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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S15 × 50
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 = 486 in4) for the S15 × 50 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: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 50.0 3.21 × 10-6 8.33 60.0 3.86 × 10-6 10.0 70.0 4.50 × 10-6 11.7 80.0 5.14 × 10-6 13.3 90.0 5.79 × 10-6 15.0 100 6.43 × 10-6 16.7 200 1.29 × 10-5 33.3 300 1.93 × 10-5 50.0 400 2.57 × 10-5 66.7 500 3.21 × 10-5 83.3 600 3.86 × 10-5 100 700 4.50 × 10-5 117 800 5.14 × 10-5 133 900 5.79 × 10-5 150 1000 6.43 × 10-5 167 2000 1.29 × 10-4 333 3000 1.93 × 10-4 500 4000 2.57 × 10-4 667 5000 3.21 × 10-4 833 6000 3.86 × 10-4 1000 7000 4.50 × 10-4 1170 8000 5.14 × 10-4 1330 9000 5.79 × 10-4 1500 1.00 × 104 6.43 × 10-4 1670 2.00 × 104 0.00129 3330 3.00 × 104 0.00193 5000 4.00 × 104 0.00257 6670 5.00 × 104 0.00321 8330 6.00 × 104 0.00386 1.00 × 104 7.00 × 104 0.00450 1.17 × 104 8.00 × 104 0.00514 1.33 × 104 9.00 × 104 0.00579 1.50 × 104 1.00 × 105 0.00643 1.67 × 104 2.00 × 105 0.0129 3.33 × 104 3.00 × 105 0.0193 5.00 × 104 4.00 × 105 0.0257 6.67 × 104 5.00 × 105 0.0321 8.33 × 104 6.00 × 105 0.0386 1.00 × 105 7.00 × 105 0.0450 1.17 × 105 8.00 × 105 0.0514 1.33 × 105 9.00 × 105 0.0579 1.50 × 105 1.00 × 106 0.0643 1.67 × 105 1.78 × 106 0.115 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 50.0 2.48 × 10-5 23.1 60.0 2.98 × 10-5 27.8 70.0 3.47 × 10-5 32.4 80.0 3.97 × 10-5 37.0 90.0 4.47 × 10-5 41.7 100 4.96 × 10-5 46.3 200 9.92 × 10-5 92.6 300 1.49 × 10-4 139 400 1.98 × 10-4 185 500 2.48 × 10-4 231 600 2.98 × 10-4 278 700 3.47 × 10-4 324 800 3.97 × 10-4 370 900 4.47 × 10-4 417 1000 4.96 × 10-4 463 2000 9.92 × 10-4 926 3000 0.00149 1390 4000 0.00198 1850 5000 0.00248 2310 6000 0.00298 2780 7000 0.00347 3240 8000 0.00397 3700 9000 0.00447 4170 1.00 × 104 0.00496 4630 2.00 × 104 0.00992 9260 3.00 × 104 0.0149 1.39 × 104 4.00 × 104 0.0198 1.85 × 104 5.00 × 104 0.0248 2.31 × 104 6.00 × 104 0.0298 2.78 × 104 7.00 × 104 0.0347 3.24 × 104 8.00 × 104 0.0397 3.70 × 104 9.00 × 104 0.0447 4.17 × 104 1.00 × 105 0.0496 4.63 × 104 2.00 × 105 0.0992 9.26 × 104 3.00 × 105 0.149 1.39 × 105 4.00 × 105 0.198 1.85 × 105 5.00 × 105 0.248 2.31 × 105 6.00 × 105 0.298 2.78 × 105 6.42 × 105 0.318 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 50.0 3.97 × 10-4 92.6 60.0 4.76 × 10-4 111 70.0 5.56 × 10-4 130 80.0 6.35 × 10-4 148 90.0 7.14 × 10-4 167 100 7.94 × 10-4 185 200 0.00159 370 300 0.00238 556 400 0.00318 741 500 0.00397 926 600 0.00476 1110 700 0.00556 1300 800 0.00635 1480 900 0.00714 1670 1000 0.00794 1850 2000 0.0159 3700 3000 0.0238 5560 4000 0.0318 7410 5000 0.0397 9260 6000 0.0476 1.11 × 104 7000 0.0556 1.30 × 104 8000 0.0635 1.48 × 104 9000 0.0714 1.67 × 104 1.00 × 104 0.0794 1.85 × 104 2.00 × 104 0.159 3.70 × 104 3.00 × 104 0.238 5.56 × 104 4.00 × 104 0.318 7.41 × 104 5.00 × 104 0.397 9.26 × 104 6.00 × 104 0.476 1.11 × 105 7.00 × 104 0.556 1.30 × 105 8.00 × 104 0.635 1.48 × 105 9.00 × 104 0.714 1.67 × 105 1.00 × 105 0.794 1.85 × 105 1.60 × 105 1.27 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 50.0 0.00201 208 60.0 0.00241 250 70.0 0.00281 292 80.0 0.00321 333 90.0 0.00362 375 100 0.00402 417 200 0.00804 833 300 0.0121 1250 400 0.0161 1670 500 0.0201 2080 600 0.0241 2500 700 0.0281 2920 800 0.0321 3330 900 0.0362 3750 1000 0.0402 4170 2000 0.0804 8330 3000 0.121 1.25 × 104 4000 0.161 1.67 × 104 5000 0.201 2.08 × 104 6000 0.241 2.50 × 104 7000 0.281 2.92 × 104 8000 0.321 3.33 × 104 9000 0.362 3.75 × 104 1.00 × 104 0.402 4.17 × 104 2.00 × 104 0.804 8.33 × 104 3.00 × 104 1.21 1.25 × 105 4.00 × 104 1.61 1.67 × 105 5.00 × 104 2.01 2.08 × 105 6.00 × 104 2.41 2.50 × 105 7.00 × 104 2.81 2.92 × 105 7.13 × 104 2.86 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 50.0 0.00635 370 60.0 0.00762 444 70.0 0.00889 519 80.0 0.0102 593 90.0 0.0114 667 100 0.0127 741 200 0.0254 1480 300 0.0381 2220 400 0.0508 2960 500 0.0635 3700 600 0.0762 4440 700 0.0889 5190 800 0.102 5930 900 0.114 6670 1000 0.127 7410 2000 0.254 1.48 × 104 3000 0.381 2.22 × 104 4000 0.508 2.96 × 104 5000 0.635 3.70 × 104 6000 0.762 4.44 × 104 7000 0.889 5.19 × 104 8000 1.02 5.93 × 104 9000 1.14 6.67 × 104 1.00 × 104 1.27 7.41 × 104 2.00 × 104 2.54 1.48 × 105 3.00 × 104 3.81 2.22 × 105 4.00 × 104 5.08 2.96 × 105 4.01 × 104 5.09 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 50.0 0.0155 579 60.0 0.0186 694 70.0 0.0217 810 80.0 0.0248 926 90.0 0.0279 1040 100 0.0310 1160 200 0.0620 2310 300 0.0930 3470 400 0.124 4630 500 0.155 5790 600 0.186 6940 700 0.217 8100 800 0.248 9260 900 0.279 1.04 × 104 1000 0.310 1.16 × 104 2000 0.620 2.31 × 104 3000 0.930 3.47 × 104 4000 1.24 4.63 × 104 5000 1.55 5.79 × 104 6000 1.86 6.94 × 104 7000 2.17 8.10 × 104 8000 2.48 9.26 × 104 9000 2.79 1.04 × 105 1.00 × 104 3.10 1.16 × 105 2.00 × 104 6.20 2.31 × 105 2.57 × 104 7.96 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 50.0 0.0321 833 60.0 0.0386 1000 70.0 0.0450 1170 80.0 0.0514 1330 90.0 0.0579 1500 100 0.0643 1670 200 0.129 3330 300 0.193 5000 400 0.257 6670 500 0.321 8330 600 0.386 1.00 × 104 700 0.450 1.17 × 104 800 0.514 1.33 × 104 900 0.579 1.50 × 104 1000 0.643 1.67 × 104 2000 1.29 3.33 × 104 3000 1.93 5.00 × 104 4000 2.57 6.67 × 104 5000 3.21 8.33 × 104 6000 3.86 1.00 × 105 7000 4.50 1.17 × 105 8000 5.14 1.33 × 105 9000 5.79 1.50 × 105 1.00 × 104 6.43 1.67 × 105 1.78 × 104 11.5 2.97 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 50.0 0.102 1480 60.0 0.122 1780 70.0 0.142 2070 80.0 0.163 2370 90.0 0.183 2670 100 0.203 2960 200 0.406 5930 300 0.610 8890 400 0.813 1.19 × 104 500 1.02 1.48 × 104 600 1.22 1.78 × 104 700 1.42 2.07 × 104 800 1.63 2.37 × 104 900 1.83 2.67 × 104 1000 2.03 2.96 × 104 2000 4.06 5.93 × 104 3000 6.10 8.89 × 104 4000 8.13 1.19 × 105 5000 10.2 1.48 × 105 6000 12.2 1.78 × 105 7000 14.2 2.07 × 105 7380 15.0 2.19 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 50.0 0.248 2310 60.0 0.298 2780 70.0 0.347 3240 80.0 0.397 3700 90.0 0.447 4170 100 0.496 4630 200 0.992 9260 300 1.49 1.39 × 104 400 1.98 1.85 × 104 500 2.48 2.31 × 104 600 2.98 2.78 × 104 700 3.47 3.24 × 104 800 3.97 3.70 × 104 900 4.47 4.17 × 104 1000 4.96 4.63 × 104 2000 9.92 9.26 × 104 3000 14.9 1.39 × 105 3020 15.0 1.40 × 105
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 50.0 0.514 3330 60.0 0.617 4000 70.0 0.720 4670 80.0 0.823 5330 90.0 0.926 6000 100 1.03 6670 200 2.06 1.33 × 104 300 3.09 2.00 × 104 400 4.12 2.67 × 104 500 5.14 3.33 × 104 600 6.17 4.00 × 104 700 7.20 4.67 × 104 800 8.23 5.33 × 104 900 9.26 6.00 × 104 1000 10.3 6.67 × 104 1460 15.0 9.72 × 104
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 50.0 0.953 4540 60.0 1.14 5440 70.0 1.33 6350 80.0 1.52 7260 90.0 1.72 8170 100 1.91 9070 200 3.81 1.81 × 104 300 5.72 2.72 × 104 400 7.62 3.63 × 104 500 9.53 4.54 × 104 600 11.4 5.44 × 104 700 13.3 6.35 × 104 787 15.0 7.14 × 104
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 50.0 1.63 5930 60.0 1.95 7110 70.0 2.28 8300 80.0 2.60 9480 90.0 2.93 1.07 × 104 100 3.25 1.19 × 104 200 6.50 2.37 × 104 300 9.75 3.56 × 104 400 13.0 4.74 × 104 461 15.0 5.47 × 104
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 50.0 2.60 7500 60.0 3.12 9000 70.0 3.65 1.05 × 104 80.0 4.17 1.20 × 104 90.0 4.69 1.35 × 104 100 5.21 1.50 × 104 200 10.4 3.00 × 104 288 15.0 4.32 × 104
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 50.0 3.97 9260 60.0 4.76 1.11 × 104 70.0 5.56 1.30 × 104 80.0 6.35 1.48 × 104 90.0 7.14 1.67 × 104 100 7.94 1.85 × 104 189 15.0 3.50 × 104
 Steel I Beam: S15 × 50 (S15 inch tall × 50 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 50.0 9.69 1.45 × 104 60.0 11.6 1.74 × 104 70.0 13.6 2.03 × 104 77.4 15.0 2.24 × 104