Wide Flange Steel I Beam: W12 × 45

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W12 × 45
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 and the maximum normal stress 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 = 350 in4) for the W12 × 45 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 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 45.0 3.08 × 10-6 10.5 50.0 3.42 × 10-6 11.6 60.0 4.10 × 10-6 14.0 70.0 4.79 × 10-6 16.3 80.0 5.47 × 10-6 18.6 90.0 6.15 × 10-6 20.9 100 6.84 × 10-6 23.3 200 1.37 × 10-5 46.5 300 2.05 × 10-5 69.8 400 2.74 × 10-5 93.0 500 3.42 × 10-5 116 600 4.10 × 10-5 140 700 4.79 × 10-5 163 800 5.47 × 10-5 186 900 6.15 × 10-5 209 1000 6.84 × 10-5 233 2000 1.37 × 10-4 465 3000 2.05 × 10-4 698 4000 2.74 × 10-4 930 5000 3.42 × 10-4 1160 6000 4.10 × 10-4 1400 7000 4.79 × 10-4 1630 8000 5.47 × 10-4 1860 9000 6.15 × 10-4 2090 1.00 × 104 6.84 × 10-4 2330 2.00 × 104 0.00137 4650 3.00 × 104 0.00205 6980 4.00 × 104 0.00274 9300 5.00 × 104 0.00342 1.16 × 104 6.00 × 104 0.00410 1.40 × 104 7.00 × 104 0.00479 1.63 × 104 8.00 × 104 0.00547 1.86 × 104 9.00 × 104 0.00615 2.09 × 104 1.00 × 105 0.00684 2.33 × 104 2.00 × 105 0.0137 4.65 × 104 3.00 × 105 0.0205 6.98 × 104 4.00 × 105 0.0274 9.30 × 104 5.00 × 105 0.0342 1.16 × 105 6.00 × 105 0.0410 1.40 × 105 7.00 × 105 0.0479 1.63 × 105 8.00 × 105 0.0547 1.86 × 105 9.00 × 105 0.0615 2.09 × 105 1.00 × 106 0.0684 2.33 × 105 1.28 × 106 0.0873 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 45.0 2.37 × 10-5 29.1 50.0 2.64 × 10-5 32.3 60.0 3.17 × 10-5 38.8 70.0 3.69 × 10-5 45.2 80.0 4.22 × 10-5 51.7 90.0 4.75 × 10-5 58.1 100 5.28 × 10-5 64.6 200 1.06 × 10-4 129 300 1.58 × 10-4 194 400 2.11 × 10-4 258 500 2.64 × 10-4 323 600 3.17 × 10-4 388 700 3.69 × 10-4 452 800 4.22 × 10-4 517 900 4.75 × 10-4 581 1000 5.28 × 10-4 646 2000 0.00106 1290 3000 0.00158 1940 4000 0.00211 2580 5000 0.00264 3230 6000 0.00317 3880 7000 0.00369 4520 8000 0.00422 5170 9000 0.00475 5810 1.00 × 104 0.00528 6460 2.00 × 104 0.0106 1.29 × 104 3.00 × 104 0.0158 1.94 × 104 4.00 × 104 0.0211 2.58 × 104 5.00 × 104 0.0264 3.23 × 104 6.00 × 104 0.0317 3.88 × 104 7.00 × 104 0.0369 4.52 × 104 8.00 × 104 0.0422 5.17 × 104 9.00 × 104 0.0475 5.81 × 104 1.00 × 105 0.0528 6.46 × 104 2.00 × 105 0.106 1.29 × 105 3.00 × 105 0.158 1.94 × 105 4.00 × 105 0.211 2.58 × 105 4.60 × 105 0.243 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 45.0 3.80 × 10-4 116 50.0 4.22 × 10-4 129 60.0 5.07 × 10-4 155 70.0 5.91 × 10-4 181 80.0 6.75 × 10-4 207 90.0 7.60 × 10-4 233 100 8.44 × 10-4 258 200 0.00169 517 300 0.00253 775 400 0.00338 1030 500 0.00422 1290 600 0.00507 1550 700 0.00591 1810 800 0.00675 2070 900 0.00760 2330 1000 0.00844 2580 2000 0.0169 5170 3000 0.0253 7750 4000 0.0338 1.03 × 104 5000 0.0422 1.29 × 104 6000 0.0507 1.55 × 104 7000 0.0591 1.81 × 104 8000 0.0675 2.07 × 104 9000 0.0760 2.33 × 104 1.00 × 104 0.0844 2.58 × 104 2.00 × 104 0.169 5.17 × 104 3.00 × 104 0.253 7.75 × 104 4.00 × 104 0.338 1.03 × 105 5.00 × 104 0.422 1.29 × 105 6.00 × 104 0.507 1.55 × 105 7.00 × 104 0.591 1.81 × 105 8.00 × 104 0.675 2.07 × 105 9.00 × 104 0.760 2.33 × 105 1.00 × 105 0.844 2.58 × 105 1.15 × 105 0.970 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 45.0 0.00192 262 50.0 0.00214 291 60.0 0.00256 349 70.0 0.00299 407 80.0 0.00342 465 90.0 0.00385 523 100 0.00427 581 200 0.00855 1160 300 0.0128 1740 400 0.0171 2330 500 0.0214 2910 600 0.0256 3490 700 0.0299 4070 800 0.0342 4650 900 0.0385 5230 1000 0.0427 5810 2000 0.0855 1.16 × 104 3000 0.128 1.74 × 104 4000 0.171 2.33 × 104 5000 0.214 2.91 × 104 6000 0.256 3.49 × 104 7000 0.299 4.07 × 104 8000 0.342 4.65 × 104 9000 0.385 5.23 × 104 1.00 × 104 0.427 5.81 × 104 2.00 × 104 0.855 1.16 × 105 3.00 × 104 1.28 1.74 × 105 4.00 × 104 1.71 2.33 × 105 5.00 × 104 2.14 2.91 × 105 5.11 × 104 2.18 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 45.0 0.00608 465 50.0 0.00675 517 60.0 0.00810 620 70.0 0.00946 724 80.0 0.0108 827 90.0 0.0122 930 100 0.0135 1030 200 0.0270 2070 300 0.0405 3100 400 0.0540 4130 500 0.0675 5170 600 0.0810 6200 700 0.0946 7240 800 0.108 8270 900 0.122 9300 1000 0.135 1.03 × 104 2000 0.270 2.07 × 104 3000 0.405 3.10 × 104 4000 0.540 4.13 × 104 5000 0.675 5.17 × 104 6000 0.810 6.20 × 104 7000 0.946 7.24 × 104 8000 1.08 8.27 × 104 9000 1.22 9.30 × 104 1.00 × 104 1.35 1.03 × 105 2.00 × 104 2.70 2.07 × 105 2.87 × 104 3.88 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 45.0 0.0148 727 50.0 0.0165 808 60.0 0.0198 969 70.0 0.0231 1130 80.0 0.0264 1290 90.0 0.0297 1450 100 0.0330 1620 200 0.0660 3230 300 0.0989 4850 400 0.132 6460 500 0.165 8080 600 0.198 9690 700 0.231 1.13 × 104 800 0.264 1.29 × 104 900 0.297 1.45 × 104 1000 0.330 1.62 × 104 2000 0.660 3.23 × 104 3000 0.989 4.85 × 104 4000 1.32 6.46 × 104 5000 1.65 8.08 × 104 6000 1.98 9.69 × 104 7000 2.31 1.13 × 105 8000 2.64 1.29 × 105 9000 2.97 1.45 × 105 1.00 × 104 3.30 1.62 × 105 1.84 × 104 6.06 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 45.0 0.0308 1050 50.0 0.0342 1160 60.0 0.0410 1400 70.0 0.0479 1630 80.0 0.0547 1860 90.0 0.0615 2090 100 0.0684 2330 200 0.137 4650 300 0.205 6980 400 0.274 9300 500 0.342 1.16 × 104 600 0.410 1.40 × 104 700 0.479 1.63 × 104 800 0.547 1.86 × 104 900 0.615 2.09 × 104 1000 0.684 2.33 × 104 2000 1.37 4.65 × 104 3000 2.05 6.98 × 104 4000 2.74 9.30 × 104 5000 3.42 1.16 × 105 6000 4.10 1.40 × 105 7000 4.79 1.63 × 105 8000 5.47 1.86 × 105 9000 6.15 2.09 × 105 1.00 × 104 6.84 2.33 × 105 1.28 × 104 8.73 2.97 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 45.0 0.0973 1860 50.0 0.108 2070 60.0 0.130 2480 70.0 0.151 2890 80.0 0.173 3310 90.0 0.195 3720 100 0.216 4130 200 0.432 8270 300 0.648 1.24 × 104 400 0.865 1.65 × 104 500 1.08 2.07 × 104 600 1.30 2.48 × 104 700 1.51 2.89 × 104 800 1.73 3.31 × 104 900 1.95 3.72 × 104 1000 2.16 4.13 × 104 2000 4.32 8.27 × 104 3000 6.48 1.24 × 105 4000 8.65 1.65 × 105 5000 10.8 2.07 × 105 5580 12.1 2.31 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 45.0 0.237 2910 50.0 0.264 3230 60.0 0.317 3880 70.0 0.369 4520 80.0 0.422 5170 90.0 0.475 5810 100 0.528 6460 200 1.06 1.29 × 104 300 1.58 1.94 × 104 400 2.11 2.58 × 104 500 2.64 3.23 × 104 600 3.17 3.88 × 104 700 3.69 4.52 × 104 800 4.22 5.17 × 104 900 4.75 5.81 × 104 1000 5.28 6.46 × 104 2000 10.6 1.29 × 105 2290 12.1 1.48 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 45.0 0.492 4190 50.0 0.547 4650 60.0 0.656 5580 70.0 0.766 6510 80.0 0.875 7440 90.0 0.985 8370 100 1.09 9300 200 2.19 1.86 × 104 300 3.28 2.79 × 104 400 4.38 3.72 × 104 500 5.47 4.65 × 104 600 6.56 5.58 × 104 700 7.66 6.51 × 104 800 8.75 7.44 × 104 900 9.85 8.37 × 104 1000 10.9 9.30 × 104 1100 12.1 1.03 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 45.0 0.912 5700 50.0 1.01 6330 60.0 1.22 7600 70.0 1.42 8860 80.0 1.62 1.01 × 104 90.0 1.82 1.14 × 104 100 2.03 1.27 × 104 200 4.05 2.53 × 104 300 6.08 3.80 × 104 400 8.11 5.07 × 104 500 10.1 6.33 × 104 595 12.1 7.53 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 45.0 1.56 7440 50.0 1.73 8270 60.0 2.07 9920 70.0 2.42 1.16 × 104 80.0 2.77 1.32 × 104 90.0 3.11 1.49 × 104 100 3.46 1.65 × 104 200 6.92 3.31 × 104 300 10.4 4.96 × 104 349 12.1 5.77 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 45.0 2.49 9420 50.0 2.77 1.05 × 104 60.0 3.32 1.26 × 104 70.0 3.88 1.47 × 104 80.0 4.43 1.67 × 104 90.0 4.99 1.88 × 104 100 5.54 2.09 × 104 200 11.1 4.19 × 104 218 12.1 4.56 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 45.0 3.80 1.16 × 104 50.0 4.22 1.29 × 104 60.0 5.07 1.55 × 104 70.0 5.91 1.81 × 104 80.0 6.75 2.07 × 104 90.0 7.60 2.33 × 104 100 8.44 2.58 × 104 143 12.1 3.69 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 45.0 9.28 1.82 × 104 50.0 10.3 2.02 × 104 58.5 12.1 2.36 × 104