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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 2.49 × 10-5 19.7
20.0 3.26 × 10-5 25.7
30.0 4.89 × 10-5 38.6
40.0 6.52 × 10-5 51.5
50.0 8.15 × 10-5 64.4
60.0 9.78 × 10-5 77.2
70.0 1.14 × 10-4 90.1
80.0 1.30 × 10-4 103
90.0 1.47 × 10-4 116
100 1.63 × 10-4 129
200 3.26 × 10-4 257
300 4.89 × 10-4 386
400 6.52 × 10-4 515
500 8.15 × 10-4 644
600 9.78 × 10-4 772
700 0.00114 901
800 0.00130 1030
900 0.00147 1160
1000 0.00163 1290
2000 0.00326 2570
3000 0.00489 3860
4000 0.00652 5150
5000 0.00815 6440
6000 0.00978 7720
7000 0.0114 9010
8000 0.0130 1.03 × 104
9000 0.0147 1.16 × 104
1.00 × 104 0.0163 1.29 × 104
2.00 × 104 0.0326 2.57 × 104
3.00 × 104 0.0489 3.86 × 104
4.00 × 104 0.0652 5.15 × 104
5.00 × 104 0.0815 6.44 × 104
6.00 × 104 0.0978 7.72 × 104
7.00 × 104 0.114 9.01 × 104
8.00 × 104 0.130 1.03 × 105
9.00 × 104 0.147 1.16 × 105
1.00 × 105 0.163 1.29 × 105
2.00 × 105 0.326 2.57 × 105
2.31 × 105 0.376 2.97 × 105
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 1.92 × 10-4 54.7
20.0 2.52 × 10-4 71.5
30.0 3.77 × 10-4 107
40.0 5.03 × 10-4 143
50.0 6.29 × 10-4 179
60.0 7.55 × 10-4 215
70.0 8.81 × 10-4 250
80.0 0.00101 286
90.0 0.00113 322
100 0.00126 358
200 0.00252 715
300 0.00377 1070
400 0.00503 1430
500 0.00629 1790
600 0.00755 2150
700 0.00881 2500
800 0.0101 2860
900 0.0113 3220
1000 0.0126 3580
2000 0.0252 7150
3000 0.0377 1.07 × 104
4000 0.0503 1.43 × 104
5000 0.0629 1.79 × 104
6000 0.0755 2.15 × 104
7000 0.0881 2.50 × 104
8000 0.101 2.86 × 104
9000 0.113 3.22 × 104
1.00 × 104 0.126 3.58 × 104
2.00 × 104 0.252 7.15 × 104
3.00 × 104 0.377 1.07 × 105
4.00 × 104 0.503 1.43 × 105
5.00 × 104 0.629 1.79 × 105
6.00 × 104 0.755 2.15 × 105
7.00 × 104 0.881 2.50 × 105
8.00 × 104 1.01 2.86 × 105
8.31 × 104 1.04 2.97 × 105
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.00308 219
20.0 0.00403 286
30.0 0.00604 429
40.0 0.00805 572
50.0 0.0101 715
60.0 0.0121 858
70.0 0.0141 1000
80.0 0.0161 1140
90.0 0.0181 1290
100 0.0201 1430
200 0.0403 2860
300 0.0604 4290
400 0.0805 5720
500 0.101 7150
600 0.121 8580
700 0.141 1.00 × 104
800 0.161 1.14 × 104
900 0.181 1.29 × 104
1000 0.201 1.43 × 104
2000 0.403 2.86 × 104
3000 0.604 4.29 × 104
4000 0.805 5.72 × 104
5000 1.01 7.15 × 104
6000 1.21 8.58 × 104
7000 1.41 1.00 × 105
8000 1.61 1.14 × 105
9000 1.81 1.29 × 105
1.00 × 104 2.01 1.43 × 105
2.00 × 104 4.03 2.86 × 105
2.08 × 104 4.18 2.97 × 105
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.0156 492
20.0 0.0204 644
30.0 0.0306 966
40.0 0.0408 1290
50.0 0.0510 1610
60.0 0.0611 1930
70.0 0.0713 2250
80.0 0.0815 2570
90.0 0.0917 2900
100 0.102 3220
200 0.204 6440
300 0.306 9660
400 0.408 1.29 × 104
500 0.510 1.61 × 104
600 0.611 1.93 × 104
700 0.713 2.25 × 104
800 0.815 2.57 × 104
900 0.917 2.90 × 104
1000 1.02 3.22 × 104
2000 2.04 6.44 × 104
3000 3.06 9.66 × 104
4000 4.08 1.29 × 105
5000 5.10 1.61 × 105
6000 6.11 1.93 × 105
6870 7.00 2.21 × 105
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.0493 875
20.0 0.0644 1140
30.0 0.0966 1720
40.0 0.129 2290
50.0 0.161 2860
60.0 0.193 3430
70.0 0.225 4010
80.0 0.258 4580
90.0 0.290 5150
100 0.322 5720
200 0.644 1.14 × 104
300 0.966 1.72 × 104
400 1.29 2.29 × 104
500 1.61 2.86 × 104
600 1.93 3.43 × 104
700 2.25 4.01 × 104
800 2.58 4.58 × 104
900 2.90 5.15 × 104
1000 3.22 5.72 × 104
2000 6.44 1.14 × 105
2170 7.00 1.24 × 105
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.120 1370
20.0 0.157 1790
30.0 0.236 2680
40.0 0.315 3580
50.0 0.393 4470
60.0 0.472 5360
70.0 0.550 6260
80.0 0.629 7150
90.0 0.708 8050
100 0.786 8940
200 1.57 1.79 × 104
300 2.36 2.68 × 104
400 3.15 3.58 × 104
500 3.93 4.47 × 104
600 4.72 5.36 × 104
700 5.50 6.26 × 104
800 6.29 7.15 × 104
890 7.00 7.96 × 104
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.249 1970
20.0 0.326 2570
30.0 0.489 3860
40.0 0.652 5150
50.0 0.815 6440
60.0 0.978 7720
70.0 1.14 9010
80.0 1.30 1.03 × 104
90.0 1.47 1.16 × 104
100 1.63 1.29 × 104
200 3.26 2.57 × 104
300 4.89 3.86 × 104
400 6.52 5.15 × 104
429 7.00 5.53 × 104
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 0.788 3500
20.0 1.03 4580
30.0 1.55 6870
40.0 2.06 9160
50.0 2.58 1.14 × 104
60.0 3.09 1.37 × 104
70.0 3.61 1.60 × 104
80.0 4.12 1.83 × 104
90.0 4.64 2.06 × 104
100 5.15 2.29 × 104
136 7.00 3.11 × 104
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 1.92 5470
20.0 2.52 7150
30.0 3.77 1.07 × 104
40.0 5.03 1.43 × 104
50.0 6.29 1.79 × 104
55.6 7.00 1.99 × 104
Steel I Beam: S7 × 15.3 (S Section 7 inch tall × 15.3 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.3 3.99 7880
20.0 5.22 1.03 × 104
26.8 7.00 1.38 × 104
Additional Information
Related Pages
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FREE Publications
Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

STEM Career Outlook

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

CNC Machining Design Guide

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

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

more publications