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S Section Steel I Beam: S4 × 9.5
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
   
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 8.37 × 10-5 37.8
10.0 8.81 × 10-5 39.8
20.0 1.76 × 10-4 79.5
30.0 2.64 × 10-4 119
40.0 3.52 × 10-4 159
50.0 4.41 × 10-4 199
60.0 5.29 × 10-4 239
70.0 6.17 × 10-4 278
80.0 7.05 × 10-4 318
90.0 7.93 × 10-4 358
100 8.81 × 10-4 398
200 0.00176 795
300 0.00264 1190
400 0.00352 1590
500 0.00441 1990
600 0.00529 2390
700 0.00617 2780
800 0.00705 3180
900 0.00793 3580
1000 0.00881 3980
2000 0.0176 7950
3000 0.0264 1.19 × 104
4000 0.0352 1.59 × 104
5000 0.0441 1.99 × 104
6000 0.0529 2.39 × 104
7000 0.0617 2.78 × 104
8000 0.0705 3.18 × 104
9000 0.0793 3.58 × 104
1.00 × 104 0.0881 3.98 × 104
2.00 × 104 0.176 7.95 × 104
3.00 × 104 0.264 1.19 × 105
4.00 × 104 0.352 1.59 × 105
5.00 × 104 0.441 1.99 × 105
6.00 × 104 0.529 2.39 × 105
7.00 × 104 0.617 2.78 × 105
7.47 × 104 0.658 2.97 × 105
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 6.46 × 10-4 105
10.0 6.80 × 10-4 110
20.0 0.00136 221
30.0 0.00204 331
40.0 0.00272 442
50.0 0.00340 552
60.0 0.00408 663
70.0 0.00476 773
80.0 0.00544 884
90.0 0.00612 994
100 0.00680 1100
200 0.0136 2210
300 0.0204 3310
400 0.0272 4420
500 0.0340 5520
600 0.0408 6630
700 0.0476 7730
800 0.0544 8840
900 0.0612 9940
1000 0.0680 1.10 × 104
2000 0.136 2.21 × 104
3000 0.204 3.31 × 104
4000 0.272 4.42 × 104
5000 0.340 5.52 × 104
6000 0.408 6.63 × 104
7000 0.476 7.73 × 104
8000 0.544 8.84 × 104
9000 0.612 9.94 × 104
1.00 × 104 0.680 1.10 × 105
2.00 × 104 1.36 2.21 × 105
2.69 × 104 1.83 2.97 × 105
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.0103 420
10.0 0.0109 442
20.0 0.0218 884
30.0 0.0326 1330
40.0 0.0435 1770
50.0 0.0544 2210
60.0 0.0653 2650
70.0 0.0762 3090
80.0 0.0870 3530
90.0 0.0979 3980
100 0.109 4420
200 0.218 8840
300 0.326 1.33 × 104
400 0.435 1.77 × 104
500 0.544 2.21 × 104
600 0.653 2.65 × 104
700 0.762 3.09 × 104
800 0.870 3.53 × 104
900 0.979 3.98 × 104
1000 1.09 4.42 × 104
2000 2.18 8.84 × 104
3000 3.26 1.33 × 105
3680 4.00 1.62 × 105
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.0523 944
10.0 0.0551 994
20.0 0.110 1990
30.0 0.165 2980
40.0 0.220 3980
50.0 0.275 4970
60.0 0.330 5960
70.0 0.386 6960
80.0 0.441 7950
90.0 0.496 8950
100 0.551 9940
200 1.10 1.99 × 104
300 1.65 2.98 × 104
400 2.20 3.98 × 104
500 2.75 4.97 × 104
600 3.30 5.96 × 104
700 3.86 6.96 × 104
726 4.00 7.22 × 104
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.165 1680
10.0 0.174 1770
20.0 0.348 3530
30.0 0.522 5300
40.0 0.696 7070
50.0 0.870 8840
60.0 1.04 1.06 × 104
70.0 1.22 1.24 × 104
80.0 1.39 1.41 × 104
90.0 1.57 1.59 × 104
100 1.74 1.77 × 104
200 3.48 3.53 × 104
230 4.00 4.06 × 104
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.404 2620
10.0 0.425 2760
20.0 0.850 5520
30.0 1.27 8280
40.0 1.70 1.10 × 104
50.0 2.12 1.38 × 104
60.0 2.55 1.66 × 104
70.0 2.97 1.93 × 104
80.0 3.40 2.21 × 104
90.0 3.82 2.49 × 104
94.1 4.00 2.60 × 104
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 0.837 3780
10.0 0.881 3980
20.0 1.76 7950
30.0 2.64 1.19 × 104
40.0 3.52 1.59 × 104
45.4 4.00 1.80 × 104
Steel I Beam: S4 × 9.5 (S Section 4 inch tall × 9.5 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.50 2.65 6720
10.0 2.79 7070
14.4 4.00 1.02 × 104
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