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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 7.07 × 10-5 36.6
6.00 7.44 × 10-5 38.6
7.00 8.68 × 10-5 45.0
8.00 9.92 × 10-5 51.4
9.00 1.12 × 10-4 57.9
10.0 1.24 × 10-4 64.3
20.0 2.48 × 10-4 129
30.0 3.72 × 10-4 193
40.0 4.96 × 10-4 257
50.0 6.20 × 10-4 321
60.0 7.44 × 10-4 386
70.0 8.68 × 10-4 450
80.0 9.92 × 10-4 514
90.0 0.00112 579
100 0.00124 643
200 0.00248 1290
300 0.00372 1930
400 0.00496 2570
500 0.00620 3210
600 0.00744 3860
700 0.00868 4500
800 0.00992 5140
900 0.0112 5790
1000 0.0124 6430
2000 0.0248 1.29 × 104
3000 0.0372 1.93 × 104
4000 0.0496 2.57 × 104
5000 0.0620 3.21 × 104
6000 0.0744 3.86 × 104
7000 0.0868 4.50 × 104
8000 0.0992 5.14 × 104
9000 0.112 5.79 × 104
1.00 × 104 0.124 6.43 × 104
2.00 × 104 0.248 1.29 × 105
3.00 × 104 0.372 1.93 × 105
4.00 × 104 0.496 2.57 × 105
4.62 × 104 0.573 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 5.45 × 10-4 102
6.00 5.74 × 10-4 107
7.00 6.70 × 10-4 125
8.00 7.65 × 10-4 143
9.00 8.61 × 10-4 161
10.0 9.57 × 10-4 179
20.0 0.00191 357
30.0 0.00287 536
40.0 0.00383 714
50.0 0.00478 893
60.0 0.00574 1070
70.0 0.00670 1250
80.0 0.00765 1430
90.0 0.00861 1610
100 0.00957 1790
200 0.0191 3570
300 0.0287 5360
400 0.0383 7140
500 0.0478 8930
600 0.0574 1.07 × 104
700 0.0670 1.25 × 104
800 0.0765 1.43 × 104
900 0.0861 1.61 × 104
1000 0.0957 1.79 × 104
2000 0.191 3.57 × 104
3000 0.287 5.36 × 104
4000 0.383 7.14 × 104
5000 0.478 8.93 × 104
6000 0.574 1.07 × 105
7000 0.670 1.25 × 105
8000 0.765 1.43 × 105
9000 0.861 1.61 × 105
1.00 × 104 0.957 1.79 × 105
1.66 × 104 1.59 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 0.00873 407
6.00 0.00919 429
7.00 0.0107 500
8.00 0.0122 571
9.00 0.0138 643
10.0 0.0153 714
20.0 0.0306 1430
30.0 0.0459 2140
40.0 0.0612 2860
50.0 0.0765 3570
60.0 0.0919 4290
70.0 0.107 5000
80.0 0.122 5710
90.0 0.138 6430
100 0.153 7140
200 0.306 1.43 × 104
300 0.459 2.14 × 104
400 0.612 2.86 × 104
500 0.765 3.57 × 104
600 0.919 4.29 × 104
700 1.07 5.00 × 104
800 1.22 5.71 × 104
900 1.38 6.43 × 104
1000 1.53 7.14 × 104
1960 3.00 1.40 × 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 0.0442 916
6.00 0.0465 964
7.00 0.0543 1130
8.00 0.0620 1290
9.00 0.0698 1450
10.0 0.0775 1610
20.0 0.155 3210
30.0 0.233 4820
40.0 0.310 6430
50.0 0.388 8040
60.0 0.465 9640
70.0 0.543 1.13 × 104
80.0 0.620 1.29 × 104
90.0 0.698 1.45 × 104
100 0.775 1.61 × 104
200 1.55 3.21 × 104
300 2.33 4.82 × 104
387 3.00 6.22 × 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 0.140 1630
6.00 0.147 1710
7.00 0.171 2000
8.00 0.196 2290
9.00 0.220 2570
10.0 0.245 2860
20.0 0.490 5710
30.0 0.735 8570
40.0 0.980 1.14 × 104
50.0 1.22 1.43 × 104
60.0 1.47 1.71 × 104
70.0 1.71 2.00 × 104
80.0 1.96 2.29 × 104
90.0 2.20 2.57 × 104
100 2.45 2.86 × 104
122 3.00 3.50 × 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 0.341 2540
6.00 0.359 2680
7.00 0.419 3130
8.00 0.478 3570
9.00 0.538 4020
10.0 0.598 4460
20.0 1.20 8930
30.0 1.79 1.34 × 104
40.0 2.39 1.79 × 104
50.0 2.99 2.23 × 104
50.2 3.00 2.24 × 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 0.707 3660
6.00 0.744 3860
7.00 0.868 4500
8.00 0.992 5140
9.00 1.12 5790
10.0 1.24 6430
20.0 2.48 1.29 × 104
24.2 3.00 1.56 × 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 2.23 6510
6.00 2.35 6860
7.00 2.74 8000
7.65 3.00 8750
Additional Information
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