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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W14 × 90
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 = 999 in4) for the W14 × 90 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 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.61 × 10-6 7.30
100 2.90 × 10-6 8.12
200 5.80 × 10-6 16.2
300 8.69 × 10-6 24.3
400 1.16 × 10-5 32.5
500 1.45 × 10-5 40.6
600 1.74 × 10-5 48.7
700 2.03 × 10-5 56.8
800 2.32 × 10-5 64.9
900 2.61 × 10-5 73.0
1000 2.90 × 10-5 81.2
2000 5.80 × 10-5 162
3000 8.69 × 10-5 243
4000 1.16 × 10-4 325
5000 1.45 × 10-4 406
6000 1.74 × 10-4 487
7000 2.03 × 10-4 568
8000 2.32 × 10-4 649
9000 2.61 × 10-4 730
1.00 × 104 2.90 × 10-4 812
2.00 × 104 5.80 × 10-4 1620
3.00 × 104 8.69 × 10-4 2430
4.00 × 104 0.00116 3250
5.00 × 104 0.00145 4060
6.00 × 104 0.00174 4870
7.00 × 104 0.00203 5680
8.00 × 104 0.00232 6490
9.00 × 104 0.00261 7300
1.00 × 105 0.00290 8120
2.00 × 105 0.00580 1.62 × 104
3.00 × 105 0.00869 2.43 × 104
4.00 × 105 0.0116 3.25 × 104
5.00 × 105 0.0145 4.06 × 104
6.00 × 105 0.0174 4.87 × 104
7.00 × 105 0.0203 5.68 × 104
8.00 × 105 0.0232 6.49 × 104
9.00 × 105 0.0261 7.30 × 104
1.00 × 106 0.0290 8.12 × 104
2.00 × 106 0.0580 1.62 × 105
3.00 × 106 0.0869 2.43 × 105
3.66 × 106 0.106 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.01 × 10-5 20.3
100 2.24 × 10-5 22.5
200 4.47 × 10-5 45.1
300 6.71 × 10-5 67.6
400 8.94 × 10-5 90.2
500 1.12 × 10-4 113
600 1.34 × 10-4 135
700 1.57 × 10-4 158
800 1.79 × 10-4 180
900 2.01 × 10-4 203
1000 2.24 × 10-4 225
2000 4.47 × 10-4 451
3000 6.71 × 10-4 676
4000 8.94 × 10-4 902
5000 0.00112 1130
6000 0.00134 1350
7000 0.00157 1580
8000 0.00179 1800
9000 0.00201 2030
1.00 × 104 0.00224 2250
2.00 × 104 0.00447 4510
3.00 × 104 0.00671 6760
4.00 × 104 0.00894 9020
5.00 × 104 0.0112 1.13 × 104
6.00 × 104 0.0134 1.35 × 104
7.00 × 104 0.0157 1.58 × 104
8.00 × 104 0.0179 1.80 × 104
9.00 × 104 0.0201 2.03 × 104
1.00 × 105 0.0224 2.25 × 104
2.00 × 105 0.0447 4.51 × 104
3.00 × 105 0.0671 6.76 × 104
4.00 × 105 0.0894 9.02 × 104
5.00 × 105 0.112 1.13 × 105
6.00 × 105 0.134 1.35 × 105
7.00 × 105 0.157 1.58 × 105
8.00 × 105 0.179 1.80 × 105
9.00 × 105 0.201 2.03 × 105
1.00 × 106 0.224 2.25 × 105
1.32 × 106 0.295 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 3.22 × 10-4 81.2
100 3.58 × 10-4 90.2
200 7.16 × 10-4 180
300 0.00107 271
400 0.00143 361
500 0.00179 451
600 0.00215 541
700 0.00250 631
800 0.00286 721
900 0.00322 812
1000 0.00358 902
2000 0.00716 1800
3000 0.0107 2710
4000 0.0143 3610
5000 0.0179 4510
6000 0.0215 5410
7000 0.0250 6310
8000 0.0286 7210
9000 0.0322 8120
1.00 × 104 0.0358 9020
2.00 × 104 0.0716 1.80 × 104
3.00 × 104 0.107 2.71 × 104
4.00 × 104 0.143 3.61 × 104
5.00 × 104 0.179 4.51 × 104
6.00 × 104 0.215 5.41 × 104
7.00 × 104 0.250 6.31 × 104
8.00 × 104 0.286 7.21 × 104
9.00 × 104 0.322 8.12 × 104
1.00 × 105 0.358 9.02 × 104
2.00 × 105 0.716 1.80 × 105
3.00 × 105 1.07 2.71 × 105
3.29 × 105 1.18 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00163 183
100 0.00181 203
200 0.00362 406
300 0.00543 609
400 0.00725 812
500 0.00906 1010
600 0.0109 1220
700 0.0127 1420
800 0.0145 1620
900 0.0163 1830
1000 0.0181 2030
2000 0.0362 4060
3000 0.0543 6090
4000 0.0725 8120
5000 0.0906 1.01 × 104
6000 0.109 1.22 × 104
7000 0.127 1.42 × 104
8000 0.145 1.62 × 104
9000 0.163 1.83 × 104
1.00 × 104 0.181 2.03 × 104
2.00 × 104 0.362 4.06 × 104
3.00 × 104 0.543 6.09 × 104
4.00 × 104 0.725 8.12 × 104
5.00 × 104 0.906 1.01 × 105
6.00 × 104 1.09 1.22 × 105
7.00 × 104 1.27 1.42 × 105
8.00 × 104 1.45 1.62 × 105
9.00 × 104 1.63 1.83 × 105
1.00 × 105 1.81 2.03 × 105
1.46 × 105 2.65 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00515 325
100 0.00572 361
200 0.0114 721
300 0.0172 1080
400 0.0229 1440
500 0.0286 1800
600 0.0343 2160
700 0.0401 2530
800 0.0458 2890
900 0.0515 3250
1000 0.0572 3610
2000 0.114 7210
3000 0.172 1.08 × 104
4000 0.229 1.44 × 104
5000 0.286 1.80 × 104
6000 0.343 2.16 × 104
7000 0.401 2.53 × 104
8000 0.458 2.89 × 104
9000 0.515 3.25 × 104
1.00 × 104 0.572 3.61 × 104
2.00 × 104 1.14 7.21 × 104
3.00 × 104 1.72 1.08 × 105
4.00 × 104 2.29 1.44 × 105
5.00 × 104 2.86 1.80 × 105
6.00 × 104 3.43 2.16 × 105
7.00 × 104 4.01 2.53 × 105
8.00 × 104 4.58 2.89 × 105
8.23 × 104 4.71 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0126 507
100 0.0140 564
200 0.0280 1130
300 0.0419 1690
400 0.0559 2250
500 0.0699 2820
600 0.0839 3380
700 0.0978 3950
800 0.112 4510
900 0.126 5070
1000 0.140 5640
2000 0.280 1.13 × 104
3000 0.419 1.69 × 104
4000 0.559 2.25 × 104
5000 0.699 2.82 × 104
6000 0.839 3.38 × 104
7000 0.978 3.95 × 104
8000 1.12 4.51 × 104
9000 1.26 5.07 × 104
1.00 × 104 1.40 5.64 × 104
2.00 × 104 2.80 1.13 × 105
3.00 × 104 4.19 1.69 × 105
4.00 × 104 5.59 2.25 × 105
5.00 × 104 6.99 2.82 × 105
5.27 × 104 7.37 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0261 730
100 0.0290 812
200 0.0580 1620
300 0.0869 2430
400 0.116 3250
500 0.145 4060
600 0.174 4870
700 0.203 5680
800 0.232 6490
900 0.261 7300
1000 0.290 8120
2000 0.580 1.62 × 104
3000 0.869 2.43 × 104
4000 1.16 3.25 × 104
5000 1.45 4.06 × 104
6000 1.74 4.87 × 104
7000 2.03 5.68 × 104
8000 2.32 6.49 × 104
9000 2.61 7.30 × 104
1.00 × 104 2.90 8.12 × 104
2.00 × 104 5.80 1.62 × 105
3.00 × 104 8.69 2.43 × 105
3.66 × 104 10.6 2.97 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0824 1300
100 0.0916 1440
200 0.183 2890
300 0.275 4330
400 0.366 5770
500 0.458 7210
600 0.550 8660
700 0.641 1.01 × 104
800 0.733 1.15 × 104
900 0.824 1.30 × 104
1000 0.916 1.44 × 104
2000 1.83 2.89 × 104
3000 2.75 4.33 × 104
4000 3.66 5.77 × 104
5000 4.58 7.21 × 104
6000 5.50 8.66 × 104
7000 6.41 1.01 × 105
8000 7.33 1.15 × 105
9000 8.24 1.30 × 105
1.00 × 104 9.16 1.44 × 105
1.53 × 104 14.0 2.21 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.201 2030
100 0.224 2250
200 0.447 4510
300 0.671 6760
400 0.894 9020
500 1.12 1.13 × 104
600 1.34 1.35 × 104
700 1.57 1.58 × 104
800 1.79 1.80 × 104
900 2.01 2.03 × 104
1000 2.24 2.25 × 104
2000 4.47 4.51 × 104
3000 6.71 6.76 × 104
4000 8.94 9.02 × 104
5000 11.2 1.13 × 105
6000 13.4 1.35 × 105
6270 14.0 1.41 × 105
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.417 2920
100 0.464 3250
200 0.927 6490
300 1.39 9740
400 1.85 1.30 × 104
500 2.32 1.62 × 104
600 2.78 1.95 × 104
700 3.25 2.27 × 104
800 3.71 2.60 × 104
900 4.17 2.92 × 104
1000 4.64 3.25 × 104
2000 9.27 6.49 × 104
3000 13.9 9.74 × 104
3020 14.0 9.82 × 104
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.773 3980
100 0.859 4420
200 1.72 8840
300 2.58 1.33 × 104
400 3.44 1.77 × 104
500 4.30 2.21 × 104
600 5.15 2.65 × 104
700 6.01 3.09 × 104
800 6.87 3.54 × 104
900 7.73 3.98 × 104
1000 8.59 4.42 × 104
1630 14.0 7.21 × 104
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.32 5190
100 1.47 5770
200 2.93 1.15 × 104
300 4.40 1.73 × 104
400 5.86 2.31 × 104
500 7.33 2.89 × 104
600 8.79 3.46 × 104
700 10.3 4.04 × 104
800 11.7 4.62 × 104
900 13.2 5.19 × 104
957 14.0 5.52 × 104
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.11 6570
100 2.35 7300
200 4.69 1.46 × 104
300 7.04 2.19 × 104
400 9.39 2.92 × 104
500 11.7 3.65 × 104
597 14.0 4.36 × 104
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 3.22 8120
100 3.58 9020
200 7.16 1.80 × 104
300 10.7 2.71 × 104
392 14.0 3.53 × 104
Steel I Beam: W14 × 90 (Wide Flange 14 inch tall × 90 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 7.86 1.27 × 104
100 8.73 1.41 × 104
161 14.0 2.26 × 104
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