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S Section Steel I Beam: S3 × 7.5
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 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 = 2.93 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
L = 40 ft
   
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 6.13 × 10-5 51.8
8.00 6.54 × 10-5 55.3
9.00 7.35 × 10-5 62.2
10.0 8.17 × 10-5 69.1
20.0 1.63 × 10-4 138
30.0 2.45 × 10-4 207
40.0 3.27 × 10-4 276
50.0 4.08 × 10-4 346
60.0 4.90 × 10-4 415
70.0 5.72 × 10-4 484
80.0 6.54 × 10-4 553
90.0 7.35 × 10-4 622
100 8.17 × 10-4 691
200 0.00163 1380
300 0.00245 2070
400 0.00327 2760
500 0.00408 3460
600 0.00490 4150
700 0.00572 4840
800 0.00654 5530
900 0.00735 6220
1000 0.00817 6910
2000 0.0163 1.38 × 104
3000 0.0245 2.07 × 104
4000 0.0327 2.76 × 104
5000 0.0408 3.46 × 104
6000 0.0490 4.15 × 104
7000 0.0572 4.84 × 104
8000 0.0654 5.53 × 104
9000 0.0735 6.22 × 104
1.00 × 104 0.0817 6.91 × 104
2.00 × 104 0.163 1.38 × 105
3.00 × 104 0.245 2.07 × 105
4.00 × 104 0.327 2.76 × 105
4.30 × 104 0.351 2.97 × 105
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 4.73 × 10-4 144
8.00 5.04 × 10-4 154
9.00 5.67 × 10-4 173
10.0 6.30 × 10-4 192
20.0 0.00126 384
30.0 0.00189 576
40.0 0.00252 768
50.0 0.00315 960
60.0 0.00378 1150
70.0 0.00441 1340
80.0 0.00504 1540
90.0 0.00567 1730
100 0.00630 1920
200 0.0126 3840
300 0.0189 5760
400 0.0252 7680
500 0.0315 9600
600 0.0378 1.15 × 104
700 0.0441 1.34 × 104
800 0.0504 1.54 × 104
900 0.0567 1.73 × 104
1000 0.0630 1.92 × 104
2000 0.126 3.84 × 104
3000 0.189 5.76 × 104
4000 0.252 7.68 × 104
5000 0.315 9.60 × 104
6000 0.378 1.15 × 105
7000 0.441 1.34 × 105
8000 0.504 1.54 × 105
9000 0.567 1.73 × 105
1.00 × 104 0.630 1.92 × 105
1.55 × 104 0.975 2.97 × 105
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.00756 576
8.00 0.00807 614
9.00 0.00908 691
10.0 0.0101 768
20.0 0.0202 1540
30.0 0.0303 2300
40.0 0.0403 3070
50.0 0.0504 3840
60.0 0.0605 4610
70.0 0.0706 5380
80.0 0.0807 6140
90.0 0.0908 6910
100 0.101 7680
200 0.202 1.54 × 104
300 0.303 2.30 × 104
400 0.403 3.07 × 104
500 0.504 3.84 × 104
600 0.605 4.61 × 104
700 0.706 5.38 × 104
800 0.807 6.14 × 104
900 0.908 6.91 × 104
1000 1.01 7.68 × 104
2000 2.02 1.54 × 105
2970 3.00 2.28 × 105
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.0383 1300
8.00 0.0408 1380
9.00 0.0459 1560
10.0 0.0511 1730
20.0 0.102 3460
30.0 0.153 5180
40.0 0.204 6910
50.0 0.255 8640
60.0 0.306 1.04 × 104
70.0 0.357 1.21 × 104
80.0 0.408 1.38 × 104
90.0 0.459 1.56 × 104
100 0.511 1.73 × 104
200 1.02 3.46 × 104
300 1.53 5.18 × 104
400 2.04 6.91 × 104
500 2.55 8.64 × 104
588 3.00 1.02 × 105
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.121 2300
8.00 0.129 2460
9.00 0.145 2760
10.0 0.161 3070
20.0 0.323 6140
30.0 0.484 9220
40.0 0.645 1.23 × 104
50.0 0.807 1.54 × 104
60.0 0.968 1.84 × 104
70.0 1.13 2.15 × 104
80.0 1.29 2.46 × 104
90.0 1.45 2.76 × 104
100 1.61 3.07 × 104
186 3.00 5.71 × 104
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.295 3600
8.00 0.315 3840
9.00 0.355 4320
10.0 0.394 4800
20.0 0.788 9600
30.0 1.18 1.44 × 104
40.0 1.58 1.92 × 104
50.0 1.97 2.40 × 104
60.0 2.36 2.88 × 104
70.0 2.76 3.36 × 104
76.2 3.00 3.65 × 104
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 0.613 5180
8.00 0.654 5530
9.00 0.735 6220
10.0 0.817 6910
20.0 1.63 1.38 × 104
30.0 2.45 2.07 × 104
36.7 3.00 2.54 × 104
Steel I Beam: S3 × 7.5 (S3 inch tall × 7.5 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.50 1.94 9220
8.00 2.07 9830
9.00 2.32 1.11 × 104
10.0 2.58 1.23 × 104
11.6 3.00 1.43 × 104
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