Wide Flange Steel I Beam: W12 × 40

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W12 × 40

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 310 in4) for the W12 × 40 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: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 40.0 7.72 × 10-6 10.4 50.0 9.65 × 10-6 13.0 60.0 1.16 × 10-5 15.6 70.0 1.35 × 10-5 18.2 80.0 1.54 × 10-5 20.8 90.0 1.74 × 10-5 23.4 100 1.93 × 10-5 26.0 200 3.86 × 10-5 52.0 300 5.79 × 10-5 78.0 400 7.72 × 10-5 104 500 9.65 × 10-5 130 600 1.16 × 10-4 156 700 1.35 × 10-4 182 800 1.54 × 10-4 208 900 1.74 × 10-4 234 1000 1.93 × 10-4 260 2000 3.86 × 10-4 520 3000 5.79 × 10-4 780 4000 7.72 × 10-4 1040 5000 9.65 × 10-4 1300 6000 0.00116 1560 7000 0.00135 1820 8000 0.00154 2080 9000 0.00174 2340 1.00 × 104 0.00193 2600 2.00 × 104 0.00386 5200 3.00 × 104 0.00579 7800 4.00 × 104 0.00772 1.04 × 104 5.00 × 104 0.00965 1.30 × 104 6.00 × 104 0.0116 1.56 × 104 7.00 × 104 0.0135 1.82 × 104 8.00 × 104 0.0154 2.08 × 104 9.00 × 104 0.0174 2.34 × 104 1.00 × 105 0.0193 2.60 × 104 2.00 × 105 0.0386 5.20 × 104 3.00 × 105 0.0579 7.80 × 104 4.00 × 105 0.0772 1.04 × 105 5.00 × 105 0.0965 1.30 × 105 6.00 × 105 0.116 1.56 × 105 7.00 × 105 0.135 1.82 × 105 8.00 × 105 0.154 2.08 × 105 9.00 × 105 0.174 2.34 × 105 1.00 × 106 0.193 2.60 × 105 1.14 × 106 0.221 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 40.0 5.96 × 10-5 28.9 50.0 7.45 × 10-5 36.1 60.0 8.94 × 10-5 43.3 70.0 1.04 × 10-4 50.6 80.0 1.19 × 10-4 57.8 90.0 1.34 × 10-4 65.0 100 1.49 × 10-4 72.2 200 2.98 × 10-4 144 300 4.47 × 10-4 217 400 5.96 × 10-4 289 500 7.45 × 10-4 361 600 8.94 × 10-4 433 700 0.00104 506 800 0.00119 578 900 0.00134 650 1000 0.00149 722 2000 0.00298 1440 3000 0.00447 2170 4000 0.00596 2890 5000 0.00745 3610 6000 0.00894 4330 7000 0.0104 5060 8000 0.0119 5780 9000 0.0134 6500 1.00 × 104 0.0149 7220 2.00 × 104 0.0298 1.44 × 104 3.00 × 104 0.0447 2.17 × 104 4.00 × 104 0.0596 2.89 × 104 5.00 × 104 0.0745 3.61 × 104 6.00 × 104 0.0894 4.33 × 104 7.00 × 104 0.104 5.06 × 104 8.00 × 104 0.119 5.78 × 104 9.00 × 104 0.134 6.50 × 104 1.00 × 105 0.149 7.22 × 104 2.00 × 105 0.298 1.44 × 105 3.00 × 105 0.447 2.17 × 105 4.00 × 105 0.596 2.89 × 105 4.11 × 105 0.613 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 40.0 9.53 × 10-4 116 50.0 0.00119 144 60.0 0.00143 173 70.0 0.00167 202 80.0 0.00191 231 90.0 0.00214 260 100 0.00238 289 200 0.00477 578 300 0.00715 867 400 0.00953 1160 500 0.0119 1440 600 0.0143 1730 700 0.0167 2020 800 0.0191 2310 900 0.0214 2600 1000 0.0238 2890 2000 0.0477 5780 3000 0.0715 8670 4000 0.0953 1.16 × 104 5000 0.119 1.44 × 104 6000 0.143 1.73 × 104 7000 0.167 2.02 × 104 8000 0.191 2.31 × 104 9000 0.214 2.60 × 104 1.00 × 104 0.238 2.89 × 104 2.00 × 104 0.477 5.78 × 104 3.00 × 104 0.715 8.67 × 104 4.00 × 104 0.953 1.16 × 105 5.00 × 104 1.19 1.44 × 105 6.00 × 104 1.43 1.73 × 105 7.00 × 104 1.67 2.02 × 105 8.00 × 104 1.91 2.31 × 105 9.00 × 104 2.14 2.60 × 105 1.00 × 105 2.38 2.89 × 105 1.03 × 105 2.45 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 40.0 0.00483 260 50.0 0.00603 325 60.0 0.00724 390 70.0 0.00844 455 80.0 0.00965 520 90.0 0.0109 585 100 0.0121 650 200 0.0241 1300 300 0.0362 1950 400 0.0483 2600 500 0.0603 3250 600 0.0724 3900 700 0.0844 4550 800 0.0965 5200 900 0.109 5850 1000 0.121 6500 2000 0.241 1.30 × 104 3000 0.362 1.95 × 104 4000 0.483 2.60 × 104 5000 0.603 3.25 × 104 6000 0.724 3.90 × 104 7000 0.844 4.55 × 104 8000 0.965 5.20 × 104 9000 1.09 5.85 × 104 1.00 × 104 1.21 6.50 × 104 2.00 × 104 2.41 1.30 × 105 3.00 × 104 3.62 1.95 × 105 4.00 × 104 4.83 2.60 × 105 4.57 × 104 5.51 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 40.0 0.0153 462 50.0 0.0191 578 60.0 0.0229 693 70.0 0.0267 809 80.0 0.0305 924 90.0 0.0343 1040 100 0.0381 1160 200 0.0763 2310 300 0.114 3470 400 0.153 4620 500 0.191 5780 600 0.229 6930 700 0.267 8090 800 0.305 9240 900 0.343 1.04 × 104 1000 0.381 1.16 × 104 2000 0.763 2.31 × 104 3000 1.14 3.47 × 104 4000 1.53 4.62 × 104 5000 1.91 5.78 × 104 6000 2.29 6.93 × 104 7000 2.67 8.09 × 104 8000 3.05 9.24 × 104 9000 3.43 1.04 × 105 1.00 × 104 3.81 1.16 × 105 2.00 × 104 7.63 2.31 × 105 2.57 × 104 9.80 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 40.0 0.0372 722 50.0 0.0465 903 60.0 0.0559 1080 70.0 0.0652 1260 80.0 0.0745 1440 90.0 0.0838 1620 100 0.0931 1810 200 0.186 3610 300 0.279 5420 400 0.372 7220 500 0.465 9030 600 0.559 1.08 × 104 700 0.652 1.26 × 104 800 0.745 1.44 × 104 900 0.838 1.62 × 104 1000 0.931 1.81 × 104 2000 1.86 3.61 × 104 3000 2.79 5.42 × 104 4000 3.72 7.22 × 104 5000 4.65 9.03 × 104 6000 5.59 1.08 × 105 7000 6.52 1.26 × 105 8000 7.45 1.44 × 105 9000 8.38 1.62 × 105 1.00 × 104 9.31 1.81 × 105 1.65 × 104 15.3 2.97 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 40.0 0.0772 1040 50.0 0.0965 1300 60.0 0.116 1560 70.0 0.135 1820 80.0 0.154 2080 90.0 0.174 2340 100 0.193 2600 200 0.386 5200 300 0.579 7800 400 0.772 1.04 × 104 500 0.965 1.30 × 104 600 1.16 1.56 × 104 700 1.35 1.82 × 104 800 1.54 2.08 × 104 900 1.74 2.34 × 104 1000 1.93 2.60 × 104 2000 3.86 5.20 × 104 3000 5.79 7.80 × 104 4000 7.72 1.04 × 105 5000 9.65 1.30 × 105 6000 11.6 1.56 × 105 6190 11.9 1.61 × 105
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 40.0 0.244 1850 50.0 0.305 2310 60.0 0.366 2770 70.0 0.427 3240 80.0 0.488 3700 90.0 0.549 4160 100 0.610 4620 200 1.22 9240 300 1.83 1.39 × 104 400 2.44 1.85 × 104 500 3.05 2.31 × 104 600 3.66 2.77 × 104 700 4.27 3.24 × 104 800 4.88 3.70 × 104 900 5.49 4.16 × 104 1000 6.10 4.62 × 104 1960 11.9 9.05 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.0 0.596 2890 50.0 0.745 3610 60.0 0.894 4330 70.0 1.04 5060 80.0 1.19 5780 90.0 1.34 6500 100 1.49 7220 200 2.98 1.44 × 104 300 4.47 2.17 × 104 400 5.96 2.89 × 104 500 7.45 3.61 × 104 600 8.94 4.33 × 104 700 10.4 5.06 × 104 800 11.9 5.78 × 104 802 11.9 5.79 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.0 1.24 4160 50.0 1.54 5200 60.0 1.85 6240 70.0 2.16 7280 80.0 2.47 8320 90.0 2.78 9360 100 3.09 1.04 × 104 200 6.18 2.08 × 104 300 9.27 3.12 × 104 387 11.9 4.02 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.0 2.29 5660 50.0 2.86 7080 60.0 3.43 8490 70.0 4.01 9910 80.0 4.58 1.13 × 104 90.0 5.15 1.27 × 104 100 5.72 1.42 × 104 200 11.4 2.83 × 104 209 11.9 2.95 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.0 3.90 7400 50.0 4.88 9240 60.0 5.86 1.11 × 104 70.0 6.83 1.29 × 104 80.0 7.81 1.48 × 104 90.0 8.78 1.66 × 104 100 9.76 1.85 × 104 122 11.9 2.26 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.0 6.25 9360 50.0 7.82 1.17 × 104 60.0 9.38 1.40 × 104 70.0 10.9 1.64 × 104 76.4 11.9 1.79 × 104
 Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 40.0 9.53 1.16 × 104 50.0 11.9 1.44 × 104 50.1 11.9 1.45 × 104