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S Section Steel I Beam: S3 × 7.5
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 2.93 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 8.00 × 10-5 41.5
8.00 8.53 × 10-5 44.2
9.00 9.60 × 10-5 49.8
10.0 1.07 × 10-4 55.3
20.0 2.13 × 10-4 111
30.0 3.20 × 10-4 166
40.0 4.27 × 10-4 221
50.0 5.33 × 10-4 276
60.0 6.40 × 10-4 332
70.0 7.47 × 10-4 387
80.0 8.53 × 10-4 442
90.0 9.60 × 10-4 498
100 0.00107 553
200 0.00213 1110
300 0.00320 1660
400 0.00427 2210
500 0.00533 2760
600 0.00640 3320
700 0.00747 3870
800 0.00853 4420
900 0.00960 4980
1000 0.0107 5530
2000 0.0213 1.11 × 104
3000 0.0320 1.66 × 104
4000 0.0427 2.21 × 104
5000 0.0533 2.76 × 104
6000 0.0640 3.32 × 104
7000 0.0747 3.87 × 104
8000 0.0853 4.42 × 104
9000 0.0960 4.98 × 104
1.00 × 104 0.107 5.53 × 104
2.00 × 104 0.213 1.11 × 105
3.00 × 104 0.320 1.66 × 105
4.00 × 104 0.427 2.21 × 105
5.00 × 104 0.533 2.76 × 105
5.37 × 104 0.573 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 6.17 × 10-4 115
8.00 6.58 × 10-4 123
9.00 7.41 × 10-4 138
10.0 8.23 × 10-4 154
20.0 0.00165 307
30.0 0.00247 461
40.0 0.00329 614
50.0 0.00411 768
60.0 0.00494 922
70.0 0.00576 1080
80.0 0.00658 1230
90.0 0.00741 1380
100 0.00823 1540
200 0.0165 3070
300 0.0247 4610
400 0.0329 6140
500 0.0411 7680
600 0.0494 9220
700 0.0576 1.08 × 104
800 0.0658 1.23 × 104
900 0.0741 1.38 × 104
1000 0.0823 1.54 × 104
2000 0.165 3.07 × 104
3000 0.247 4.61 × 104
4000 0.329 6.14 × 104
5000 0.411 7.68 × 104
6000 0.494 9.22 × 104
7000 0.576 1.08 × 105
8000 0.658 1.23 × 105
9000 0.741 1.38 × 105
1.00 × 104 0.823 1.54 × 105
1.93 × 104 1.59 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 0.00988 461
8.00 0.0105 491
9.00 0.0119 553
10.0 0.0132 614
20.0 0.0263 1230
30.0 0.0395 1840
40.0 0.0527 2460
50.0 0.0658 3070
60.0 0.0790 3690
70.0 0.0922 4300
80.0 0.105 4910
90.0 0.119 5530
100 0.132 6140
200 0.263 1.23 × 104
300 0.395 1.84 × 104
400 0.527 2.46 × 104
500 0.658 3.07 × 104
600 0.790 3.69 × 104
700 0.922 4.30 × 104
800 1.05 4.91 × 104
900 1.19 5.53 × 104
1000 1.32 6.14 × 104
2000 2.63 1.23 × 105
2280 3.00 1.40 × 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 0.0500 1040
8.00 0.0533 1110
9.00 0.0600 1240
10.0 0.0667 1380
20.0 0.133 2760
30.0 0.200 4150
40.0 0.267 5530
50.0 0.333 6910
60.0 0.400 8290
70.0 0.467 9680
80.0 0.533 1.11 × 104
90.0 0.600 1.24 × 104
100 0.667 1.38 × 104
200 1.33 2.76 × 104
300 2.00 4.15 × 104
400 2.67 5.53 × 104
450 3.00 6.22 × 104
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 0.158 1840
8.00 0.169 1970
9.00 0.190 2210
10.0 0.211 2460
20.0 0.421 4910
30.0 0.632 7370
40.0 0.843 9830
50.0 1.05 1.23 × 104
60.0 1.26 1.47 × 104
70.0 1.47 1.72 × 104
80.0 1.69 1.97 × 104
90.0 1.90 2.21 × 104
100 2.11 2.46 × 104
142 3.00 3.50 × 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 0.386 2880
8.00 0.411 3070
9.00 0.463 3460
10.0 0.514 3840
20.0 1.03 7680
30.0 1.54 1.15 × 104
40.0 2.06 1.54 × 104
50.0 2.57 1.92 × 104
58.3 3.00 2.24 × 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 0.800 4150
8.00 0.853 4420
9.00 0.960 4980
10.0 1.07 5530
20.0 2.13 1.11 × 104
28.1 3.00 1.56 × 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 2.53 7370
8.00 2.70 7860
8.90 3.00 8750
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