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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 3.35 × 10-5 37.8
10.0 3.52 × 10-5 39.8
20.0 7.05 × 10-5 79.5
30.0 1.06 × 10-4 119
40.0 1.41 × 10-4 159
50.0 1.76 × 10-4 199
60.0 2.11 × 10-4 239
70.0 2.47 × 10-4 278
80.0 2.82 × 10-4 318
90.0 3.17 × 10-4 358
100 3.52 × 10-4 398
200 7.05 × 10-4 795
300 0.00106 1190
400 0.00141 1590
500 0.00176 1990
600 0.00211 2390
700 0.00247 2780
800 0.00282 3180
900 0.00317 3580
1000 0.00352 3980
2000 0.00705 7950
3000 0.0106 1.19 × 104
4000 0.0141 1.59 × 104
5000 0.0176 1.99 × 104
6000 0.0211 2.39 × 104
7000 0.0247 2.78 × 104
8000 0.0282 3.18 × 104
9000 0.0317 3.58 × 104
1.00 × 104 0.0352 3.98 × 104
2.00 × 104 0.0705 7.95 × 104
3.00 × 104 0.106 1.19 × 105
4.00 × 104 0.141 1.59 × 105
5.00 × 104 0.176 1.99 × 105
6.00 × 104 0.211 2.39 × 105
7.00 × 104 0.247 2.78 × 105
7.47 × 104 0.263 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 2.58 × 10-4 105
10.0 2.72 × 10-4 110
20.0 5.44 × 10-4 221
30.0 8.16 × 10-4 331
40.0 0.00109 442
50.0 0.00136 552
60.0 0.00163 663
70.0 0.00190 773
80.0 0.00218 884
90.0 0.00245 994
100 0.00272 1100
200 0.00544 2210
300 0.00816 3310
400 0.0109 4420
500 0.0136 5520
600 0.0163 6630
700 0.0190 7730
800 0.0218 8840
900 0.0245 9940
1000 0.0272 1.10 × 104
2000 0.0544 2.21 × 104
3000 0.0816 3.31 × 104
4000 0.109 4.42 × 104
5000 0.136 5.52 × 104
6000 0.163 6.63 × 104
7000 0.190 7.73 × 104
8000 0.218 8.84 × 104
9000 0.245 9.94 × 104
1.00 × 104 0.272 1.10 × 105
2.00 × 104 0.544 2.21 × 105
2.69 × 104 0.731 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 0.00413 420
10.0 0.00435 442
20.0 0.00870 884
30.0 0.0131 1330
40.0 0.0174 1770
50.0 0.0218 2210
60.0 0.0261 2650
70.0 0.0305 3090
80.0 0.0348 3530
90.0 0.0392 3980
100 0.0435 4420
200 0.0870 8840
300 0.131 1.33 × 104
400 0.174 1.77 × 104
500 0.218 2.21 × 104
600 0.261 2.65 × 104
700 0.305 3.09 × 104
800 0.348 3.53 × 104
900 0.392 3.98 × 104
1000 0.435 4.42 × 104
2000 0.870 8.84 × 104
3000 1.31 1.33 × 105
4000 1.74 1.77 × 105
5000 2.18 2.21 × 105
6000 2.61 2.65 × 105
6720 2.93 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 0.0209 944
10.0 0.0220 994
20.0 0.0441 1990
30.0 0.0661 2980
40.0 0.0881 3980
50.0 0.110 4970
60.0 0.132 5960
70.0 0.154 6960
80.0 0.176 7950
90.0 0.198 8950
100 0.220 9940
200 0.441 1.99 × 104
300 0.661 2.98 × 104
400 0.881 3.98 × 104
500 1.10 4.97 × 104
600 1.32 5.96 × 104
700 1.54 6.96 × 104
800 1.76 7.95 × 104
900 1.98 8.95 × 104
1000 2.20 9.94 × 104
1820 4.00 1.80 × 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 0.0661 1680
10.0 0.0696 1770
20.0 0.139 3530
30.0 0.209 5300
40.0 0.279 7070
50.0 0.348 8840
60.0 0.418 1.06 × 104
70.0 0.487 1.24 × 104
80.0 0.557 1.41 × 104
90.0 0.627 1.59 × 104
100 0.696 1.77 × 104
200 1.39 3.53 × 104
300 2.09 5.30 × 104
400 2.79 7.07 × 104
500 3.48 8.84 × 104
574 4.00 1.02 × 105
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 0.161 2620
10.0 0.170 2760
20.0 0.340 5520
30.0 0.510 8280
40.0 0.680 1.10 × 104
50.0 0.850 1.38 × 104
60.0 1.02 1.66 × 104
70.0 1.19 1.93 × 104
80.0 1.36 2.21 × 104
90.0 1.53 2.49 × 104
100 1.70 2.76 × 104
200 3.40 5.52 × 104
235 4.00 6.50 × 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 0.335 3780
10.0 0.352 3980
20.0 0.705 7950
30.0 1.06 1.19 × 104
40.0 1.41 1.59 × 104
50.0 1.76 1.99 × 104
60.0 2.11 2.39 × 104
70.0 2.47 2.78 × 104
80.0 2.82 3.18 × 104
90.0 3.17 3.58 × 104
100 3.52 3.98 × 104
113 4.00 4.51 × 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 1.06 6720
10.0 1.11 7070
20.0 2.23 1.41 × 104
30.0 3.34 2.12 × 104
35.9 4.00 2.54 × 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 2.58 1.05 × 104
10.0 2.72 1.10 × 104
14.7 4.00 1.62 × 104
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