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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 4.37 × 10-5 30.2
10.0 4.60 × 10-5 31.8
20.0 9.20 × 10-5 63.6
30.0 1.38 × 10-4 95.4
40.0 1.84 × 10-4 127
50.0 2.30 × 10-4 159
60.0 2.76 × 10-4 191
70.0 3.22 × 10-4 223
80.0 3.68 × 10-4 254
90.0 4.14 × 10-4 286
100 4.60 × 10-4 318
200 9.20 × 10-4 636
300 0.00138 954
400 0.00184 1270
500 0.00230 1590
600 0.00276 1910
700 0.00322 2230
800 0.00368 2540
900 0.00414 2860
1000 0.00460 3180
2000 0.00920 6360
3000 0.0138 9540
4000 0.0184 1.27 × 104
5000 0.0230 1.59 × 104
6000 0.0276 1.91 × 104
7000 0.0322 2.23 × 104
8000 0.0368 2.54 × 104
9000 0.0414 2.86 × 104
1.00 × 104 0.0460 3.18 × 104
2.00 × 104 0.0920 6.36 × 104
3.00 × 104 0.138 9.54 × 104
4.00 × 104 0.184 1.27 × 105
5.00 × 104 0.230 1.59 × 105
6.00 × 104 0.276 1.91 × 105
7.00 × 104 0.322 2.23 × 105
8.00 × 104 0.368 2.54 × 105
9.00 × 104 0.414 2.86 × 105
9.34 × 104 0.430 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 3.37 × 10-4 83.9
10.0 3.55 × 10-4 88.4
20.0 7.10 × 10-4 177
30.0 0.00107 265
40.0 0.00142 353
50.0 0.00178 442
60.0 0.00213 530
70.0 0.00249 619
80.0 0.00284 707
90.0 0.00320 795
100 0.00355 884
200 0.00710 1770
300 0.0107 2650
400 0.0142 3530
500 0.0178 4420
600 0.0213 5300
700 0.0249 6190
800 0.0284 7070
900 0.0320 7950
1000 0.0355 8840
2000 0.0710 1.77 × 104
3000 0.107 2.65 × 104
4000 0.142 3.53 × 104
5000 0.178 4.42 × 104
6000 0.213 5.30 × 104
7000 0.249 6.19 × 104
8000 0.284 7.07 × 104
9000 0.320 7.95 × 104
1.00 × 104 0.355 8.84 × 104
2.00 × 104 0.710 1.77 × 105
3.00 × 104 1.07 2.65 × 105
3.36 × 104 1.19 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 0.00540 336
10.0 0.00568 353
20.0 0.0114 707
30.0 0.0170 1060
40.0 0.0227 1410
50.0 0.0284 1770
60.0 0.0341 2120
70.0 0.0398 2470
80.0 0.0455 2830
90.0 0.0511 3180
100 0.0568 3530
200 0.114 7070
300 0.170 1.06 × 104
400 0.227 1.41 × 104
500 0.284 1.77 × 104
600 0.341 2.12 × 104
700 0.398 2.47 × 104
800 0.455 2.83 × 104
900 0.511 3.18 × 104
1000 0.568 3.53 × 104
2000 1.14 7.07 × 104
3000 1.70 1.06 × 105
4000 2.27 1.41 × 105
5000 2.84 1.77 × 105
6000 3.41 2.12 × 105
7000 3.98 2.47 × 105
7040 4.00 2.49 × 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 0.0273 756
10.0 0.0288 795
20.0 0.0575 1590
30.0 0.0863 2390
40.0 0.115 3180
50.0 0.144 3980
60.0 0.173 4770
70.0 0.201 5570
80.0 0.230 6360
90.0 0.259 7160
100 0.288 7950
200 0.575 1.59 × 104
300 0.863 2.39 × 104
400 1.15 3.18 × 104
500 1.44 3.98 × 104
600 1.73 4.77 × 104
700 2.01 5.57 × 104
800 2.30 6.36 × 104
900 2.59 7.16 × 104
1000 2.88 7.95 × 104
1390 4.00 1.11 × 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 0.0864 1340
10.0 0.0909 1410
20.0 0.182 2830
30.0 0.273 4240
40.0 0.364 5660
50.0 0.455 7070
60.0 0.545 8480
70.0 0.636 9900
80.0 0.727 1.13 × 104
90.0 0.818 1.27 × 104
100 0.909 1.41 × 104
200 1.82 2.83 × 104
300 2.73 4.24 × 104
400 3.64 5.66 × 104
440 4.00 6.22 × 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 0.211 2100
10.0 0.222 2210
20.0 0.444 4420
30.0 0.666 6630
40.0 0.888 8840
50.0 1.11 1.10 × 104
60.0 1.33 1.33 × 104
70.0 1.55 1.55 × 104
80.0 1.78 1.77 × 104
90.0 2.00 1.99 × 104
100 2.22 2.21 × 104
180 4.00 3.98 × 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 0.437 3020
10.0 0.460 3180
20.0 0.920 6360
30.0 1.38 9540
40.0 1.84 1.27 × 104
50.0 2.30 1.59 × 104
60.0 2.76 1.91 × 104
70.0 3.22 2.23 × 104
80.0 3.68 2.54 × 104
86.9 4.00 2.76 × 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 1.38 5370
10.0 1.45 5660
20.0 2.91 1.13 × 104
27.5 4.00 1.56 × 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 3.37 8390
10.0 3.55 8840
11.3 4.00 9950
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