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Wide Flange Steel I Beam: W12 × 14
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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 stress_max 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 Yield 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
  
Steel I Beam: W12 × 14 (Wide Flange 12 inch tall × 14 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (psi)
14.0 6.10 1.13 × 104
20.0 8.71 1.61 × 104
27.4 11.9 2.21 × 104
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