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Wide Flange Steel I Beam: W6 × 20
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max 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 = 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 Yield 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
  
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 1.16 × 10-5 20.2
30.0 1.73 × 10-5 30.3
40.0 2.31 × 10-5 40.4
50.0 2.89 × 10-5 50.5
60.0 3.47 × 10-5 60.7
70.0 4.05 × 10-5 70.8
80.0 4.63 × 10-5 80.9
90.0 5.20 × 10-5 91.0
100 5.78 × 10-5 101
200 1.16 × 10-4 202
300 1.73 × 10-4 303
400 2.31 × 10-4 404
500 2.89 × 10-4 505
600 3.47 × 10-4 607
700 4.05 × 10-4 708
800 4.63 × 10-4 809
900 5.20 × 10-4 910
1000 5.78 × 10-4 1010
2000 0.00116 2020
3000 0.00173 3030
4000 0.00231 4040
5000 0.00289 5050
6000 0.00347 6070
7000 0.00405 7080
8000 0.00463 8090
9000 0.00520 9100
1.00 × 104 0.00578 1.01 × 104
2.00 × 104 0.0116 2.02 × 104
3.00 × 104 0.0173 3.03 × 104
4.00 × 104 0.0231 4.04 × 104
5.00 × 104 0.0289 5.05 × 104
6.00 × 104 0.0347 6.07 × 104
7.00 × 104 0.0405 7.08 × 104
8.00 × 104 0.0463 8.09 × 104
9.00 × 104 0.0520 9.10 × 104
1.00 × 105 0.0578 1.01 × 105
2.00 × 105 0.116 2.02 × 105
2.94 × 105 0.170 2.97 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 8.92 × 10-5 56.2
30.0 1.34 × 10-4 84.2
40.0 1.78 × 10-4 112
50.0 2.23 × 10-4 140
60.0 2.68 × 10-4 168
70.0 3.12 × 10-4 197
80.0 3.57 × 10-4 225
90.0 4.01 × 10-4 253
100 4.46 × 10-4 281
200 8.92 × 10-4 562
300 0.00134 842
400 0.00178 1120
500 0.00223 1400
600 0.00268 1680
700 0.00312 1970
800 0.00357 2250
900 0.00401 2530
1000 0.00446 2810
2000 0.00892 5620
3000 0.0134 8420
4000 0.0178 1.12 × 104
5000 0.0223 1.40 × 104
6000 0.0268 1.68 × 104
7000 0.0312 1.97 × 104
8000 0.0357 2.25 × 104
9000 0.0401 2.53 × 104
1.00 × 104 0.0446 2.81 × 104
2.00 × 104 0.0892 5.62 × 104
3.00 × 104 0.134 8.42 × 104
4.00 × 104 0.178 1.12 × 105
5.00 × 104 0.223 1.40 × 105
6.00 × 104 0.268 1.68 × 105
7.00 × 104 0.312 1.97 × 105
8.00 × 104 0.357 2.25 × 105
9.00 × 104 0.401 2.53 × 105
1.00 × 105 0.446 2.81 × 105
1.06 × 105 0.472 2.97 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.00143 225
30.0 0.00214 337
40.0 0.00285 449
50.0 0.00357 562
60.0 0.00428 674
70.0 0.00500 786
80.0 0.00571 899
90.0 0.00642 1010
100 0.00714 1120
200 0.0143 2250
300 0.0214 3370
400 0.0285 4490
500 0.0357 5620
600 0.0428 6740
700 0.0500 7860
800 0.0571 8990
900 0.0642 1.01 × 104
1000 0.0714 1.12 × 104
2000 0.143 2.25 × 104
3000 0.214 3.37 × 104
4000 0.285 4.49 × 104
5000 0.357 5.62 × 104
6000 0.428 6.74 × 104
7000 0.500 7.86 × 104
8000 0.571 8.99 × 104
9000 0.642 1.01 × 105
1.00 × 104 0.714 1.12 × 105
2.00 × 104 1.43 2.25 × 105
2.64 × 104 1.89 2.97 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.00723 505
30.0 0.0108 758
40.0 0.0145 1010
50.0 0.0181 1260
60.0 0.0217 1520
70.0 0.0253 1770
80.0 0.0289 2020
90.0 0.0325 2270
100 0.0361 2530
200 0.0723 5050
300 0.108 7580
400 0.145 1.01 × 104
500 0.181 1.26 × 104
600 0.217 1.52 × 104
700 0.253 1.77 × 104
800 0.289 2.02 × 104
900 0.325 2.27 × 104
1000 0.361 2.53 × 104
2000 0.723 5.05 × 104
3000 1.08 7.58 × 104
4000 1.45 1.01 × 105
5000 1.81 1.26 × 105
6000 2.17 1.52 × 105
7000 2.53 1.77 × 105
8000 2.89 2.02 × 105
9000 3.25 2.27 × 105
1.00 × 104 3.61 2.53 × 105
1.18 × 104 4.25 2.97 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.0228 899
30.0 0.0343 1350
40.0 0.0457 1800
50.0 0.0571 2250
60.0 0.0685 2700
70.0 0.0799 3140
80.0 0.0914 3590
90.0 0.103 4040
100 0.114 4490
200 0.228 8990
300 0.343 1.35 × 104
400 0.457 1.80 × 104
500 0.571 2.25 × 104
600 0.685 2.70 × 104
700 0.799 3.14 × 104
800 0.914 3.59 × 104
900 1.03 4.04 × 104
1000 1.14 4.49 × 104
2000 2.28 8.99 × 104
3000 3.43 1.35 × 105
4000 4.57 1.80 × 105
5000 5.71 2.25 × 105
5430 6.20 2.44 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.0558 1400
30.0 0.0836 2110
40.0 0.112 2810
50.0 0.139 3510
60.0 0.167 4210
70.0 0.195 4910
80.0 0.223 5620
90.0 0.251 6320
100 0.279 7020
200 0.558 1.40 × 104
300 0.836 2.11 × 104
400 1.12 2.81 × 104
500 1.39 3.51 × 104
600 1.67 4.21 × 104
700 1.95 4.91 × 104
800 2.23 5.62 × 104
900 2.51 6.32 × 104
1000 2.79 7.02 × 104
2000 5.58 1.40 × 105
2220 6.20 1.56 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.116 2020
30.0 0.173 3030
40.0 0.231 4040
50.0 0.289 5050
60.0 0.347 6070
70.0 0.405 7080
80.0 0.463 8090
90.0 0.520 9100
100 0.578 1.01 × 104
200 1.16 2.02 × 104
300 1.73 3.03 × 104
400 2.31 4.04 × 104
500 2.89 5.05 × 104
600 3.47 6.07 × 104
700 4.05 7.08 × 104
800 4.63 8.09 × 104
900 5.20 9.10 × 104
1000 5.78 1.01 × 105
1070 6.20 1.08 × 105
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.365 3590
30.0 0.548 5390
40.0 0.731 7190
50.0 0.914 8990
60.0 1.10 1.08 × 104
70.0 1.28 1.26 × 104
80.0 1.46 1.44 × 104
90.0 1.64 1.62 × 104
100 1.83 1.80 × 104
200 3.65 3.59 × 104
300 5.48 5.39 × 104
339 6.20 6.10 × 104
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 0.892 5620
30.0 1.34 8420
40.0 1.78 1.12 × 104
50.0 2.23 1.40 × 104
60.0 2.68 1.68 × 104
70.0 3.12 1.97 × 104
80.0 3.57 2.25 × 104
90.0 4.01 2.53 × 104
100 4.46 2.81 × 104
139 6.20 3.90 × 104
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 1.85 8090
30.0 2.78 1.21 × 104
40.0 3.70 1.62 × 104
50.0 4.63 2.02 × 104
60.0 5.55 2.43 × 104
67.0 6.20 2.71 × 104
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 3.43 1.10 × 104
30.0 5.14 1.65 × 104
36.2 6.20 1.99 × 104
Steel I Beam: W6 × 20 (Wide Flange 6 inch tall × 20 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
20.0 5.85 1.44 × 104
21.2 6.20 1.52 × 104
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