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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S5 × 10
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 = 12.3 in4) for the S5 × 10 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: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 2.35 × 10-5 23.5
20.0 4.71 × 10-5 47.0
30.0 7.06 × 10-5 70.5
40.0 9.42 × 10-5 94.0
50.0 1.18 × 10-4 118
60.0 1.41 × 10-4 141
70.0 1.65 × 10-4 165
80.0 1.88 × 10-4 188
90.0 2.12 × 10-4 212
100 2.35 × 10-4 235
200 4.71 × 10-4 470
300 7.06 × 10-4 705
400 9.42 × 10-4 940
500 0.00118 1180
600 0.00141 1410
700 0.00165 1650
800 0.00188 1880
900 0.00212 2120
1000 0.00235 2350
2000 0.00471 4700
3000 0.00706 7050
4000 0.00942 9400
5000 0.0118 1.18 × 104
6000 0.0141 1.41 × 104
7000 0.0165 1.65 × 104
8000 0.0188 1.88 × 104
9000 0.0212 2.12 × 104
1.00 × 104 0.0235 2.35 × 104
2.00 × 104 0.0471 4.70 × 104
3.00 × 104 0.0706 7.05 × 104
4.00 × 104 0.0942 9.40 × 104
5.00 × 104 0.118 1.18 × 105
6.00 × 104 0.141 1.41 × 105
7.00 × 104 0.165 1.65 × 105
8.00 × 104 0.188 1.88 × 105
9.00 × 104 0.212 2.12 × 105
1.00 × 105 0.235 2.35 × 105
1.26 × 105 0.297 2.97 × 105
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 1.82 × 10-4 65.3
20.0 3.63 × 10-4 131
30.0 5.45 × 10-4 196
40.0 7.26 × 10-4 261
50.0 9.08 × 10-4 327
60.0 0.00109 392
70.0 0.00127 457
80.0 0.00145 522
90.0 0.00163 588
100 0.00182 653
200 0.00363 1310
300 0.00545 1960
400 0.00726 2610
500 0.00908 3270
600 0.0109 3920
700 0.0127 4570
800 0.0145 5220
900 0.0163 5880
1000 0.0182 6530
2000 0.0363 1.31 × 104
3000 0.0545 1.96 × 104
4000 0.0726 2.61 × 104
5000 0.0908 3.27 × 104
6000 0.109 3.92 × 104
7000 0.127 4.57 × 104
8000 0.145 5.22 × 104
9000 0.163 5.88 × 104
1.00 × 104 0.182 6.53 × 104
2.00 × 104 0.363 1.31 × 105
3.00 × 104 0.545 1.96 × 105
4.00 × 104 0.726 2.61 × 105
4.55 × 104 0.826 2.97 × 105
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.00291 261
20.0 0.00581 522
30.0 0.00872 784
40.0 0.0116 1040
50.0 0.0145 1310
60.0 0.0174 1570
70.0 0.0203 1830
80.0 0.0232 2090
90.0 0.0262 2350
100 0.0291 2610
200 0.0581 5220
300 0.0872 7840
400 0.116 1.04 × 104
500 0.145 1.31 × 104
600 0.174 1.57 × 104
700 0.203 1.83 × 104
800 0.232 2.09 × 104
900 0.262 2.35 × 104
1000 0.291 2.61 × 104
2000 0.581 5.22 × 104
3000 0.872 7.84 × 104
4000 1.16 1.04 × 105
5000 1.45 1.31 × 105
6000 1.74 1.57 × 105
7000 2.03 1.83 × 105
8000 2.32 2.09 × 105
9000 2.62 2.35 × 105
1.00 × 104 2.91 2.61 × 105
1.14 × 104 3.30 2.97 × 105
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.0147 588
20.0 0.0294 1180
30.0 0.0441 1760
40.0 0.0588 2350
50.0 0.0736 2940
60.0 0.0883 3530
70.0 0.103 4110
80.0 0.118 4700
90.0 0.132 5290
100 0.147 5880
200 0.294 1.18 × 104
300 0.441 1.76 × 104
400 0.588 2.35 × 104
500 0.736 2.94 × 104
600 0.883 3.53 × 104
700 1.03 4.11 × 104
800 1.18 4.70 × 104
900 1.32 5.29 × 104
1000 1.47 5.88 × 104
2000 2.94 1.18 × 105
3000 4.41 1.76 × 105
3400 5.00 2.00 × 105
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.0465 1040
20.0 0.0930 2090
30.0 0.139 3130
40.0 0.186 4180
50.0 0.232 5220
60.0 0.279 6270
70.0 0.325 7310
80.0 0.372 8360
90.0 0.418 9400
100 0.465 1.04 × 104
200 0.930 2.09 × 104
300 1.39 3.13 × 104
400 1.86 4.18 × 104
500 2.32 5.22 × 104
600 2.79 6.27 × 104
700 3.25 7.31 × 104
800 3.72 8.36 × 104
900 4.18 9.40 × 104
1000 4.65 1.04 × 105
1080 5.00 1.12 × 105
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.114 1630
20.0 0.227 3270
30.0 0.341 4900
40.0 0.454 6530
50.0 0.568 8160
60.0 0.681 9800
70.0 0.795 1.14 × 104
80.0 0.908 1.31 × 104
90.0 1.02 1.47 × 104
100 1.14 1.63 × 104
200 2.27 3.27 × 104
300 3.41 4.90 × 104
400 4.54 6.53 × 104
440 5.00 7.19 × 104
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.235 2350
20.0 0.471 4700
30.0 0.706 7050
40.0 0.942 9400
50.0 1.18 1.18 × 104
60.0 1.41 1.41 × 104
70.0 1.65 1.65 × 104
80.0 1.88 1.88 × 104
90.0 2.12 2.12 × 104
100 2.35 2.35 × 104
200 4.71 4.70 × 104
212 5.00 4.99 × 104
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.744 4180
20.0 1.49 8360
30.0 2.23 1.25 × 104
40.0 2.98 1.67 × 104
50.0 3.72 2.09 × 104
60.0 4.46 2.51 × 104
67.2 5.00 2.81 × 104
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 1.82 6530
20.0 3.63 1.31 × 104
27.5 5.00 1.80 × 104
Steel I Beam: S5 × 10 (S5 inch tall × 10 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 3.77 9400
13.3 5.00 1.25 × 104
Additional Information
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Injection Molding Design Guide

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

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

Mechanical Engineers Outlook

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

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