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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 stress_max 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 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
  
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 1.40 × 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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (psi)
20.0 4.15 9430
29.9 6.20 1.41 × 104
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