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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S15 × 42.9
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 = 447 in4) for the S15 × 42.9 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 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 2.78 × 10-6 8.33
50.0 3.24 × 10-6 9.70
60.0 3.89 × 10-6 11.6
70.0 4.53 × 10-6 13.6
80.0 5.18 × 10-6 15.5
90.0 5.83 × 10-6 17.5
100 6.48 × 10-6 19.4
200 1.30 × 10-5 38.8
300 1.94 × 10-5 58.2
400 2.59 × 10-5 77.6
500 3.24 × 10-5 97.0
600 3.89 × 10-5 116
700 4.53 × 10-5 136
800 5.18 × 10-5 155
900 5.83 × 10-5 175
1000 6.48 × 10-5 194
2000 1.30 × 10-4 388
3000 1.94 × 10-4 582
4000 2.59 × 10-4 776
5000 3.24 × 10-4 970
6000 3.89 × 10-4 1160
7000 4.53 × 10-4 1360
8000 5.18 × 10-4 1550
9000 5.83 × 10-4 1750
1.00 × 104 6.48 × 10-4 1940
2.00 × 104 0.00130 3880
3.00 × 104 0.00194 5820
4.00 × 104 0.00259 7760
5.00 × 104 0.00324 9700
6.00 × 104 0.00389 1.16 × 104
7.00 × 104 0.00453 1.36 × 104
8.00 × 104 0.00518 1.55 × 104
9.00 × 104 0.00583 1.75 × 104
1.00 × 105 0.00648 1.94 × 104
2.00 × 105 0.0130 3.88 × 104
3.00 × 105 0.0194 5.82 × 104
4.00 × 105 0.0259 7.76 × 104
5.00 × 105 0.0324 9.70 × 104
6.00 × 105 0.0389 1.16 × 105
7.00 × 105 0.0453 1.36 × 105
8.00 × 105 0.0518 1.55 × 105
9.00 × 105 0.0583 1.75 × 105
1.00 × 106 0.0648 1.94 × 105
1.53 × 106 0.0991 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 2.14 × 10-5 23.1
50.0 2.50 × 10-5 27.0
60.0 3.00 × 10-5 32.3
70.0 3.50 × 10-5 37.7
80.0 4.00 × 10-5 43.1
90.0 4.50 × 10-5 48.5
100 5.00 × 10-5 53.9
200 1.00 × 10-4 108
300 1.50 × 10-4 162
400 2.00 × 10-4 216
500 2.50 × 10-4 270
600 3.00 × 10-4 323
700 3.50 × 10-4 377
800 4.00 × 10-4 431
900 4.50 × 10-4 485
1000 5.00 × 10-4 539
2000 1.00 × 10-3 1080
3000 0.00150 1620
4000 0.00200 2160
5000 0.00250 2700
6000 0.00300 3230
7000 0.00350 3770
8000 0.00400 4310
9000 0.00450 4850
1.00 × 104 0.00500 5390
2.00 × 104 0.0100 1.08 × 104
3.00 × 104 0.0150 1.62 × 104
4.00 × 104 0.0200 2.16 × 104
5.00 × 104 0.0250 2.70 × 104
6.00 × 104 0.0300 3.23 × 104
7.00 × 104 0.0350 3.77 × 104
8.00 × 104 0.0400 4.31 × 104
9.00 × 104 0.0450 4.85 × 104
1.00 × 105 0.0500 5.39 × 104
2.00 × 105 0.100 1.08 × 105
3.00 × 105 0.150 1.62 × 105
4.00 × 105 0.200 2.16 × 105
5.00 × 105 0.250 2.70 × 105
5.51 × 105 0.275 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 3.43 × 10-4 92.5
50.0 4.00 × 10-4 108
60.0 4.80 × 10-4 129
70.0 5.60 × 10-4 151
80.0 6.40 × 10-4 173
90.0 7.20 × 10-4 194
100 8.00 × 10-4 216
200 0.00160 431
300 0.00240 647
400 0.00320 863
500 0.00400 1080
600 0.00480 1290
700 0.00560 1510
800 0.00640 1730
900 0.00720 1940
1000 0.00800 2160
2000 0.0160 4310
3000 0.0240 6470
4000 0.0320 8630
5000 0.0400 1.08 × 104
6000 0.0480 1.29 × 104
7000 0.0560 1.51 × 104
8000 0.0640 1.73 × 104
9000 0.0720 1.94 × 104
1.00 × 104 0.0800 2.16 × 104
2.00 × 104 0.160 4.31 × 104
3.00 × 104 0.240 6.47 × 104
4.00 × 104 0.320 8.63 × 104
5.00 × 104 0.400 1.08 × 105
6.00 × 104 0.480 1.29 × 105
7.00 × 104 0.560 1.51 × 105
8.00 × 104 0.640 1.73 × 105
9.00 × 104 0.720 1.94 × 105
1.00 × 105 0.800 2.16 × 105
1.38 × 105 1.10 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.00174 208
50.0 0.00202 243
60.0 0.00243 291
70.0 0.00283 340
80.0 0.00324 388
90.0 0.00364 437
100 0.00405 485
200 0.00810 970
300 0.0121 1460
400 0.0162 1940
500 0.0202 2430
600 0.0243 2910
700 0.0283 3400
800 0.0324 3880
900 0.0364 4370
1000 0.0405 4850
2000 0.0810 9700
3000 0.121 1.46 × 104
4000 0.162 1.94 × 104
5000 0.202 2.43 × 104
6000 0.243 2.91 × 104
7000 0.283 3.40 × 104
8000 0.324 3.88 × 104
9000 0.364 4.37 × 104
1.00 × 104 0.405 4.85 × 104
2.00 × 104 0.810 9.70 × 104
3.00 × 104 1.21 1.46 × 105
4.00 × 104 1.62 1.94 × 105
5.00 × 104 2.02 2.43 × 105
6.00 × 104 2.43 2.91 × 105
6.12 × 104 2.48 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.00549 370
50.0 0.00640 431
60.0 0.00768 518
70.0 0.00896 604
80.0 0.0102 690
90.0 0.0115 776
100 0.0128 863
200 0.0256 1730
300 0.0384 2590
400 0.0512 3450
500 0.0640 4310
600 0.0768 5180
700 0.0896 6040
800 0.102 6900
900 0.115 7760
1000 0.128 8630
2000 0.256 1.73 × 104
3000 0.384 2.59 × 104
4000 0.512 3.45 × 104
5000 0.640 4.31 × 104
6000 0.768 5.18 × 104
7000 0.896 6.04 × 104
8000 1.02 6.90 × 104
9000 1.15 7.76 × 104
1.00 × 104 1.28 8.63 × 104
2.00 × 104 2.56 1.73 × 105
3.00 × 104 3.84 2.59 × 105
3.44 × 104 4.41 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.0134 578
50.0 0.0156 674
60.0 0.0187 809
70.0 0.0219 943
80.0 0.0250 1080
90.0 0.0281 1210
100 0.0312 1350
200 0.0625 2700
300 0.0937 4040
400 0.125 5390
500 0.156 6740
600 0.187 8090
700 0.219 9430
800 0.250 1.08 × 104
900 0.281 1.21 × 104
1000 0.312 1.35 × 104
2000 0.625 2.70 × 104
3000 0.937 4.04 × 104
4000 1.25 5.39 × 104
5000 1.56 6.74 × 104
6000 1.87 8.09 × 104
7000 2.19 9.43 × 104
8000 2.50 1.08 × 105
9000 2.81 1.21 × 105
1.00 × 104 3.12 1.35 × 105
2.00 × 104 6.25 2.70 × 105
2.20 × 104 6.88 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.0278 833
50.0 0.0324 970
60.0 0.0389 1160
70.0 0.0453 1360
80.0 0.0518 1550
90.0 0.0583 1750
100 0.0648 1940
200 0.130 3880
300 0.194 5820
400 0.259 7760
500 0.324 9700
600 0.389 1.16 × 104
700 0.453 1.36 × 104
800 0.518 1.55 × 104
900 0.583 1.75 × 104
1000 0.648 1.94 × 104
2000 1.30 3.88 × 104
3000 1.94 5.82 × 104
4000 2.59 7.76 × 104
5000 3.24 9.70 × 104
6000 3.89 1.16 × 105
7000 4.53 1.36 × 105
8000 5.18 1.55 × 105
9000 5.83 1.75 × 105
1.00 × 104 6.48 1.94 × 105
1.53 × 104 9.91 2.97 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.0878 1480
50.0 0.102 1730
60.0 0.123 2070
70.0 0.143 2420
80.0 0.164 2760
90.0 0.184 3110
100 0.205 3450
200 0.409 6900
300 0.614 1.04 × 104
400 0.819 1.38 × 104
500 1.02 1.73 × 104
600 1.23 2.07 × 104
700 1.43 2.42 × 104
800 1.64 2.76 × 104
900 1.84 3.11 × 104
1000 2.05 3.45 × 104
2000 4.09 6.90 × 104
3000 6.14 1.04 × 105
4000 8.19 1.38 × 105
5000 10.2 1.73 × 105
6000 12.3 2.07 × 105
7000 14.3 2.42 × 105
7330 15.0 2.53 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.214 2310
50.0 0.250 2700
60.0 0.300 3230
70.0 0.350 3770
80.0 0.400 4310
90.0 0.450 4850
100 0.500 5390
200 1.00 1.08 × 104
300 1.50 1.62 × 104
400 2.00 2.16 × 104
500 2.50 2.70 × 104
600 3.00 3.23 × 104
700 3.50 3.77 × 104
800 4.00 4.31 × 104
900 4.50 4.85 × 104
1000 5.00 5.39 × 104
2000 10.0 1.08 × 105
3000 15.0 1.62 × 105
3000 15.0 1.62 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.445 3330
50.0 0.518 3880
60.0 0.622 4660
70.0 0.725 5430
80.0 0.829 6210
90.0 0.933 6990
100 1.04 7760
200 2.07 1.55 × 104
300 3.11 2.33 × 104
400 4.15 3.11 × 104
500 5.18 3.88 × 104
600 6.22 4.66 × 104
700 7.25 5.43 × 104
800 8.29 6.21 × 104
900 9.33 6.99 × 104
1000 10.4 7.76 × 104
1450 15.0 1.12 × 105
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 0.824 4530
50.0 0.960 5280
60.0 1.15 6340
70.0 1.34 7400
80.0 1.54 8450
90.0 1.73 9510
100 1.92 1.06 × 104
200 3.84 2.11 × 104
300 5.76 3.17 × 104
400 7.68 4.23 × 104
500 9.60 5.28 × 104
600 11.5 6.34 × 104
700 13.4 7.40 × 104
781 15.0 8.26 × 104
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 1.41 5920
50.0 1.64 6900
60.0 1.97 8280
70.0 2.29 9660
80.0 2.62 1.10 × 104
90.0 2.95 1.24 × 104
100 3.28 1.38 × 104
200 6.55 2.76 × 104
300 9.83 4.14 × 104
400 13.1 5.52 × 104
458 15.0 6.32 × 104
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 2.25 7490
50.0 2.62 8730
60.0 3.15 1.05 × 104
70.0 3.67 1.22 × 104
80.0 4.20 1.40 × 104
90.0 4.72 1.57 × 104
100 5.25 1.75 × 104
200 10.5 3.49 × 104
286 15.0 4.99 × 104
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 3.43 9250
50.0 4.00 1.08 × 104
60.0 4.80 1.29 × 104
70.0 5.60 1.51 × 104
80.0 6.40 1.73 × 104
90.0 7.20 1.94 × 104
100 8.00 2.16 × 104
188 15.0 4.05 × 104
Steel I Beam: S15 × 42.9 (S15 inch tall × 42.9 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
42.9 8.37 1.45 × 104
50.0 9.76 1.68 × 104
60.0 11.7 2.02 × 104
70.0 13.7 2.36 × 104
76.8 15.0 2.59 × 104
Additional Information
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FREE Publications
Metal 3D Printing Design Guide

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

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

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

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