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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 9.98 × 10-6 19.7
20.0 1.30 × 10-5 25.7
30.0 1.96 × 10-5 38.6
40.0 2.61 × 10-5 51.5
50.0 3.26 × 10-5 64.4
60.0 3.91 × 10-5 77.2
70.0 4.57 × 10-5 90.1
80.0 5.22 × 10-5 103
90.0 5.87 × 10-5 116
100 6.52 × 10-5 129
200 1.30 × 10-4 257
300 1.96 × 10-4 386
400 2.61 × 10-4 515
500 3.26 × 10-4 644
600 3.91 × 10-4 772
700 4.57 × 10-4 901
800 5.22 × 10-4 1030
900 5.87 × 10-4 1160
1000 6.52 × 10-4 1290
2000 0.00130 2570
3000 0.00196 3860
4000 0.00261 5150
5000 0.00326 6440
6000 0.00391 7720
7000 0.00457 9010
8000 0.00522 1.03 × 104
9000 0.00587 1.16 × 104
1.00 × 104 0.00652 1.29 × 104
2.00 × 104 0.0130 2.57 × 104
3.00 × 104 0.0196 3.86 × 104
4.00 × 104 0.0261 5.15 × 104
5.00 × 104 0.0326 6.44 × 104
6.00 × 104 0.0391 7.72 × 104
7.00 × 104 0.0457 9.01 × 104
8.00 × 104 0.0522 1.03 × 105
9.00 × 104 0.0587 1.16 × 105
1.00 × 105 0.0652 1.29 × 105
2.00 × 105 0.130 2.57 × 105
2.31 × 105 0.150 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 7.70 × 10-5 54.7
20.0 1.01 × 10-4 71.5
30.0 1.51 × 10-4 107
40.0 2.01 × 10-4 143
50.0 2.52 × 10-4 179
60.0 3.02 × 10-4 215
70.0 3.52 × 10-4 250
80.0 4.03 × 10-4 286
90.0 4.53 × 10-4 322
100 5.03 × 10-4 358
200 0.00101 715
300 0.00151 1070
400 0.00201 1430
500 0.00252 1790
600 0.00302 2150
700 0.00352 2500
800 0.00403 2860
900 0.00453 3220
1000 0.00503 3580
2000 0.0101 7150
3000 0.0151 1.07 × 104
4000 0.0201 1.43 × 104
5000 0.0252 1.79 × 104
6000 0.0302 2.15 × 104
7000 0.0352 2.50 × 104
8000 0.0403 2.86 × 104
9000 0.0453 3.22 × 104
1.00 × 104 0.0503 3.58 × 104
2.00 × 104 0.101 7.15 × 104
3.00 × 104 0.151 1.07 × 105
4.00 × 104 0.201 1.43 × 105
5.00 × 104 0.252 1.79 × 105
6.00 × 104 0.302 2.15 × 105
7.00 × 104 0.352 2.50 × 105
8.00 × 104 0.403 2.86 × 105
8.31 × 104 0.418 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 0.00123 219
20.0 0.00161 286
30.0 0.00242 429
40.0 0.00322 572
50.0 0.00403 715
60.0 0.00483 858
70.0 0.00564 1000
80.0 0.00644 1140
90.0 0.00725 1290
100 0.00805 1430
200 0.0161 2860
300 0.0242 4290
400 0.0322 5720
500 0.0403 7150
600 0.0483 8580
700 0.0564 1.00 × 104
800 0.0644 1.14 × 104
900 0.0725 1.29 × 104
1000 0.0805 1.43 × 104
2000 0.161 2.86 × 104
3000 0.242 4.29 × 104
4000 0.322 5.72 × 104
5000 0.403 7.15 × 104
6000 0.483 8.58 × 104
7000 0.564 1.00 × 105
8000 0.644 1.14 × 105
9000 0.725 1.29 × 105
1.00 × 104 0.805 1.43 × 105
2.00 × 104 1.61 2.86 × 105
2.08 × 104 1.67 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 0.00624 492
20.0 0.00815 644
30.0 0.0122 966
40.0 0.0163 1290
50.0 0.0204 1610
60.0 0.0245 1930
70.0 0.0285 2250
80.0 0.0326 2570
90.0 0.0367 2900
100 0.0408 3220
200 0.0815 6440
300 0.122 9660
400 0.163 1.29 × 104
500 0.204 1.61 × 104
600 0.245 1.93 × 104
700 0.285 2.25 × 104
800 0.326 2.57 × 104
900 0.367 2.90 × 104
1000 0.408 3.22 × 104
2000 0.815 6.44 × 104
3000 1.22 9.66 × 104
4000 1.63 1.29 × 105
5000 2.04 1.61 × 105
6000 2.45 1.93 × 105
7000 2.85 2.25 × 105
8000 3.26 2.57 × 105
9000 3.67 2.90 × 105
9230 3.76 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 0.0197 875
20.0 0.0258 1140
30.0 0.0386 1720
40.0 0.0515 2290
50.0 0.0644 2860
60.0 0.0773 3430
70.0 0.0902 4010
80.0 0.103 4580
90.0 0.116 5150
100 0.129 5720
200 0.258 1.14 × 104
300 0.386 1.72 × 104
400 0.515 2.29 × 104
500 0.644 2.86 × 104
600 0.773 3.43 × 104
700 0.902 4.01 × 104
800 1.03 4.58 × 104
900 1.16 5.15 × 104
1000 1.29 5.72 × 104
2000 2.58 1.14 × 105
3000 3.86 1.72 × 105
4000 5.15 2.29 × 105
5000 6.44 2.86 × 105
5190 6.69 2.97 × 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 0.0481 1370
20.0 0.0629 1790
30.0 0.0944 2680
40.0 0.126 3580
50.0 0.157 4470
60.0 0.189 5360
70.0 0.220 6260
80.0 0.252 7150
90.0 0.283 8050
100 0.315 8940
200 0.629 1.79 × 104
300 0.944 2.68 × 104
400 1.26 3.58 × 104
500 1.57 4.47 × 104
600 1.89 5.36 × 104
700 2.20 6.26 × 104
800 2.52 7.15 × 104
900 2.83 8.05 × 104
1000 3.15 8.94 × 104
2000 6.29 1.79 × 105
2230 7.00 1.99 × 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 0.0998 1970
20.0 0.130 2570
30.0 0.196 3860
40.0 0.261 5150
50.0 0.326 6440
60.0 0.391 7720
70.0 0.457 9010
80.0 0.522 1.03 × 104
90.0 0.587 1.16 × 104
100 0.652 1.29 × 104
200 1.30 2.57 × 104
300 1.96 3.86 × 104
400 2.61 5.15 × 104
500 3.26 6.44 × 104
600 3.91 7.72 × 104
700 4.57 9.01 × 104
800 5.22 1.03 × 105
900 5.87 1.16 × 105
1000 6.52 1.29 × 105
1070 7.00 1.38 × 105
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 0.315 3500
20.0 0.412 4580
30.0 0.618 6870
40.0 0.824 9160
50.0 1.03 1.14 × 104
60.0 1.24 1.37 × 104
70.0 1.44 1.60 × 104
80.0 1.65 1.83 × 104
90.0 1.86 2.06 × 104
100 2.06 2.29 × 104
200 4.12 4.58 × 104
300 6.18 6.87 × 104
340 7.00 7.77 × 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 0.770 5470
20.0 1.01 7150
30.0 1.51 1.07 × 104
40.0 2.01 1.43 × 104
50.0 2.52 1.79 × 104
60.0 3.02 2.15 × 104
70.0 3.52 2.50 × 104
80.0 4.03 2.86 × 104
90.0 4.53 3.22 × 104
100 5.03 3.58 × 104
139 7.00 4.97 × 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 1.60 7880
20.0 2.09 1.03 × 104
30.0 3.13 1.54 × 104
40.0 4.17 2.06 × 104
50.0 5.22 2.57 × 104
60.0 6.26 3.09 × 104
67.1 7.00 3.45 × 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 2.96 1.07 × 104
20.0 3.87 1.40 × 104
30.0 5.80 2.10 × 104
36.2 7.00 2.54 × 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 5.05 1.40 × 104
20.0 6.60 1.83 × 104
21.2 7.00 1.94 × 104
Additional Information
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Mechanical Engineers Outlook

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

3D Scanners

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

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.

more publications