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S Section Steel I Beam: S15 × 42.9
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third 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 3.00 × 10-6 7.77
50.0 3.50 × 10-6 9.06
60.0 4.19 × 10-6 10.9
70.0 4.89 × 10-6 12.7
80.0 5.59 × 10-6 14.5
90.0 6.29 × 10-6 16.3
100 6.99 × 10-6 18.1
200 1.40 × 10-5 36.2
300 2.10 × 10-5 54.4
400 2.80 × 10-5 72.5
500 3.50 × 10-5 90.6
600 4.19 × 10-5 109
700 4.89 × 10-5 127
800 5.59 × 10-5 145
900 6.29 × 10-5 163
1000 6.99 × 10-5 181
2000 1.40 × 10-4 362
3000 2.10 × 10-4 544
4000 2.80 × 10-4 725
5000 3.50 × 10-4 906
6000 4.19 × 10-4 1090
7000 4.89 × 10-4 1270
8000 5.59 × 10-4 1450
9000 6.29 × 10-4 1630
1.00 × 104 6.99 × 10-4 1810
2.00 × 104 0.00140 3620
3.00 × 104 0.00210 5440
4.00 × 104 0.00280 7250
5.00 × 104 0.00350 9060
6.00 × 104 0.00419 1.09 × 104
7.00 × 104 0.00489 1.27 × 104
8.00 × 104 0.00559 1.45 × 104
9.00 × 104 0.00629 1.63 × 104
1.00 × 105 0.00699 1.81 × 104
2.00 × 105 0.0140 3.62 × 104
3.00 × 105 0.0210 5.44 × 104
4.00 × 105 0.0280 7.25 × 104
5.00 × 105 0.0350 9.06 × 104
6.00 × 105 0.0419 1.09 × 105
7.00 × 105 0.0489 1.27 × 105
8.00 × 105 0.0559 1.45 × 105
9.00 × 105 0.0629 1.63 × 105
1.00 × 106 0.0699 1.81 × 105
1.64 × 106 0.115 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 2.31 × 10-5 21.6
50.0 2.70 × 10-5 25.2
60.0 3.24 × 10-5 30.2
70.0 3.78 × 10-5 35.2
80.0 4.32 × 10-5 40.3
90.0 4.85 × 10-5 45.3
100 5.39 × 10-5 50.3
200 1.08 × 10-4 101
300 1.62 × 10-4 151
400 2.16 × 10-4 201
500 2.70 × 10-4 252
600 3.24 × 10-4 302
700 3.78 × 10-4 352
800 4.32 × 10-4 403
900 4.85 × 10-4 453
1000 5.39 × 10-4 503
2000 0.00108 1010
3000 0.00162 1510
4000 0.00216 2010
5000 0.00270 2520
6000 0.00324 3020
7000 0.00378 3520
8000 0.00432 4030
9000 0.00485 4530
1.00 × 104 0.00539 5030
2.00 × 104 0.0108 1.01 × 104
3.00 × 104 0.0162 1.51 × 104
4.00 × 104 0.0216 2.01 × 104
5.00 × 104 0.0270 2.52 × 104
6.00 × 104 0.0324 3.02 × 104
7.00 × 104 0.0378 3.52 × 104
8.00 × 104 0.0432 4.03 × 104
9.00 × 104 0.0485 4.53 × 104
1.00 × 105 0.0539 5.03 × 104
2.00 × 105 0.108 1.01 × 105
3.00 × 105 0.162 1.51 × 105
4.00 × 105 0.216 2.01 × 105
5.00 × 105 0.270 2.52 × 105
5.90 × 105 0.318 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 3.70 × 10-4 86.4
50.0 4.32 × 10-4 101
60.0 5.18 × 10-4 121
70.0 6.04 × 10-4 141
80.0 6.90 × 10-4 161
90.0 7.77 × 10-4 181
100 8.63 × 10-4 201
200 0.00173 403
300 0.00259 604
400 0.00345 805
500 0.00432 1010
600 0.00518 1210
700 0.00604 1410
800 0.00690 1610
900 0.00777 1810
1000 0.00863 2010
2000 0.0173 4030
3000 0.0259 6040
4000 0.0345 8050
5000 0.0432 1.01 × 104
6000 0.0518 1.21 × 104
7000 0.0604 1.41 × 104
8000 0.0690 1.61 × 104
9000 0.0777 1.81 × 104
1.00 × 104 0.0863 2.01 × 104
2.00 × 104 0.173 4.03 × 104
3.00 × 104 0.259 6.04 × 104
4.00 × 104 0.345 8.05 × 104
5.00 × 104 0.432 1.01 × 105
6.00 × 104 0.518 1.21 × 105
7.00 × 104 0.604 1.41 × 105
8.00 × 104 0.690 1.61 × 105
9.00 × 104 0.777 1.81 × 105
1.00 × 105 0.863 2.01 × 105
1.48 × 105 1.27 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 0.00187 194
50.0 0.00218 227
60.0 0.00262 272
70.0 0.00306 317
80.0 0.00350 362
90.0 0.00393 408
100 0.00437 453
200 0.00874 906
300 0.0131 1360
400 0.0175 1810
500 0.0218 2270
600 0.0262 2720
700 0.0306 3170
800 0.0350 3620
900 0.0393 4080
1000 0.0437 4530
2000 0.0874 9060
3000 0.131 1.36 × 104
4000 0.175 1.81 × 104
5000 0.218 2.27 × 104
6000 0.262 2.72 × 104
7000 0.306 3.17 × 104
8000 0.350 3.62 × 104
9000 0.393 4.08 × 104
1.00 × 104 0.437 4.53 × 104
2.00 × 104 0.874 9.06 × 104
3.00 × 104 1.31 1.36 × 105
4.00 × 104 1.75 1.81 × 105
5.00 × 104 2.18 2.27 × 105
6.00 × 104 2.62 2.72 × 105
6.56 × 104 2.86 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 0.00592 346
50.0 0.00690 403
60.0 0.00829 483
70.0 0.00967 564
80.0 0.0110 644
90.0 0.0124 725
100 0.0138 805
200 0.0276 1610
300 0.0414 2420
400 0.0552 3220
500 0.0690 4030
600 0.0829 4830
700 0.0967 5640
800 0.110 6440
900 0.124 7250
1000 0.138 8050
2000 0.276 1.61 × 104
3000 0.414 2.42 × 104
4000 0.552 3.22 × 104
5000 0.690 4.03 × 104
6000 0.829 4.83 × 104
7000 0.967 5.64 × 104
8000 1.10 6.44 × 104
9000 1.24 7.25 × 104
1.00 × 104 1.38 8.05 × 104
2.00 × 104 2.76 1.61 × 105
3.00 × 104 4.14 2.42 × 105
3.69 × 104 5.09 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 0.0145 540
50.0 0.0169 629
60.0 0.0202 755
70.0 0.0236 881
80.0 0.0270 1010
90.0 0.0303 1130
100 0.0337 1260
200 0.0674 2520
300 0.101 3780
400 0.135 5030
500 0.169 6290
600 0.202 7550
700 0.236 8810
800 0.270 1.01 × 104
900 0.303 1.13 × 104
1000 0.337 1.26 × 104
2000 0.674 2.52 × 104
3000 1.01 3.78 × 104
4000 1.35 5.03 × 104
5000 1.69 6.29 × 104
6000 2.02 7.55 × 104
7000 2.36 8.81 × 104
8000 2.70 1.01 × 105
9000 3.03 1.13 × 105
1.00 × 104 3.37 1.26 × 105
2.00 × 104 6.74 2.52 × 105
2.36 × 104 7.96 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 0.0300 777
50.0 0.0350 906
60.0 0.0419 1090
70.0 0.0489 1270
80.0 0.0559 1450
90.0 0.0629 1630
100 0.0699 1810
200 0.140 3620
300 0.210 5440
400 0.280 7250
500 0.350 9060
600 0.419 1.09 × 104
700 0.489 1.27 × 104
800 0.559 1.45 × 104
900 0.629 1.63 × 104
1000 0.699 1.81 × 104
2000 1.40 3.62 × 104
3000 2.10 5.44 × 104
4000 2.80 7.25 × 104
5000 3.50 9.06 × 104
6000 4.19 1.09 × 105
7000 4.89 1.27 × 105
8000 5.59 1.45 × 105
9000 6.29 1.63 × 105
1.00 × 104 6.99 1.81 × 105
1.64 × 104 11.5 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 0.0948 1380
50.0 0.110 1610
60.0 0.133 1930
70.0 0.155 2260
80.0 0.177 2580
90.0 0.199 2900
100 0.221 3220
200 0.442 6440
300 0.663 9660
400 0.884 1.29 × 104
500 1.10 1.61 × 104
600 1.33 1.93 × 104
700 1.55 2.26 × 104
800 1.77 2.58 × 104
900 1.99 2.90 × 104
1000 2.21 3.22 × 104
2000 4.42 6.44 × 104
3000 6.63 9.66 × 104
4000 8.84 1.29 × 105
5000 11.0 1.61 × 105
6000 13.3 1.93 × 105
6790 15.0 2.19 × 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 0.231 2160
50.0 0.270 2520
60.0 0.324 3020
70.0 0.378 3520
80.0 0.432 4030
90.0 0.485 4530
100 0.539 5030
200 1.08 1.01 × 104
300 1.62 1.51 × 104
400 2.16 2.01 × 104
500 2.70 2.52 × 104
600 3.24 3.02 × 104
700 3.78 3.52 × 104
800 4.32 4.03 × 104
900 4.85 4.53 × 104
1000 5.39 5.03 × 104
2000 10.8 1.01 × 105
2780 15.0 1.40 × 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 0.480 3110
50.0 0.559 3620
60.0 0.671 4350
70.0 0.783 5070
80.0 0.895 5800
90.0 1.01 6520
100 1.12 7250
200 2.24 1.45 × 104
300 3.36 2.17 × 104
400 4.47 2.90 × 104
500 5.59 3.62 × 104
600 6.71 4.35 × 104
700 7.83 5.07 × 104
800 8.95 5.80 × 104
900 10.1 6.52 × 104
1000 11.2 7.25 × 104
1340 15.0 9.72 × 104
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 0.889 4230
50.0 1.04 4930
60.0 1.24 5920
70.0 1.45 6910
80.0 1.66 7890
90.0 1.86 8880
100 2.07 9870
200 4.14 1.97 × 104
300 6.22 2.96 × 104
400 8.29 3.95 × 104
500 10.4 4.93 × 104
600 12.4 5.92 × 104
700 14.5 6.91 × 104
724 15.0 7.14 × 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 1.52 5530
50.0 1.77 6440
60.0 2.12 7730
70.0 2.47 9020
80.0 2.83 1.03 × 104
90.0 3.18 1.16 × 104
100 3.54 1.29 × 104
200 7.07 2.58 × 104
300 10.6 3.87 × 104
400 14.1 5.15 × 104
424 15.0 5.47 × 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 2.43 7000
50.0 2.83 8150
60.0 3.40 9790
70.0 3.96 1.14 × 104
80.0 4.53 1.30 × 104
90.0 5.10 1.47 × 104
100 5.66 1.63 × 104
200 11.3 3.26 × 104
265 15.0 4.32 × 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 3.70 8640
50.0 4.32 1.01 × 104
60.0 5.18 1.21 × 104
70.0 6.04 1.41 × 104
80.0 6.90 1.61 × 104
90.0 7.77 1.81 × 104
100 8.63 2.01 × 104
174 15.0 3.50 × 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 9.04 1.35 × 104
50.0 10.5 1.57 × 104
60.0 12.6 1.89 × 104
70.0 14.7 2.20 × 104
71.2 15.0 2.24 × 104
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