Wide Flange Steel I Beam: W6 × 20

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W6 × 20
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 = 41.4 in4) for the W6 × 20 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: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 20.0 1.40 × 10-5 17.3 30.0 2.10 × 10-5 26.0 40.0 2.80 × 10-5 34.6 50.0 3.50 × 10-5 43.3 60.0 4.20 × 10-5 52.0 70.0 4.90 × 10-5 60.6 80.0 5.59 × 10-5 69.3 90.0 6.29 × 10-5 78.0 100 6.99 × 10-5 86.6 200 1.40 × 10-4 173 300 2.10 × 10-4 260 400 2.80 × 10-4 346 500 3.50 × 10-4 433 600 4.20 × 10-4 520 700 4.90 × 10-4 606 800 5.59 × 10-4 693 900 6.29 × 10-4 780 1000 6.99 × 10-4 866 2000 0.00140 1730 3000 0.00210 2600 4000 0.00280 3460 5000 0.00350 4330 6000 0.00420 5200 7000 0.00490 6060 8000 0.00559 6930 9000 0.00629 7800 1.00 × 104 0.00699 8660 2.00 × 104 0.0140 1.73 × 104 3.00 × 104 0.0210 2.60 × 104 4.00 × 104 0.0280 3.46 × 104 5.00 × 104 0.0350 4.33 × 104 6.00 × 104 0.0420 5.20 × 104 7.00 × 104 0.0490 6.06 × 104 8.00 × 104 0.0559 6.93 × 104 9.00 × 104 0.0629 7.80 × 104 1.00 × 105 0.0699 8.66 × 104 2.00 × 105 0.140 1.73 × 105 3.00 × 105 0.210 2.60 × 105 3.43 × 105 0.240 2.97 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 20.0 1.08 × 10-4 48.1 30.0 1.62 × 10-4 72.2 40.0 2.16 × 10-4 96.2 50.0 2.70 × 10-4 120 60.0 3.24 × 10-4 144 70.0 3.78 × 10-4 168 80.0 4.32 × 10-4 192 90.0 4.86 × 10-4 217 100 5.40 × 10-4 241 200 0.00108 481 300 0.00162 722 400 0.00216 962 500 0.00270 1200 600 0.00324 1440 700 0.00378 1680 800 0.00432 1920 900 0.00486 2170 1000 0.00540 2410 2000 0.0108 4810 3000 0.0162 7220 4000 0.0216 9620 5000 0.0270 1.20 × 104 6000 0.0324 1.44 × 104 7000 0.0378 1.68 × 104 8000 0.0432 1.92 × 104 9000 0.0486 2.17 × 104 1.00 × 104 0.0540 2.41 × 104 2.00 × 104 0.108 4.81 × 104 3.00 × 104 0.162 7.22 × 104 4.00 × 104 0.216 9.62 × 104 5.00 × 104 0.270 1.20 × 105 6.00 × 104 0.324 1.44 × 105 7.00 × 104 0.378 1.68 × 105 8.00 × 104 0.432 1.92 × 105 9.00 × 104 0.486 2.17 × 105 1.00 × 105 0.540 2.41 × 105 1.23 × 105 0.666 2.97 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 20.0 0.00173 192 30.0 0.00259 289 40.0 0.00345 385 50.0 0.00432 481 60.0 0.00518 577 70.0 0.00604 674 80.0 0.00691 770 90.0 0.00777 866 100 0.00863 962 200 0.0173 1920 300 0.0259 2890 400 0.0345 3850 500 0.0432 4810 600 0.0518 5770 700 0.0604 6740 800 0.0691 7700 900 0.0777 8660 1000 0.0863 9620 2000 0.173 1.92 × 104 3000 0.259 2.89 × 104 4000 0.345 3.85 × 104 5000 0.432 4.81 × 104 6000 0.518 5.77 × 104 7000 0.604 6.74 × 104 8000 0.691 7.70 × 104 9000 0.777 8.66 × 104 1.00 × 104 0.863 9.62 × 104 2.00 × 104 1.73 1.92 × 105 3.00 × 104 2.59 2.89 × 105 3.09 × 104 2.66 2.97 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 20.0 0.00874 433 30.0 0.0131 650 40.0 0.0175 866 50.0 0.0219 1080 60.0 0.0262 1300 70.0 0.0306 1520 80.0 0.0350 1730 90.0 0.0393 1950 100 0.0437 2170 200 0.0874 4330 300 0.131 6500 400 0.175 8660 500 0.219 1.08 × 104 600 0.262 1.30 × 104 700 0.306 1.52 × 104 800 0.350 1.73 × 104 900 0.393 1.95 × 104 1000 0.437 2.17 × 104 2000 0.874 4.33 × 104 3000 1.31 6.50 × 104 4000 1.75 8.66 × 104 5000 2.19 1.08 × 105 6000 2.62 1.30 × 105 7000 3.06 1.52 × 105 8000 3.50 1.73 × 105 9000 3.93 1.95 × 105 1.00 × 104 4.37 2.17 × 105 1.37 × 104 6.00 2.97 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 20.0 0.0276 770 30.0 0.0414 1150 40.0 0.0553 1540 50.0 0.0691 1920 60.0 0.0829 2310 70.0 0.0967 2690 80.0 0.111 3080 90.0 0.124 3460 100 0.138 3850 200 0.276 7700 300 0.414 1.15 × 104 400 0.553 1.54 × 104 500 0.691 1.92 × 104 600 0.829 2.31 × 104 700 0.967 2.69 × 104 800 1.11 3.08 × 104 900 1.24 3.46 × 104 1000 1.38 3.85 × 104 2000 2.76 7.70 × 104 3000 4.14 1.15 × 105 4000 5.53 1.54 × 105 4490 6.20 1.73 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 20.0 0.0674 1200 30.0 0.101 1800 40.0 0.135 2410 50.0 0.169 3010 60.0 0.202 3610 70.0 0.236 4210 80.0 0.270 4810 90.0 0.304 5410 100 0.337 6010 200 0.674 1.20 × 104 300 1.01 1.80 × 104 400 1.35 2.41 × 104 500 1.69 3.01 × 104 600 2.02 3.61 × 104 700 2.36 4.21 × 104 800 2.70 4.81 × 104 900 3.04 5.41 × 104 1000 3.37 6.01 × 104 1840 6.20 1.11 × 105
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 20.0 0.140 1730 30.0 0.210 2600 40.0 0.280 3460 50.0 0.350 4330 60.0 0.420 5200 70.0 0.490 6060 80.0 0.559 6930 90.0 0.629 7800 100 0.699 8660 200 1.40 1.73 × 104 300 2.10 2.60 × 104 400 2.80 3.46 × 104 500 3.50 4.33 × 104 600 4.20 5.20 × 104 700 4.90 6.06 × 104 800 5.59 6.93 × 104 887 6.20 7.68 × 104
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 20.0 0.442 3080 30.0 0.663 4620 40.0 0.884 6160 50.0 1.11 7700 60.0 1.33 9240 70.0 1.55 1.08 × 104 80.0 1.77 1.23 × 104 90.0 1.99 1.39 × 104 100 2.21 1.54 × 104 200 4.42 3.08 × 104 281 6.20 4.32 × 104
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 20.0 1.08 4810 30.0 1.62 7220 40.0 2.16 9620 50.0 2.70 1.20 × 104 60.0 3.24 1.44 × 104 70.0 3.78 1.68 × 104 80.0 4.32 1.92 × 104 90.0 4.86 2.17 × 104 100 5.40 2.41 × 104 115 6.20 2.76 × 104
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 20.0 2.24 6930 30.0 3.36 1.04 × 104 40.0 4.48 1.39 × 104 50.0 5.59 1.73 × 104 55.4 6.20 1.92 × 104
 Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 20.0 4.15 9430 29.9 6.20 1.41 × 104