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S Section Steel I Beam: S8 × 18.4
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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
  
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 9.98 × 10-6 13.8
20.0 1.09 × 10-5 15.0
30.0 1.63 × 10-5 22.5
40.0 2.17 × 10-5 30.0
50.0 2.71 × 10-5 37.5
60.0 3.26 × 10-5 45.0
70.0 3.80 × 10-5 52.5
80.0 4.34 × 10-5 60.0
90.0 4.88 × 10-5 67.5
100 5.43 × 10-5 75.0
200 1.09 × 10-4 150
300 1.63 × 10-4 225
400 2.17 × 10-4 300
500 2.71 × 10-4 375
600 3.26 × 10-4 450
700 3.80 × 10-4 525
800 4.34 × 10-4 600
900 4.88 × 10-4 675
1000 5.43 × 10-4 750
2000 0.00109 1500
3000 0.00163 2250
4000 0.00217 3000
5000 0.00271 3750
6000 0.00326 4500
7000 0.00380 5250
8000 0.00434 6000
9000 0.00488 6750
1.00 × 104 0.00543 7500
2.00 × 104 0.0109 1.50 × 104
3.00 × 104 0.0163 2.25 × 104
4.00 × 104 0.0217 3.00 × 104
5.00 × 104 0.0271 3.75 × 104
6.00 × 104 0.0326 4.50 × 104
7.00 × 104 0.0380 5.25 × 104
8.00 × 104 0.0434 6.00 × 104
9.00 × 104 0.0488 6.75 × 104
1.00 × 105 0.0543 7.50 × 104
2.00 × 105 0.109 1.50 × 105
3.00 × 105 0.163 2.25 × 105
3.96 × 105 0.215 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 7.70 × 10-5 38.3
20.0 8.37 × 10-5 41.7
30.0 1.26 × 10-4 62.5
40.0 1.67 × 10-4 83.3
50.0 2.09 × 10-4 104
60.0 2.51 × 10-4 125
70.0 2.93 × 10-4 146
80.0 3.35 × 10-4 167
90.0 3.77 × 10-4 188
100 4.19 × 10-4 208
200 8.37 × 10-4 417
300 0.00126 625
400 0.00167 833
500 0.00209 1040
600 0.00251 1250
700 0.00293 1460
800 0.00335 1670
900 0.00377 1880
1000 0.00419 2080
2000 0.00837 4170
3000 0.0126 6250
4000 0.0167 8330
5000 0.0209 1.04 × 104
6000 0.0251 1.25 × 104
7000 0.0293 1.46 × 104
8000 0.0335 1.67 × 104
9000 0.0377 1.88 × 104
1.00 × 104 0.0419 2.08 × 104
2.00 × 104 0.0837 4.17 × 104
3.00 × 104 0.126 6.25 × 104
4.00 × 104 0.167 8.33 × 104
5.00 × 104 0.209 1.04 × 105
6.00 × 104 0.251 1.25 × 105
7.00 × 104 0.293 1.46 × 105
8.00 × 104 0.335 1.67 × 105
9.00 × 104 0.377 1.88 × 105
1.00 × 105 0.419 2.08 × 105
1.43 × 105 0.597 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 0.00123 153
20.0 0.00134 167
30.0 0.00201 250
40.0 0.00268 333
50.0 0.00335 417
60.0 0.00402 500
70.0 0.00469 583
80.0 0.00536 667
90.0 0.00603 750
100 0.00670 833
200 0.0134 1670
300 0.0201 2500
400 0.0268 3330
500 0.0335 4170
600 0.0402 5000
700 0.0469 5830
800 0.0536 6670
900 0.0603 7500
1000 0.0670 8330
2000 0.134 1.67 × 104
3000 0.201 2.50 × 104
4000 0.268 3.33 × 104
5000 0.335 4.17 × 104
6000 0.402 5.00 × 104
7000 0.469 5.83 × 104
8000 0.536 6.67 × 104
9000 0.603 7.50 × 104
1.00 × 104 0.670 8.33 × 104
2.00 × 104 1.34 1.67 × 105
3.00 × 104 2.01 2.50 × 105
3.56 × 104 2.39 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 0.00624 345
20.0 0.00678 375
30.0 0.0102 563
40.0 0.0136 750
50.0 0.0170 938
60.0 0.0203 1130
70.0 0.0237 1310
80.0 0.0271 1500
90.0 0.0305 1690
100 0.0339 1880
200 0.0678 3750
300 0.102 5630
400 0.136 7500
500 0.170 9380
600 0.203 1.13 × 104
700 0.237 1.31 × 104
800 0.271 1.50 × 104
900 0.305 1.69 × 104
1000 0.339 1.88 × 104
2000 0.678 3.75 × 104
3000 1.02 5.63 × 104
4000 1.36 7.50 × 104
5000 1.70 9.38 × 104
6000 2.03 1.13 × 105
7000 2.37 1.31 × 105
8000 2.71 1.50 × 105
9000 3.05 1.69 × 105
1.00 × 104 3.39 1.88 × 105
1.58 × 104 5.37 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 0.0197 613
20.0 0.0214 667
30.0 0.0321 1000
40.0 0.0429 1330
50.0 0.0536 1670
60.0 0.0643 2000
70.0 0.0750 2330
80.0 0.0857 2670
90.0 0.0964 3000
100 0.107 3330
200 0.214 6670
300 0.321 1.00 × 104
400 0.429 1.33 × 104
500 0.536 1.67 × 104
600 0.643 2.00 × 104
700 0.750 2.33 × 104
800 0.857 2.67 × 104
900 0.964 3.00 × 104
1000 1.07 3.33 × 104
2000 2.14 6.67 × 104
3000 3.21 1.00 × 105
4000 4.29 1.33 × 105
5000 5.36 1.67 × 105
6000 6.43 2.00 × 105
7000 7.50 2.33 × 105
7470 8.00 2.49 × 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 0.0481 958
20.0 0.0523 1040
30.0 0.0785 1560
40.0 0.105 2080
50.0 0.131 2600
60.0 0.157 3130
70.0 0.183 3650
80.0 0.209 4170
90.0 0.235 4690
100 0.262 5210
200 0.523 1.04 × 104
300 0.785 1.56 × 104
400 1.05 2.08 × 104
500 1.31 2.60 × 104
600 1.57 3.13 × 104
700 1.83 3.65 × 104
800 2.09 4.17 × 104
900 2.35 4.69 × 104
1000 2.62 5.21 × 104
2000 5.23 1.04 × 105
3000 7.85 1.56 × 105
3060 8.00 1.59 × 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 0.0998 1380
20.0 0.109 1500
30.0 0.163 2250
40.0 0.217 3000
50.0 0.271 3750
60.0 0.326 4500
70.0 0.380 5250
80.0 0.434 6000
90.0 0.488 6750
100 0.543 7500
200 1.09 1.50 × 104
300 1.63 2.25 × 104
400 2.17 3.00 × 104
500 2.71 3.75 × 104
600 3.26 4.50 × 104
700 3.80 5.25 × 104
800 4.34 6.00 × 104
900 4.88 6.75 × 104
1000 5.43 7.50 × 104
1470 8.00 1.11 × 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 0.315 2450
20.0 0.343 2670
30.0 0.514 4000
40.0 0.686 5330
50.0 0.857 6670
60.0 1.03 8000
70.0 1.20 9330
80.0 1.37 1.07 × 104
90.0 1.54 1.20 × 104
100 1.71 1.33 × 104
200 3.43 2.67 × 104
300 5.14 4.00 × 104
400 6.86 5.33 × 104
467 8.00 6.22 × 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 0.770 3830
20.0 0.837 4170
30.0 1.26 6250
40.0 1.67 8330
50.0 2.09 1.04 × 104
60.0 2.51 1.25 × 104
70.0 2.93 1.46 × 104
80.0 3.35 1.67 × 104
90.0 3.77 1.88 × 104
100 4.19 2.08 × 104
191 8.00 3.98 × 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 1.60 5520
20.0 1.74 6000
30.0 2.60 9000
40.0 3.47 1.20 × 104
50.0 4.34 1.50 × 104
60.0 5.21 1.80 × 104
70.0 6.08 2.10 × 104
80.0 6.94 2.40 × 104
90.0 7.81 2.70 × 104
92.2 8.00 2.76 × 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 2.96 7510
20.0 3.22 8170
30.0 4.82 1.23 × 104
40.0 6.43 1.63 × 104
49.7 8.00 2.03 × 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 5.05 9810
20.0 5.49 1.07 × 104
29.2 8.00 1.56 × 104
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