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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W14 × 48
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 = 485 in4) for the W14 × 48 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 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 2.87 × 10-6 7.89
50.0 2.98 × 10-6 8.22
60.0 3.58 × 10-6 9.87
70.0 4.18 × 10-6 11.5
80.0 4.78 × 10-6 13.2
90.0 5.37 × 10-6 14.8
100 5.97 × 10-6 16.4
200 1.19 × 10-5 32.9
300 1.79 × 10-5 49.3
400 2.39 × 10-5 65.8
500 2.98 × 10-5 82.2
600 3.58 × 10-5 98.7
700 4.18 × 10-5 115
800 4.78 × 10-5 132
900 5.37 × 10-5 148
1000 5.97 × 10-5 164
2000 1.19 × 10-4 329
3000 1.79 × 10-4 493
4000 2.39 × 10-4 658
5000 2.98 × 10-4 822
6000 3.58 × 10-4 987
7000 4.18 × 10-4 1150
8000 4.78 × 10-4 1320
9000 5.37 × 10-4 1480
1.00 × 104 5.97 × 10-4 1640
2.00 × 104 0.00119 3290
3.00 × 104 0.00179 4930
4.00 × 104 0.00239 6580
5.00 × 104 0.00298 8220
6.00 × 104 0.00358 9870
7.00 × 104 0.00418 1.15 × 104
8.00 × 104 0.00478 1.32 × 104
9.00 × 104 0.00537 1.48 × 104
1.00 × 105 0.00597 1.64 × 104
2.00 × 105 0.0119 3.29 × 104
3.00 × 105 0.0179 4.93 × 104
4.00 × 105 0.0239 6.58 × 104
5.00 × 105 0.0298 8.22 × 104
6.00 × 105 0.0358 9.87 × 104
7.00 × 105 0.0418 1.15 × 105
8.00 × 105 0.0478 1.32 × 105
9.00 × 105 0.0537 1.48 × 105
1.00 × 106 0.0597 1.64 × 105
1.81 × 106 0.108 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 2.21 × 10-5 21.9
50.0 2.30 × 10-5 22.8
60.0 2.76 × 10-5 27.4
70.0 3.22 × 10-5 32.0
80.0 3.68 × 10-5 36.5
90.0 4.15 × 10-5 41.1
100 4.61 × 10-5 45.7
200 9.21 × 10-5 91.4
300 1.38 × 10-4 137
400 1.84 × 10-4 183
500 2.30 × 10-4 228
600 2.76 × 10-4 274
700 3.22 × 10-4 320
800 3.68 × 10-4 365
900 4.15 × 10-4 411
1000 4.61 × 10-4 457
2000 9.21 × 10-4 914
3000 0.00138 1370
4000 0.00184 1830
5000 0.00230 2280
6000 0.00276 2740
7000 0.00322 3200
8000 0.00368 3650
9000 0.00415 4110
1.00 × 104 0.00461 4570
2.00 × 104 0.00921 9140
3.00 × 104 0.0138 1.37 × 104
4.00 × 104 0.0184 1.83 × 104
5.00 × 104 0.0230 2.28 × 104
6.00 × 104 0.0276 2.74 × 104
7.00 × 104 0.0322 3.20 × 104
8.00 × 104 0.0368 3.65 × 104
9.00 × 104 0.0415 4.11 × 104
1.00 × 105 0.0461 4.57 × 104
2.00 × 105 0.0921 9.14 × 104
3.00 × 105 0.138 1.37 × 105
4.00 × 105 0.184 1.83 × 105
5.00 × 105 0.230 2.28 × 105
6.00 × 105 0.276 2.74 × 105
6.50 × 105 0.300 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 3.54 × 10-4 87.7
50.0 3.68 × 10-4 91.4
60.0 4.42 × 10-4 110
70.0 5.16 × 10-4 128
80.0 5.90 × 10-4 146
90.0 6.63 × 10-4 164
100 7.37 × 10-4 183
200 0.00147 365
300 0.00221 548
400 0.00295 731
500 0.00368 914
600 0.00442 1100
700 0.00516 1280
800 0.00590 1460
900 0.00663 1640
1000 0.00737 1830
2000 0.0147 3650
3000 0.0221 5480
4000 0.0295 7310
5000 0.0368 9140
6000 0.0442 1.10 × 104
7000 0.0516 1.28 × 104
8000 0.0590 1.46 × 104
9000 0.0663 1.64 × 104
1.00 × 104 0.0737 1.83 × 104
2.00 × 104 0.147 3.65 × 104
3.00 × 104 0.221 5.48 × 104
4.00 × 104 0.295 7.31 × 104
5.00 × 104 0.368 9.14 × 104
6.00 × 104 0.442 1.10 × 105
7.00 × 104 0.516 1.28 × 105
8.00 × 104 0.590 1.46 × 105
9.00 × 104 0.663 1.64 × 105
1.00 × 105 0.737 1.83 × 105
1.63 × 105 1.20 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.00179 197
50.0 0.00187 206
60.0 0.00224 247
70.0 0.00261 288
80.0 0.00298 329
90.0 0.00336 370
100 0.00373 411
200 0.00746 822
300 0.0112 1230
400 0.0149 1640
500 0.0187 2060
600 0.0224 2470
700 0.0261 2880
800 0.0298 3290
900 0.0336 3700
1000 0.0373 4110
2000 0.0746 8220
3000 0.112 1.23 × 104
4000 0.149 1.64 × 104
5000 0.187 2.06 × 104
6000 0.224 2.47 × 104
7000 0.261 2.88 × 104
8000 0.298 3.29 × 104
9000 0.336 3.70 × 104
1.00 × 104 0.373 4.11 × 104
2.00 × 104 0.746 8.22 × 104
3.00 × 104 1.12 1.23 × 105
4.00 × 104 1.49 1.64 × 105
5.00 × 104 1.87 2.06 × 105
6.00 × 104 2.24 2.47 × 105
7.00 × 104 2.61 2.88 × 105
7.23 × 104 2.70 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.00566 351
50.0 0.00590 365
60.0 0.00707 439
70.0 0.00825 512
80.0 0.00943 585
90.0 0.0106 658
100 0.0118 731
200 0.0236 1460
300 0.0354 2190
400 0.0472 2920
500 0.0590 3650
600 0.0707 4390
700 0.0825 5120
800 0.0943 5850
900 0.106 6580
1000 0.118 7310
2000 0.236 1.46 × 104
3000 0.354 2.19 × 104
4000 0.472 2.92 × 104
5000 0.590 3.65 × 104
6000 0.707 4.39 × 104
7000 0.825 5.12 × 104
8000 0.943 5.85 × 104
9000 1.06 6.58 × 104
1.00 × 104 1.18 7.31 × 104
2.00 × 104 2.36 1.46 × 105
3.00 × 104 3.54 2.19 × 105
4.00 × 104 4.72 2.92 × 105
4.06 × 104 4.79 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0138 548
50.0 0.0144 571
60.0 0.0173 685
70.0 0.0202 799
80.0 0.0230 914
90.0 0.0259 1030
100 0.0288 1140
200 0.0576 2280
300 0.0864 3430
400 0.115 4570
500 0.144 5710
600 0.173 6850
700 0.202 7990
800 0.230 9140
900 0.259 1.03 × 104
1000 0.288 1.14 × 104
2000 0.576 2.28 × 104
3000 0.864 3.43 × 104
4000 1.15 4.57 × 104
5000 1.44 5.71 × 104
6000 1.73 6.85 × 104
7000 2.02 7.99 × 104
8000 2.30 9.14 × 104
9000 2.59 1.03 × 105
1.00 × 104 2.88 1.14 × 105
2.00 × 104 5.76 2.28 × 105
2.60 × 104 7.49 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0287 789
50.0 0.0298 822
60.0 0.0358 987
70.0 0.0418 1150
80.0 0.0478 1320
90.0 0.0537 1480
100 0.0597 1640
200 0.119 3290
300 0.179 4930
400 0.239 6580
500 0.298 8220
600 0.358 9870
700 0.418 1.15 × 104
800 0.478 1.32 × 104
900 0.537 1.48 × 104
1000 0.597 1.64 × 104
2000 1.19 3.29 × 104
3000 1.79 4.93 × 104
4000 2.39 6.58 × 104
5000 2.98 8.22 × 104
6000 3.58 9.87 × 104
7000 4.18 1.15 × 105
8000 4.78 1.32 × 105
9000 5.37 1.48 × 105
1.00 × 104 5.97 1.64 × 105
1.81 × 104 10.8 2.97 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0906 1400
50.0 0.0943 1460
60.0 0.113 1750
70.0 0.132 2050
80.0 0.151 2340
90.0 0.170 2630
100 0.189 2920
200 0.377 5850
300 0.566 8770
400 0.755 1.17 × 104
500 0.943 1.46 × 104
600 1.13 1.75 × 104
700 1.32 2.05 × 104
800 1.51 2.34 × 104
900 1.70 2.63 × 104
1000 1.89 2.92 × 104
2000 3.77 5.85 × 104
3000 5.66 8.77 × 104
4000 7.55 1.17 × 105
5000 9.43 1.46 × 105
6000 11.3 1.75 × 105
7000 13.2 2.05 × 105
7310 13.8 2.14 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.221 2190
50.0 0.230 2280
60.0 0.276 2740
70.0 0.322 3200
80.0 0.368 3650
90.0 0.415 4110
100 0.461 4570
200 0.921 9140
300 1.38 1.37 × 104
400 1.84 1.83 × 104
500 2.30 2.28 × 104
600 2.76 2.74 × 104
700 3.22 3.20 × 104
800 3.68 3.65 × 104
900 4.15 4.11 × 104
1000 4.61 4.57 × 104
2000 9.21 9.14 × 104
2990 13.8 1.37 × 105
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.458 3160
50.0 0.478 3290
60.0 0.573 3950
70.0 0.669 4600
80.0 0.764 5260
90.0 0.860 5920
100 0.955 6580
200 1.91 1.32 × 104
300 2.87 1.97 × 104
400 3.82 2.63 × 104
500 4.78 3.29 × 104
600 5.73 3.95 × 104
700 6.69 4.60 × 104
800 7.64 5.26 × 104
900 8.60 5.92 × 104
1000 9.55 6.58 × 104
1440 13.8 9.50 × 104
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.849 4300
50.0 0.885 4480
60.0 1.06 5370
70.0 1.24 6270
80.0 1.42 7160
90.0 1.59 8060
100 1.77 8950
200 3.54 1.79 × 104
300 5.31 2.69 × 104
400 7.08 3.58 × 104
500 8.85 4.48 × 104
600 10.6 5.37 × 104
700 12.4 6.27 × 104
779 13.8 6.98 × 104
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 1.45 5610
50.0 1.51 5850
60.0 1.81 7020
70.0 2.11 8190
80.0 2.41 9350
90.0 2.72 1.05 × 104
100 3.02 1.17 × 104
200 6.04 2.34 × 104
300 9.06 3.51 × 104
400 12.1 4.68 × 104
457 13.8 5.34 × 104
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 2.32 7100
50.0 2.42 7400
60.0 2.90 8880
70.0 3.38 1.04 × 104
80.0 3.87 1.18 × 104
90.0 4.35 1.33 × 104
100 4.84 1.48 × 104
200 9.67 2.96 × 104
285 13.8 4.22 × 104
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 3.54 8770
50.0 3.68 9140
60.0 4.42 1.10 × 104
70.0 5.16 1.28 × 104
80.0 5.90 1.46 × 104
90.0 6.63 1.64 × 104
100 7.37 1.83 × 104
187 13.8 3.42 × 104
Steel I Beam: W14 × 48 (Wide Flange 14 inch tall × 48 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 8.64 1.37 × 104
50.0 9.00 1.43 × 104
60.0 10.8 1.71 × 104
70.0 12.6 2.00 × 104
76.6 13.8 2.19 × 104
Additional Information
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