engineering fundamentals
S Section Steel I Beam: S8 × 18.4
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S8 × 18.4
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 = 57.6 in4) for the S8 × 18.4 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
L = 90 ft
   
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 9.25 × 10-6 14.8
20.0 1.01 × 10-5 16.1
30.0 1.51 × 10-5 24.1
40.0 2.01 × 10-5 32.1
50.0 2.51 × 10-5 40.2
60.0 3.02 × 10-5 48.2
70.0 3.52 × 10-5 56.2
80.0 4.02 × 10-5 64.3
90.0 4.52 × 10-5 72.3
100 5.03 × 10-5 80.3
200 1.01 × 10-4 161
300 1.51 × 10-4 241
400 2.01 × 10-4 321
500 2.51 × 10-4 402
600 3.02 × 10-4 482
700 3.52 × 10-4 562
800 4.02 × 10-4 643
900 4.52 × 10-4 723
1000 5.03 × 10-4 803
2000 0.00101 1610
3000 0.00151 2410
4000 0.00201 3210
5000 0.00251 4020
6000 0.00302 4820
7000 0.00352 5620
8000 0.00402 6430
9000 0.00452 7230
1.00 × 104 0.00503 8030
2.00 × 104 0.0101 1.61 × 104
3.00 × 104 0.0151 2.41 × 104
4.00 × 104 0.0201 3.21 × 104
5.00 × 104 0.0251 4.02 × 104
6.00 × 104 0.0302 4.82 × 104
7.00 × 104 0.0352 5.62 × 104
8.00 × 104 0.0402 6.43 × 104
9.00 × 104 0.0452 7.23 × 104
1.00 × 105 0.0503 8.03 × 104
2.00 × 105 0.101 1.61 × 105
3.00 × 105 0.151 2.41 × 105
3.70 × 105 0.186 2.97 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 7.14 × 10-5 41.1
20.0 7.76 × 10-5 44.6
30.0 1.16 × 10-4 66.9
40.0 1.55 × 10-4 89.3
50.0 1.94 × 10-4 112
60.0 2.33 × 10-4 134
70.0 2.71 × 10-4 156
80.0 3.10 × 10-4 179
90.0 3.49 × 10-4 201
100 3.88 × 10-4 223
200 7.76 × 10-4 446
300 0.00116 669
400 0.00155 893
500 0.00194 1120
600 0.00233 1340
700 0.00271 1560
800 0.00310 1790
900 0.00349 2010
1000 0.00388 2230
2000 0.00776 4460
3000 0.0116 6690
4000 0.0155 8920
5000 0.0194 1.12 × 104
6000 0.0233 1.34 × 104
7000 0.0271 1.56 × 104
8000 0.0310 1.78 × 104
9000 0.0349 2.01 × 104
1.00 × 104 0.0388 2.23 × 104
2.00 × 104 0.0776 4.46 × 104
3.00 × 104 0.116 6.69 × 104
4.00 × 104 0.155 8.93 × 104
5.00 × 104 0.194 1.12 × 105
6.00 × 104 0.233 1.34 × 105
7.00 × 104 0.271 1.56 × 105
8.00 × 104 0.310 1.79 × 105
9.00 × 104 0.349 2.01 × 105
1.00 × 105 0.388 2.23 × 105
1.33 × 105 0.516 2.97 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.00114 164
20.0 0.00124 179
30.0 0.00186 268
40.0 0.00248 357
50.0 0.00310 446
60.0 0.00372 536
70.0 0.00434 625
80.0 0.00496 714
90.0 0.00558 803
100 0.00621 893
200 0.0124 1790
300 0.0186 2680
400 0.0248 3570
500 0.0310 4460
600 0.0372 5360
700 0.0434 6250
800 0.0496 7140
900 0.0558 8030
1000 0.0621 8920
2000 0.124 1.78 × 104
3000 0.186 2.68 × 104
4000 0.248 3.57 × 104
5000 0.310 4.46 × 104
6000 0.372 5.36 × 104
7000 0.434 6.25 × 104
8000 0.496 7.14 × 104
9000 0.558 8.03 × 104
1.00 × 104 0.621 8.93 × 104
2.00 × 104 1.24 1.79 × 105
3.00 × 104 1.86 2.68 × 105
3.33 × 104 2.07 2.97 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.00578 369
20.0 0.00628 402
30.0 0.00942 602
40.0 0.0126 803
50.0 0.0157 1000
60.0 0.0188 1200
70.0 0.0220 1410
80.0 0.0251 1610
90.0 0.0283 1810
100 0.0314 2010
200 0.0628 4020
300 0.0942 6020
400 0.126 8030
500 0.157 1.00 × 104
600 0.188 1.20 × 104
700 0.220 1.41 × 104
800 0.251 1.61 × 104
900 0.283 1.81 × 104
1000 0.314 2.01 × 104
2000 0.628 4.02 × 104
3000 0.942 6.02 × 104
4000 1.26 8.03 × 104
5000 1.57 1.00 × 105
6000 1.88 1.20 × 105
7000 2.20 1.41 × 105
8000 2.51 1.61 × 105
9000 2.83 1.81 × 105
1.00 × 104 3.14 2.01 × 105
1.48 × 104 4.65 2.97 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.0183 657
20.0 0.0199 714
30.0 0.0298 1070
40.0 0.0397 1430
50.0 0.0496 1790
60.0 0.0596 2140
70.0 0.0695 2500
80.0 0.0794 2860
90.0 0.0894 3210
100 0.0993 3570
200 0.199 7140
300 0.298 1.07 × 104
400 0.397 1.43 × 104
500 0.496 1.78 × 104
600 0.596 2.14 × 104
700 0.695 2.50 × 104
800 0.794 2.86 × 104
900 0.894 3.21 × 104
1000 0.993 3.57 × 104
2000 1.99 7.14 × 104
3000 2.98 1.07 × 105
4000 3.97 1.43 × 105
5000 4.96 1.79 × 105
6000 5.96 2.14 × 105
7000 6.95 2.50 × 105
8000 7.94 2.86 × 105
8320 8.26 2.97 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.0446 1030
20.0 0.0485 1120
30.0 0.0727 1670
40.0 0.0970 2230
50.0 0.121 2790
60.0 0.145 3350
70.0 0.170 3900
80.0 0.194 4460
90.0 0.218 5020
100 0.242 5580
200 0.485 1.12 × 104
300 0.727 1.67 × 104
400 0.970 2.23 × 104
500 1.21 2.79 × 104
600 1.45 3.35 × 104
700 1.70 3.90 × 104
800 1.94 4.46 × 104
900 2.18 5.02 × 104
1000 2.42 5.58 × 104
2000 4.85 1.12 × 105
3000 7.27 1.67 × 105
3300 8.00 1.84 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.0925 1480
20.0 0.101 1610
30.0 0.151 2410
40.0 0.201 3210
50.0 0.251 4020
60.0 0.302 4820
70.0 0.352 5620
80.0 0.402 6430
90.0 0.452 7230
100 0.503 8030
200 1.01 1.61 × 104
300 1.51 2.41 × 104
400 2.01 3.21 × 104
500 2.51 4.02 × 104
600 3.02 4.82 × 104
700 3.52 5.62 × 104
800 4.02 6.43 × 104
900 4.52 7.23 × 104
1000 5.03 8.03 × 104
1590 8.00 1.28 × 105
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.292 2630
20.0 0.318 2860
30.0 0.477 4280
40.0 0.635 5710
50.0 0.794 7140
60.0 0.953 8570
70.0 1.11 10000
80.0 1.27 1.14 × 104
90.0 1.43 1.29 × 104
100 1.59 1.43 × 104
200 3.18 2.86 × 104
300 4.77 4.28 × 104
400 6.35 5.71 × 104
500 7.94 7.14 × 104
504 8.00 7.19 × 104
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 0.714 4110
20.0 0.776 4460
30.0 1.16 6690
40.0 1.55 8930
50.0 1.94 1.12 × 104
60.0 2.33 1.34 × 104
70.0 2.71 1.56 × 104
80.0 3.10 1.79 × 104
90.0 3.49 2.01 × 104
100 3.88 2.23 × 104
200 7.76 4.46 × 104
206 8.00 4.60 × 104
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 1.48 5910
20.0 1.61 6430
30.0 2.41 9640
40.0 3.22 1.29 × 104
50.0 4.02 1.61 × 104
60.0 4.83 1.93 × 104
70.0 5.63 2.25 × 104
80.0 6.43 2.57 × 104
90.0 7.24 2.89 × 104
99.5 8.00 3.20 × 104
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 2.74 8050
20.0 2.98 8750
30.0 4.47 1.31 × 104
40.0 5.96 1.75 × 104
50.0 7.45 2.19 × 104
53.7 8.00 2.35 × 104
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 4.68 1.05 × 104
20.0 5.08 1.14 × 104
30.0 7.63 1.71 × 104
31.5 8.00 1.80 × 104
Steel I Beam: S8 × 18.4 (S8 inch tall × 18.4 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
18.4 7.49 1.33 × 104
19.6 8.00 1.42 × 104
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