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Wide Flange Steel I Beam: W6 × 9
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 1.31 × 10-5 21.9
10.0 1.46 × 10-5 24.3
20.0 2.92 × 10-5 48.6
30.0 4.38 × 10-5 72.9
40.0 5.84 × 10-5 97.1
50.0 7.30 × 10-5 121
60.0 8.76 × 10-5 146
70.0 1.02 × 10-4 170
80.0 1.17 × 10-4 194
90.0 1.31 × 10-4 219
100 1.46 × 10-4 243
200 2.92 × 10-4 486
300 4.38 × 10-4 729
400 5.84 × 10-4 971
500 7.30 × 10-4 1210
600 8.76 × 10-4 1460
700 0.00102 1700
800 0.00117 1940
900 0.00131 2190
1000 0.00146 2430
2000 0.00292 4860
3000 0.00438 7290
4000 0.00584 9710
5000 0.00730 1.21 × 104
6000 0.00876 1.46 × 104
7000 0.0102 1.70 × 104
8000 0.0117 1.94 × 104
9000 0.0131 2.19 × 104
1.00 × 104 0.0146 2.43 × 104
2.00 × 104 0.0292 4.86 × 104
3.00 × 104 0.0438 7.29 × 104
4.00 × 104 0.0584 9.71 × 104
5.00 × 104 0.0730 1.21 × 105
6.00 × 104 0.0876 1.46 × 105
7.00 × 104 0.102 1.70 × 105
8.00 × 104 0.117 1.94 × 105
9.00 × 104 0.131 2.19 × 105
1.00 × 105 0.146 2.43 × 105
1.22 × 105 0.179 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 1.01 × 10-4 60.7
10.0 1.13 × 10-4 67.5
20.0 2.25 × 10-4 135
30.0 3.38 × 10-4 202
40.0 4.50 × 10-4 270
50.0 5.63 × 10-4 337
60.0 6.76 × 10-4 405
70.0 7.88 × 10-4 472
80.0 9.01 × 10-4 540
90.0 0.00101 607
100 0.00113 675
200 0.00225 1350
300 0.00338 2020
400 0.00450 2700
500 0.00563 3370
600 0.00676 4050
700 0.00788 4720
800 0.00901 5400
900 0.0101 6070
1000 0.0113 6750
2000 0.0225 1.35 × 104
3000 0.0338 2.02 × 104
4000 0.0450 2.70 × 104
5000 0.0563 3.37 × 104
6000 0.0676 4.05 × 104
7000 0.0788 4.72 × 104
8000 0.0901 5.40 × 104
9000 0.101 6.07 × 104
1.00 × 104 0.113 6.75 × 104
2.00 × 104 0.225 1.35 × 105
3.00 × 104 0.338 2.02 × 105
4.00 × 104 0.450 2.70 × 105
4.40 × 104 0.496 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 0.00162 243
10.0 0.00180 270
20.0 0.00360 540
30.0 0.00541 809
40.0 0.00721 1080
50.0 0.00901 1350
60.0 0.0108 1620
70.0 0.0126 1890
80.0 0.0144 2160
90.0 0.0162 2430
100 0.0180 2700
200 0.0360 5400
300 0.0541 8090
400 0.0721 1.08 × 104
500 0.0901 1.35 × 104
600 0.108 1.62 × 104
700 0.126 1.89 × 104
800 0.144 2.16 × 104
900 0.162 2.43 × 104
1000 0.180 2.70 × 104
2000 0.360 5.40 × 104
3000 0.541 8.09 × 104
4000 0.721 1.08 × 105
5000 0.901 1.35 × 105
6000 1.08 1.62 × 105
7000 1.26 1.89 × 105
8000 1.44 2.16 × 105
9000 1.62 2.43 × 105
1.00 × 104 1.80 2.70 × 105
1.10 × 104 1.98 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 0.00821 546
10.0 0.00912 607
20.0 0.0182 1210
30.0 0.0274 1820
40.0 0.0365 2430
50.0 0.0456 3040
60.0 0.0547 3640
70.0 0.0638 4250
80.0 0.0730 4860
90.0 0.0821 5460
100 0.0912 6070
200 0.182 1.21 × 104
300 0.274 1.82 × 104
400 0.365 2.43 × 104
500 0.456 3.04 × 104
600 0.547 3.64 × 104
700 0.638 4.25 × 104
800 0.730 4.86 × 104
900 0.821 5.46 × 104
1000 0.912 6.07 × 104
2000 1.82 1.21 × 105
3000 2.74 1.82 × 105
4000 3.65 2.43 × 105
4890 4.46 2.97 × 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 0.0259 971
10.0 0.0288 1080
20.0 0.0577 2160
30.0 0.0865 3240
40.0 0.115 4320
50.0 0.144 5400
60.0 0.173 6480
70.0 0.202 7550
80.0 0.231 8630
90.0 0.259 9710
100 0.288 1.08 × 104
200 0.577 2.16 × 104
300 0.865 3.24 × 104
400 1.15 4.32 × 104
500 1.44 5.40 × 104
600 1.73 6.48 × 104
700 2.02 7.55 × 104
800 2.31 8.63 × 104
900 2.59 9.71 × 104
1000 2.88 1.08 × 105
2000 5.77 2.16 × 105
2750 7.93 2.97 × 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 0.0633 1520
10.0 0.0704 1690
20.0 0.141 3370
30.0 0.211 5060
40.0 0.282 6750
50.0 0.352 8430
60.0 0.422 1.01 × 104
70.0 0.493 1.18 × 104
80.0 0.563 1.35 × 104
90.0 0.633 1.52 × 104
100 0.704 1.69 × 104
200 1.41 3.37 × 104
300 2.11 5.06 × 104
400 2.82 6.75 × 104
500 3.52 8.43 × 104
600 4.22 1.01 × 105
700 4.93 1.18 × 105
800 5.63 1.35 × 105
838 5.90 1.41 × 105
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 0.131 2190
10.0 0.146 2430
20.0 0.292 4860
30.0 0.438 7290
40.0 0.584 9710
50.0 0.730 1.21 × 104
60.0 0.876 1.46 × 104
70.0 1.02 1.70 × 104
80.0 1.17 1.94 × 104
90.0 1.31 2.19 × 104
100 1.46 2.43 × 104
200 2.92 4.86 × 104
300 4.38 7.29 × 104
400 5.84 9.71 × 104
404 5.90 9.82 × 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 0.415 3890
10.0 0.461 4320
20.0 0.923 8630
30.0 1.38 1.30 × 104
40.0 1.85 1.73 × 104
50.0 2.31 2.16 × 104
60.0 2.77 2.59 × 104
70.0 3.23 3.02 × 104
80.0 3.69 3.45 × 104
90.0 4.15 3.89 × 104
100 4.61 4.32 × 104
128 5.90 5.52 × 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 1.01 6070
10.0 1.13 6750
20.0 2.25 1.35 × 104
30.0 3.38 2.02 × 104
40.0 4.50 2.70 × 104
50.0 5.63 3.37 × 104
52.4 5.90 3.53 × 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 2.10 8740
10.0 2.34 9710
20.0 4.67 1.94 × 104
25.3 5.90 2.45 × 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 3.89 1.19 × 104
10.0 4.33 1.32 × 104
13.6 5.90 1.80 × 104
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