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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W14 × 120
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 = 1380 in4) for the W14 × 120 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
L = 125 ft
   
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 2.72 × 10-6 6.80
200 4.53 × 10-6 11.3
300 6.79 × 10-6 17.0
400 9.06 × 10-6 22.7
500 1.13 × 10-5 28.3
600 1.36 × 10-5 34.0
700 1.59 × 10-5 39.7
800 1.81 × 10-5 45.3
900 2.04 × 10-5 51.0
1000 2.26 × 10-5 56.7
2000 4.53 × 10-5 113
3000 6.79 × 10-5 170
4000 9.06 × 10-5 227
5000 1.13 × 10-4 283
6000 1.36 × 10-4 340
7000 1.59 × 10-4 397
8000 1.81 × 10-4 453
9000 2.04 × 10-4 510
1.00 × 104 2.26 × 10-4 567
2.00 × 104 4.53 × 10-4 1130
3.00 × 104 6.79 × 10-4 1700
4.00 × 104 9.06 × 10-4 2270
5.00 × 104 0.00113 2830
6.00 × 104 0.00136 3400
7.00 × 104 0.00159 3970
8.00 × 104 0.00181 4530
9.00 × 104 0.00204 5100
1.00 × 105 0.00226 5670
2.00 × 105 0.00453 1.13 × 104
3.00 × 105 0.00679 1.70 × 104
4.00 × 105 0.00906 2.27 × 104
5.00 × 105 0.0113 2.83 × 104
6.00 × 105 0.0136 3.40 × 104
7.00 × 105 0.0159 3.97 × 104
8.00 × 105 0.0181 4.53 × 104
9.00 × 105 0.0204 5.10 × 104
1.00 × 106 0.0226 5.67 × 104
2.00 × 106 0.0453 1.13 × 105
3.00 × 106 0.0679 1.70 × 105
4.00 × 106 0.0906 2.27 × 105
5.00 × 106 0.113 2.83 × 105
5.24 × 106 0.119 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 2.10 × 10-5 18.9
200 3.49 × 10-5 31.5
300 5.24 × 10-5 47.2
400 6.99 × 10-5 63.0
500 8.74 × 10-5 78.7
600 1.05 × 10-4 94.4
700 1.22 × 10-4 110
800 1.40 × 10-4 126
900 1.57 × 10-4 142
1000 1.75 × 10-4 157
2000 3.49 × 10-4 315
3000 5.24 × 10-4 472
4000 6.99 × 10-4 630
5000 8.74 × 10-4 787
6000 0.00105 944
7000 0.00122 1100
8000 0.00140 1260
9000 0.00157 1420
1.00 × 104 0.00175 1570
2.00 × 104 0.00349 3150
3.00 × 104 0.00524 4720
4.00 × 104 0.00699 6300
5.00 × 104 0.00874 7870
6.00 × 104 0.0105 9440
7.00 × 104 0.0122 1.10 × 104
8.00 × 104 0.0140 1.26 × 104
9.00 × 104 0.0157 1.42 × 104
1.00 × 105 0.0175 1.57 × 104
2.00 × 105 0.0349 3.15 × 104
3.00 × 105 0.0524 4.72 × 104
4.00 × 105 0.0699 6.30 × 104
5.00 × 105 0.0874 7.87 × 104
6.00 × 105 0.105 9.44 × 104
7.00 × 105 0.122 1.10 × 105
8.00 × 105 0.140 1.26 × 105
9.00 × 105 0.157 1.42 × 105
1.00 × 106 0.175 1.57 × 105
1.89 × 106 0.330 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 3.35 × 10-4 75.5
200 5.59 × 10-4 126
300 8.39 × 10-4 189
400 0.00112 252
500 0.00140 315
600 0.00168 378
700 0.00196 441
800 0.00224 504
900 0.00252 567
1000 0.00280 630
2000 0.00559 1260
3000 0.00839 1890
4000 0.0112 2520
5000 0.0140 3150
6000 0.0168 3780
7000 0.0196 4410
8000 0.0224 5040
9000 0.0252 5670
1.00 × 104 0.0280 6300
2.00 × 104 0.0559 1.26 × 104
3.00 × 104 0.0839 1.89 × 104
4.00 × 104 0.112 2.52 × 104
5.00 × 104 0.140 3.15 × 104
6.00 × 104 0.168 3.78 × 104
7.00 × 104 0.196 4.41 × 104
8.00 × 104 0.224 5.04 × 104
9.00 × 104 0.252 5.67 × 104
1.00 × 105 0.280 6.30 × 104
2.00 × 105 0.559 1.26 × 105
3.00 × 105 0.839 1.89 × 105
4.00 × 105 1.12 2.52 × 105
4.72 × 105 1.32 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.00170 170
200 0.00283 283
300 0.00425 425
400 0.00566 567
500 0.00708 708
600 0.00849 850
700 0.00991 992
800 0.0113 1130
900 0.0127 1270
1000 0.0142 1420
2000 0.0283 2830
3000 0.0425 4250
4000 0.0566 5670
5000 0.0708 7080
6000 0.0849 8500
7000 0.0991 9920
8000 0.113 1.13 × 104
9000 0.127 1.27 × 104
1.00 × 104 0.142 1.42 × 104
2.00 × 104 0.283 2.83 × 104
3.00 × 104 0.425 4.25 × 104
4.00 × 104 0.566 5.67 × 104
5.00 × 104 0.708 7.08 × 104
6.00 × 104 0.849 8.50 × 104
7.00 × 104 0.991 9.92 × 104
8.00 × 104 1.13 1.13 × 105
9.00 × 104 1.27 1.27 × 105
1.00 × 105 1.42 1.42 × 105
2.00 × 105 2.83 2.83 × 105
2.10 × 105 2.97 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.00537 302
200 0.00895 504
300 0.0134 755
400 0.0179 1010
500 0.0224 1260
600 0.0268 1510
700 0.0313 1760
800 0.0358 2010
900 0.0403 2270
1000 0.0447 2520
2000 0.0895 5040
3000 0.134 7550
4000 0.179 1.01 × 104
5000 0.224 1.26 × 104
6000 0.268 1.51 × 104
7000 0.313 1.76 × 104
8000 0.358 2.01 × 104
9000 0.403 2.27 × 104
1.00 × 104 0.447 2.52 × 104
2.00 × 104 0.895 5.04 × 104
3.00 × 104 1.34 7.55 × 104
4.00 × 104 1.79 1.01 × 105
5.00 × 104 2.24 1.26 × 105
6.00 × 104 2.68 1.51 × 105
7.00 × 104 3.13 1.76 × 105
8.00 × 104 3.58 2.01 × 105
9.00 × 104 4.03 2.27 × 105
1.00 × 105 4.47 2.52 × 105
1.18 × 105 5.28 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0131 472
200 0.0218 787
300 0.0328 1180
400 0.0437 1570
500 0.0546 1970
600 0.0655 2360
700 0.0764 2750
800 0.0874 3150
900 0.0983 3540
1000 0.109 3930
2000 0.218 7870
3000 0.328 1.18 × 104
4000 0.437 1.57 × 104
5000 0.546 1.97 × 104
6000 0.655 2.36 × 104
7000 0.764 2.75 × 104
8000 0.874 3.15 × 104
9000 0.983 3.54 × 104
1.00 × 104 1.09 3.93 × 104
2.00 × 104 2.18 7.87 × 104
3.00 × 104 3.28 1.18 × 105
4.00 × 104 4.37 1.57 × 105
5.00 × 104 5.46 1.97 × 105
6.00 × 104 6.55 2.36 × 105
7.00 × 104 7.64 2.75 × 105
7.55 × 104 8.24 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0272 680
200 0.0453 1130
300 0.0679 1700
400 0.0906 2270
500 0.113 2830
600 0.136 3400
700 0.159 3970
800 0.181 4530
900 0.204 5100
1000 0.226 5670
2000 0.453 1.13 × 104
3000 0.679 1.70 × 104
4000 0.906 2.27 × 104
5000 1.13 2.83 × 104
6000 1.36 3.40 × 104
7000 1.59 3.97 × 104
8000 1.81 4.53 × 104
9000 2.04 5.10 × 104
1.00 × 104 2.26 5.67 × 104
2.00 × 104 4.53 1.13 × 105
3.00 × 104 6.79 1.70 × 105
4.00 × 104 9.06 2.27 × 105
5.00 × 104 11.3 2.83 × 105
5.24 × 104 11.9 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0859 1210
200 0.143 2010
300 0.215 3020
400 0.286 4030
500 0.358 5040
600 0.429 6040
700 0.501 7050
800 0.573 8060
900 0.644 9070
1000 0.716 1.01 × 104
2000 1.43 2.01 × 104
3000 2.15 3.02 × 104
4000 2.86 4.03 × 104
5000 3.58 5.04 × 104
6000 4.29 6.04 × 104
7000 5.01 7.05 × 104
8000 5.73 8.06 × 104
9000 6.44 9.07 × 104
1.00 × 104 7.16 1.01 × 105
2.00 × 104 14.3 2.01 × 105
2.95 × 104 21.1 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.210 1890
200 0.349 3150
300 0.524 4720
400 0.699 6300
500 0.874 7870
600 1.05 9440
700 1.22 1.10 × 104
800 1.40 1.26 × 104
900 1.57 1.42 × 104
1000 1.75 1.57 × 104
2000 3.49 3.15 × 104
3000 5.24 4.72 × 104
4000 6.99 6.30 × 104
5000 8.74 7.87 × 104
6000 10.5 9.44 × 104
7000 12.2 1.10 × 105
8000 14.0 1.26 × 105
8290 14.5 1.30 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.435 2720
200 0.725 4530
300 1.09 6800
400 1.45 9070
500 1.81 1.13 × 104
600 2.17 1.36 × 104
700 2.54 1.59 × 104
800 2.90 1.81 × 104
900 3.26 2.04 × 104
1000 3.62 2.27 × 104
2000 7.25 4.53 × 104
3000 10.9 6.80 × 104
4000 14.5 9.06 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.805 3700
200 1.34 6170
300 2.01 9250
400 2.68 1.23 × 104
500 3.36 1.54 × 104
600 4.03 1.85 × 104
700 4.70 2.16 × 104
800 5.37 2.47 × 104
900 6.04 2.78 × 104
1000 6.71 3.08 × 104
2000 13.4 6.17 × 104
2160 14.5 6.65 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 1.37 4840
200 2.29 8060
300 3.44 1.21 × 104
400 4.58 1.61 × 104
500 5.73 2.01 × 104
600 6.87 2.42 × 104
700 8.02 2.82 × 104
800 9.16 3.22 × 104
900 10.3 3.63 × 104
1000 11.5 4.03 × 104
1260 14.5 5.10 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 2.20 6120
200 3.67 1.02 × 104
300 5.50 1.53 × 104
400 7.34 2.04 × 104
500 9.17 2.55 × 104
600 11.0 3.06 × 104
700 12.8 3.57 × 104
789 14.5 4.03 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 3.35 7550
200 5.59 1.26 × 104
300 8.39 1.89 × 104
400 11.2 2.52 × 104
500 14.0 3.15 × 104
518 14.5 3.26 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 8.19 1.18 × 104
200 13.7 1.97 × 104
212 14.5 2.09 × 104
Additional Information
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