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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 1.77 × 10-5 18.3 20.0 2.83 × 10-5 29.3 30.0 4.24 × 10-5 44.0 40.0 5.66 × 10-5 58.6 50.0 7.07 × 10-5 73.3 60.0 8.48 × 10-5 88.0 70.0 9.90 × 10-5 103 80.0 1.13 × 10-4 117 90.0 1.27 × 10-4 132 100 1.41 × 10-4 147 200 2.83 × 10-4 293 300 4.24 × 10-4 440 400 5.66 × 10-4 586 500 7.07 × 10-4 733 600 8.48 × 10-4 880 700 9.90 × 10-4 1030 800 0.00113 1170 900 0.00127 1320 1000 0.00141 1470 2000 0.00283 2930 3000 0.00424 4400 4000 0.00566 5860 5000 0.00707 7330 6000 0.00848 8800 7000 0.00990 1.03 × 104 8000 0.0113 1.17 × 104 9000 0.0127 1.32 × 104 1.00 × 104 0.0141 1.47 × 104 2.00 × 104 0.0283 2.93 × 104 3.00 × 104 0.0424 4.40 × 104 4.00 × 104 0.0566 5.86 × 104 5.00 × 104 0.0707 7.33 × 104 6.00 × 104 0.0848 8.80 × 104 7.00 × 104 0.0990 1.03 × 105 8.00 × 104 0.113 1.17 × 105 9.00 × 104 0.127 1.32 × 105 1.00 × 105 0.141 1.47 × 105 2.00 × 105 0.283 2.93 × 105 2.03 × 105 0.286 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 1.36 × 10-4 50.9 20.0 2.18 × 10-4 81.4 30.0 3.27 × 10-4 122 40.0 4.36 × 10-4 163 50.0 5.46 × 10-4 204 60.0 6.55 × 10-4 244 70.0 7.64 × 10-4 285 80.0 8.73 × 10-4 326 90.0 9.82 × 10-4 367 100 0.00109 407 200 0.00218 814 300 0.00327 1220 400 0.00436 1630 500 0.00546 2040 600 0.00655 2440 700 0.00764 2850 800 0.00873 3260 900 0.00982 3670 1000 0.0109 4070 2000 0.0218 8140 3000 0.0327 1.22 × 104 4000 0.0436 1.63 × 104 5000 0.0546 2.04 × 104 6000 0.0655 2.44 × 104 7000 0.0764 2.85 × 104 8000 0.0873 3.26 × 104 9000 0.0982 3.67 × 104 1.00 × 104 0.109 4.07 × 104 2.00 × 104 0.218 8.14 × 104 3.00 × 104 0.327 1.22 × 105 4.00 × 104 0.436 1.63 × 105 5.00 × 104 0.546 2.04 × 105 6.00 × 104 0.655 2.44 × 105 7.00 × 104 0.764 2.85 × 105 7.29 × 104 0.796 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 0.00218 204 20.0 0.00349 326 30.0 0.00524 489 40.0 0.00698 652 50.0 0.00873 814 60.0 0.0105 977 70.0 0.0122 1140 80.0 0.0140 1300 90.0 0.0157 1470 100 0.0175 1630 200 0.0349 3260 300 0.0524 4890 400 0.0698 6520 500 0.0873 8140 600 0.105 9770 700 0.122 1.14 × 104 800 0.140 1.30 × 104 900 0.157 1.47 × 104 1000 0.175 1.63 × 104 2000 0.349 3.26 × 104 3000 0.524 4.89 × 104 4000 0.698 6.52 × 104 5000 0.873 8.14 × 104 6000 1.05 9.77 × 104 7000 1.22 1.14 × 105 8000 1.40 1.30 × 105 9000 1.57 1.47 × 105 1.00 × 104 1.75 1.63 × 105 1.82 × 104 3.18 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 0.0110 458 20.0 0.0177 733 30.0 0.0265 1100 40.0 0.0353 1470 50.0 0.0442 1830 60.0 0.0530 2200 70.0 0.0619 2570 80.0 0.0707 2930 90.0 0.0795 3300 100 0.0884 3670 200 0.177 7330 300 0.265 1.10 × 104 400 0.353 1.47 × 104 500 0.442 1.83 × 104 600 0.530 2.20 × 104 700 0.619 2.57 × 104 800 0.707 2.93 × 104 900 0.795 3.30 × 104 1000 0.884 3.67 × 104 2000 1.77 7.33 × 104 3000 2.65 1.10 × 105 4000 3.53 1.47 × 105 5000 4.42 1.83 × 105 6000 5.30 2.20 × 105 6790 6.00 2.49 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 12.5 0.0349 814 20.0 0.0559 1300 30.0 0.0838 1950 40.0 0.112 2610 50.0 0.140 3260 60.0 0.168 3910 70.0 0.196 4560 80.0 0.223 5210 90.0 0.251 5860 100 0.279 6520 200 0.559 1.30 × 104 300 0.838 1.95 × 104 400 1.12 2.61 × 104 500 1.40 3.26 × 104 600 1.68 3.91 × 104 700 1.96 4.56 × 104 800 2.23 5.21 × 104 900 2.51 5.86 × 104 1000 2.79 6.52 × 104 2000 5.59 1.30 × 105 2150 6.00 1.40 × 105
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 12.5 0.0852 1270 20.0 0.136 2040 30.0 0.205 3050 40.0 0.273 4070 50.0 0.341 5090 60.0 0.409 6110 70.0 0.477 7130 80.0 0.546 8140 90.0 0.614 9160 100 0.682 1.02 × 104 200 1.36 2.04 × 104 300 2.05 3.05 × 104 400 2.73 4.07 × 104 500 3.41 5.09 × 104 600 4.09 6.11 × 104 700 4.77 7.13 × 104 800 5.46 8.14 × 104 880 6.00 8.96 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 12.5 0.177 1830 20.0 0.283 2930 30.0 0.424 4400 40.0 0.566 5860 50.0 0.707 7330 60.0 0.848 8800 70.0 0.990 1.03 × 104 80.0 1.13 1.17 × 104 90.0 1.27 1.32 × 104 100 1.41 1.47 × 104 200 2.83 2.93 × 104 300 4.24 4.40 × 104 400 5.66 5.86 × 104 424 6.00 6.22 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 12.5 0.559 3260 20.0 0.894 5210 30.0 1.34 7820 40.0 1.79 1.04 × 104 50.0 2.23 1.30 × 104 60.0 2.68 1.56 × 104 70.0 3.13 1.82 × 104 80.0 3.58 2.09 × 104 90.0 4.02 2.35 × 104 100 4.47 2.61 × 104 134 6.00 3.50 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 12.5 1.36 5090 20.0 2.18 8140 30.0 3.27 1.22 × 104 40.0 4.36 1.63 × 104 50.0 5.46 2.04 × 104 55.0 6.00 2.24 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 12.5 2.83 7330 20.0 4.52 1.17 × 104 26.5 6.00 1.56 × 104
 Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 12.5 5.24 9980 14.3 6.00 1.14 × 104
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