Wide Flange Steel I Beam: W12 × 45

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress occuring at the second and fourth 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 3.72 × 10-6 8.97 50.0 4.14 × 10-6 9.96 60.0 4.96 × 10-6 12.0 70.0 5.79 × 10-6 13.9 80.0 6.62 × 10-6 15.9 90.0 7.44 × 10-6 17.9 100 8.27 × 10-6 19.9 200 1.65 × 10-5 39.9 300 2.48 × 10-5 59.8 400 3.31 × 10-5 79.7 500 4.14 × 10-5 99.6 600 4.96 × 10-5 120 700 5.79 × 10-5 139 800 6.62 × 10-5 159 900 7.44 × 10-5 179 1000 8.27 × 10-5 199 2000 1.65 × 10-4 399 3000 2.48 × 10-4 598 4000 3.31 × 10-4 797 5000 4.14 × 10-4 996 6000 4.96 × 10-4 1200 7000 5.79 × 10-4 1390 8000 6.62 × 10-4 1590 9000 7.44 × 10-4 1790 1.00 × 104 8.27 × 10-4 1990 2.00 × 104 0.00165 3990 3.00 × 104 0.00248 5980 4.00 × 104 0.00331 7970 5.00 × 104 0.00414 9960 6.00 × 104 0.00496 1.20 × 104 7.00 × 104 0.00579 1.39 × 104 8.00 × 104 0.00662 1.59 × 104 9.00 × 104 0.00744 1.79 × 104 1.00 × 105 0.00827 1.99 × 104 2.00 × 105 0.0165 3.99 × 104 3.00 × 105 0.0248 5.98 × 104 4.00 × 105 0.0331 7.97 × 104 5.00 × 105 0.0414 9.96 × 104 6.00 × 105 0.0496 1.20 × 105 7.00 × 105 0.0579 1.39 × 105 8.00 × 105 0.0662 1.59 × 105 9.00 × 105 0.0744 1.79 × 105 1.00 × 106 0.0827 1.99 × 105 1.49 × 106 0.123 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 2.87 × 10-5 24.9 50.0 3.19 × 10-5 27.7 60.0 3.83 × 10-5 33.2 70.0 4.47 × 10-5 38.7 80.0 5.11 × 10-5 44.3 90.0 5.74 × 10-5 49.8 100 6.38 × 10-5 55.4 200 1.28 × 10-4 111 300 1.91 × 10-4 166 400 2.55 × 10-4 221 500 3.19 × 10-4 277 600 3.83 × 10-4 332 700 4.47 × 10-4 387 800 5.11 × 10-4 443 900 5.74 × 10-4 498 1000 6.38 × 10-4 554 2000 0.00128 1110 3000 0.00191 1660 4000 0.00255 2210 5000 0.00319 2770 6000 0.00383 3320 7000 0.00447 3870 8000 0.00511 4430 9000 0.00574 4980 1.00 × 104 0.00638 5540 2.00 × 104 0.0128 1.11 × 104 3.00 × 104 0.0191 1.66 × 104 4.00 × 104 0.0255 2.21 × 104 5.00 × 104 0.0319 2.77 × 104 6.00 × 104 0.0383 3.32 × 104 7.00 × 104 0.0447 3.87 × 104 8.00 × 104 0.0511 4.43 × 104 9.00 × 104 0.0574 4.98 × 104 1.00 × 105 0.0638 5.54 × 104 2.00 × 105 0.128 1.11 × 105 3.00 × 105 0.191 1.66 × 105 4.00 × 105 0.255 2.21 × 105 5.00 × 105 0.319 2.77 × 105 5.37 × 105 0.342 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 4.60 × 10-4 99.6 50.0 5.11 × 10-4 111 60.0 6.13 × 10-4 133 70.0 7.15 × 10-4 155 80.0 8.17 × 10-4 177 90.0 9.19 × 10-4 199 100 0.00102 221 200 0.00204 443 300 0.00306 664 400 0.00408 886 500 0.00511 1110 600 0.00613 1330 700 0.00715 1550 800 0.00817 1770 900 0.00919 1990 1000 0.0102 2210 2000 0.0204 4430 3000 0.0306 6640 4000 0.0408 8860 5000 0.0511 1.11 × 104 6000 0.0613 1.33 × 104 7000 0.0715 1.55 × 104 8000 0.0817 1.77 × 104 9000 0.0919 1.99 × 104 1.00 × 104 0.102 2.21 × 104 2.00 × 104 0.204 4.43 × 104 3.00 × 104 0.306 6.64 × 104 4.00 × 104 0.408 8.86 × 104 5.00 × 104 0.511 1.11 × 105 6.00 × 104 0.613 1.33 × 105 7.00 × 104 0.715 1.55 × 105 8.00 × 104 0.817 1.77 × 105 9.00 × 104 0.919 1.99 × 105 1.00 × 105 1.02 2.21 × 105 1.34 × 105 1.37 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 0.00233 224 50.0 0.00258 249 60.0 0.00310 299 70.0 0.00362 349 80.0 0.00414 399 90.0 0.00465 448 100 0.00517 498 200 0.0103 996 300 0.0155 1490 400 0.0207 1990 500 0.0258 2490 600 0.0310 2990 700 0.0362 3490 800 0.0414 3990 900 0.0465 4480 1000 0.0517 4980 2000 0.103 9960 3000 0.155 1.49 × 104 4000 0.207 1.99 × 104 5000 0.258 2.49 × 104 6000 0.310 2.99 × 104 7000 0.362 3.49 × 104 8000 0.414 3.99 × 104 9000 0.465 4.48 × 104 1.00 × 104 0.517 4.98 × 104 2.00 × 104 1.03 9.96 × 104 3.00 × 104 1.55 1.49 × 105 4.00 × 104 2.07 1.99 × 105 5.00 × 104 2.58 2.49 × 105 5.96 × 104 3.08 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 0.00735 399 50.0 0.00817 443 60.0 0.00980 531 70.0 0.0114 620 80.0 0.0131 709 90.0 0.0147 797 100 0.0163 886 200 0.0327 1770 300 0.0490 2660 400 0.0654 3540 500 0.0817 4430 600 0.0980 5310 700 0.114 6200 800 0.131 7090 900 0.147 7970 1000 0.163 8860 2000 0.327 1.77 × 104 3000 0.490 2.66 × 104 4000 0.654 3.54 × 104 5000 0.817 4.43 × 104 6000 0.980 5.31 × 104 7000 1.14 6.20 × 104 8000 1.31 7.09 × 104 9000 1.47 7.97 × 104 1.00 × 104 1.63 8.86 × 104 2.00 × 104 3.27 1.77 × 105 3.00 × 104 4.90 2.66 × 105 3.35 × 104 5.48 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 0.0180 623 50.0 0.0199 692 60.0 0.0239 830 70.0 0.0279 969 80.0 0.0319 1110 90.0 0.0359 1250 100 0.0399 1380 200 0.0798 2770 300 0.120 4150 400 0.160 5540 500 0.199 6920 600 0.239 8300 700 0.279 9690 800 0.319 1.11 × 104 900 0.359 1.25 × 104 1000 0.399 1.38 × 104 2000 0.798 2.77 × 104 3000 1.20 4.15 × 104 4000 1.60 5.54 × 104 5000 1.99 6.92 × 104 6000 2.39 8.30 × 104 7000 2.79 9.69 × 104 8000 3.19 1.11 × 105 9000 3.59 1.25 × 105 1.00 × 104 3.99 1.38 × 105 2.00 × 104 7.98 2.77 × 105 2.15 × 104 8.56 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 0.0372 897 50.0 0.0414 996 60.0 0.0496 1200 70.0 0.0579 1390 80.0 0.0662 1590 90.0 0.0744 1790 100 0.0827 1990 200 0.165 3990 300 0.248 5980 400 0.331 7970 500 0.414 9960 600 0.496 1.20 × 104 700 0.579 1.39 × 104 800 0.662 1.59 × 104 900 0.744 1.79 × 104 1000 0.827 1.99 × 104 2000 1.65 3.99 × 104 3000 2.48 5.98 × 104 4000 3.31 7.97 × 104 5000 4.14 9.96 × 104 6000 4.96 1.20 × 105 7000 5.79 1.39 × 105 8000 6.62 1.59 × 105 9000 7.44 1.79 × 105 1.00 × 104 8.27 1.99 × 105 1.49 × 104 12.3 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 0.118 1590 50.0 0.131 1770 60.0 0.157 2130 70.0 0.183 2480 80.0 0.209 2830 90.0 0.235 3190 100 0.261 3540 200 0.523 7090 300 0.784 1.06 × 104 400 1.05 1.42 × 104 500 1.31 1.77 × 104 600 1.57 2.13 × 104 700 1.83 2.48 × 104 800 2.09 2.83 × 104 900 2.35 3.19 × 104 1000 2.61 3.54 × 104 2000 5.23 7.09 × 104 3000 7.84 1.06 × 105 4000 10.5 1.42 × 105 4610 12.1 1.63 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 45.0 0.287 2490 50.0 0.319 2770 60.0 0.383 3320 70.0 0.447 3870 80.0 0.511 4430 90.0 0.574 4980 100 0.638 5540 200 1.28 1.11 × 104 300 1.91 1.66 × 104 400 2.55 2.21 × 104 500 3.19 2.77 × 104 600 3.83 3.32 × 104 700 4.47 3.87 × 104 800 5.11 4.43 × 104 900 5.74 4.98 × 104 1000 6.38 5.54 × 104 1890 12.1 1.05 × 105
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 45.0 0.596 3590 50.0 0.662 3990 60.0 0.794 4780 70.0 0.926 5580 80.0 1.06 6380 90.0 1.19 7170 100 1.32 7970 200 2.65 1.59 × 104 300 3.97 2.39 × 104 400 5.29 3.19 × 104 500 6.62 3.99 × 104 600 7.94 4.78 × 104 700 9.26 5.58 × 104 800 10.6 6.38 × 104 900 11.9 7.17 × 104 911 12.1 7.26 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 45.0 1.10 4880 50.0 1.23 5420 60.0 1.47 6510 70.0 1.72 7590 80.0 1.96 8680 90.0 2.21 9760 100 2.45 1.08 × 104 200 4.90 2.17 × 104 300 7.36 3.25 × 104 400 9.81 4.34 × 104 492 12.1 5.34 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 45.0 1.88 6380 50.0 2.09 7090 60.0 2.51 8500 70.0 2.93 9920 80.0 3.35 1.13 × 104 90.0 3.76 1.28 × 104 100 4.18 1.42 × 104 200 8.37 2.83 × 104 288 12.1 4.09 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 45.0 3.02 8070 50.0 3.35 8970 60.0 4.02 1.08 × 104 70.0 4.69 1.26 × 104 80.0 5.36 1.43 × 104 90.0 6.03 1.61 × 104 100 6.70 1.79 × 104 180 12.1 3.23 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 45.0 4.60 9960 50.0 5.11 1.11 × 104 60.0 6.13 1.33 × 104 70.0 7.15 1.55 × 104 80.0 8.17 1.77 × 104 90.0 9.19 1.99 × 104 100 10.2 2.21 × 104 118 12.1 2.61 × 104
 Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 45.0 11.2 1.56 × 104 48.4 12.1 1.67 × 104