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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 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 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.

 Steel I Beam: W6 × 9 (Wide Flange 6 inch tall × 9 lbf/ft) L = 3.00 ft (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (psi) 9.00 5.08 9520 10.0 5.65 1.06 × 104 10.4 5.90 1.10 × 104