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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 7.65 × 10-6 17.2
20.0 8.31 × 10-6 18.8
30.0 1.25 × 10-5 28.1
40.0 1.66 × 10-5 37.5
50.0 2.08 × 10-5 46.9
60.0 2.49 × 10-5 56.3
70.0 2.91 × 10-5 65.6
80.0 3.32 × 10-5 75.0
90.0 3.74 × 10-5 84.4
100 4.16 × 10-5 93.8
200 8.31 × 10-5 188
300 1.25 × 10-4 281
400 1.66 × 10-4 375
500 2.08 × 10-4 469
600 2.49 × 10-4 563
700 2.91 × 10-4 656
800 3.32 × 10-4 750
900 3.74 × 10-4 844
1000 4.16 × 10-4 938
2000 8.31 × 10-4 1880
3000 0.00125 2810
4000 0.00166 3750
5000 0.00208 4690
6000 0.00249 5630
7000 0.00291 6560
8000 0.00332 7500
9000 0.00374 8440
1.00 × 104 0.00416 9380
2.00 × 104 0.00831 1.88 × 104
3.00 × 104 0.0125 2.81 × 104
4.00 × 104 0.0166 3.75 × 104
5.00 × 104 0.0208 4.69 × 104
6.00 × 104 0.0249 5.63 × 104
7.00 × 104 0.0291 6.56 × 104
8.00 × 104 0.0332 7.50 × 104
9.00 × 104 0.0374 8.44 × 104
1.00 × 105 0.0416 9.38 × 104
2.00 × 105 0.0831 1.88 × 105
3.00 × 105 0.125 2.81 × 105
3.17 × 105 0.132 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 5.90 × 10-5 47.9
20.0 6.41 × 10-5 52.1
30.0 9.62 × 10-5 78.1
40.0 1.28 × 10-4 104
50.0 1.60 × 10-4 130
60.0 1.92 × 10-4 156
70.0 2.24 × 10-4 182
80.0 2.57 × 10-4 208
90.0 2.89 × 10-4 234
100 3.21 × 10-4 260
200 6.41 × 10-4 521
300 9.62 × 10-4 781
400 0.00128 1040
500 0.00160 1300
600 0.00192 1560
700 0.00224 1820
800 0.00257 2080
900 0.00289 2340
1000 0.00321 2600
2000 0.00641 5210
3000 0.00962 7810
4000 0.0128 1.04 × 104
5000 0.0160 1.30 × 104
6000 0.0192 1.56 × 104
7000 0.0224 1.82 × 104
8000 0.0257 2.08 × 104
9000 0.0289 2.34 × 104
1.00 × 104 0.0321 2.60 × 104
2.00 × 104 0.0641 5.21 × 104
3.00 × 104 0.0962 7.81 × 104
4.00 × 104 0.128 1.04 × 105
5.00 × 104 0.160 1.30 × 105
6.00 × 104 0.192 1.56 × 105
7.00 × 104 0.224 1.82 × 105
8.00 × 104 0.257 2.08 × 105
9.00 × 104 0.289 2.34 × 105
1.00 × 105 0.321 2.60 × 105
1.14 × 105 0.366 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 9.44 × 10-4 192
20.0 0.00103 208
30.0 0.00154 313
40.0 0.00205 417
50.0 0.00257 521
60.0 0.00308 625
70.0 0.00359 729
80.0 0.00410 833
90.0 0.00462 938
100 0.00513 1040
200 0.0103 2080
300 0.0154 3130
400 0.0205 4170
500 0.0257 5210
600 0.0308 6250
700 0.0359 7290
800 0.0410 8330
900 0.0462 9380
1000 0.0513 1.04 × 104
2000 0.103 2.08 × 104
3000 0.154 3.13 × 104
4000 0.205 4.17 × 104
5000 0.257 5.21 × 104
6000 0.308 6.25 × 104
7000 0.359 7.29 × 104
8000 0.410 8.33 × 104
9000 0.462 9.38 × 104
1.00 × 104 0.513 1.04 × 105
2.00 × 104 1.03 2.08 × 105
2.85 × 104 1.46 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 0.00478 431
20.0 0.00519 469
30.0 0.00779 703
40.0 0.0104 938
50.0 0.0130 1170
60.0 0.0156 1410
70.0 0.0182 1640
80.0 0.0208 1880
90.0 0.0234 2110
100 0.0260 2340
200 0.0519 4690
300 0.0779 7030
400 0.104 9380
500 0.130 1.17 × 104
600 0.156 1.41 × 104
700 0.182 1.64 × 104
800 0.208 1.88 × 104
900 0.234 2.11 × 104
1000 0.260 2.34 × 104
2000 0.519 4.69 × 104
3000 0.779 7.03 × 104
4000 1.04 9.38 × 104
5000 1.30 1.17 × 105
6000 1.56 1.41 × 105
7000 1.82 1.64 × 105
8000 2.08 1.88 × 105
9000 2.34 2.11 × 105
1.00 × 104 2.60 2.34 × 105
1.27 × 104 3.29 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 0.0151 767
20.0 0.0164 833
30.0 0.0246 1250
40.0 0.0328 1670
50.0 0.0410 2080
60.0 0.0492 2500
70.0 0.0575 2920
80.0 0.0657 3330
90.0 0.0739 3750
100 0.0821 4170
200 0.164 8330
300 0.246 1.25 × 104
400 0.328 1.67 × 104
500 0.410 2.08 × 104
600 0.492 2.50 × 104
700 0.575 2.92 × 104
800 0.657 3.33 × 104
900 0.739 3.75 × 104
1000 0.821 4.17 × 104
2000 1.64 8.33 × 104
3000 2.46 1.25 × 105
4000 3.28 1.67 × 105
5000 4.10 2.08 × 105
6000 4.92 2.50 × 105
7000 5.75 2.92 × 105
7130 5.85 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 0.0369 1200
20.0 0.0401 1300
30.0 0.0601 1950
40.0 0.0802 2600
50.0 0.100 3260
60.0 0.120 3910
70.0 0.140 4560
80.0 0.160 5210
90.0 0.180 5860
100 0.200 6510
200 0.401 1.30 × 104
300 0.601 1.95 × 104
400 0.802 2.60 × 104
500 1.00 3.26 × 104
600 1.20 3.91 × 104
700 1.40 4.56 × 104
800 1.60 5.21 × 104
900 1.80 5.86 × 104
1000 2.00 6.51 × 104
2000 4.01 1.30 × 105
3000 6.01 1.95 × 105
3990 8.00 2.60 × 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 0.0765 1720
20.0 0.0831 1880
30.0 0.125 2810
40.0 0.166 3750
50.0 0.208 4690
60.0 0.249 5630
70.0 0.291 6560
80.0 0.332 7500
90.0 0.374 8440
100 0.416 9380
200 0.831 1.88 × 104
300 1.25 2.81 × 104
400 1.66 3.75 × 104
500 2.08 4.69 × 104
600 2.49 5.63 × 104
700 2.91 6.56 × 104
800 3.32 7.50 × 104
900 3.74 8.44 × 104
1000 4.16 9.38 × 104
1930 8.00 1.80 × 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 0.242 3070
20.0 0.263 3330
30.0 0.394 5000
40.0 0.525 6670
50.0 0.657 8330
60.0 0.788 1.00 × 104
70.0 0.919 1.17 × 104
80.0 1.05 1.33 × 104
90.0 1.18 1.50 × 104
100 1.31 1.67 × 104
200 2.63 3.33 × 104
300 3.94 5.00 × 104
400 5.25 6.67 × 104
500 6.57 8.33 × 104
600 7.88 1.00 × 105
609 8.00 1.02 × 105
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 0.590 4790
20.0 0.641 5210
30.0 0.962 7810
40.0 1.28 1.04 × 104
50.0 1.60 1.30 × 104
60.0 1.92 1.56 × 104
70.0 2.24 1.82 × 104
80.0 2.57 2.08 × 104
90.0 2.89 2.34 × 104
100 3.21 2.60 × 104
200 6.41 5.21 × 104
250 8.00 6.50 × 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 1.22 6900
20.0 1.33 7500
30.0 1.99 1.13 × 104
40.0 2.66 1.50 × 104
50.0 3.32 1.88 × 104
60.0 3.99 2.25 × 104
70.0 4.65 2.63 × 104
80.0 5.32 3.00 × 104
90.0 5.98 3.38 × 104
100 6.65 3.75 × 104
120 8.00 4.51 × 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 2.27 9390
20.0 2.46 1.02 × 104
30.0 3.70 1.53 × 104
40.0 4.93 2.04 × 104
50.0 6.16 2.55 × 104
60.0 7.39 3.06 × 104
64.9 8.00 3.32 × 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 3.87 1.23 × 104
20.0 4.20 1.33 × 104
30.0 6.30 2.00 × 104
38.1 8.00 2.54 × 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 6.19 1.55 × 104
20.0 6.73 1.69 × 104
23.8 8.00 2.01 × 104
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