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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports 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 4.02 × 10-6 8.37 50.0 4.46 × 10-6 9.30 60.0 5.36 × 10-6 11.2 70.0 6.25 × 10-6 13.0 80.0 7.14 × 10-6 14.9 90.0 8.04 × 10-6 16.7 100 8.93 × 10-6 18.6 200 1.79 × 10-5 37.2 300 2.68 × 10-5 55.8 400 3.57 × 10-5 74.4 500 4.46 × 10-5 93.0 600 5.36 × 10-5 112 700 6.25 × 10-5 130 800 7.14 × 10-5 149 900 8.04 × 10-5 167 1000 8.93 × 10-5 186 2000 1.79 × 10-4 372 3000 2.68 × 10-4 558 4000 3.57 × 10-4 744 5000 4.46 × 10-4 930 6000 5.36 × 10-4 1120 7000 6.25 × 10-4 1300 8000 7.14 × 10-4 1490 9000 8.04 × 10-4 1670 1.00 × 104 8.93 × 10-4 1860 2.00 × 104 0.00179 3720 3.00 × 104 0.00268 5580 4.00 × 104 0.00357 7440 5.00 × 104 0.00446 9300 6.00 × 104 0.00536 1.12 × 104 7.00 × 104 0.00625 1.30 × 104 8.00 × 104 0.00714 1.49 × 104 9.00 × 104 0.00804 1.67 × 104 1.00 × 105 0.00893 1.86 × 104 2.00 × 105 0.0179 3.72 × 104 3.00 × 105 0.0268 5.58 × 104 4.00 × 105 0.0357 7.44 × 104 5.00 × 105 0.0446 9.30 × 104 6.00 × 105 0.0536 1.12 × 105 7.00 × 105 0.0625 1.30 × 105 8.00 × 105 0.0714 1.49 × 105 9.00 × 105 0.0804 1.67 × 105 1.00 × 106 0.0893 1.86 × 105 1.60 × 106 0.143 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 3.10 × 10-5 23.3 50.0 3.44 × 10-5 25.8 60.0 4.13 × 10-5 31.0 70.0 4.82 × 10-5 36.2 80.0 5.51 × 10-5 41.3 90.0 6.20 × 10-5 46.5 100 6.89 × 10-5 51.7 200 1.38 × 10-4 103 300 2.07 × 10-4 155 400 2.76 × 10-4 207 500 3.44 × 10-4 258 600 4.13 × 10-4 310 700 4.82 × 10-4 362 800 5.51 × 10-4 413 900 6.20 × 10-4 465 1000 6.89 × 10-4 517 2000 0.00138 1030 3000 0.00207 1550 4000 0.00276 2070 5000 0.00344 2580 6000 0.00413 3100 7000 0.00482 3620 8000 0.00551 4130 9000 0.00620 4650 1.00 × 104 0.00689 5170 2.00 × 104 0.0138 1.03 × 104 3.00 × 104 0.0207 1.55 × 104 4.00 × 104 0.0276 2.07 × 104 5.00 × 104 0.0344 2.58 × 104 6.00 × 104 0.0413 3.10 × 104 7.00 × 104 0.0482 3.62 × 104 8.00 × 104 0.0551 4.13 × 104 9.00 × 104 0.0620 4.65 × 104 1.00 × 105 0.0689 5.17 × 104 2.00 × 105 0.138 1.03 × 105 3.00 × 105 0.207 1.55 × 105 4.00 × 105 0.276 2.07 × 105 5.00 × 105 0.344 2.58 × 105 5.75 × 105 0.396 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 4.96 × 10-4 93.0 50.0 5.51 × 10-4 103 60.0 6.61 × 10-4 124 70.0 7.72 × 10-4 145 80.0 8.82 × 10-4 165 90.0 9.92 × 10-4 186 100 0.00110 207 200 0.00220 413 300 0.00331 620 400 0.00441 827 500 0.00551 1030 600 0.00661 1240 700 0.00772 1450 800 0.00882 1650 900 0.00992 1860 1000 0.0110 2070 2000 0.0220 4130 3000 0.0331 6200 4000 0.0441 8270 5000 0.0551 1.03 × 104 6000 0.0661 1.24 × 104 7000 0.0772 1.45 × 104 8000 0.0882 1.65 × 104 9000 0.0992 1.86 × 104 1.00 × 104 0.110 2.07 × 104 2.00 × 104 0.220 4.13 × 104 3.00 × 104 0.331 6.20 × 104 4.00 × 104 0.441 8.27 × 104 5.00 × 104 0.551 1.03 × 105 6.00 × 104 0.661 1.24 × 105 7.00 × 104 0.772 1.45 × 105 8.00 × 104 0.882 1.65 × 105 9.00 × 104 0.992 1.86 × 105 1.00 × 105 1.10 2.07 × 105 1.44 × 105 1.58 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 0.00251 209 50.0 0.00279 233 60.0 0.00335 279 70.0 0.00391 326 80.0 0.00446 372 90.0 0.00502 419 100 0.00558 465 200 0.0112 930 300 0.0167 1400 400 0.0223 1860 500 0.0279 2330 600 0.0335 2790 700 0.0391 3260 800 0.0446 3720 900 0.0502 4190 1000 0.0558 4650 2000 0.112 9300 3000 0.167 1.40 × 104 4000 0.223 1.86 × 104 5000 0.279 2.33 × 104 6000 0.335 2.79 × 104 7000 0.391 3.26 × 104 8000 0.446 3.72 × 104 9000 0.502 4.19 × 104 1.00 × 104 0.558 4.65 × 104 2.00 × 104 1.12 9.30 × 104 3.00 × 104 1.67 1.40 × 105 4.00 × 104 2.23 1.86 × 105 5.00 × 104 2.79 2.33 × 105 6.00 × 104 3.35 2.79 × 105 6.39 × 104 3.56 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 0.00794 372 50.0 0.00882 413 60.0 0.0106 496 70.0 0.0123 579 80.0 0.0141 662 90.0 0.0159 744 100 0.0176 827 200 0.0353 1650 300 0.0529 2480 400 0.0705 3310 500 0.0882 4130 600 0.106 4960 700 0.123 5790 800 0.141 6620 900 0.159 7440 1000 0.176 8270 2000 0.353 1.65 × 104 3000 0.529 2.48 × 104 4000 0.705 3.31 × 104 5000 0.882 4.13 × 104 6000 1.06 4.96 × 104 7000 1.23 5.79 × 104 8000 1.41 6.62 × 104 9000 1.59 7.44 × 104 1.00 × 104 1.76 8.27 × 104 2.00 × 104 3.53 1.65 × 105 3.00 × 104 5.29 2.48 × 105 3.59 × 104 6.33 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 0.0194 581 50.0 0.0215 646 60.0 0.0258 775 70.0 0.0301 905 80.0 0.0344 1030 90.0 0.0388 1160 100 0.0431 1290 200 0.0861 2580 300 0.129 3880 400 0.172 5170 500 0.215 6460 600 0.258 7750 700 0.301 9050 800 0.344 1.03 × 104 900 0.388 1.16 × 104 1000 0.431 1.29 × 104 2000 0.861 2.58 × 104 3000 1.29 3.88 × 104 4000 1.72 5.17 × 104 5000 2.15 6.46 × 104 6000 2.58 7.75 × 104 7000 3.01 9.05 × 104 8000 3.44 1.03 × 105 9000 3.88 1.16 × 105 1.00 × 104 4.31 1.29 × 105 2.00 × 104 8.61 2.58 × 105 2.30 × 104 9.90 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 0.0402 837 50.0 0.0446 930 60.0 0.0536 1120 70.0 0.0625 1300 80.0 0.0714 1490 90.0 0.0804 1670 100 0.0893 1860 200 0.179 3720 300 0.268 5580 400 0.357 7440 500 0.446 9300 600 0.536 1.12 × 104 700 0.625 1.30 × 104 800 0.714 1.49 × 104 900 0.804 1.67 × 104 1000 0.893 1.86 × 104 2000 1.79 3.72 × 104 3000 2.68 5.58 × 104 4000 3.57 7.44 × 104 5000 4.46 9.30 × 104 6000 5.36 1.12 × 105 7000 6.25 1.30 × 105 8000 7.14 1.49 × 105 9000 8.04 1.67 × 105 1.00 × 104 8.93 1.86 × 105 1.60 × 104 14.3 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 0.127 1490 50.0 0.141 1650 60.0 0.169 1980 70.0 0.198 2320 80.0 0.226 2650 90.0 0.254 2980 100 0.282 3310 200 0.564 6620 300 0.847 9920 400 1.13 1.32 × 104 500 1.41 1.65 × 104 600 1.69 1.98 × 104 700 1.98 2.32 × 104 800 2.26 2.65 × 104 900 2.54 2.98 × 104 1000 2.82 3.31 × 104 2000 5.64 6.62 × 104 3000 8.47 9.92 × 104 4000 11.3 1.32 × 105 4270 12.1 1.41 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 45.0 0.310 2330 50.0 0.344 2580 60.0 0.413 3100 70.0 0.482 3620 80.0 0.551 4130 90.0 0.620 4650 100 0.689 5170 200 1.38 1.03 × 104 300 2.07 1.55 × 104 400 2.76 2.07 × 104 500 3.44 2.58 × 104 600 4.13 3.10 × 104 700 4.82 3.62 × 104 800 5.51 4.13 × 104 900 6.20 4.65 × 104 1000 6.89 5.17 × 104 1750 12.1 9.05 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 45.0 0.643 3350 50.0 0.714 3720 60.0 0.857 4470 70.0 1.00 5210 80.0 1.14 5950 90.0 1.29 6700 100 1.43 7440 200 2.86 1.49 × 104 300 4.29 2.23 × 104 400 5.71 2.98 × 104 500 7.14 3.72 × 104 600 8.57 4.47 × 104 700 10.0 5.21 × 104 800 11.4 5.95 × 104 844 12.1 6.28 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 45.0 1.19 4560 50.0 1.32 5070 60.0 1.59 6080 70.0 1.85 7090 80.0 2.12 8100 90.0 2.38 9120 100 2.65 1.01 × 104 200 5.29 2.03 × 104 300 7.94 3.04 × 104 400 10.6 4.05 × 104 456 12.1 4.62 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 45.0 2.03 5950 50.0 2.26 6620 60.0 2.71 7940 70.0 3.16 9260 80.0 3.61 1.06 × 104 90.0 4.06 1.19 × 104 100 4.51 1.32 × 104 200 9.03 2.65 × 104 267 12.1 3.53 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 45.0 3.25 7540 50.0 3.62 8370 60.0 4.34 1.00 × 104 70.0 5.06 1.17 × 104 80.0 5.79 1.34 × 104 90.0 6.51 1.51 × 104 100 7.23 1.67 × 104 167 12.1 2.79 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 45.0 4.96 9300 50.0 5.51 1.03 × 104 60.0 6.61 1.24 × 104 70.0 7.72 1.45 × 104 80.0 8.82 1.65 × 104 90.0 9.92 1.86 × 104 100 11.0 2.07 × 104 109 12.1 2.26 × 104