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S Section Steel I Beam: S3 × 5.7
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S3 × 5.7
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 = 2.52 in4) for the S3 × 5.7 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
  
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 5.41 × 10-5 45.8
6.00 5.70 × 10-5 48.2
7.00 6.65 × 10-5 56.3
8.00 7.60 × 10-5 64.3
9.00 8.55 × 10-5 72.3
10.0 9.50 × 10-5 80.4
20.0 1.90 × 10-4 161
30.0 2.85 × 10-4 241
40.0 3.80 × 10-4 321
50.0 4.75 × 10-4 402
60.0 5.70 × 10-4 482
70.0 6.65 × 10-4 563
80.0 7.60 × 10-4 643
90.0 8.55 × 10-4 723
100 9.50 × 10-4 804
200 0.00190 1610
300 0.00285 2410
400 0.00380 3210
500 0.00475 4020
600 0.00570 4820
700 0.00665 5630
800 0.00760 6430
900 0.00855 7230
1000 0.00950 8040
2000 0.0190 1.61 × 104
3000 0.0285 2.41 × 104
4000 0.0380 3.21 × 104
5000 0.0475 4.02 × 104
6000 0.0570 4.82 × 104
7000 0.0665 5.63 × 104
8000 0.0760 6.43 × 104
9000 0.0855 7.23 × 104
1.00 × 104 0.0950 8.04 × 104
2.00 × 104 0.190 1.61 × 105
3.00 × 104 0.285 2.41 × 105
3.70 × 104 0.351 2.97 × 105
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 4.18 × 10-4 127
6.00 4.40 × 10-4 134
7.00 5.13 × 10-4 156
8.00 5.86 × 10-4 179
9.00 6.60 × 10-4 201
10.0 7.33 × 10-4 223
20.0 0.00147 446
30.0 0.00220 670
40.0 0.00293 893
50.0 0.00366 1120
60.0 0.00440 1340
70.0 0.00513 1560
80.0 0.00586 1790
90.0 0.00660 2010
100 0.00733 2230
200 0.0147 4460
300 0.0220 6700
400 0.0293 8930
500 0.0366 1.12 × 104
600 0.0440 1.34 × 104
700 0.0513 1.56 × 104
800 0.0586 1.79 × 104
900 0.0660 2.01 × 104
1000 0.0733 2.23 × 104
2000 0.147 4.46 × 104
3000 0.220 6.70 × 104
4000 0.293 8.93 × 104
5000 0.366 1.12 × 105
6000 0.440 1.34 × 105
7000 0.513 1.56 × 105
8000 0.586 1.79 × 105
9000 0.660 2.01 × 105
1.00 × 104 0.733 2.23 × 105
1.33 × 104 0.975 2.97 × 105
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.00668 509
6.00 0.00704 536
7.00 0.00821 625
8.00 0.00938 714
9.00 0.0106 804
10.0 0.0117 893
20.0 0.0235 1790
30.0 0.0352 2680
40.0 0.0469 3570
50.0 0.0586 4460
60.0 0.0704 5360
70.0 0.0821 6250
80.0 0.0938 7140
90.0 0.106 8040
100 0.117 8930
200 0.235 1.79 × 104
300 0.352 2.68 × 104
400 0.469 3.57 × 104
500 0.586 4.46 × 104
600 0.704 5.36 × 104
700 0.821 6.25 × 104
800 0.938 7.14 × 104
900 1.06 8.04 × 104
1000 1.17 8.93 × 104
2000 2.35 1.79 × 105
2560 3.00 2.28 × 105
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.0338 1150
6.00 0.0356 1210
7.00 0.0416 1410
8.00 0.0475 1610
9.00 0.0534 1810
10.0 0.0594 2010
20.0 0.119 4020
30.0 0.178 6030
40.0 0.237 8040
50.0 0.297 1.00 × 104
60.0 0.356 1.21 × 104
70.0 0.416 1.41 × 104
80.0 0.475 1.61 × 104
90.0 0.534 1.81 × 104
100 0.594 2.01 × 104
200 1.19 4.02 × 104
300 1.78 6.03 × 104
400 2.37 8.04 × 104
500 2.97 1.00 × 105
505 3.00 1.02 × 105
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.107 2040
6.00 0.113 2140
7.00 0.131 2500
8.00 0.150 2860
9.00 0.169 3210
10.0 0.188 3570
20.0 0.375 7140
30.0 0.563 1.07 × 104
40.0 0.750 1.43 × 104
50.0 0.938 1.79 × 104
60.0 1.13 2.14 × 104
70.0 1.31 2.50 × 104
80.0 1.50 2.86 × 104
90.0 1.69 3.21 × 104
100 1.88 3.57 × 104
160 3.00 5.71 × 104
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.261 3180
6.00 0.275 3350
7.00 0.321 3910
8.00 0.366 4460
9.00 0.412 5020
10.0 0.458 5580
20.0 0.916 1.12 × 104
30.0 1.37 1.67 × 104
40.0 1.83 2.23 × 104
50.0 2.29 2.79 × 104
60.0 2.75 3.35 × 104
65.5 3.00 3.65 × 104
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.541 4580
6.00 0.570 4820
7.00 0.665 5630
8.00 0.760 6430
9.00 0.855 7230
10.0 0.950 8040
20.0 1.90 1.61 × 104
30.0 2.85 2.41 × 104
31.6 3.00 2.54 × 104
Steel I Beam: S3 × 5.7 (S3 inch tall × 5.7 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 1.71 8140
6.00 1.80 8570
7.00 2.10 1.00 × 104
8.00 2.40 1.14 × 104
9.00 2.70 1.29 × 104
9.99 3.00 1.43 × 104
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