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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 6.55 × 10-5 39.2
6.00 6.89 × 10-5 41.3
7.00 8.04 × 10-5 48.2
8.00 9.19 × 10-5 55.1
9.00 1.03 × 10-4 62.0
10.0 1.15 × 10-4 68.9
20.0 2.30 × 10-4 138
30.0 3.45 × 10-4 207
40.0 4.60 × 10-4 275
50.0 5.74 × 10-4 344
60.0 6.89 × 10-4 413
70.0 8.04 × 10-4 482
80.0 9.19 × 10-4 551
90.0 0.00103 620
100 0.00115 689
200 0.00230 1380
300 0.00345 2070
400 0.00460 2750
500 0.00574 3440
600 0.00689 4130
700 0.00804 4820
800 0.00919 5510
900 0.0103 6200
1000 0.0115 6880
2000 0.0230 1.38 × 104
3000 0.0345 2.07 × 104
4000 0.0460 2.75 × 104
5000 0.0574 3.44 × 104
6000 0.0689 4.13 × 104
7000 0.0804 4.82 × 104
8000 0.0919 5.51 × 104
9000 0.103 6.20 × 104
1.00 × 104 0.115 6.89 × 104
2.00 × 104 0.230 1.38 × 105
3.00 × 104 0.345 2.07 × 105
4.00 × 104 0.460 2.75 × 105
4.31 × 104 0.496 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 5.05 × 10-4 109
6.00 5.32 × 10-4 115
7.00 6.21 × 10-4 134
8.00 7.09 × 10-4 153
9.00 7.98 × 10-4 172
10.0 8.86 × 10-4 191
20.0 0.00177 383
30.0 0.00266 574
40.0 0.00355 765
50.0 0.00443 956
60.0 0.00532 1150
70.0 0.00621 1340
80.0 0.00709 1530
90.0 0.00798 1720
100 0.00886 1910
200 0.0177 3830
300 0.0266 5740
400 0.0355 7650
500 0.0443 9560
600 0.0532 1.15 × 104
700 0.0621 1.34 × 104
800 0.0709 1.53 × 104
900 0.0798 1.72 × 104
1000 0.0886 1.91 × 104
2000 0.177 3.82 × 104
3000 0.266 5.74 × 104
4000 0.355 7.65 × 104
5000 0.443 9.56 × 104
6000 0.532 1.15 × 105
7000 0.621 1.34 × 105
8000 0.709 1.53 × 105
9000 0.798 1.72 × 105
1.00 × 104 0.886 1.91 × 105
1.55 × 104 1.38 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 0.00808 436
6.00 0.00851 459
7.00 0.00993 536
8.00 0.0113 612
9.00 0.0128 689
10.0 0.0142 765
20.0 0.0284 1530
30.0 0.0426 2300
40.0 0.0567 3060
50.0 0.0709 3830
60.0 0.0851 4590
70.0 0.0993 5350
80.0 0.113 6120
90.0 0.128 6890
100 0.142 7650
200 0.284 1.53 × 104
300 0.426 2.30 × 104
400 0.567 3.06 × 104
500 0.709 3.82 × 104
600 0.851 4.59 × 104
700 0.993 5.36 × 104
800 1.13 6.12 × 104
900 1.28 6.89 × 104
1000 1.42 7.65 × 104
2000 2.84 1.53 × 105
2120 3.00 1.62 × 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 0.0409 981
6.00 0.0431 1030
7.00 0.0503 1200
8.00 0.0574 1380
9.00 0.0646 1550
10.0 0.0718 1720
20.0 0.144 3440
30.0 0.215 5160
40.0 0.287 6890
50.0 0.359 8610
60.0 0.431 1.03 × 104
70.0 0.503 1.20 × 104
80.0 0.574 1.38 × 104
90.0 0.646 1.55 × 104
100 0.718 1.72 × 104
200 1.44 3.44 × 104
300 2.15 5.16 × 104
400 2.87 6.89 × 104
418 3.00 7.19 × 104
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 0.129 1740
6.00 0.136 1840
7.00 0.159 2140
8.00 0.182 2450
9.00 0.204 2750
10.0 0.227 3060
20.0 0.454 6120
30.0 0.681 9180
40.0 0.908 1.22 × 104
50.0 1.13 1.53 × 104
60.0 1.36 1.84 × 104
70.0 1.59 2.14 × 104
80.0 1.82 2.45 × 104
90.0 2.04 2.75 × 104
100 2.27 3.06 × 104
132 3.00 4.05 × 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 0.316 2730
6.00 0.332 2870
7.00 0.388 3350
8.00 0.443 3820
9.00 0.499 4300
10.0 0.554 4780
20.0 1.11 9560
30.0 1.66 1.43 × 104
40.0 2.22 1.91 × 104
50.0 2.77 2.39 × 104
54.1 3.00 2.59 × 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 0.655 3920
6.00 0.689 4130
7.00 0.804 4820
8.00 0.919 5510
9.00 1.03 6200
10.0 1.15 6890
20.0 2.30 1.38 × 104
26.1 3.00 1.80 × 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 2.07 6980
6.00 2.18 7340
7.00 2.54 8570
8.00 2.90 9790
8.26 3.00 1.01 × 104
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