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S Section Steel I Beam: S3 × 7.5
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S3 × 7.5
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 = 2.93 in4) for the S3 × 7.5 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 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 1.53 × 10-4 51.8
8.00 1.63 × 10-4 55.3
9.00 1.84 × 10-4 62.2
10.0 2.04 × 10-4 69.1
20.0 4.08 × 10-4 138
30.0 6.13 × 10-4 207
40.0 8.17 × 10-4 276
50.0 0.00102 346
60.0 0.00123 415
70.0 0.00143 484
80.0 0.00163 553
90.0 0.00184 622
100 0.00204 691
200 0.00408 1380
300 0.00613 2070
400 0.00817 2760
500 0.0102 3460
600 0.0123 4150
700 0.0143 4840
800 0.0163 5530
900 0.0184 6220
1000 0.0204 6910
2000 0.0408 1.38 × 104
3000 0.0613 2.07 × 104
4000 0.0817 2.76 × 104
5000 0.102 3.46 × 104
6000 0.123 4.15 × 104
7000 0.143 4.84 × 104
8000 0.163 5.53 × 104
9000 0.184 6.22 × 104
1.00 × 104 0.204 6.91 × 104
2.00 × 104 0.408 1.38 × 105
3.00 × 104 0.613 2.07 × 105
4.00 × 104 0.817 2.76 × 105
4.30 × 104 0.878 2.97 × 105
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.00118 144
8.00 0.00126 154
9.00 0.00142 173
10.0 0.00158 192
20.0 0.00315 384
30.0 0.00473 576
40.0 0.00630 768
50.0 0.00788 960
60.0 0.00945 1150
70.0 0.0110 1340
80.0 0.0126 1540
90.0 0.0142 1730
100 0.0158 1920
200 0.0315 3840
300 0.0473 5760
400 0.0630 7680
500 0.0788 9600
600 0.0945 1.15 × 104
700 0.110 1.34 × 104
800 0.126 1.54 × 104
900 0.142 1.73 × 104
1000 0.158 1.92 × 104
2000 0.315 3.84 × 104
3000 0.473 5.76 × 104
4000 0.630 7.68 × 104
5000 0.788 9.60 × 104
6000 0.945 1.15 × 105
7000 1.10 1.34 × 105
8000 1.26 1.54 × 105
9000 1.42 1.73 × 105
1.00 × 104 1.58 1.92 × 105
1.55 × 104 2.44 2.97 × 105
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.0189 576
8.00 0.0202 614
9.00 0.0227 691
10.0 0.0252 768
20.0 0.0504 1540
30.0 0.0756 2300
40.0 0.101 3070
50.0 0.126 3840
60.0 0.151 4610
70.0 0.176 5380
80.0 0.202 6140
90.0 0.227 6910
100 0.252 7680
200 0.504 1.54 × 104
300 0.756 2.30 × 104
400 1.01 3.07 × 104
500 1.26 3.84 × 104
600 1.51 4.61 × 104
700 1.76 5.38 × 104
800 2.02 6.14 × 104
900 2.27 6.91 × 104
1000 2.52 7.68 × 104
1190 3.00 9.14 × 104
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.0957 1300
8.00 0.102 1380
9.00 0.115 1560
10.0 0.128 1730
20.0 0.255 3460
30.0 0.383 5180
40.0 0.511 6910
50.0 0.638 8640
60.0 0.766 1.04 × 104
70.0 0.893 1.21 × 104
80.0 1.02 1.38 × 104
90.0 1.15 1.56 × 104
100 1.28 1.73 × 104
200 2.55 3.46 × 104
235 3.00 4.06 × 104
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.303 2300
8.00 0.323 2460
9.00 0.363 2760
10.0 0.403 3070
20.0 0.807 6140
30.0 1.21 9220
40.0 1.61 1.23 × 104
50.0 2.02 1.54 × 104
60.0 2.42 1.84 × 104
70.0 2.82 2.15 × 104
74.4 3.00 2.28 × 104
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.739 3600
8.00 0.788 3840
9.00 0.886 4320
10.0 0.985 4800
20.0 1.97 9600
30.0 2.95 1.44 × 104
30.5 3.00 1.46 × 104
Steel I Beam: S3 × 7.5 (S Section 3 inch tall × 7.5 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 1.53 5180
8.00 1.63 5530
9.00 1.84 6220
10.0 2.04 6910
14.7 3.00 1.02 × 104
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