Wide Flange Steel I Beam: W8 × 13

 FREE Publications Photonics Spectra World Pumps Filtration+Separation Industrial Laser Engineered Systems Vision Systems Design LEDs Magazine Chemical Engineering more
 Materials Design Processes Units Formulas Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W8 × 13
Wide Flange 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 = 39.6 in4) for the W8 × 13 Wide Flange 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: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 13.0 9.50 × 10-6 15.2 20.0 1.46 × 10-5 23.3 30.0 2.19 × 10-5 35.0 40.0 2.92 × 10-5 46.7 50.0 3.66 × 10-5 58.3 60.0 4.39 × 10-5 70.0 70.0 5.12 × 10-5 81.7 80.0 5.85 × 10-5 93.4 90.0 6.58 × 10-5 105 100 7.31 × 10-5 117 200 1.46 × 10-4 233 300 2.19 × 10-4 350 400 2.92 × 10-4 467 500 3.66 × 10-4 583 600 4.39 × 10-4 700 700 5.12 × 10-4 817 800 5.85 × 10-4 934 900 6.58 × 10-4 1050 1000 7.31 × 10-4 1170 2000 0.00146 2330 3000 0.00219 3500 4000 0.00292 4670 5000 0.00366 5830 6000 0.00439 7000 7000 0.00512 8170 8000 0.00585 9340 9000 0.00658 1.05 × 104 1.00 × 104 0.00731 1.17 × 104 2.00 × 104 0.0146 2.33 × 104 3.00 × 104 0.0219 3.50 × 104 4.00 × 104 0.0292 4.67 × 104 5.00 × 104 0.0366 5.83 × 104 6.00 × 104 0.0439 7.00 × 104 7.00 × 104 0.0512 8.17 × 104 8.00 × 104 0.0585 9.34 × 104 9.00 × 104 0.0658 1.05 × 105 1.00 × 105 0.0731 1.17 × 105 2.00 × 105 0.146 2.33 × 105 2.55 × 105 0.186 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 13.0 7.33 × 10-5 42.1 20.0 1.13 × 10-4 64.8 30.0 1.69 × 10-4 97.2 40.0 2.26 × 10-4 130 50.0 2.82 × 10-4 162 60.0 3.38 × 10-4 194 70.0 3.95 × 10-4 227 80.0 4.51 × 10-4 259 90.0 5.08 × 10-4 292 100 5.64 × 10-4 324 200 0.00113 648 300 0.00169 972 400 0.00226 1300 500 0.00282 1620 600 0.00338 1940 700 0.00395 2270 800 0.00451 2590 900 0.00508 2920 1000 0.00564 3240 2000 0.0113 6480 3000 0.0169 9720 4000 0.0226 1.30 × 104 5000 0.0282 1.62 × 104 6000 0.0338 1.94 × 104 7000 0.0395 2.27 × 104 8000 0.0451 2.59 × 104 9000 0.0508 2.92 × 104 1.00 × 104 0.0564 3.24 × 104 2.00 × 104 0.113 6.48 × 104 3.00 × 104 0.169 9.72 × 104 4.00 × 104 0.226 1.30 × 105 5.00 × 104 0.282 1.62 × 105 6.00 × 104 0.338 1.94 × 105 7.00 × 104 0.395 2.27 × 105 8.00 × 104 0.451 2.59 × 105 9.00 × 104 0.508 2.92 × 105 9.16 × 104 0.517 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 13.0 0.00117 169 20.0 0.00181 259 30.0 0.00271 389 40.0 0.00361 519 50.0 0.00451 648 60.0 0.00542 778 70.0 0.00632 908 80.0 0.00722 1040 90.0 0.00812 1170 100 0.00903 1300 200 0.0181 2590 300 0.0271 3890 400 0.0361 5190 500 0.0451 6480 600 0.0542 7780 700 0.0632 9080 800 0.0722 1.04 × 104 900 0.0812 1.17 × 104 1000 0.0903 1.30 × 104 2000 0.181 2.59 × 104 3000 0.271 3.89 × 104 4000 0.361 5.19 × 104 5000 0.451 6.48 × 104 6000 0.542 7.78 × 104 7000 0.632 9.08 × 104 8000 0.722 1.04 × 105 9000 0.812 1.17 × 105 1.00 × 104 0.903 1.30 × 105 2.00 × 104 1.81 2.59 × 105 2.29 × 104 2.07 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 13.0 0.00594 379 20.0 0.00914 583 30.0 0.0137 875 40.0 0.0183 1170 50.0 0.0228 1460 60.0 0.0274 1750 70.0 0.0320 2040 80.0 0.0366 2330 90.0 0.0411 2630 100 0.0457 2920 200 0.0914 5830 300 0.137 8750 400 0.183 1.17 × 104 500 0.228 1.46 × 104 600 0.274 1.75 × 104 700 0.320 2.04 × 104 800 0.366 2.33 × 104 900 0.411 2.63 × 104 1000 0.457 2.92 × 104 2000 0.914 5.83 × 104 3000 1.37 8.75 × 104 4000 1.83 1.17 × 105 5000 2.28 1.46 × 105 6000 2.74 1.75 × 105 7000 3.20 2.04 × 105 8000 3.66 2.33 × 105 9000 4.11 2.63 × 105 1.00 × 104 4.57 2.92 × 105 1.02 × 104 4.65 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 13.0 0.0188 674 20.0 0.0289 1040 30.0 0.0433 1560 40.0 0.0578 2070 50.0 0.0722 2590 60.0 0.0866 3110 70.0 0.101 3630 80.0 0.116 4150 90.0 0.130 4670 100 0.144 5190 200 0.289 1.04 × 104 300 0.433 1.56 × 104 400 0.578 2.07 × 104 500 0.722 2.59 × 104 600 0.866 3.11 × 104 700 1.01 3.63 × 104 800 1.16 4.15 × 104 900 1.30 4.67 × 104 1000 1.44 5.19 × 104 2000 2.89 1.04 × 105 3000 4.33 1.56 × 105 4000 5.78 2.07 × 105 5000 7.22 2.59 × 105 5730 8.27 2.97 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.0458 1050 20.0 0.0705 1620 30.0 0.106 2430 40.0 0.141 3240 50.0 0.176 4050 60.0 0.212 4860 70.0 0.247 5670 80.0 0.282 6480 90.0 0.317 7290 100 0.353 8100 200 0.705 1.62 × 104 300 1.06 2.43 × 104 400 1.41 3.24 × 104 500 1.76 4.05 × 104 600 2.12 4.86 × 104 700 2.47 5.67 × 104 800 2.82 6.48 × 104 900 3.17 7.29 × 104 1000 3.53 8.10 × 104 2000 7.05 1.62 × 105 2270 7.99 1.84 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.0950 1520 20.0 0.146 2330 30.0 0.219 3500 40.0 0.292 4670 50.0 0.366 5830 60.0 0.439 7000 70.0 0.512 8170 80.0 0.585 9340 90.0 0.658 1.05 × 104 100 0.731 1.17 × 104 200 1.46 2.33 × 104 300 2.19 3.50 × 104 400 2.92 4.67 × 104 500 3.66 5.83 × 104 600 4.39 7.00 × 104 700 5.12 8.17 × 104 800 5.85 9.34 × 104 900 6.58 1.05 × 105 1000 7.31 1.17 × 105 1090 7.99 1.28 × 105
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 0.300 2700 20.0 0.462 4150 30.0 0.693 6220 40.0 0.924 8300 50.0 1.16 1.04 × 104 60.0 1.39 1.24 × 104 70.0 1.62 1.45 × 104 80.0 1.85 1.66 × 104 90.0 2.08 1.87 × 104 100 2.31 2.07 × 104 200 4.62 4.15 × 104 300 6.93 6.22 × 104 346 7.99 7.17 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 13.0 0.733 4210 20.0 1.13 6480 30.0 1.69 9720 40.0 2.26 1.30 × 104 50.0 2.82 1.62 × 104 60.0 3.38 1.94 × 104 70.0 3.95 2.27 × 104 80.0 4.51 2.59 × 104 90.0 5.08 2.92 × 104 100 5.64 3.24 × 104 142 7.99 4.59 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 13.0 1.52 6070 20.0 2.34 9340 30.0 3.51 1.40 × 104 40.0 4.68 1.87 × 104 50.0 5.85 2.33 × 104 60.0 7.02 2.80 × 104 68.3 7.99 3.19 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 13.0 2.82 8260 20.0 4.33 1.27 × 104 30.0 6.50 1.91 × 104 36.9 7.99 2.34 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 13.0 4.81 1.08 × 104 20.0 7.39 1.66 × 104 21.6 7.99 1.79 × 104
 Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 13.0 7.70 1.37 × 104 13.5 7.99 1.42 × 104