Materials Design Center Processes Unit Conversion Formulas Mathematics
 Calculators Discussion Forum Trade Publications Directory Service
Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Learn the best principles to negotiate the salary you deserve!

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

more free publications
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S7 × 20
S Section Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in two equal spans, we compute the displacement at the middle of each span and the maximum normal stress occuring at the center support 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 (S7 inch tall × 20 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 20.0 1.13 × 10-5 22.3 30.0 1.69 × 10-5 33.4 40.0 2.26 × 10-5 44.6 50.0 2.82 × 10-5 55.7 60.0 3.39 × 10-5 66.9 70.0 3.95 × 10-5 78.0 80.0 4.52 × 10-5 89.2 90.0 5.08 × 10-5 100 100 5.64 × 10-5 111 200 1.13 × 10-4 223 300 1.69 × 10-4 334 400 2.26 × 10-4 446 500 2.82 × 10-4 557 600 3.39 × 10-4 669 700 3.95 × 10-4 780 800 4.52 × 10-4 892 900 5.08 × 10-4 1000 1000 5.64 × 10-4 1110 2000 0.00113 2230 3000 0.00169 3340 4000 0.00226 4460 5000 0.00282 5570 6000 0.00339 6690 7000 0.00395 7800 8000 0.00452 8920 9000 0.00508 1.00 × 104 1.00 × 104 0.00564 1.11 × 104 2.00 × 104 0.0113 2.23 × 104 3.00 × 104 0.0169 3.34 × 104 4.00 × 104 0.0226 4.46 × 104 5.00 × 104 0.0282 5.57 × 104 6.00 × 104 0.0339 6.69 × 104 7.00 × 104 0.0395 7.80 × 104 8.00 × 104 0.0452 8.92 × 104 9.00 × 104 0.0508 1.00 × 105 1.00 × 105 0.0564 1.11 × 105 2.00 × 105 0.113 2.23 × 105 2.67 × 105 0.150 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 20.0 8.71 × 10-5 61.9 30.0 1.31 × 10-4 92.9 40.0 1.74 × 10-4 124 50.0 2.18 × 10-4 155 60.0 2.61 × 10-4 186 70.0 3.05 × 10-4 217 80.0 3.48 × 10-4 248 90.0 3.92 × 10-4 279 100 4.36 × 10-4 310 200 8.71 × 10-4 619 300 0.00131 929 400 0.00174 1240 500 0.00218 1550 600 0.00261 1860 700 0.00305 2170 800 0.00348 2480 900 0.00392 2790 1000 0.00436 3100 2000 0.00871 6190 3000 0.0131 9290 4000 0.0174 1.24 × 104 5000 0.0218 1.55 × 104 6000 0.0261 1.86 × 104 7000 0.0305 2.17 × 104 8000 0.0348 2.48 × 104 9000 0.0392 2.79 × 104 1.00 × 104 0.0436 3.10 × 104 2.00 × 104 0.0871 6.19 × 104 3.00 × 104 0.131 9.29 × 104 4.00 × 104 0.174 1.24 × 105 5.00 × 104 0.218 1.55 × 105 6.00 × 104 0.261 1.86 × 105 7.00 × 104 0.305 2.17 × 105 8.00 × 104 0.348 2.48 × 105 9.00 × 104 0.392 2.79 × 105 9.60 × 104 0.418 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 20.0 0.00139 248 30.0 0.00209 371 40.0 0.00279 495 50.0 0.00348 619 60.0 0.00418 743 70.0 0.00488 867 80.0 0.00558 991 90.0 0.00627 1110 100 0.00697 1240 200 0.0139 2480 300 0.0209 3710 400 0.0279 4950 500 0.0348 6190 600 0.0418 7430 700 0.0488 8670 800 0.0558 9910 900 0.0627 1.11 × 104 1000 0.0697 1.24 × 104 2000 0.139 2.48 × 104 3000 0.209 3.71 × 104 4000 0.279 4.95 × 104 5000 0.348 6.19 × 104 6000 0.418 7.43 × 104 7000 0.488 8.67 × 104 8000 0.558 9.91 × 104 9000 0.627 1.11 × 105 1.00 × 104 0.697 1.24 × 105 2.00 × 104 1.39 2.48 × 105 2.40 × 104 1.67 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 20.0 0.00706 557 30.0 0.0106 836 40.0 0.0141 1110 50.0 0.0176 1390 60.0 0.0212 1670 70.0 0.0247 1950 80.0 0.0282 2230 90.0 0.0318 2510 100 0.0353 2790 200 0.0706 5570 300 0.106 8360 400 0.141 1.11 × 104 500 0.176 1.39 × 104 600 0.212 1.67 × 104 700 0.247 1.95 × 104 800 0.282 2.23 × 104 900 0.318 2.51 × 104 1000 0.353 2.79 × 104 2000 0.706 5.57 × 104 3000 1.06 8.36 × 104 4000 1.41 1.11 × 105 5000 1.76 1.39 × 105 6000 2.12 1.67 × 105 7000 2.47 1.95 × 105 8000 2.82 2.23 × 105 9000 3.18 2.51 × 105 1.00 × 104 3.53 2.79 × 105 1.07 × 104 3.76 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 20.0 0.0223 991 30.0 0.0335 1490 40.0 0.0446 1980 50.0 0.0558 2480 60.0 0.0669 2970 70.0 0.0781 3470 80.0 0.0892 3960 90.0 0.100 4460 100 0.112 4950 200 0.223 9910 300 0.335 1.49 × 104 400 0.446 1.98 × 104 500 0.558 2.48 × 104 600 0.669 2.97 × 104 700 0.781 3.47 × 104 800 0.892 3.96 × 104 900 1.00 4.46 × 104 1000 1.12 4.95 × 104 2000 2.23 9.91 × 104 3000 3.35 1.49 × 105 4000 4.46 1.98 × 105 5000 5.58 2.48 × 105 6000 6.69 2.97 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 20.0 0.0544 1550 30.0 0.0817 2320 40.0 0.109 3100 50.0 0.136 3870 60.0 0.163 4640 70.0 0.191 5420 80.0 0.218 6190 90.0 0.245 6960 100 0.272 7740 200 0.544 1.55 × 104 300 0.817 2.32 × 104 400 1.09 3.10 × 104 500 1.36 3.87 × 104 600 1.63 4.64 × 104 700 1.91 5.42 × 104 800 2.18 6.19 × 104 900 2.45 6.96 × 104 1000 2.72 7.74 × 104 2000 5.44 1.55 × 105 2570 7.00 1.99 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 20.0 0.113 2230 30.0 0.169 3340 40.0 0.226 4460 50.0 0.282 5570 60.0 0.339 6690 70.0 0.395 7800 80.0 0.452 8920 90.0 0.508 1.00 × 104 100 0.564 1.11 × 104 200 1.13 2.23 × 104 300 1.69 3.34 × 104 400 2.26 4.46 × 104 500 2.82 5.57 × 104 600 3.39 6.69 × 104 700 3.95 7.80 × 104 800 4.52 8.92 × 104 900 5.08 1.00 × 105 1000 5.64 1.11 × 105 1240 7.00 1.38 × 105
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 20.0 0.357 3960 30.0 0.535 5940 40.0 0.714 7920 50.0 0.892 9910 60.0 1.07 1.19 × 104 70.0 1.25 1.39 × 104 80.0 1.43 1.58 × 104 90.0 1.61 1.78 × 104 100 1.78 1.98 × 104 200 3.57 3.96 × 104 300 5.35 5.94 × 104 392 7.00 7.77 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 20.0 0.871 6190 30.0 1.31 9290 40.0 1.74 1.24 × 104 50.0 2.18 1.55 × 104 60.0 2.61 1.86 × 104 70.0 3.05 2.17 × 104 80.0 3.48 2.48 × 104 90.0 3.92 2.79 × 104 100 4.36 3.10 × 104 161 7.00 4.97 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 20.0 1.81 8920 30.0 2.71 1.34 × 104 40.0 3.61 1.78 × 104 50.0 4.52 2.23 × 104 60.0 5.42 2.67 × 104 70.0 6.32 3.12 × 104 77.5 7.00 3.45 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 20.0 3.35 1.21 × 104 30.0 5.02 1.82 × 104 40.0 6.69 2.43 × 104 41.8 7.00 2.54 × 104
 Steel I Beam: S7 × 20 (S7 inch tall × 20 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 20.0 5.71 1.58 × 104 24.5 7.00 1.94 × 104
Related Pages
Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.