S Section Steel I Beam: S7 × 20

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S7 × 20

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 42.4 in4) for the S7 × 20 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: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 20.0 2.82 × 10-5 22.3 30.0 4.23 × 10-5 33.4 40.0 5.64 × 10-5 44.6 50.0 7.06 × 10-5 55.7 60.0 8.47 × 10-5 66.9 70.0 9.88 × 10-5 78.0 80.0 1.13 × 10-4 89.2 90.0 1.27 × 10-4 100 100 1.41 × 10-4 111 200 2.82 × 10-4 223 300 4.23 × 10-4 334 400 5.64 × 10-4 446 500 7.06 × 10-4 557 600 8.47 × 10-4 669 700 9.88 × 10-4 780 800 0.00113 892 900 0.00127 1000 1000 0.00141 1110 2000 0.00282 2230 3000 0.00423 3340 4000 0.00564 4460 5000 0.00706 5570 6000 0.00847 6690 7000 0.00988 7800 8000 0.0113 8920 9000 0.0127 1.00 × 104 1.00 × 104 0.0141 1.11 × 104 2.00 × 104 0.0282 2.23 × 104 3.00 × 104 0.0423 3.34 × 104 4.00 × 104 0.0564 4.46 × 104 5.00 × 104 0.0706 5.57 × 104 6.00 × 104 0.0847 6.69 × 104 7.00 × 104 0.0988 7.80 × 104 8.00 × 104 0.113 8.92 × 104 9.00 × 104 0.127 1.00 × 105 1.00 × 105 0.141 1.11 × 105 2.00 × 105 0.282 2.23 × 105 2.67 × 105 0.376 2.97 × 105
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 20.0 2.18 × 10-4 61.9 30.0 3.27 × 10-4 92.9 40.0 4.36 × 10-4 124 50.0 5.44 × 10-4 155 60.0 6.53 × 10-4 186 70.0 7.62 × 10-4 217 80.0 8.71 × 10-4 248 90.0 9.80 × 10-4 279 100 0.00109 310 200 0.00218 619 300 0.00327 929 400 0.00436 1240 500 0.00544 1550 600 0.00653 1860 700 0.00762 2170 800 0.00871 2480 900 0.00980 2790 1000 0.0109 3100 2000 0.0218 6190 3000 0.0327 9290 4000 0.0436 1.24 × 104 5000 0.0544 1.55 × 104 6000 0.0653 1.86 × 104 7000 0.0762 2.17 × 104 8000 0.0871 2.48 × 104 9000 0.0980 2.79 × 104 1.00 × 104 0.109 3.10 × 104 2.00 × 104 0.218 6.19 × 104 3.00 × 104 0.327 9.29 × 104 4.00 × 104 0.436 1.24 × 105 5.00 × 104 0.544 1.55 × 105 6.00 × 104 0.653 1.86 × 105 7.00 × 104 0.762 2.17 × 105 8.00 × 104 0.871 2.48 × 105 9.00 × 104 0.980 2.79 × 105 9.60 × 104 1.04 2.97 × 105
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 20.0 0.00348 248 30.0 0.00523 371 40.0 0.00697 495 50.0 0.00871 619 60.0 0.0105 743 70.0 0.0122 867 80.0 0.0139 991 90.0 0.0157 1110 100 0.0174 1240 200 0.0348 2480 300 0.0523 3710 400 0.0697 4950 500 0.0871 6190 600 0.105 7430 700 0.122 8670 800 0.139 9910 900 0.157 1.11 × 104 1000 0.174 1.24 × 104 2000 0.348 2.48 × 104 3000 0.523 3.71 × 104 4000 0.697 4.95 × 104 5000 0.871 6.19 × 104 6000 1.05 7.43 × 104 7000 1.22 8.67 × 104 8000 1.39 9.91 × 104 9000 1.57 1.11 × 105 1.00 × 104 1.74 1.24 × 105 2.00 × 104 3.48 2.48 × 105 2.40 × 104 4.18 2.97 × 105
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 20.0 0.0176 557 30.0 0.0265 836 40.0 0.0353 1110 50.0 0.0441 1390 60.0 0.0529 1670 70.0 0.0617 1950 80.0 0.0706 2230 90.0 0.0794 2510 100 0.0882 2790 200 0.176 5570 300 0.265 8360 400 0.353 1.11 × 104 500 0.441 1.39 × 104 600 0.529 1.67 × 104 700 0.617 1.95 × 104 800 0.706 2.23 × 104 900 0.794 2.51 × 104 1000 0.882 2.79 × 104 2000 1.76 5.57 × 104 3000 2.65 8.36 × 104 4000 3.53 1.11 × 105 5000 4.41 1.39 × 105 6000 5.29 1.67 × 105 7000 6.17 1.95 × 105 7940 7.00 2.21 × 105
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 20.0 0.0558 991 30.0 0.0836 1490 40.0 0.112 1980 50.0 0.139 2480 60.0 0.167 2970 70.0 0.195 3470 80.0 0.223 3960 90.0 0.251 4460 100 0.279 4950 200 0.558 9910 300 0.836 1.49 × 104 400 1.12 1.98 × 104 500 1.39 2.48 × 104 600 1.67 2.97 × 104 700 1.95 3.47 × 104 800 2.23 3.96 × 104 900 2.51 4.46 × 104 1000 2.79 4.95 × 104 2000 5.58 9.91 × 104 2510 7.00 1.24 × 105
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 20.0 0.136 1550 30.0 0.204 2320 40.0 0.272 3100 50.0 0.340 3870 60.0 0.408 4640 70.0 0.476 5420 80.0 0.544 6190 90.0 0.613 6960 100 0.681 7740 200 1.36 1.55 × 104 300 2.04 2.32 × 104 400 2.72 3.10 × 104 500 3.40 3.87 × 104 600 4.08 4.64 × 104 700 4.76 5.42 × 104 800 5.44 6.19 × 104 900 6.13 6.96 × 104 1000 6.81 7.74 × 104 1030 7.00 7.96 × 104
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 20.0 0.282 2230 30.0 0.423 3340 40.0 0.564 4460 50.0 0.706 5570 60.0 0.847 6690 70.0 0.988 7800 80.0 1.13 8920 90.0 1.27 1.00 × 104 100 1.41 1.11 × 104 200 2.82 2.23 × 104 300 4.23 3.34 × 104 400 5.64 4.46 × 104 496 7.00 5.53 × 104
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 20.0 0.892 3960 30.0 1.34 5940 40.0 1.78 7920 50.0 2.23 9910 60.0 2.68 1.19 × 104 70.0 3.12 1.39 × 104 80.0 3.57 1.58 × 104 90.0 4.01 1.78 × 104 100 4.46 1.98 × 104 157 7.00 3.11 × 104
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 20.0 2.18 6190 30.0 3.27 9290 40.0 4.36 1.24 × 104 50.0 5.44 1.55 × 104 60.0 6.53 1.86 × 104 64.3 7.00 1.99 × 104
 Steel I Beam: S7 × 20 (S Section 7 inch tall × 20 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 20.0 4.52 8920 30.0 6.77 1.34 × 104 31.0 7.00 1.38 × 104