engineering fundamentals
S Section Steel I Beam: S3 × 5.7
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
   
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 1.35 × 10-4 45.8
6.00 1.42 × 10-4 48.2
7.00 1.66 × 10-4 56.3
8.00 1.90 × 10-4 64.3
9.00 2.14 × 10-4 72.3
10.0 2.37 × 10-4 80.4
20.0 4.75 × 10-4 161
30.0 7.12 × 10-4 241
40.0 9.50 × 10-4 321
50.0 0.00119 402
60.0 0.00142 482
70.0 0.00166 563
80.0 0.00190 643
90.0 0.00214 723
100 0.00237 804
200 0.00475 1610
300 0.00712 2410
400 0.00950 3210
500 0.0119 4020
600 0.0142 4820
700 0.0166 5630
800 0.0190 6430
900 0.0214 7230
1000 0.0237 8040
2000 0.0475 1.61 × 104
3000 0.0712 2.41 × 104
4000 0.0950 3.21 × 104
5000 0.119 4.02 × 104
6000 0.142 4.82 × 104
7000 0.166 5.63 × 104
8000 0.190 6.43 × 104
9000 0.214 7.23 × 104
1.00 × 104 0.237 8.04 × 104
2.00 × 104 0.475 1.61 × 105
3.00 × 104 0.712 2.41 × 105
3.70 × 104 0.878 2.97 × 105
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.00104 127
6.00 0.00110 134
7.00 0.00128 156
8.00 0.00147 179
9.00 0.00165 201
10.0 0.00183 223
20.0 0.00366 446
30.0 0.00550 670
40.0 0.00733 893
50.0 0.00916 1120
60.0 0.0110 1340
70.0 0.0128 1560
80.0 0.0147 1790
90.0 0.0165 2010
100 0.0183 2230
200 0.0366 4460
300 0.0550 6700
400 0.0733 8930
500 0.0916 1.12 × 104
600 0.110 1.34 × 104
700 0.128 1.56 × 104
800 0.147 1.79 × 104
900 0.165 2.01 × 104
1000 0.183 2.23 × 104
2000 0.366 4.46 × 104
3000 0.550 6.70 × 104
4000 0.733 8.93 × 104
5000 0.916 1.12 × 105
6000 1.10 1.34 × 105
7000 1.28 1.56 × 105
8000 1.47 1.79 × 105
9000 1.65 2.01 × 105
1.00 × 104 1.83 2.23 × 105
1.33 × 104 2.44 2.97 × 105
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.0167 509
6.00 0.0176 536
7.00 0.0205 625
8.00 0.0235 714
9.00 0.0264 804
10.0 0.0293 893
20.0 0.0586 1790
30.0 0.0879 2680
40.0 0.117 3570
50.0 0.147 4460
60.0 0.176 5360
70.0 0.205 6250
80.0 0.235 7140
90.0 0.264 8040
100 0.293 8930
200 0.586 1.79 × 104
300 0.879 2.68 × 104
400 1.17 3.57 × 104
500 1.47 4.46 × 104
600 1.76 5.36 × 104
700 2.05 6.25 × 104
800 2.35 7.14 × 104
900 2.64 8.04 × 104
1000 2.93 8.93 × 104
1020 3.00 9.14 × 104
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.0846 1150
6.00 0.0890 1210
7.00 0.104 1410
8.00 0.119 1610
9.00 0.134 1810
10.0 0.148 2010
20.0 0.297 4020
30.0 0.445 6030
40.0 0.594 8040
50.0 0.742 1.00 × 104
60.0 0.890 1.21 × 104
70.0 1.04 1.41 × 104
80.0 1.19 1.61 × 104
90.0 1.34 1.81 × 104
100 1.48 2.01 × 104
200 2.97 4.02 × 104
202 3.00 4.06 × 104
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.267 2040
6.00 0.281 2140
7.00 0.328 2500
8.00 0.375 2860
9.00 0.422 3210
10.0 0.469 3570
20.0 0.938 7140
30.0 1.41 1.07 × 104
40.0 1.88 1.43 × 104
50.0 2.35 1.79 × 104
60.0 2.81 2.14 × 104
64.0 3.00 2.28 × 104
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 0.653 3180
6.00 0.687 3350
7.00 0.802 3910
8.00 0.916 4460
9.00 1.03 5020
10.0 1.15 5580
20.0 2.29 1.12 × 104
26.2 3.00 1.46 × 104
Steel I Beam: S3 × 5.7 (S Section 3 inch tall × 5.7 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.70 1.35 4580
6.00 1.42 4820
7.00 1.66 5630
8.00 1.90 6430
9.00 2.14 7230
10.0 2.37 8040
12.6 3.00 1.02 × 104
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