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S Section Steel I Beam: S5 × 10
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third 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 2.54 × 10-5 22.0
20.0 5.08 × 10-5 43.9
30.0 7.62 × 10-5 65.9
40.0 1.02 × 10-4 87.8
50.0 1.27 × 10-4 110
60.0 1.52 × 10-4 132
70.0 1.78 × 10-4 154
80.0 2.03 × 10-4 176
90.0 2.29 × 10-4 198
100 2.54 × 10-4 220
200 5.08 × 10-4 439
300 7.62 × 10-4 659
400 0.00102 878
500 0.00127 1100
600 0.00152 1320
700 0.00178 1540
800 0.00203 1760
900 0.00229 1980
1000 0.00254 2200
2000 0.00508 4390
3000 0.00762 6590
4000 0.0102 8780
5000 0.0127 1.10 × 104
6000 0.0152 1.32 × 104
7000 0.0178 1.54 × 104
8000 0.0203 1.76 × 104
9000 0.0229 1.98 × 104
1.00 × 104 0.0254 2.20 × 104
2.00 × 104 0.0508 4.39 × 104
3.00 × 104 0.0762 6.59 × 104
4.00 × 104 0.102 8.78 × 104
5.00 × 104 0.127 1.10 × 105
6.00 × 104 0.152 1.32 × 105
7.00 × 104 0.178 1.54 × 105
8.00 × 104 0.203 1.76 × 105
9.00 × 104 0.229 1.98 × 105
1.00 × 105 0.254 2.20 × 105
1.35 × 105 0.344 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 1.96 × 10-4 61.0
20.0 3.92 × 10-4 122
30.0 5.88 × 10-4 183
40.0 7.84 × 10-4 244
50.0 9.80 × 10-4 305
60.0 0.00118 366
70.0 0.00137 427
80.0 0.00157 488
90.0 0.00176 549
100 0.00196 610
200 0.00392 1220
300 0.00588 1830
400 0.00784 2440
500 0.00980 3050
600 0.0118 3660
700 0.0137 4270
800 0.0157 4880
900 0.0176 5490
1000 0.0196 6100
2000 0.0392 1.22 × 104
3000 0.0588 1.83 × 104
4000 0.0784 2.44 × 104
5000 0.0980 3.05 × 104
6000 0.118 3.66 × 104
7000 0.137 4.27 × 104
8000 0.157 4.88 × 104
9000 0.176 5.49 × 104
1.00 × 104 0.196 6.10 × 104
2.00 × 104 0.392 1.22 × 105
3.00 × 104 0.588 1.83 × 105
4.00 × 104 0.784 2.44 × 105
4.87 × 104 0.955 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 0.00314 244
20.0 0.00627 488
30.0 0.00941 732
40.0 0.0125 976
50.0 0.0157 1220
60.0 0.0188 1460
70.0 0.0220 1710
80.0 0.0251 1950
90.0 0.0282 2200
100 0.0314 2440
200 0.0627 4880
300 0.0941 7320
400 0.125 9760
500 0.157 1.22 × 104
600 0.188 1.46 × 104
700 0.220 1.71 × 104
800 0.251 1.95 × 104
900 0.282 2.20 × 104
1000 0.314 2.44 × 104
2000 0.627 4.88 × 104
3000 0.941 7.32 × 104
4000 1.25 9.76 × 104
5000 1.57 1.22 × 105
6000 1.88 1.46 × 105
7000 2.20 1.71 × 105
8000 2.51 1.95 × 105
9000 2.82 2.20 × 105
1.00 × 104 3.14 2.44 × 105
1.22 × 104 3.82 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 0.0159 549
20.0 0.0318 1100
30.0 0.0476 1650
40.0 0.0635 2200
50.0 0.0794 2740
60.0 0.0953 3290
70.0 0.111 3840
80.0 0.127 4390
90.0 0.143 4940
100 0.159 5490
200 0.318 1.10 × 104
300 0.476 1.65 × 104
400 0.635 2.20 × 104
500 0.794 2.74 × 104
600 0.953 3.29 × 104
700 1.11 3.84 × 104
800 1.27 4.39 × 104
900 1.43 4.94 × 104
1000 1.59 5.49 × 104
2000 3.18 1.10 × 105
3000 4.76 1.65 × 105
3150 5.00 1.73 × 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 0.0502 976
20.0 0.100 1950
30.0 0.151 2930
40.0 0.201 3900
50.0 0.251 4880
60.0 0.301 5850
70.0 0.351 6830
80.0 0.401 7800
90.0 0.452 8780
100 0.502 9760
200 1.00 1.95 × 104
300 1.51 2.93 × 104
400 2.01 3.90 × 104
500 2.51 4.88 × 104
600 3.01 5.85 × 104
700 3.51 6.83 × 104
800 4.01 7.80 × 104
900 4.52 8.78 × 104
996 5.00 9.72 × 104
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 0.123 1520
20.0 0.245 3050
30.0 0.368 4570
40.0 0.490 6100
50.0 0.613 7620
60.0 0.735 9150
70.0 0.858 1.07 × 104
80.0 0.980 1.22 × 104
90.0 1.10 1.37 × 104
100 1.23 1.52 × 104
200 2.45 3.05 × 104
300 3.68 4.57 × 104
400 4.90 6.10 × 104
408 5.00 6.22 × 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 0.254 2200
20.0 0.508 4390
30.0 0.762 6590
40.0 1.02 8780
50.0 1.27 1.10 × 104
60.0 1.52 1.32 × 104
70.0 1.78 1.54 × 104
80.0 2.03 1.76 × 104
90.0 2.29 1.98 × 104
100 2.54 2.20 × 104
197 5.00 4.32 × 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 0.803 3900
20.0 1.61 7800
30.0 2.41 1.17 × 104
40.0 3.21 1.56 × 104
50.0 4.01 1.95 × 104
60.0 4.82 2.34 × 104
62.3 5.00 2.43 × 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 1.96 6100
20.0 3.92 1.22 × 104
25.5 5.00 1.56 × 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 4.06 8780
12.3 5.00 1.08 × 104
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