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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 4.86 × 10-5 27.4
20.0 9.73 × 10-5 54.9
30.0 1.46 × 10-4 82.3
40.0 1.95 × 10-4 110
50.0 2.43 × 10-4 137
60.0 2.92 × 10-4 165
70.0 3.41 × 10-4 192
80.0 3.89 × 10-4 220
90.0 4.38 × 10-4 247
100 4.86 × 10-4 274
200 9.73 × 10-4 549
300 0.00146 823
400 0.00195 1100
500 0.00243 1370
600 0.00292 1650
700 0.00341 1920
800 0.00389 2200
900 0.00438 2470
1000 0.00486 2740
2000 0.00973 5490
3000 0.0146 8230
4000 0.0195 1.10 × 104
5000 0.0243 1.37 × 104
6000 0.0292 1.65 × 104
7000 0.0341 1.92 × 104
8000 0.0389 2.20 × 104
9000 0.0438 2.47 × 104
1.00 × 104 0.0486 2.74 × 104
2.00 × 104 0.0973 5.49 × 104
3.00 × 104 0.146 8.23 × 104
4.00 × 104 0.195 1.10 × 105
5.00 × 104 0.243 1.37 × 105
6.00 × 104 0.292 1.65 × 105
7.00 × 104 0.341 1.92 × 105
8.00 × 104 0.389 2.20 × 105
9.00 × 104 0.438 2.47 × 105
1.00 × 105 0.486 2.74 × 105
1.08 × 105 0.527 2.97 × 105
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 3.75 × 10-4 76.2
20.0 7.51 × 10-4 152
30.0 0.00113 229
40.0 0.00150 305
50.0 0.00188 381
60.0 0.00225 457
70.0 0.00263 534
80.0 0.00300 610
90.0 0.00338 686
100 0.00375 762
200 0.00751 1520
300 0.0113 2290
400 0.0150 3050
500 0.0188 3810
600 0.0225 4570
700 0.0263 5340
800 0.0300 6100
900 0.0338 6860
1000 0.0375 7620
2000 0.0751 1.52 × 104
3000 0.113 2.29 × 104
4000 0.150 3.05 × 104
5000 0.188 3.81 × 104
6000 0.225 4.57 × 104
7000 0.263 5.34 × 104
8000 0.300 6.10 × 104
9000 0.338 6.86 × 104
1.00 × 104 0.375 7.62 × 104
2.00 × 104 0.751 1.52 × 105
3.00 × 104 1.13 2.29 × 105
3.90 × 104 1.46 2.97 × 105
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.00601 305
20.0 0.0120 610
30.0 0.0180 915
40.0 0.0240 1220
50.0 0.0300 1520
60.0 0.0360 1830
70.0 0.0420 2130
80.0 0.0480 2440
90.0 0.0541 2740
100 0.0601 3050
200 0.120 6100
300 0.180 9150
400 0.240 1.22 × 104
500 0.300 1.52 × 104
600 0.360 1.83 × 104
700 0.420 2.13 × 104
800 0.480 2.44 × 104
900 0.541 2.74 × 104
1000 0.601 3.05 × 104
2000 1.20 6.10 × 104
3000 1.80 9.15 × 104
4000 2.40 1.22 × 105
5000 3.00 1.52 × 105
6000 3.60 1.83 × 105
7000 4.20 2.13 × 105
8000 4.80 2.44 × 105
8330 5.00 2.54 × 105
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.0304 686
20.0 0.0608 1370
30.0 0.0912 2060
40.0 0.122 2740
50.0 0.152 3430
60.0 0.182 4120
70.0 0.213 4800
80.0 0.243 5490
90.0 0.274 6170
100 0.304 6860
200 0.608 1.37 × 104
300 0.912 2.06 × 104
400 1.22 2.74 × 104
500 1.52 3.43 × 104
600 1.82 4.12 × 104
700 2.13 4.80 × 104
800 2.43 5.49 × 104
900 2.74 6.17 × 104
1000 3.04 6.86 × 104
1640 5.00 1.13 × 105
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.0961 1220
20.0 0.192 2440
30.0 0.288 3660
40.0 0.384 4880
50.0 0.480 6100
60.0 0.577 7320
70.0 0.673 8540
80.0 0.769 9760
90.0 0.865 1.10 × 104
100 0.961 1.22 × 104
200 1.92 2.44 × 104
300 2.88 3.66 × 104
400 3.84 4.88 × 104
500 4.80 6.10 × 104
520 5.00 6.35 × 104
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.235 1910
20.0 0.469 3810
30.0 0.704 5720
40.0 0.938 7620
50.0 1.17 9530
60.0 1.41 1.14 × 104
70.0 1.64 1.33 × 104
80.0 1.88 1.52 × 104
90.0 2.11 1.71 × 104
100 2.35 1.91 × 104
200 4.69 3.81 × 104
213 5.00 4.06 × 104
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 0.486 2740
20.0 0.973 5490
30.0 1.46 8230
40.0 1.95 1.10 × 104
50.0 2.43 1.37 × 104
60.0 2.92 1.65 × 104
70.0 3.41 1.92 × 104
80.0 3.89 2.20 × 104
90.0 4.38 2.47 × 104
100 4.86 2.74 × 104
103 5.00 2.82 × 104
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 1.54 4880
20.0 3.08 9760
30.0 4.61 1.46 × 104
32.5 5.00 1.59 × 104
Steel I Beam: S5 × 10 (S Section 5 inch tall × 10 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.0 3.75 7620
13.3 5.00 1.02 × 104
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Mechanical Engineers Outlook

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

CNC Machining Design Guide

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

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

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