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S Section Steel I Beam: S4 × 9.5
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S4 × 9.5
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 = 6.79 in4) for the S4 × 9.5 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: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 4.05 × 10-5 32.4
10.0 4.26 × 10-5 34.1
20.0 8.53 × 10-5 68.1
30.0 1.28 × 10-4 102
40.0 1.71 × 10-4 136
50.0 2.13 × 10-4 170
60.0 2.56 × 10-4 204
70.0 2.98 × 10-4 238
80.0 3.41 × 10-4 273
90.0 3.84 × 10-4 307
100 4.26 × 10-4 341
200 8.53 × 10-4 681
300 0.00128 1020
400 0.00171 1360
500 0.00213 1700
600 0.00256 2040
700 0.00298 2380
800 0.00341 2730
900 0.00384 3070
1000 0.00426 3410
2000 0.00853 6810
3000 0.0128 1.02 × 104
4000 0.0171 1.36 × 104
5000 0.0213 1.70 × 104
6000 0.0256 2.04 × 104
7000 0.0298 2.38 × 104
8000 0.0341 2.73 × 104
9000 0.0384 3.07 × 104
1.00 × 104 0.0426 3.41 × 104
2.00 × 104 0.0853 6.81 × 104
3.00 × 104 0.128 1.02 × 105
4.00 × 104 0.171 1.36 × 105
5.00 × 104 0.213 1.70 × 105
6.00 × 104 0.256 2.04 × 105
7.00 × 104 0.298 2.38 × 105
8.00 × 104 0.341 2.73 × 105
8.72 × 104 0.372 2.97 × 105
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 3.13 × 10-4 89.9
10.0 3.29 × 10-4 94.6
20.0 6.58 × 10-4 189
30.0 9.87 × 10-4 284
40.0 0.00132 379
50.0 0.00164 473
60.0 0.00197 568
70.0 0.00230 662
80.0 0.00263 757
90.0 0.00296 852
100 0.00329 946
200 0.00658 1890
300 0.00987 2840
400 0.0132 3790
500 0.0164 4730
600 0.0197 5680
700 0.0230 6620
800 0.0263 7570
900 0.0296 8520
1000 0.0329 9460
2000 0.0658 1.89 × 104
3000 0.0987 2.84 × 104
4000 0.132 3.79 × 104
5000 0.164 4.73 × 104
6000 0.197 5.68 × 104
7000 0.230 6.62 × 104
8000 0.263 7.57 × 104
9000 0.296 8.52 × 104
1.00 × 104 0.329 9.46 × 104
2.00 × 104 0.658 1.89 × 105
3.00 × 104 0.987 2.84 × 105
3.14 × 104 1.03 2.97 × 105
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.00500 360
10.0 0.00526 379
20.0 0.0105 757
30.0 0.0158 1140
40.0 0.0211 1510
50.0 0.0263 1890
60.0 0.0316 2270
70.0 0.0368 2650
80.0 0.0421 3030
90.0 0.0474 3410
100 0.0526 3790
200 0.105 7570
300 0.158 1.14 × 104
400 0.211 1.51 × 104
500 0.263 1.89 × 104
600 0.316 2.27 × 104
700 0.368 2.65 × 104
800 0.421 3.03 × 104
900 0.474 3.41 × 104
1000 0.526 3.79 × 104
2000 1.05 7.57 × 104
3000 1.58 1.14 × 105
4000 2.11 1.51 × 105
5000 2.63 1.89 × 105
6000 3.16 2.27 × 105
7000 3.68 2.65 × 105
7850 4.13 2.97 × 105
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.0253 809
10.0 0.0266 852
20.0 0.0533 1700
30.0 0.0799 2560
40.0 0.107 3410
50.0 0.133 4260
60.0 0.160 5110
70.0 0.187 5960
80.0 0.213 6810
90.0 0.240 7670
100 0.266 8520
200 0.533 1.70 × 104
300 0.799 2.56 × 104
400 1.07 3.41 × 104
500 1.33 4.26 × 104
600 1.60 5.11 × 104
700 1.87 5.96 × 104
800 2.13 6.81 × 104
900 2.40 7.67 × 104
1000 2.66 8.52 × 104
1500 4.00 1.28 × 105
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.0800 1440
10.0 0.0842 1510
20.0 0.168 3030
30.0 0.253 4540
40.0 0.337 6060
50.0 0.421 7570
60.0 0.505 9090
70.0 0.590 1.06 × 104
80.0 0.674 1.21 × 104
90.0 0.758 1.36 × 104
100 0.842 1.51 × 104
200 1.68 3.03 × 104
300 2.53 4.54 × 104
400 3.37 6.06 × 104
475 4.00 7.19 × 104
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.195 2250
10.0 0.206 2370
20.0 0.411 4730
30.0 0.617 7100
40.0 0.822 9460
50.0 1.03 1.18 × 104
60.0 1.23 1.42 × 104
70.0 1.44 1.66 × 104
80.0 1.64 1.89 × 104
90.0 1.85 2.13 × 104
100 2.06 2.37 × 104
195 4.00 4.60 × 104
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.405 3240
10.0 0.426 3410
20.0 0.853 6810
30.0 1.28 1.02 × 104
40.0 1.71 1.36 × 104
50.0 2.13 1.70 × 104
60.0 2.56 2.04 × 104
70.0 2.98 2.38 × 104
80.0 3.41 2.73 × 104
90.0 3.84 3.07 × 104
93.8 4.00 3.20 × 104
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 1.28 5750
10.0 1.35 6060
20.0 2.70 1.21 × 104
29.7 4.00 1.80 × 104
Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 3.13 8990
10.0 3.29 9460
12.2 4.00 1.15 × 104
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