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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S7 × 15.3
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 = 36.7 in4) for the S7 × 15.3 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
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
   
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 1.30 × 10-5 15.8
20.0 1.70 × 10-5 20.6
30.0 2.55 × 10-5 30.9
40.0 3.41 × 10-5 41.2
50.0 4.26 × 10-5 51.5
60.0 5.11 × 10-5 61.8
70.0 5.96 × 10-5 72.1
80.0 6.81 × 10-5 82.4
90.0 7.66 × 10-5 92.7
100 8.51 × 10-5 103
200 1.70 × 10-4 206
300 2.55 × 10-4 309
400 3.41 × 10-4 412
500 4.26 × 10-4 515
600 5.11 × 10-4 618
700 5.96 × 10-4 721
800 6.81 × 10-4 824
900 7.66 × 10-4 927
1000 8.51 × 10-4 1030
2000 0.00170 2060
3000 0.00255 3090
4000 0.00341 4120
5000 0.00426 5150
6000 0.00511 6180
7000 0.00596 7210
8000 0.00681 8240
9000 0.00766 9270
1.00 × 104 0.00851 1.03 × 104
2.00 × 104 0.0170 2.06 × 104
3.00 × 104 0.0255 3.09 × 104
4.00 × 104 0.0341 4.12 × 104
5.00 × 104 0.0426 5.15 × 104
6.00 × 104 0.0511 6.18 × 104
7.00 × 104 0.0596 7.21 × 104
8.00 × 104 0.0681 8.24 × 104
9.00 × 104 0.0766 9.27 × 104
1.00 × 105 0.0851 1.03 × 105
2.00 × 105 0.170 2.06 × 105
2.88 × 105 0.246 2.97 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 1.01 × 10-4 43.8
20.0 1.31 × 10-4 57.2
30.0 1.97 × 10-4 85.8
40.0 2.63 × 10-4 114
50.0 3.29 × 10-4 143
60.0 3.94 × 10-4 172
70.0 4.60 × 10-4 200
80.0 5.26 × 10-4 229
90.0 5.91 × 10-4 257
100 6.57 × 10-4 286
200 0.00131 572
300 0.00197 858
400 0.00263 1140
500 0.00329 1430
600 0.00394 1720
700 0.00460 2000
800 0.00526 2290
900 0.00591 2570
1000 0.00657 2860
2000 0.0131 5720
3000 0.0197 8580
4000 0.0263 1.14 × 104
5000 0.0329 1.43 × 104
6000 0.0394 1.72 × 104
7000 0.0460 2.00 × 104
8000 0.0526 2.29 × 104
9000 0.0591 2.57 × 104
1.00 × 104 0.0657 2.86 × 104
2.00 × 104 0.131 5.72 × 104
3.00 × 104 0.197 8.58 × 104
4.00 × 104 0.263 1.14 × 105
5.00 × 104 0.329 1.43 × 105
6.00 × 104 0.394 1.72 × 105
7.00 × 104 0.460 2.00 × 105
8.00 × 104 0.526 2.29 × 105
9.00 × 104 0.591 2.57 × 105
1.00 × 105 0.657 2.86 × 105
1.04 × 105 0.682 2.97 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.00161 175
20.0 0.00210 229
30.0 0.00315 343
40.0 0.00420 458
50.0 0.00526 572
60.0 0.00631 687
70.0 0.00736 801
80.0 0.00841 916
90.0 0.00946 1030
100 0.0105 1140
200 0.0210 2290
300 0.0315 3430
400 0.0420 4580
500 0.0526 5720
600 0.0631 6870
700 0.0736 8010
800 0.0841 9160
900 0.0946 1.03 × 104
1000 0.105 1.14 × 104
2000 0.210 2.29 × 104
3000 0.315 3.43 × 104
4000 0.420 4.58 × 104
5000 0.526 5.72 × 104
6000 0.631 6.87 × 104
7000 0.736 8.01 × 104
8000 0.841 9.16 × 104
9000 0.946 1.03 × 105
1.00 × 104 1.05 1.14 × 105
2.00 × 104 2.10 2.29 × 105
2.60 × 104 2.73 2.97 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.00814 394
20.0 0.0106 515
30.0 0.0160 772
40.0 0.0213 1030
50.0 0.0266 1290
60.0 0.0319 1540
70.0 0.0373 1800
80.0 0.0426 2060
90.0 0.0479 2320
100 0.0532 2570
200 0.106 5150
300 0.160 7720
400 0.213 1.03 × 104
500 0.266 1.29 × 104
600 0.319 1.54 × 104
700 0.373 1.80 × 104
800 0.426 2.06 × 104
900 0.479 2.32 × 104
1000 0.532 2.57 × 104
2000 1.06 5.15 × 104
3000 1.60 7.72 × 104
4000 2.13 1.03 × 105
5000 2.66 1.29 × 105
6000 3.19 1.54 × 105
7000 3.73 1.80 × 105
8000 4.26 2.06 × 105
9000 4.79 2.32 × 105
1.00 × 104 5.32 2.57 × 105
1.15 × 104 6.14 2.97 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.0257 700
20.0 0.0336 916
30.0 0.0505 1370
40.0 0.0673 1830
50.0 0.0841 2290
60.0 0.101 2750
70.0 0.118 3200
80.0 0.135 3660
90.0 0.151 4120
100 0.168 4580
200 0.336 9160
300 0.505 1.37 × 104
400 0.673 1.83 × 104
500 0.841 2.29 × 104
600 1.01 2.75 × 104
700 1.18 3.20 × 104
800 1.35 3.66 × 104
900 1.51 4.12 × 104
1000 1.68 4.58 × 104
2000 3.36 9.16 × 104
3000 5.05 1.37 × 105
4000 6.73 1.83 × 105
4160 7.00 1.91 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.0628 1090
20.0 0.0821 1430
30.0 0.123 2150
40.0 0.164 2860
50.0 0.205 3580
60.0 0.246 4290
70.0 0.287 5010
80.0 0.329 5720
90.0 0.370 6440
100 0.411 7150
200 0.821 1.43 × 104
300 1.23 2.15 × 104
400 1.64 2.86 × 104
500 2.05 3.58 × 104
600 2.46 4.29 × 104
700 2.87 5.01 × 104
800 3.29 5.72 × 104
900 3.70 6.44 × 104
1000 4.11 7.15 × 104
1700 7.00 1.22 × 105
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.130 1580
20.0 0.170 2060
30.0 0.255 3090
40.0 0.341 4120
50.0 0.426 5150
60.0 0.511 6180
70.0 0.596 7210
80.0 0.681 8240
90.0 0.766 9270
100 0.851 1.03 × 104
200 1.70 2.06 × 104
300 2.55 3.09 × 104
400 3.41 4.12 × 104
500 4.26 5.15 × 104
600 5.11 6.18 × 104
700 5.96 7.21 × 104
800 6.81 8.24 × 104
822 7.00 8.47 × 104
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.412 2800
20.0 0.538 3660
30.0 0.807 5490
40.0 1.08 7320
50.0 1.35 9160
60.0 1.61 1.10 × 104
70.0 1.88 1.28 × 104
80.0 2.15 1.46 × 104
90.0 2.42 1.65 × 104
100 2.69 1.83 × 104
200 5.38 3.66 × 104
260 7.00 4.76 × 104
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 1.01 4380
20.0 1.31 5720
30.0 1.97 8580
40.0 2.63 1.14 × 104
50.0 3.29 1.43 × 104
60.0 3.94 1.72 × 104
70.0 4.60 2.00 × 104
80.0 5.26 2.29 × 104
90.0 5.91 2.57 × 104
100 6.57 2.86 × 104
107 7.00 3.05 × 104
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 2.08 6300
20.0 2.72 8240
30.0 4.09 1.24 × 104
40.0 5.45 1.65 × 104
50.0 6.81 2.06 × 104
51.4 7.00 2.12 × 104
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 3.86 8580
20.0 5.05 1.12 × 104
27.7 7.00 1.56 × 104
Steel I Beam: S7 × 15.3 (S7 inch tall × 15.3 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 6.59 1.12 × 104
16.3 7.00 1.19 × 104
Additional Information
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STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more publications