S Section Steel I Beam: S4 × 9.5

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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 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 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.

 Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft) L = 3.00 ft (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (psi) 9.50 3.37 8390 10.0 3.55 8840 11.3 4.00 9950