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Wide Flange Steel I Beam: W6 × 20
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third span and the maximum normal stress stress_max occuring at the second and third 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
   
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 1.51 × 10-5 16.2
30.0 2.26 × 10-5 24.3
40.0 3.02 × 10-5 32.3
50.0 3.77 × 10-5 40.4
60.0 4.53 × 10-5 48.5
70.0 5.28 × 10-5 56.6
80.0 6.04 × 10-5 64.7
90.0 6.79 × 10-5 72.8
100 7.55 × 10-5 80.9
200 1.51 × 10-4 162
300 2.26 × 10-4 243
400 3.02 × 10-4 323
500 3.77 × 10-4 404
600 4.53 × 10-4 485
700 5.28 × 10-4 566
800 6.04 × 10-4 647
900 6.79 × 10-4 728
1000 7.55 × 10-4 809
2000 0.00151 1620
3000 0.00226 2430
4000 0.00302 3230
5000 0.00377 4040
6000 0.00453 4850
7000 0.00528 5660
8000 0.00604 6470
9000 0.00679 7280
1.00 × 104 0.00755 8090
2.00 × 104 0.0151 1.62 × 104
3.00 × 104 0.0226 2.43 × 104
4.00 × 104 0.0302 3.23 × 104
5.00 × 104 0.0377 4.04 × 104
6.00 × 104 0.0453 4.85 × 104
7.00 × 104 0.0528 5.66 × 104
8.00 × 104 0.0604 6.47 × 104
9.00 × 104 0.0679 7.28 × 104
1.00 × 105 0.0755 8.09 × 104
2.00 × 105 0.151 1.62 × 105
3.00 × 105 0.226 2.43 × 105
3.67 × 105 0.277 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 1.16 × 10-4 44.9
30.0 1.75 × 10-4 67.4
40.0 2.33 × 10-4 89.9
50.0 2.91 × 10-4 112
60.0 3.49 × 10-4 135
70.0 4.08 × 10-4 157
80.0 4.66 × 10-4 180
90.0 5.24 × 10-4 202
100 5.82 × 10-4 225
200 0.00116 449
300 0.00175 674
400 0.00233 899
500 0.00291 1120
600 0.00349 1350
700 0.00408 1570
800 0.00466 1800
900 0.00524 2020
1000 0.00582 2250
2000 0.0116 4490
3000 0.0175 6740
4000 0.0233 8990
5000 0.0291 1.12 × 104
6000 0.0349 1.35 × 104
7000 0.0408 1.57 × 104
8000 0.0466 1.80 × 104
9000 0.0524 2.02 × 104
1.00 × 104 0.0582 2.25 × 104
2.00 × 104 0.116 4.49 × 104
3.00 × 104 0.175 6.74 × 104
4.00 × 104 0.233 8.99 × 104
5.00 × 104 0.291 1.12 × 105
6.00 × 104 0.349 1.35 × 105
7.00 × 104 0.408 1.57 × 105
8.00 × 104 0.466 1.80 × 105
9.00 × 104 0.524 2.02 × 105
1.00 × 105 0.582 2.25 × 105
1.32 × 105 0.770 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 0.00186 180
30.0 0.00280 270
40.0 0.00373 359
50.0 0.00466 449
60.0 0.00559 539
70.0 0.00652 629
80.0 0.00745 719
90.0 0.00839 809
100 0.00932 899
200 0.0186 1800
300 0.0280 2700
400 0.0373 3590
500 0.0466 4490
600 0.0559 5390
700 0.0652 6290
800 0.0745 7190
900 0.0839 8090
1000 0.0932 8990
2000 0.186 1.80 × 104
3000 0.280 2.70 × 104
4000 0.373 3.59 × 104
5000 0.466 4.49 × 104
6000 0.559 5.39 × 104
7000 0.652 6.29 × 104
8000 0.745 7.19 × 104
9000 0.839 8.09 × 104
1.00 × 104 0.932 8.99 × 104
2.00 × 104 1.86 1.80 × 105
3.00 × 104 2.80 2.70 × 105
3.31 × 104 3.08 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 0.00944 404
30.0 0.0142 607
40.0 0.0189 809
50.0 0.0236 1010
60.0 0.0283 1210
70.0 0.0330 1420
80.0 0.0377 1620
90.0 0.0425 1820
100 0.0472 2020
200 0.0944 4040
300 0.142 6070
400 0.189 8090
500 0.236 1.01 × 104
600 0.283 1.21 × 104
700 0.330 1.42 × 104
800 0.377 1.62 × 104
900 0.425 1.82 × 104
1000 0.472 2.02 × 104
2000 0.944 4.04 × 104
3000 1.42 6.07 × 104
4000 1.89 8.09 × 104
5000 2.36 1.01 × 105
6000 2.83 1.21 × 105
7000 3.30 1.42 × 105
8000 3.77 1.62 × 105
9000 4.25 1.82 × 105
1.00 × 104 4.72 2.02 × 105
1.47 × 104 6.93 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 0.0298 719
30.0 0.0447 1080
40.0 0.0596 1440
50.0 0.0745 1800
60.0 0.0895 2160
70.0 0.104 2520
80.0 0.119 2880
90.0 0.134 3230
100 0.149 3590
200 0.298 7190
300 0.447 1.08 × 104
400 0.596 1.44 × 104
500 0.745 1.80 × 104
600 0.895 2.16 × 104
700 1.04 2.52 × 104
800 1.19 2.88 × 104
900 1.34 3.23 × 104
1000 1.49 3.59 × 104
2000 2.98 7.19 × 104
3000 4.47 1.08 × 105
4000 5.96 1.44 × 105
4160 6.20 1.49 × 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 0.0728 1120
30.0 0.109 1680
40.0 0.146 2250
50.0 0.182 2810
60.0 0.218 3370
70.0 0.255 3930
80.0 0.291 4490
90.0 0.328 5050
100 0.364 5620
200 0.728 1.12 × 104
300 1.09 1.68 × 104
400 1.46 2.25 × 104
500 1.82 2.81 × 104
600 2.18 3.37 × 104
700 2.55 3.93 × 104
800 2.91 4.49 × 104
900 3.28 5.05 × 104
1000 3.64 5.62 × 104
1700 6.20 9.57 × 104
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 0.151 1620
30.0 0.226 2430
40.0 0.302 3230
50.0 0.377 4040
60.0 0.453 4850
70.0 0.528 5660
80.0 0.604 6470
90.0 0.679 7280
100 0.755 8090
200 1.51 1.62 × 104
300 2.26 2.43 × 104
400 3.02 3.23 × 104
500 3.77 4.04 × 104
600 4.53 4.85 × 104
700 5.28 5.66 × 104
800 6.04 6.47 × 104
821 6.20 6.64 × 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 0.477 2880
30.0 0.716 4310
40.0 0.954 5750
50.0 1.19 7190
60.0 1.43 8630
70.0 1.67 1.01 × 104
80.0 1.91 1.15 × 104
90.0 2.15 1.29 × 104
100 2.39 1.44 × 104
200 4.77 2.88 × 104
260 6.20 3.74 × 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 1.16 4490
30.0 1.75 6740
40.0 2.33 8990
50.0 2.91 1.12 × 104
60.0 3.49 1.35 × 104
70.0 4.08 1.57 × 104
80.0 4.66 1.80 × 104
90.0 5.24 2.02 × 104
100 5.82 2.25 × 104
106 6.20 2.39 × 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 2.42 6470
30.0 3.62 9700
40.0 4.83 1.29 × 104
50.0 6.04 1.62 × 104
51.3 6.20 1.66 × 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 4.47 8810
27.7 6.20 1.22 × 104
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