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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S6 × 12.5
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 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 = 22.1 in4) for the S6 × 12.5 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: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 12.5 1.64 × 10-5 19.6 20.0 2.62 × 10-5 31.4 30.0 3.93 × 10-5 47.1 40.0 5.24 × 10-5 62.8 50.0 6.55 × 10-5 78.5 60.0 7.86 × 10-5 94.2 70.0 9.17 × 10-5 110 80.0 1.05 × 10-4 126 90.0 1.18 × 10-4 141 100 1.31 × 10-4 157 200 2.62 × 10-4 314 300 3.93 × 10-4 471 400 5.24 × 10-4 628 500 6.55 × 10-4 785 600 7.86 × 10-4 942 700 9.17 × 10-4 1100 800 0.00105 1260 900 0.00118 1410 1000 0.00131 1570 2000 0.00262 3140 3000 0.00393 4710 4000 0.00524 6280 5000 0.00655 7850 6000 0.00786 9420 7000 0.00917 1.10 × 104 8000 0.0105 1.26 × 104 9000 0.0118 1.41 × 104 1.00 × 104 0.0131 1.57 × 104 2.00 × 104 0.0262 3.14 × 104 3.00 × 104 0.0393 4.71 × 104 4.00 × 104 0.0524 6.28 × 104 5.00 × 104 0.0655 7.85 × 104 6.00 × 104 0.0786 9.42 × 104 7.00 × 104 0.0917 1.10 × 105 8.00 × 104 0.105 1.26 × 105 9.00 × 104 0.118 1.41 × 105 1.00 × 105 0.131 1.57 × 105 1.89 × 105 0.248 2.97 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 12.5 1.26 × 10-4 54.5 20.0 2.02 × 10-4 87.2 30.0 3.03 × 10-4 131 40.0 4.04 × 10-4 174 50.0 5.05 × 10-4 218 60.0 6.06 × 10-4 262 70.0 7.08 × 10-4 305 80.0 8.09 × 10-4 349 90.0 9.10 × 10-4 393 100 0.00101 436 200 0.00202 872 300 0.00303 1310 400 0.00404 1740 500 0.00505 2180 600 0.00606 2620 700 0.00708 3050 800 0.00809 3490 900 0.00910 3930 1000 0.0101 4360 2000 0.0202 8720 3000 0.0303 1.31 × 104 4000 0.0404 1.74 × 104 5000 0.0505 2.18 × 104 6000 0.0606 2.62 × 104 7000 0.0708 3.05 × 104 8000 0.0809 3.49 × 104 9000 0.0910 3.93 × 104 1.00 × 104 0.101 4.36 × 104 2.00 × 104 0.202 8.72 × 104 3.00 × 104 0.303 1.31 × 105 4.00 × 104 0.404 1.74 × 105 5.00 × 104 0.505 2.18 × 105 6.00 × 104 0.606 2.62 × 105 6.81 × 104 0.688 2.97 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 12.5 0.00202 218 20.0 0.00323 349 30.0 0.00485 523 40.0 0.00647 698 50.0 0.00809 872 60.0 0.00970 1050 70.0 0.0113 1220 80.0 0.0129 1400 90.0 0.0146 1570 100 0.0162 1740 200 0.0323 3490 300 0.0485 5230 400 0.0647 6980 500 0.0809 8720 600 0.0970 1.05 × 104 700 0.113 1.22 × 104 800 0.129 1.40 × 104 900 0.146 1.57 × 104 1000 0.162 1.74 × 104 2000 0.323 3.49 × 104 3000 0.485 5.23 × 104 4000 0.647 6.98 × 104 5000 0.809 8.72 × 104 6000 0.970 1.05 × 105 7000 1.13 1.22 × 105 8000 1.29 1.40 × 105 9000 1.46 1.57 × 105 1.00 × 104 1.62 1.74 × 105 1.70 × 104 2.75 2.97 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 12.5 0.0102 491 20.0 0.0164 785 30.0 0.0246 1180 40.0 0.0328 1570 50.0 0.0409 1960 60.0 0.0491 2360 70.0 0.0573 2750 80.0 0.0655 3140 90.0 0.0737 3530 100 0.0819 3930 200 0.164 7850 300 0.246 1.18 × 104 400 0.328 1.57 × 104 500 0.409 1.96 × 104 600 0.491 2.36 × 104 700 0.573 2.75 × 104 800 0.655 3.14 × 104 900 0.737 3.53 × 104 1000 0.819 3.93 × 104 2000 1.64 7.85 × 104 3000 2.46 1.18 × 105 4000 3.28 1.57 × 105 5000 4.09 1.96 × 105 6000 4.91 2.36 × 105 7000 5.73 2.75 × 105 7570 6.20 2.97 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 12.5 0.0323 872 20.0 0.0518 1400 30.0 0.0776 2090 40.0 0.104 2790 50.0 0.129 3490 60.0 0.155 4190 70.0 0.181 4880 80.0 0.207 5580 90.0 0.233 6280 100 0.259 6980 200 0.518 1.40 × 104 300 0.776 2.09 × 104 400 1.04 2.79 × 104 500 1.29 3.49 × 104 600 1.55 4.19 × 104 700 1.81 4.88 × 104 800 2.07 5.58 × 104 900 2.33 6.28 × 104 1000 2.59 6.98 × 104 2000 5.18 1.40 × 105 2320 6.00 1.62 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 12.5 0.0790 1360 20.0 0.126 2180 30.0 0.190 3270 40.0 0.253 4360 50.0 0.316 5450 60.0 0.379 6540 70.0 0.442 7630 80.0 0.505 8720 90.0 0.569 9810 100 0.632 1.09 × 104 200 1.26 2.18 × 104 300 1.90 3.27 × 104 400 2.53 4.36 × 104 500 3.16 5.45 × 104 600 3.79 6.54 × 104 700 4.42 7.63 × 104 800 5.05 8.72 × 104 900 5.69 9.81 × 104 950 6.00 1.04 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 12.5 0.164 1960 20.0 0.262 3140 30.0 0.393 4710 40.0 0.524 6280 50.0 0.655 7850 60.0 0.786 9420 70.0 0.917 1.10 × 104 80.0 1.05 1.26 × 104 90.0 1.18 1.41 × 104 100 1.31 1.57 × 104 200 2.62 3.14 × 104 300 3.93 4.71 × 104 400 5.24 6.28 × 104 458 6.00 7.19 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 12.5 0.518 3490 20.0 0.828 5580 30.0 1.24 8370 40.0 1.66 1.12 × 104 50.0 2.07 1.40 × 104 60.0 2.48 1.67 × 104 70.0 2.90 1.95 × 104 80.0 3.31 2.23 × 104 90.0 3.73 2.51 × 104 100 4.14 2.79 × 104 145 6.00 4.05 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 12.5 1.26 5450 20.0 2.02 8720 30.0 3.03 1.31 × 104 40.0 4.04 1.74 × 104 50.0 5.05 2.18 × 104 59.4 6.00 2.59 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 12.5 2.62 7850 20.0 4.19 1.26 × 104 28.6 6.00 1.80 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 12.5 4.85 1.07 × 104 15.5 6.00 1.32 × 104
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