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Wide Flange Steel I Beam: W6 × 9
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W6 × 9
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 = 16.4 in4) for the W6 × 9 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 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 1.71 × 10-5 17.5
10.0 1.91 × 10-5 19.4
20.0 3.81 × 10-5 38.9
30.0 5.72 × 10-5 58.3
40.0 7.62 × 10-5 77.7
50.0 9.53 × 10-5 97.1
60.0 1.14 × 10-4 117
70.0 1.33 × 10-4 136
80.0 1.52 × 10-4 155
90.0 1.71 × 10-4 175
100 1.91 × 10-4 194
200 3.81 × 10-4 389
300 5.72 × 10-4 583
400 7.62 × 10-4 777
500 9.53 × 10-4 971
600 0.00114 1170
700 0.00133 1360
800 0.00152 1550
900 0.00171 1750
1000 0.00191 1940
2000 0.00381 3890
3000 0.00572 5830
4000 0.00762 7770
5000 0.00953 9710
6000 0.0114 1.17 × 104
7000 0.0133 1.36 × 104
8000 0.0152 1.55 × 104
9000 0.0171 1.75 × 104
1.00 × 104 0.0191 1.94 × 104
2.00 × 104 0.0381 3.89 × 104
3.00 × 104 0.0572 5.83 × 104
4.00 × 104 0.0762 7.77 × 104
5.00 × 104 0.0953 9.71 × 104
6.00 × 104 0.114 1.17 × 105
7.00 × 104 0.133 1.36 × 105
8.00 × 104 0.152 1.55 × 105
9.00 × 104 0.171 1.75 × 105
1.00 × 105 0.191 1.94 × 105
1.53 × 105 0.291 2.97 × 105
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 1.32 × 10-4 48.6
10.0 1.47 × 10-4 54.0
20.0 2.94 × 10-4 108
30.0 4.41 × 10-4 162
40.0 5.88 × 10-4 216
50.0 7.35 × 10-4 270
60.0 8.82 × 10-4 324
70.0 0.00103 378
80.0 0.00118 432
90.0 0.00132 486
100 0.00147 540
200 0.00294 1080
300 0.00441 1620
400 0.00588 2160
500 0.00735 2700
600 0.00882 3240
700 0.0103 3780
800 0.0118 4320
900 0.0132 4860
1000 0.0147 5400
2000 0.0294 1.08 × 104
3000 0.0441 1.62 × 104
4000 0.0588 2.16 × 104
5000 0.0735 2.70 × 104
6000 0.0882 3.24 × 104
7000 0.103 3.78 × 104
8000 0.118 4.32 × 104
9000 0.132 4.86 × 104
1.00 × 104 0.147 5.40 × 104
2.00 × 104 0.294 1.08 × 105
3.00 × 104 0.441 1.62 × 105
4.00 × 104 0.588 2.16 × 105
5.00 × 104 0.735 2.70 × 105
5.50 × 104 0.809 2.97 × 105
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.00212 194
10.0 0.00235 216
20.0 0.00470 432
30.0 0.00706 648
40.0 0.00941 863
50.0 0.0118 1080
60.0 0.0141 1300
70.0 0.0165 1510
80.0 0.0188 1730
90.0 0.0212 1940
100 0.0235 2160
200 0.0470 4320
300 0.0706 6480
400 0.0941 8630
500 0.118 1.08 × 104
600 0.141 1.30 × 104
700 0.165 1.51 × 104
800 0.188 1.73 × 104
900 0.212 1.94 × 104
1000 0.235 2.16 × 104
2000 0.470 4.32 × 104
3000 0.706 6.48 × 104
4000 0.941 8.63 × 104
5000 1.18 1.08 × 105
6000 1.41 1.30 × 105
7000 1.65 1.51 × 105
8000 1.88 1.73 × 105
9000 2.12 1.94 × 105
1.00 × 104 2.35 2.16 × 105
1.38 × 104 3.24 2.97 × 105
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.0107 437
10.0 0.0119 486
20.0 0.0238 971
30.0 0.0357 1460
40.0 0.0476 1940
50.0 0.0595 2430
60.0 0.0715 2910
70.0 0.0834 3400
80.0 0.0953 3890
90.0 0.107 4370
100 0.119 4860
200 0.238 9710
300 0.357 1.46 × 104
400 0.476 1.94 × 104
500 0.595 2.43 × 104
600 0.715 2.91 × 104
700 0.834 3.40 × 104
800 0.953 3.89 × 104
900 1.07 4.37 × 104
1000 1.19 4.86 × 104
2000 2.38 9.71 × 104
3000 3.57 1.46 × 105
4000 4.76 1.94 × 105
4950 5.90 2.41 × 105
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.0339 777
10.0 0.0376 863
20.0 0.0753 1730
30.0 0.113 2590
40.0 0.151 3450
50.0 0.188 4320
60.0 0.226 5180
70.0 0.263 6040
80.0 0.301 6910
90.0 0.339 7770
100 0.376 8630
200 0.753 1.73 × 104
300 1.13 2.59 × 104
400 1.51 3.45 × 104
500 1.88 4.32 × 104
600 2.26 5.18 × 104
700 2.63 6.04 × 104
800 3.01 6.91 × 104
900 3.39 7.77 × 104
1000 3.76 8.63 × 104
1570 5.90 1.35 × 105
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.0827 1210
10.0 0.0919 1350
20.0 0.184 2700
30.0 0.276 4050
40.0 0.368 5400
50.0 0.459 6750
60.0 0.551 8090
70.0 0.643 9440
80.0 0.735 1.08 × 104
90.0 0.827 1.21 × 104
100 0.919 1.35 × 104
200 1.84 2.70 × 104
300 2.76 4.05 × 104
400 3.68 5.40 × 104
500 4.59 6.75 × 104
600 5.51 8.09 × 104
642 5.90 8.66 × 104
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.171 1750
10.0 0.191 1940
20.0 0.381 3890
30.0 0.572 5830
40.0 0.762 7770
50.0 0.953 9710
60.0 1.14 1.17 × 104
70.0 1.33 1.36 × 104
80.0 1.52 1.55 × 104
90.0 1.71 1.75 × 104
100 1.91 1.94 × 104
200 3.81 3.89 × 104
300 5.72 5.83 × 104
310 5.90 6.02 × 104
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 0.542 3110
10.0 0.602 3450
20.0 1.20 6910
30.0 1.81 1.04 × 104
40.0 2.41 1.38 × 104
50.0 3.01 1.73 × 104
60.0 3.61 2.07 × 104
70.0 4.22 2.42 × 104
80.0 4.82 2.76 × 104
90.0 5.42 3.11 × 104
98.0 5.90 3.38 × 104
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 1.32 4860
10.0 1.47 5400
20.0 2.94 1.08 × 104
30.0 4.41 1.62 × 104
40.0 5.88 2.16 × 104
40.1 5.90 2.17 × 104
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 2.74 6990
10.0 3.05 7770
19.4 5.90 1.50 × 104
Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
9.00 5.08 9520
10.0 5.65 1.06 × 104
10.4 5.90 1.10 × 104
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