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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 14
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 = 88.6 in4) for the W12 × 14 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 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 14.0 4.94 × 10-6 10.2 20.0 7.05 × 10-6 14.5 30.0 1.06 × 10-5 21.8 40.0 1.41 × 10-5 29.0 50.0 1.76 × 10-5 36.3 60.0 2.12 × 10-5 43.6 70.0 2.47 × 10-5 50.8 80.0 2.82 × 10-5 58.1 90.0 3.17 × 10-5 65.3 100 3.53 × 10-5 72.6 200 7.05 × 10-5 145 300 1.06 × 10-4 218 400 1.41 × 10-4 290 500 1.76 × 10-4 363 600 2.12 × 10-4 436 700 2.47 × 10-4 508 800 2.82 × 10-4 581 900 3.17 × 10-4 653 1000 3.53 × 10-4 726 2000 7.05 × 10-4 1450 3000 0.00106 2180 4000 0.00141 2900 5000 0.00176 3630 6000 0.00212 4360 7000 0.00247 5080 8000 0.00282 5810 9000 0.00317 6530 1.00 × 104 0.00353 7260 2.00 × 104 0.00705 1.45 × 104 3.00 × 104 0.0106 2.18 × 104 4.00 × 104 0.0141 2.90 × 104 5.00 × 104 0.0176 3.63 × 104 6.00 × 104 0.0212 4.36 × 104 7.00 × 104 0.0247 5.08 × 104 8.00 × 104 0.0282 5.81 × 104 9.00 × 104 0.0317 6.53 × 104 1.00 × 105 0.0353 7.26 × 104 2.00 × 105 0.0705 1.45 × 105 3.00 × 105 0.106 2.18 × 105 4.00 × 105 0.141 2.90 × 105 4.09 × 105 0.144 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 14.0 3.81 × 10-5 28.2 20.0 5.44 × 10-5 40.3 30.0 8.16 × 10-5 60.5 40.0 1.09 × 10-4 80.7 50.0 1.36 × 10-4 101 60.0 1.63 × 10-4 121 70.0 1.91 × 10-4 141 80.0 2.18 × 10-4 161 90.0 2.45 × 10-4 181 100 2.72 × 10-4 202 200 5.44 × 10-4 403 300 8.16 × 10-4 605 400 0.00109 807 500 0.00136 1010 600 0.00163 1210 700 0.00191 1410 800 0.00218 1610 900 0.00245 1810 1000 0.00272 2020 2000 0.00544 4030 3000 0.00816 6050 4000 0.0109 8070 5000 0.0136 1.01 × 104 6000 0.0163 1.21 × 104 7000 0.0191 1.41 × 104 8000 0.0218 1.61 × 104 9000 0.0245 1.81 × 104 1.00 × 104 0.0272 2.02 × 104 2.00 × 104 0.0544 4.03 × 104 3.00 × 104 0.0816 6.05 × 104 4.00 × 104 0.109 8.07 × 104 5.00 × 104 0.136 1.01 × 105 6.00 × 104 0.163 1.21 × 105 7.00 × 104 0.191 1.41 × 105 8.00 × 104 0.218 1.61 × 105 9.00 × 104 0.245 1.81 × 105 1.00 × 105 0.272 2.02 × 105 1.47 × 105 0.401 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 14.0 6.10 × 10-4 113 20.0 8.71 × 10-4 161 30.0 0.00131 242 40.0 0.00174 323 50.0 0.00218 403 60.0 0.00261 484 70.0 0.00305 565 80.0 0.00348 645 90.0 0.00392 726 100 0.00435 807 200 0.00871 1610 300 0.0131 2420 400 0.0174 3230 500 0.0218 4030 600 0.0261 4840 700 0.0305 5650 800 0.0348 6450 900 0.0392 7260 1000 0.0435 8070 2000 0.0871 1.61 × 104 3000 0.131 2.42 × 104 4000 0.174 3.23 × 104 5000 0.218 4.03 × 104 6000 0.261 4.84 × 104 7000 0.305 5.65 × 104 8000 0.348 6.45 × 104 9000 0.392 7.26 × 104 1.00 × 104 0.435 8.07 × 104 2.00 × 104 0.871 1.61 × 105 3.00 × 104 1.31 2.42 × 105 3.68 × 104 1.60 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 14.0 0.00309 254 20.0 0.00441 363 30.0 0.00661 544 40.0 0.00882 726 50.0 0.0110 907 60.0 0.0132 1090 70.0 0.0154 1270 80.0 0.0176 1450 90.0 0.0198 1630 100 0.0220 1810 200 0.0441 3630 300 0.0661 5440 400 0.0882 7260 500 0.110 9070 600 0.132 1.09 × 104 700 0.154 1.27 × 104 800 0.176 1.45 × 104 900 0.198 1.63 × 104 1000 0.220 1.81 × 104 2000 0.441 3.63 × 104 3000 0.661 5.44 × 104 4000 0.882 7.26 × 104 5000 1.10 9.07 × 104 6000 1.32 1.09 × 105 7000 1.54 1.27 × 105 8000 1.76 1.45 × 105 9000 1.98 1.63 × 105 1.00 × 104 2.20 1.81 × 105 1.64 × 104 3.61 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 14.0 0.00975 452 20.0 0.0139 645 30.0 0.0209 968 40.0 0.0279 1290 50.0 0.0348 1610 60.0 0.0418 1940 70.0 0.0488 2260 80.0 0.0557 2580 90.0 0.0627 2900 100 0.0697 3230 200 0.139 6450 300 0.209 9680 400 0.279 1.29 × 104 500 0.348 1.61 × 104 600 0.418 1.94 × 104 700 0.488 2.26 × 104 800 0.557 2.58 × 104 900 0.627 2.90 × 104 1000 0.697 3.23 × 104 2000 1.39 6.45 × 104 3000 2.09 9.68 × 104 4000 2.79 1.29 × 105 5000 3.48 1.61 × 105 6000 4.18 1.94 × 105 7000 4.88 2.26 × 105 8000 5.57 2.58 × 105 9000 6.27 2.90 × 105 9210 6.41 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 14.0 0.0238 706 20.0 0.0340 1010 30.0 0.0510 1510 40.0 0.0680 2020 50.0 0.0850 2520 60.0 0.102 3020 70.0 0.119 3530 80.0 0.136 4030 90.0 0.153 4540 100 0.170 5040 200 0.340 1.01 × 104 300 0.510 1.51 × 104 400 0.680 2.02 × 104 500 0.850 2.52 × 104 600 1.02 3.02 × 104 700 1.19 3.53 × 104 800 1.36 4.03 × 104 900 1.53 4.54 × 104 1000 1.70 5.04 × 104 2000 3.40 1.01 × 105 3000 5.10 1.51 × 105 4000 6.80 2.02 × 105 5000 8.50 2.52 × 105 5890 10.0 2.97 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 14.0 0.0494 1020 20.0 0.0705 1450 30.0 0.106 2180 40.0 0.141 2900 50.0 0.176 3630 60.0 0.212 4360 70.0 0.247 5080 80.0 0.282 5810 90.0 0.317 6530 100 0.353 7260 200 0.705 1.45 × 104 300 1.06 2.18 × 104 400 1.41 2.90 × 104 500 1.76 3.63 × 104 600 2.12 4.36 × 104 700 2.47 5.08 × 104 800 2.82 5.81 × 104 900 3.17 6.53 × 104 1000 3.53 7.26 × 104 2000 7.05 1.45 × 105 3000 10.6 2.18 × 105 3380 11.9 2.45 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 14.0 0.156 1810 20.0 0.223 2580 30.0 0.334 3870 40.0 0.446 5160 50.0 0.557 6450 60.0 0.669 7740 70.0 0.780 9030 80.0 0.892 1.03 × 104 90.0 1.00 1.16 × 104 100 1.11 1.29 × 104 200 2.23 2.58 × 104 300 3.34 3.87 × 104 400 4.46 5.16 × 104 500 5.57 6.45 × 104 600 6.69 7.74 × 104 700 7.80 9.03 × 104 800 8.92 1.03 × 105 900 10.0 1.16 × 105 1000 11.1 1.29 × 105 1070 11.9 1.38 × 105
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 14.0 0.381 2820 20.0 0.544 4030 30.0 0.816 6050 40.0 1.09 8070 50.0 1.36 1.01 × 104 60.0 1.63 1.21 × 104 70.0 1.91 1.41 × 104 80.0 2.18 1.61 × 104 90.0 2.45 1.81 × 104 100 2.72 2.02 × 104 200 5.44 4.03 × 104 300 8.16 6.05 × 104 400 10.9 8.07 × 104 438 11.9 8.82 × 104
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 14.0 0.790 4060 20.0 1.13 5810 30.0 1.69 8710 40.0 2.26 1.16 × 104 50.0 2.82 1.45 × 104 60.0 3.39 1.74 × 104 70.0 3.95 2.03 × 104 80.0 4.51 2.32 × 104 90.0 5.08 2.61 × 104 100 5.64 2.90 × 104 200 11.3 5.81 × 104 211 11.9 6.13 × 104
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 14.0 1.46 5530 20.0 2.09 7900 30.0 3.14 1.19 × 104 40.0 4.18 1.58 × 104 50.0 5.23 1.98 × 104 60.0 6.27 2.37 × 104 70.0 7.32 2.77 × 104 80.0 8.36 3.16 × 104 90.0 9.41 3.56 × 104 100 10.5 3.95 × 104 114 11.9 4.50 × 104
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 14.0 2.50 7230 20.0 3.57 1.03 × 104 30.0 5.35 1.55 × 104 40.0 7.13 2.06 × 104 50.0 8.92 2.58 × 104 60.0 10.7 3.10 × 104 66.8 11.9 3.45 × 104
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 14.0 4.00 9150 20.0 5.71 1.31 × 104 30.0 8.57 1.96 × 104 40.0 11.4 2.61 × 104 41.7 11.9 2.72 × 104
 Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 14.0 6.10 1.13 × 104 20.0 8.71 1.61 × 104 27.4 11.9 2.21 × 104