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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth 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 1.21 × 10-5 16.9
20.0 1.58 × 10-5 22.1
30.0 2.37 × 10-5 33.1
40.0 3.16 × 10-5 44.1
50.0 3.94 × 10-5 55.2
60.0 4.73 × 10-5 66.2
70.0 5.52 × 10-5 77.2
80.0 6.31 × 10-5 88.2
90.0 7.10 × 10-5 99.3
100 7.89 × 10-5 110
200 1.58 × 10-4 221
300 2.37 × 10-4 331
400 3.16 × 10-4 441
500 3.94 × 10-4 552
600 4.73 × 10-4 662
700 5.52 × 10-4 772
800 6.31 × 10-4 882
900 7.10 × 10-4 993
1000 7.89 × 10-4 1100
2000 0.00158 2210
3000 0.00237 3310
4000 0.00316 4410
5000 0.00394 5520
6000 0.00473 6620
7000 0.00552 7720
8000 0.00631 8820
9000 0.00710 9930
1.00 × 104 0.00789 1.10 × 104
2.00 × 104 0.0158 2.21 × 104
3.00 × 104 0.0237 3.31 × 104
4.00 × 104 0.0316 4.41 × 104
5.00 × 104 0.0394 5.52 × 104
6.00 × 104 0.0473 6.62 × 104
7.00 × 104 0.0552 7.72 × 104
8.00 × 104 0.0631 8.82 × 104
9.00 × 104 0.0710 9.93 × 104
1.00 × 105 0.0789 1.10 × 105
2.00 × 105 0.158 2.21 × 105
2.69 × 105 0.212 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 9.31 × 10-5 46.9
20.0 1.22 × 10-4 61.3
30.0 1.83 × 10-4 91.9
40.0 2.43 × 10-4 123
50.0 3.04 × 10-4 153
60.0 3.65 × 10-4 184
70.0 4.26 × 10-4 214
80.0 4.87 × 10-4 245
90.0 5.48 × 10-4 276
100 6.09 × 10-4 306
200 0.00122 613
300 0.00183 919
400 0.00243 1230
500 0.00304 1530
600 0.00365 1840
700 0.00426 2140
800 0.00487 2450
900 0.00548 2760
1000 0.00609 3060
2000 0.0122 6130
3000 0.0183 9190
4000 0.0243 1.23 × 104
5000 0.0304 1.53 × 104
6000 0.0365 1.84 × 104
7000 0.0426 2.14 × 104
8000 0.0487 2.45 × 104
9000 0.0548 2.76 × 104
1.00 × 104 0.0609 3.06 × 104
2.00 × 104 0.122 6.13 × 104
3.00 × 104 0.183 9.19 × 104
4.00 × 104 0.243 1.23 × 105
5.00 × 104 0.304 1.53 × 105
6.00 × 104 0.365 1.84 × 105
7.00 × 104 0.426 2.14 × 105
8.00 × 104 0.487 2.45 × 105
9.00 × 104 0.548 2.76 × 105
9.69 × 104 0.590 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 0.00149 188
20.0 0.00195 245
30.0 0.00292 368
40.0 0.00390 490
50.0 0.00487 613
60.0 0.00584 735
70.0 0.00682 858
80.0 0.00779 981
90.0 0.00877 1100
100 0.00974 1230
200 0.0195 2450
300 0.0292 3680
400 0.0390 4900
500 0.0487 6130
600 0.0584 7350
700 0.0682 8580
800 0.0779 9810
900 0.0877 1.10 × 104
1000 0.0974 1.23 × 104
2000 0.195 2.45 × 104
3000 0.292 3.68 × 104
4000 0.390 4.90 × 104
5000 0.487 6.13 × 104
6000 0.584 7.35 × 104
7000 0.682 8.58 × 104
8000 0.779 9.81 × 104
9000 0.877 1.10 × 105
1.00 × 104 0.974 1.23 × 105
2.00 × 104 1.95 2.45 × 105
2.42 × 104 2.36 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 0.00754 422
20.0 0.00986 552
30.0 0.0148 827
40.0 0.0197 1100
50.0 0.0247 1380
60.0 0.0296 1650
70.0 0.0345 1930
80.0 0.0394 2210
90.0 0.0444 2480
100 0.0493 2760
200 0.0986 5520
300 0.148 8270
400 0.197 1.10 × 104
500 0.247 1.38 × 104
600 0.296 1.65 × 104
700 0.345 1.93 × 104
800 0.394 2.21 × 104
900 0.444 2.48 × 104
1000 0.493 2.76 × 104
2000 0.986 5.52 × 104
3000 1.48 8.27 × 104
4000 1.97 1.10 × 105
5000 2.47 1.38 × 105
6000 2.96 1.65 × 105
7000 3.45 1.93 × 105
8000 3.94 2.21 × 105
9000 4.44 2.48 × 105
1.00 × 104 4.93 2.76 × 105
1.08 × 104 5.31 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 0.0238 750
20.0 0.0312 981
30.0 0.0467 1470
40.0 0.0623 1960
50.0 0.0779 2450
60.0 0.0935 2940
70.0 0.109 3430
80.0 0.125 3920
90.0 0.140 4410
100 0.156 4900
200 0.312 9810
300 0.467 1.47 × 104
400 0.623 1.96 × 104
500 0.779 2.45 × 104
600 0.935 2.94 × 104
700 1.09 3.43 × 104
800 1.25 3.92 × 104
900 1.40 4.41 × 104
1000 1.56 4.90 × 104
2000 3.12 9.81 × 104
3000 4.67 1.47 × 105
4000 6.23 1.96 × 105
4490 7.00 2.20 × 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 0.0582 1170
20.0 0.0761 1530
30.0 0.114 2300
40.0 0.152 3060
50.0 0.190 3830
60.0 0.228 4600
70.0 0.266 5360
80.0 0.304 6130
90.0 0.342 6890
100 0.380 7660
200 0.761 1.53 × 104
300 1.14 2.30 × 104
400 1.52 3.06 × 104
500 1.90 3.83 × 104
600 2.28 4.60 × 104
700 2.66 5.36 × 104
800 3.04 6.13 × 104
900 3.42 6.89 × 104
1000 3.80 7.66 × 104
1840 7.00 1.41 × 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 0.121 1690
20.0 0.158 2210
30.0 0.237 3310
40.0 0.316 4410
50.0 0.394 5520
60.0 0.473 6620
70.0 0.552 7720
80.0 0.631 8820
90.0 0.710 9930
100 0.789 1.10 × 104
200 1.58 2.21 × 104
300 2.37 3.31 × 104
400 3.16 4.41 × 104
500 3.94 5.52 × 104
600 4.73 6.62 × 104
700 5.52 7.72 × 104
800 6.31 8.82 × 104
887 7.00 9.79 × 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 0.381 3000
20.0 0.499 3920
30.0 0.748 5880
40.0 0.997 7840
50.0 1.25 9810
60.0 1.50 1.18 × 104
70.0 1.75 1.37 × 104
80.0 1.99 1.57 × 104
90.0 2.24 1.76 × 104
100 2.49 1.96 × 104
200 4.99 3.92 × 104
281 7.00 5.51 × 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 0.931 4690
20.0 1.22 6130
30.0 1.83 9190
40.0 2.43 1.23 × 104
50.0 3.04 1.53 × 104
60.0 3.65 1.84 × 104
70.0 4.26 2.14 × 104
80.0 4.87 2.45 × 104
90.0 5.48 2.76 × 104
100 6.09 3.06 × 104
115 7.00 3.52 × 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 1.93 6750
20.0 2.52 8820
30.0 3.79 1.32 × 104
40.0 5.05 1.76 × 104
50.0 6.31 2.21 × 104
55.5 7.00 2.45 × 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 3.58 9190
20.0 4.68 1.20 × 104
29.9 7.00 1.80 × 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 6.10 1.20 × 104
17.5 7.00 1.38 × 104
Additional Information
Related Pages
FREE Publications
STEM Career Outlook

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

3D Scanners

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

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

more publications