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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W6 × 12
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 = 22.1 in4) for the W6 × 12 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 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 12.0 1.70 × 10-5 17.7 20.0 2.83 × 10-5 29.5 30.0 4.24 × 10-5 44.2 40.0 5.66 × 10-5 58.9 50.0 7.07 × 10-5 73.7 60.0 8.48 × 10-5 88.4 70.0 9.90 × 10-5 103 80.0 1.13 × 10-4 118 90.0 1.27 × 10-4 133 100 1.41 × 10-4 147 200 2.83 × 10-4 295 300 4.24 × 10-4 442 400 5.66 × 10-4 589 500 7.07 × 10-4 737 600 8.48 × 10-4 884 700 9.90 × 10-4 1030 800 0.00113 1180 900 0.00127 1330 1000 0.00141 1470 2000 0.00283 2950 3000 0.00424 4420 4000 0.00566 5890 5000 0.00707 7370 6000 0.00848 8840 7000 0.00990 1.03 × 104 8000 0.0113 1.18 × 104 9000 0.0127 1.33 × 104 1.00 × 104 0.0141 1.47 × 104 2.00 × 104 0.0283 2.95 × 104 3.00 × 104 0.0424 4.42 × 104 4.00 × 104 0.0566 5.89 × 104 5.00 × 104 0.0707 7.37 × 104 6.00 × 104 0.0848 8.84 × 104 7.00 × 104 0.0990 1.03 × 105 8.00 × 104 0.113 1.18 × 105 9.00 × 104 0.127 1.33 × 105 1.00 × 105 0.141 1.47 × 105 2.00 × 105 0.283 2.95 × 105 2.02 × 105 0.285 2.97 × 105
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 12.0 1.31 × 10-4 49.1 20.0 2.18 × 10-4 81.9 30.0 3.27 × 10-4 123 40.0 4.36 × 10-4 164 50.0 5.46 × 10-4 205 60.0 6.55 × 10-4 246 70.0 7.64 × 10-4 286 80.0 8.73 × 10-4 327 90.0 9.82 × 10-4 368 100 0.00109 409 200 0.00218 819 300 0.00327 1230 400 0.00436 1640 500 0.00546 2050 600 0.00655 2460 700 0.00764 2860 800 0.00873 3270 900 0.00982 3680 1000 0.0109 4090 2000 0.0218 8190 3000 0.0327 1.23 × 104 4000 0.0436 1.64 × 104 5000 0.0546 2.05 × 104 6000 0.0655 2.46 × 104 7000 0.0764 2.86 × 104 8000 0.0873 3.27 × 104 9000 0.0982 3.68 × 104 1.00 × 104 0.109 4.09 × 104 2.00 × 104 0.218 8.19 × 104 3.00 × 104 0.327 1.23 × 105 4.00 × 104 0.436 1.64 × 105 5.00 × 104 0.546 2.05 × 105 6.00 × 104 0.655 2.46 × 105 7.00 × 104 0.764 2.86 × 105 7.26 × 104 0.792 2.97 × 105
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 12.0 0.00209 196 20.0 0.00349 327 30.0 0.00524 491 40.0 0.00698 655 50.0 0.00873 819 60.0 0.0105 982 70.0 0.0122 1150 80.0 0.0140 1310 90.0 0.0157 1470 100 0.0175 1640 200 0.0349 3270 300 0.0524 4910 400 0.0698 6550 500 0.0873 8190 600 0.105 9820 700 0.122 1.15 × 104 800 0.140 1.31 × 104 900 0.157 1.47 × 104 1000 0.175 1.64 × 104 2000 0.349 3.27 × 104 3000 0.524 4.91 × 104 4000 0.698 6.55 × 104 5000 0.873 8.19 × 104 6000 1.05 9.82 × 104 7000 1.22 1.15 × 105 8000 1.40 1.31 × 105 9000 1.57 1.47 × 105 1.00 × 104 1.75 1.64 × 105 1.81 × 104 3.17 2.97 × 105
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 12.0 0.0106 442 20.0 0.0177 737 30.0 0.0265 1110 40.0 0.0353 1470 50.0 0.0442 1840 60.0 0.0530 2210 70.0 0.0619 2580 80.0 0.0707 2950 90.0 0.0795 3320 100 0.0884 3680 200 0.177 7370 300 0.265 1.11 × 104 400 0.353 1.47 × 104 500 0.442 1.84 × 104 600 0.530 2.21 × 104 700 0.619 2.58 × 104 800 0.707 2.95 × 104 900 0.795 3.32 × 104 1000 0.884 3.68 × 104 2000 1.77 7.37 × 104 3000 2.65 1.11 × 105 4000 3.53 1.47 × 105 5000 4.42 1.84 × 105 6000 5.30 2.21 × 105 6820 6.03 2.51 × 105
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 12.0 0.0335 786 20.0 0.0559 1310 30.0 0.0838 1960 40.0 0.112 2620 50.0 0.140 3270 60.0 0.168 3930 70.0 0.196 4580 80.0 0.223 5240 90.0 0.251 5890 100 0.279 6550 200 0.559 1.31 × 104 300 0.838 1.96 × 104 400 1.12 2.62 × 104 500 1.40 3.27 × 104 600 1.68 3.93 × 104 700 1.96 4.58 × 104 800 2.23 5.24 × 104 900 2.51 5.89 × 104 1000 2.79 6.55 × 104 2000 5.59 1.31 × 105 2160 6.03 1.41 × 105
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 12.0 0.0818 1230 20.0 0.136 2050 30.0 0.205 3070 40.0 0.273 4090 50.0 0.341 5120 60.0 0.409 6140 70.0 0.477 7160 80.0 0.546 8190 90.0 0.614 9210 100 0.682 1.02 × 104 200 1.36 2.05 × 104 300 2.05 3.07 × 104 400 2.73 4.09 × 104 500 3.41 5.12 × 104 600 4.09 6.14 × 104 700 4.77 7.16 × 104 800 5.46 8.19 × 104 884 6.03 9.05 × 104
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 12.0 0.170 1770 20.0 0.283 2950 30.0 0.424 4420 40.0 0.566 5890 50.0 0.707 7370 60.0 0.848 8840 70.0 0.990 1.03 × 104 80.0 1.13 1.18 × 104 90.0 1.27 1.33 × 104 100 1.41 1.47 × 104 200 2.83 2.95 × 104 300 4.24 4.42 × 104 400 5.66 5.89 × 104 426 6.03 6.28 × 104
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 12.0 0.536 3140 20.0 0.894 5240 30.0 1.34 7860 40.0 1.79 1.05 × 104 50.0 2.23 1.31 × 104 60.0 2.68 1.57 × 104 70.0 3.13 1.83 × 104 80.0 3.58 2.10 × 104 90.0 4.02 2.36 × 104 100 4.47 2.62 × 104 135 6.03 3.53 × 104
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 12.0 1.31 4910 20.0 2.18 8190 30.0 3.27 1.23 × 104 40.0 4.36 1.64 × 104 50.0 5.46 2.05 × 104 55.3 6.03 2.26 × 104
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 12.0 2.71 7070 20.0 4.52 1.18 × 104 26.7 6.03 1.57 × 104
 Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 12.0 5.03 9630 14.4 6.03 1.15 × 104