0.00184 1980
5000 0.00230 2480
6000 0.00276 2980
7000 0.00322 3470
8000 0.00368 3970
9000 0.00414 4460
1.00 × 104 0.00460 4960
2.00 × 104 0.00919 9920
3.00 × 104 0.0138 1.49 × 104
4.00 × 104 0.0184 1.98 × 104
5.00 × 104 0.0230 2.48 × 104
6.00 × 104 0.0276 2.98 × 104
7.00 × 104 0.0322 3.47 × 104
8.00 × 104 0.0368 3.97 × 104
9.00 × 104 0.0414 4.46 × 104
1.00 × 105 0.0460 4.96 × 104
2.00 × 105 0.0919 9.92 × 104
3.00 × 105 0.138 1.49 × 105
4.00 × 105 0.184 1.98 × 105
5.00 × 105 0.230 2.48 × 105
5.99 × 105 0.275 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 3.68 × 10-4 99.2
60.0 4.41 × 10-4 119
70.0 5.15 × 10-4 139
80.0 5.88 × 10-4 159
90.0 6.62 × 10-4 179
100 7.35 × 10-4 198
200 0.00147 397
300 0.00221 595
400 0.00294 793
500 0.00368 992
600 0.00441 1190
700 0.00515 1390
800 0.00588 1590
900 0.00662 1790
1000 0.00735 1980
2000 0.0147 3970
3000 0.0221 5950
4000 0.0294 7930
5000 0.0368 9920
6000 0.0441 1.19 × 104
7000 0.0515 1.39 × 104
8000 0.0588 1.59 × 104
9000 0.0662 1.79 × 104
1.00 × 104 0.0735 1.98 × 104
2.00 × 104 0.147 3.97 × 104
3.00 × 104 0.221 5.95 × 104
4.00 × 104 0.294 7.93 × 104
5.00 × 104 0.368 9.92 × 104
6.00 × 104 0.441 1.19 × 105
7.00 × 104 0.515 1.39 × 105
8.00 × 104 0.588 1.59 × 105
9.00 × 104 0.662 1.79 × 105
1.00 × 105 0.735 1.98 × 105
1.50 × 105 1.10 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 0.00186 223
60.0 0.00223 268
70.0 0.00261 312
80.0 0.00298 357
90.0 0.00335 402
100 0.00372 446
200 0.00745 893
300 0.0112 1340
400 0.0149 1790
500 0.0186 2230
600 0.0223 2680
700 0.0261 3120
800 0.0298 3570
900 0.0335 4020
1000 0.0372 4460
2000 0.0745 8920
3000 0.112 1.34 × 104
4000 0.149 1.78 × 104
5000 0.186 2.23 × 104
6000 0.223 2.68 × 104
7000 0.261 3.12 × 104
8000 0.298 3.57 × 104
9000 0.335 4.02 × 104
1.00 × 104 0.372 4.46 × 104
2.00 × 104 0.745 8.93 × 104
3.00 × 104 1.12 1.34 × 105
4.00 × 104 1.49 1.79 × 105
5.00 × 104 1.86 2.23 × 105
6.00 × 104 2.23 2.68 × 105
6.66 × 104 2.48 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 0.00588 397
60.0 0.00706 476
70.0 0.00824 555
80.0 0.00941 635
90.0 0.0106 714
100 0.0118 793
200 0.0235 1590
300 0.0353 2380
400 0.0471 3170
500 0.0588 3970
600 0.0706 4760
700 0.0824 5550
800 0.0941 6350
900 0.106 7140
1000 0.118 7930
2000 0.235 1.59 × 104
3000 0.353 2.38 × 104
4000 0.471 3.17 × 104
5000 0.588 3.97 × 104
6000 0.706 4.76 × 104
7000 0.824 5.55 × 104
8000 0.941 6.35 × 104
9000 1.06 7.14 × 104
1.00 × 104 1.18 7.93 × 104
2.00 × 104 2.35 1.59 × 105
3.00 × 104 3.53 2.38 × 105
3.74 × 104 4.41 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 0.0144 620
60.0 0.0172 744
70.0 0.0201 868
80.0 0.0230 992
90.0 0.0259 1120
100 0.0287 1240
200 0.0575 2480
300 0.0862 3720
400 0.115 4960
500 0.144 6200
600 0.172 7440
700 0.201 8680
800 0.230 9920
900 0.259 1.12 × 104
1000 0.287 1.24 × 104
2000 0.575 2.48 × 104
3000 0.862 3.72 × 104
4000 1.15 4.96 × 104
5000 1.44 6.20 × 104
6000 1.72 7.44 × 104
7000 2.01 8.68 × 104
8000 2.30 9.92 × 104
9000 2.59 1.12 × 105
1.00 × 104 2.87 1.24 × 105
2.00 × 104 5.75 2.48 × 105
2.40 × 104 6.88 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 0.0298 893
60.0 0.0357 1070
70.0 0.0417 1250
80.0 0.0477 1430
90.0 0.0536 1610
100 0.0596 1790
200 0.119 3570
300 0.179 5360
400 0.238 7140
500 0.298 8920
600 0.357 1.07 × 104
700 0.417 1.25 × 104
800 0.477 1.43 × 104
900 0.536 1.61 × 104
1000 0.596 1.78 × 104
2000 1.19 3.57 × 104
3000 1.79 5.36 × 104
4000 2.38 7.14 × 104
5000 2.98 8.93 × 104
6000 3.57 1.07 × 105
7000 4.17 1.25 × 105
8000 4.77 1.43 × 105
9000 5.36 1.61 × 105
1.00 × 104 5.96 1.79 × 105
1.66 × 104 9.91 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 0.0941 1590
60.0 0.113 1900
70.0 0.132 2220
80.0 0.151 2540
90.0 0.169 2860
100 0.188 3170
200 0.377 6350
300 0.565 9520
400 0.753 1.27 × 104
500 0.941 1.59 × 104
600 1.13 1.90 × 104
700 1.32 2.22 × 104
800 1.51 2.54 × 104
900 1.69 2.86 × 104
1000 1.88 3.17 × 104
2000 3.77 6.35 × 104
3000 5.65 9.52 × 104
4000 7.53 1.27 × 105
5000 9.41 1.59 × 105
6000 11.3 1.90 × 105
7000 13.2 2.22 × 105
7970 15.0 2.53 × 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 0.230 2480
60.0 0.276 2980
70.0 0.322 3470
80.0 0.368 3970
90.0 0.414 4460
100 0.460 4960
200 0.919 9920
300 1.38 1.49 × 104
400 1.84 1.98 × 104
500 2.30 2.48 × 104
600 2.76 2.98 × 104
700 3.22 3.47 × 104
800 3.68 3.97 × 104
900 4.14 4.46 × 104
1000 4.60 4.96 × 104
2000 9.19 9.92 × 104
3000 13.8 1.49 × 105
3260 15.0 1.62 × 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 0.477 3570
60.0 0.572 4280
70.0 0.667 5000
80.0 0.763 5710
90.0 0.858 6430
100 0.953 7140
200 1.91 1.43 × 104
300 2.86 2.14 × 104
400 3.81 2.86 × 104
500 4.77 3.57 × 104
600 5.72 4.28 × 104
700 6.67 5.00 × 104
800 7.63 5.71 × 104
900 8.58 6.43 × 104
1000 9.53 7.14 × 104
1570 15.0 1.12 × 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 0.883 4860
60.0 1.06 5830
70.0 1.24 6800
80.0 1.41 7770
90.0 1.59 8750
100 1.77 9720
200 3.53 1.94 × 104
300 5.30 2.92 × 104
400 7.06 3.89 × 104
500 8.83 4.86 × 104
600 10.6 5.83 × 104
700 12.4 6.80 × 104
800 14.1 7.77 × 104
849 15.0 8.26 × 104
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 1.51 6350
60.0 1.81 7620
70.0 2.11 8890
80.0 2.41 1.02 × 104
90.0 2.71 1.14 × 104
100 3.01 1.27 × 104
200 6.02 2.54 × 104
300 9.04 3.81 × 104
400 12.0 5.08 × 104
498 15.0 6.32 × 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 2.41 8030
60.0 2.90 9640
70.0 3.38 1.12 × 104
80.0 3.86 1.29 × 104
90.0 4.34 1.45 × 104
100 4.83 1.61 × 104
200 9.65 3.21 × 104
300 14.5 4.82 × 104
311 15.0 4.99 × 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 3.68 9920
60.0 4.41 1.19 × 104
70.0 5.15 1.39 × 104
80.0 5.88 1.59 × 104
90.0 6.62 1.79 × 104
100 7.35 1.98 × 104
200 14.7 3.97 × 104
204 15.0 4.05 × 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 8.98 1.55 × 104
60.0 10.8 1.86 × 104
70.0 12.6 2.17 × 104
80.0 14.4 2.48 × 104
83.5 15.0 2.59 × 104
Additional Information
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Glossary
FREE Publications
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A white paper to assist in the evaluation of 3D scanning hardware solutions.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

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