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Wide Flange Steel I Beam: W18 × 46
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W18 × 46
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 712 in4) for the W18 × 46 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: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 3.87 × 10-6 7.88
50.0 4.20 × 10-6 8.56
60.0 5.04 × 10-6 10.3
70.0 5.88 × 10-6 12.0
80.0 6.72 × 10-6 13.7
90.0 7.56 × 10-6 15.4
100 8.40 × 10-6 17.1
200 1.68 × 10-5 34.2
300 2.52 × 10-5 51.4
400 3.36 × 10-5 68.5
500 4.20 × 10-5 85.6
600 5.04 × 10-5 103
700 5.88 × 10-5 120
800 6.72 × 10-5 137
900 7.56 × 10-5 154
1000 8.40 × 10-5 171
2000 1.68 × 10-4 342
3000 2.52 × 10-4 514
4000 3.36 × 10-4 685
5000 4.20 × 10-4 856
6000 5.04 × 10-4 1030
7000 5.88 × 10-4 1200
8000 6.72 × 10-4 1370
9000 7.56 × 10-4 1540
1.00 × 104 8.40 × 10-4 1710
2.00 × 104 0.00168 3420
3.00 × 104 0.00252 5140
4.00 × 104 0.00336 6850
5.00 × 104 0.00420 8560
6.00 × 104 0.00504 1.03 × 104
7.00 × 104 0.00588 1.20 × 104
8.00 × 104 0.00672 1.37 × 104
9.00 × 104 0.00756 1.54 × 104
1.00 × 105 0.00840 1.71 × 104
2.00 × 105 0.0168 3.42 × 104
3.00 × 105 0.0252 5.14 × 104
4.00 × 105 0.0336 6.85 × 104
5.00 × 105 0.0420 8.56 × 104
6.00 × 105 0.0504 1.03 × 105
7.00 × 105 0.0588 1.20 × 105
8.00 × 105 0.0672 1.37 × 105
9.00 × 105 0.0756 1.54 × 105
1.00 × 106 0.0840 1.71 × 105
1.73 × 106 0.146 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 2.98 × 10-5 21.9
50.0 3.24 × 10-5 23.8
60.0 3.89 × 10-5 28.5
70.0 4.54 × 10-5 33.3
80.0 5.19 × 10-5 38.0
90.0 5.84 × 10-5 42.8
100 6.48 × 10-5 47.6
200 1.30 × 10-4 95.1
300 1.95 × 10-4 143
400 2.59 × 10-4 190
500 3.24 × 10-4 238
600 3.89 × 10-4 285
700 4.54 × 10-4 333
800 5.19 × 10-4 380
900 5.84 × 10-4 428
1000 6.48 × 10-4 476
2000 0.00130 951
3000 0.00195 1430
4000 0.00259 1900
5000 0.00324 2380
6000 0.00389 2850
7000 0.00454 3330
8000 0.00519 3800
9000 0.00584 4280
1.00 × 104 0.00648 4760
2.00 × 104 0.0130 9510
3.00 × 104 0.0195 1.43 × 104
4.00 × 104 0.0259 1.90 × 104
5.00 × 104 0.0324 2.38 × 104
6.00 × 104 0.0389 2.85 × 104
7.00 × 104 0.0454 3.33 × 104
8.00 × 104 0.0519 3.80 × 104
9.00 × 104 0.0584 4.28 × 104
1.00 × 105 0.0648 4.76 × 104
2.00 × 105 0.130 9.51 × 104
3.00 × 105 0.195 1.43 × 105
4.00 × 105 0.259 1.90 × 105
5.00 × 105 0.324 2.38 × 105
6.00 × 105 0.389 2.85 × 105
6.25 × 105 0.405 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 4.77 × 10-4 87.5
50.0 5.19 × 10-4 95.1
60.0 6.23 × 10-4 114
70.0 7.26 × 10-4 133
80.0 8.30 × 10-4 152
90.0 9.34 × 10-4 171
100 0.00104 190
200 0.00208 380
300 0.00311 571
400 0.00415 761
500 0.00519 951
600 0.00623 1140
700 0.00726 1330
800 0.00830 1520
900 0.00934 1710
1000 0.0104 1900
2000 0.0208 3800
3000 0.0311 5710
4000 0.0415 7610
5000 0.0519 9510
6000 0.0623 1.14 × 104
7000 0.0726 1.33 × 104
8000 0.0830 1.52 × 104
9000 0.0934 1.71 × 104
1.00 × 104 0.104 1.90 × 104
2.00 × 104 0.208 3.80 × 104
3.00 × 104 0.311 5.71 × 104
4.00 × 104 0.415 7.61 × 104
5.00 × 104 0.519 9.51 × 104
6.00 × 104 0.623 1.14 × 105
7.00 × 104 0.726 1.33 × 105
8.00 × 104 0.830 1.52 × 105
9.00 × 104 0.934 1.71 × 105
1.00 × 105 1.04 1.90 × 105
1.56 × 105 1.62 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.00242 197
50.0 0.00263 214
60.0 0.00315 257
70.0 0.00368 300
80.0 0.00420 342
90.0 0.00473 385
100 0.00525 428
200 0.0105 856
300 0.0158 1280
400 0.0210 1710
500 0.0263 2140
600 0.0315 2570
700 0.0368 3000
800 0.0420 3420
900 0.0473 3850
1000 0.0525 4280
2000 0.105 8560
3000 0.158 1.28 × 104
4000 0.210 1.71 × 104
5000 0.263 2.14 × 104
6000 0.315 2.57 × 104
7000 0.368 3.00 × 104
8000 0.420 3.42 × 104
9000 0.473 3.85 × 104
1.00 × 104 0.525 4.28 × 104
2.00 × 104 1.05 8.56 × 104
3.00 × 104 1.58 1.28 × 105
4.00 × 104 2.10 1.71 × 105
5.00 × 104 2.63 2.14 × 105
6.00 × 104 3.15 2.57 × 105
6.94 × 104 3.64 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.00764 350
50.0 0.00830 380
60.0 0.00996 457
70.0 0.0116 533
80.0 0.0133 609
90.0 0.0149 685
100 0.0166 761
200 0.0332 1520
300 0.0498 2280
400 0.0664 3040
500 0.0830 3800
600 0.0996 4570
700 0.116 5330
800 0.133 6090
900 0.149 6850
1000 0.166 7610
2000 0.332 1.52 × 104
3000 0.498 2.28 × 104
4000 0.664 3.04 × 104
5000 0.830 3.80 × 104
6000 0.996 4.57 × 104
7000 1.16 5.33 × 104
8000 1.33 6.09 × 104
9000 1.49 6.85 × 104
1.00 × 104 1.66 7.61 × 104
2.00 × 104 3.32 1.52 × 105
3.00 × 104 4.98 2.28 × 105
3.90 × 104 6.48 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.0186 547
50.0 0.0203 594
60.0 0.0243 713
70.0 0.0284 832
80.0 0.0324 951
90.0 0.0365 1070
100 0.0405 1190
200 0.0811 2380
300 0.122 3570
400 0.162 4760
500 0.203 5940
600 0.243 7130
700 0.284 8320
800 0.324 9510
900 0.365 1.07 × 104
1000 0.405 1.19 × 104
2000 0.811 2.38 × 104
3000 1.22 3.57 × 104
4000 1.62 4.76 × 104
5000 2.03 5.94 × 104
6000 2.43 7.13 × 104
7000 2.84 8.32 × 104
8000 3.24 9.51 × 104
9000 3.65 1.07 × 105
1.00 × 104 4.05 1.19 × 105
2.00 × 104 8.11 2.38 × 105
2.50 × 104 10.1 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.0387 788
50.0 0.0420 856
60.0 0.0504 1030
70.0 0.0588 1200
80.0 0.0672 1370
90.0 0.0756 1540
100 0.0840 1710
200 0.168 3420
300 0.252 5140
400 0.336 6850
500 0.420 8560
600 0.504 1.03 × 104
700 0.588 1.20 × 104
800 0.672 1.37 × 104
900 0.756 1.54 × 104
1000 0.840 1.71 × 104
2000 1.68 3.42 × 104
3000 2.52 5.14 × 104
4000 3.36 6.85 × 104
5000 4.20 8.56 × 104
6000 5.04 1.03 × 105
7000 5.88 1.20 × 105
8000 6.72 1.37 × 105
9000 7.56 1.54 × 105
1.00 × 104 8.40 1.71 × 105
1.73 × 104 14.6 2.97 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.122 1400
50.0 0.133 1520
60.0 0.159 1830
70.0 0.186 2130
80.0 0.212 2440
90.0 0.239 2740
100 0.266 3040
200 0.531 6090
300 0.797 9130
400 1.06 1.22 × 104
500 1.33 1.52 × 104
600 1.59 1.83 × 104
700 1.86 2.13 × 104
800 2.12 2.44 × 104
900 2.39 2.74 × 104
1000 2.66 3.04 × 104
2000 5.31 6.09 × 104
3000 7.97 9.13 × 104
4000 10.6 1.22 × 105
5000 13.3 1.52 × 105
6000 15.9 1.83 × 105
6800 18.1 2.07 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.298 2190
50.0 0.324 2380
60.0 0.389 2850
70.0 0.454 3330
80.0 0.519 3800
90.0 0.584 4280
100 0.648 4760
200 1.30 9510
300 1.95 1.43 × 104
400 2.59 1.90 × 104
500 3.24 2.38 × 104
600 3.89 2.85 × 104
700 4.54 3.33 × 104
800 5.19 3.80 × 104
900 5.84 4.28 × 104
1000 6.48 4.76 × 104
2000 13.0 9.51 × 104
2790 18.1 1.32 × 105
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 0.619 3150
50.0 0.672 3420
60.0 0.807 4110
70.0 0.941 4790
80.0 1.08 5480
90.0 1.21 6160
100 1.34 6850
200 2.69 1.37 × 104
300 4.03 2.05 × 104
400 5.38 2.74 × 104
500 6.72 3.42 × 104
600 8.07 4.11 × 104
700 9.41 4.79 × 104
800 10.8 5.48 × 104
900 12.1 6.16 × 104
1000 13.4 6.85 × 104
1340 18.1 9.20 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 1.15 4290
50.0 1.25 4660
60.0 1.49 5590
70.0 1.74 6530
80.0 1.99 7460
90.0 2.24 8390
100 2.49 9320
200 4.98 1.86 × 104
300 7.47 2.80 × 104
400 9.96 3.73 × 104
500 12.5 4.66 × 104
600 14.9 5.59 × 104
700 17.4 6.53 × 104
725 18.1 6.76 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 1.95 5600
50.0 2.12 6090
60.0 2.55 7310
70.0 2.97 8520
80.0 3.40 9740
90.0 3.82 1.10 × 104
100 4.25 1.22 × 104
200 8.50 2.44 × 104
300 12.7 3.65 × 104
400 17.0 4.87 × 104
425 18.1 5.17 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 3.13 7090
50.0 3.40 7700
60.0 4.08 9250
70.0 4.77 1.08 × 104
80.0 5.45 1.23 × 104
90.0 6.13 1.39 × 104
100 6.81 1.54 × 104
200 13.6 3.08 × 104
265 18.1 4.09 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 4.77 8750
50.0 5.19 9510
60.0 6.23 1.14 × 104
70.0 7.26 1.33 × 104
80.0 8.30 1.52 × 104
90.0 9.34 1.71 × 104
100 10.4 1.90 × 104
174 18.1 3.31 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 11.7 1.37 × 104
50.0 12.7 1.49 × 104
60.0 15.2 1.78 × 104
70.0 17.7 2.08 × 104
71.3 18.1 2.12 × 104
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