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Wide Flange Steel I Beam: W12 × 14
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max 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 = 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 4.57 × 10-6 10.9
20.0 6.54 × 10-6 15.5
30.0 9.80 × 10-6 23.3
40.0 1.31 × 10-5 31.1
50.0 1.63 × 10-5 38.9
60.0 1.96 × 10-5 46.6
70.0 2.29 × 10-5 54.4
80.0 2.61 × 10-5 62.2
90.0 2.94 × 10-5 70.0
100 3.27 × 10-5 77.7
200 6.54 × 10-5 155
300 9.80 × 10-5 233
400 1.31 × 10-4 311
500 1.63 × 10-4 389
600 1.96 × 10-4 466
700 2.29 × 10-4 544
800 2.61 × 10-4 622
900 2.94 × 10-4 700
1000 3.27 × 10-4 777
2000 6.54 × 10-4 1550
3000 9.80 × 10-4 2330
4000 0.00131 3110
5000 0.00163 3890
6000 0.00196 4660
7000 0.00229 5440
8000 0.00261 6220
9000 0.00294 7000
1.00 × 104 0.00327 7770
2.00 × 104 0.00654 1.55 × 104
3.00 × 104 0.00980 2.33 × 104
4.00 × 104 0.0131 3.11 × 104
5.00 × 104 0.0163 3.89 × 104
6.00 × 104 0.0196 4.66 × 104
7.00 × 104 0.0229 5.44 × 104
8.00 × 104 0.0261 6.22 × 104
9.00 × 104 0.0294 7.00 × 104
1.00 × 105 0.0327 7.77 × 104
2.00 × 105 0.0654 1.55 × 105
3.00 × 105 0.0980 2.33 × 105
3.82 × 105 0.125 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 3.53 × 10-5 30.2
20.0 5.04 × 10-5 43.2
30.0 7.56 × 10-5 64.8
40.0 1.01 × 10-4 86.4
50.0 1.26 × 10-4 108
60.0 1.51 × 10-4 130
70.0 1.76 × 10-4 151
80.0 2.02 × 10-4 173
90.0 2.27 × 10-4 194
100 2.52 × 10-4 216
200 5.04 × 10-4 432
300 7.56 × 10-4 648
400 0.00101 864
500 0.00126 1080
600 0.00151 1300
700 0.00176 1510
800 0.00202 1730
900 0.00227 1940
1000 0.00252 2160
2000 0.00504 4320
3000 0.00756 6480
4000 0.0101 8640
5000 0.0126 1.08 × 104
6000 0.0151 1.30 × 104
7000 0.0176 1.51 × 104
8000 0.0202 1.73 × 104
9000 0.0227 1.94 × 104
1.00 × 104 0.0252 2.16 × 104
2.00 × 104 0.0504 4.32 × 104
3.00 × 104 0.0756 6.48 × 104
4.00 × 104 0.101 8.64 × 104
5.00 × 104 0.126 1.08 × 105
6.00 × 104 0.151 1.30 × 105
7.00 × 104 0.176 1.51 × 105
8.00 × 104 0.202 1.73 × 105
9.00 × 104 0.227 1.94 × 105
1.00 × 105 0.252 2.16 × 105
1.38 × 105 0.347 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 5.65 × 10-4 121
20.0 8.07 × 10-4 173
30.0 0.00121 259
40.0 0.00161 346
50.0 0.00202 432
60.0 0.00242 518
70.0 0.00282 605
80.0 0.00323 691
90.0 0.00363 777
100 0.00403 864
200 0.00807 1730
300 0.0121 2590
400 0.0161 3460
500 0.0202 4320
600 0.0242 5180
700 0.0282 6050
800 0.0323 6910
900 0.0363 7770
1000 0.0403 8640
2000 0.0807 1.73 × 104
3000 0.121 2.59 × 104
4000 0.161 3.46 × 104
5000 0.202 4.32 × 104
6000 0.242 5.18 × 104
7000 0.282 6.05 × 104
8000 0.323 6.91 × 104
9000 0.363 7.77 × 104
1.00 × 104 0.403 8.64 × 104
2.00 × 104 0.807 1.73 × 105
3.00 × 104 1.21 2.59 × 105
3.44 × 104 1.39 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 0.00286 272
20.0 0.00408 389
30.0 0.00613 583
40.0 0.00817 777
50.0 0.0102 972
60.0 0.0123 1170
70.0 0.0143 1360
80.0 0.0163 1550
90.0 0.0184 1750
100 0.0204 1940
200 0.0408 3890
300 0.0613 5830
400 0.0817 7770
500 0.102 9720
600 0.123 1.17 × 104
700 0.143 1.36 × 104
800 0.163 1.55 × 104
900 0.184 1.75 × 104
1000 0.204 1.94 × 104
2000 0.408 3.89 × 104
3000 0.613 5.83 × 104
4000 0.817 7.77 × 104
5000 1.02 9.72 × 104
6000 1.23 1.17 × 105
7000 1.43 1.36 × 105
8000 1.63 1.55 × 105
9000 1.84 1.75 × 105
1.00 × 104 2.04 1.94 × 105
1.53 × 104 3.12 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 0.00904 484
20.0 0.0129 691
30.0 0.0194 1040
40.0 0.0258 1380
50.0 0.0323 1730
60.0 0.0387 2070
70.0 0.0452 2420
80.0 0.0516 2760
90.0 0.0581 3110
100 0.0645 3460
200 0.129 6910
300 0.194 1.04 × 104
400 0.258 1.38 × 104
500 0.323 1.73 × 104
600 0.387 2.07 × 104
700 0.452 2.42 × 104
800 0.516 2.76 × 104
900 0.581 3.11 × 104
1000 0.645 3.46 × 104
2000 1.29 6.91 × 104
3000 1.94 1.04 × 105
4000 2.58 1.38 × 105
5000 3.23 1.73 × 105
6000 3.87 2.07 × 105
7000 4.52 2.42 × 105
8000 5.16 2.76 × 105
8600 5.55 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 0.0221 756
20.0 0.0315 1080
30.0 0.0473 1620
40.0 0.0630 2160
50.0 0.0788 2700
60.0 0.0945 3240
70.0 0.110 3780
80.0 0.126 4320
90.0 0.142 4860
100 0.158 5400
200 0.315 1.08 × 104
300 0.473 1.62 × 104
400 0.630 2.16 × 104
500 0.788 2.70 × 104
600 0.945 3.24 × 104
700 1.10 3.78 × 104
800 1.26 4.32 × 104
900 1.42 4.86 × 104
1000 1.58 5.40 × 104
2000 3.15 1.08 × 105
3000 4.73 1.62 × 105
4000 6.30 2.16 × 105
5000 7.88 2.70 × 105
5500 8.67 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 0.0457 1090
20.0 0.0654 1550
30.0 0.0980 2330
40.0 0.131 3110
50.0 0.163 3890
60.0 0.196 4660
70.0 0.229 5440
80.0 0.261 6220
90.0 0.294 7000
100 0.327 7770
200 0.654 1.55 × 104
300 0.980 2.33 × 104
400 1.31 3.11 × 104
500 1.63 3.89 × 104
600 1.96 4.66 × 104
700 2.29 5.44 × 104
800 2.61 6.22 × 104
900 2.94 7.00 × 104
1000 3.27 7.77 × 104
2000 6.54 1.55 × 105
3000 9.80 2.33 × 105
3820 12.5 2.97 × 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 0.145 1930
20.0 0.207 2760
30.0 0.310 4150
40.0 0.413 5530
50.0 0.516 6910
60.0 0.620 8290
70.0 0.723 9670
80.0 0.826 1.11 × 104
90.0 0.929 1.24 × 104
100 1.03 1.38 × 104
200 2.07 2.76 × 104
300 3.10 4.15 × 104
400 4.13 5.53 × 104
500 5.16 6.91 × 104
600 6.20 8.29 × 104
700 7.23 9.67 × 104
800 8.26 1.11 × 105
900 9.29 1.24 × 105
1000 10.3 1.38 × 105
1150 11.9 1.59 × 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 0.353 3020
20.0 0.504 4320
30.0 0.756 6480
40.0 1.01 8640
50.0 1.26 1.08 × 104
60.0 1.51 1.30 × 104
70.0 1.76 1.51 × 104
80.0 2.02 1.73 × 104
90.0 2.27 1.94 × 104
100 2.52 2.16 × 104
200 5.04 4.32 × 104
300 7.56 6.48 × 104
400 10.1 8.64 × 104
472 11.9 1.02 × 105
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 0.732 4350
20.0 1.05 6220
30.0 1.57 9330
40.0 2.09 1.24 × 104
50.0 2.61 1.55 × 104
60.0 3.14 1.87 × 104
70.0 3.66 2.18 × 104
80.0 4.18 2.49 × 104
90.0 4.71 2.80 × 104
100 5.23 3.11 × 104
200 10.5 6.22 × 104
228 11.9 7.08 × 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 1.36 5930
20.0 1.94 8470
30.0 2.91 1.27 × 104
40.0 3.87 1.69 × 104
50.0 4.84 2.12 × 104
60.0 5.81 2.54 × 104
70.0 6.78 2.96 × 104
80.0 7.75 3.39 × 104
90.0 8.72 3.81 × 104
100 9.69 4.23 × 104
123 11.9 5.20 × 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 2.31 7740
20.0 3.30 1.11 × 104
30.0 4.96 1.66 × 104
40.0 6.61 2.21 × 104
50.0 8.26 2.76 × 104
60.0 9.91 3.32 × 104
70.0 11.6 3.87 × 104
72.1 11.9 3.98 × 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 3.71 9800
20.0 5.29 1.40 × 104
30.0 7.94 2.10 × 104
40.0 10.6 2.80 × 104
45.0 11.9 3.15 × 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 5.65 1.21 × 104
20.0 8.07 1.73 × 104
29.5 11.9 2.55 × 104
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