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Wide Flange Steel I Beam: W18 × 46
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 150 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 1.55 × 10-6 7.88
50.0 1.68 × 10-6 8.56
60.0 2.02 × 10-6 10.3
70.0 2.35 × 10-6 12.0
80.0 2.69 × 10-6 13.7
90.0 3.03 × 10-6 15.4
100 3.36 × 10-6 17.1
200 6.72 × 10-6 34.2
300 1.01 × 10-5 51.4
400 1.34 × 10-5 68.5
500 1.68 × 10-5 85.6
600 2.02 × 10-5 103
700 2.35 × 10-5 120
800 2.69 × 10-5 137
900 3.03 × 10-5 154
1000 3.36 × 10-5 171
2000 6.72 × 10-5 342
3000 1.01 × 10-4 514
4000 1.34 × 10-4 685
5000 1.68 × 10-4 856
6000 2.02 × 10-4 1030
7000 2.35 × 10-4 1200
8000 2.69 × 10-4 1370
9000 3.03 × 10-4 1540
1.00 × 104 3.36 × 10-4 1710
2.00 × 104 6.72 × 10-4 3420
3.00 × 104 0.00101 5140
4.00 × 104 0.00134 6850
5.00 × 104 0.00168 8560
6.00 × 104 0.00202 1.03 × 104
7.00 × 104 0.00235 1.20 × 104
8.00 × 104 0.00269 1.37 × 104
9.00 × 104 0.00303 1.54 × 104
1.00 × 105 0.00336 1.71 × 104
2.00 × 105 0.00672 3.42 × 104
3.00 × 105 0.0101 5.14 × 104
4.00 × 105 0.0134 6.85 × 104
5.00 × 105 0.0168 8.56 × 104
6.00 × 105 0.0202 1.03 × 105
7.00 × 105 0.0235 1.20 × 105
8.00 × 105 0.0269 1.37 × 105
9.00 × 105 0.0303 1.54 × 105
1.00 × 106 0.0336 1.71 × 105
1.73 × 106 0.0583 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 1.19 × 10-5 21.9
50.0 1.30 × 10-5 23.8
60.0 1.56 × 10-5 28.5
70.0 1.82 × 10-5 33.3
80.0 2.08 × 10-5 38.0
90.0 2.33 × 10-5 42.8
100 2.59 × 10-5 47.6
200 5.19 × 10-5 95.1
300 7.78 × 10-5 143
400 1.04 × 10-4 190
500 1.30 × 10-4 238
600 1.56 × 10-4 285
700 1.82 × 10-4 333
800 2.08 × 10-4 380
900 2.33 × 10-4 428
1000 2.59 × 10-4 476
2000 5.19 × 10-4 951
3000 7.78 × 10-4 1430
4000 0.00104 1900
5000 0.00130 2380
6000 0.00156 2850
7000 0.00182 3330
8000 0.00208 3800
9000 0.00233 4280
1.00 × 104 0.00259 4760
2.00 × 104 0.00519 9510
3.00 × 104 0.00778 1.43 × 104
4.00 × 104 0.0104 1.90 × 104
5.00 × 104 0.0130 2.38 × 104
6.00 × 104 0.0156 2.85 × 104
7.00 × 104 0.0182 3.33 × 104
8.00 × 104 0.0208 3.80 × 104
9.00 × 104 0.0233 4.28 × 104
1.00 × 105 0.0259 4.76 × 104
2.00 × 105 0.0519 9.51 × 104
3.00 × 105 0.0778 1.43 × 105
4.00 × 105 0.104 1.90 × 105
5.00 × 105 0.130 2.38 × 105
6.00 × 105 0.156 2.85 × 105
6.25 × 105 0.162 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 1.91 × 10-4 87.5
50.0 2.08 × 10-4 95.1
60.0 2.49 × 10-4 114
70.0 2.91 × 10-4 133
80.0 3.32 × 10-4 152
90.0 3.74 × 10-4 171
100 4.15 × 10-4 190
200 8.30 × 10-4 380
300 0.00125 571
400 0.00166 761
500 0.00208 951
600 0.00249 1140
700 0.00291 1330
800 0.00332 1520
900 0.00374 1710
1000 0.00415 1900
2000 0.00830 3800
3000 0.0125 5710
4000 0.0166 7610
5000 0.0208 9510
6000 0.0249 1.14 × 104
7000 0.0291 1.33 × 104
8000 0.0332 1.52 × 104
9000 0.0374 1.71 × 104
1.00 × 104 0.0415 1.90 × 104
2.00 × 104 0.0830 3.80 × 104
3.00 × 104 0.125 5.71 × 104
4.00 × 104 0.166 7.61 × 104
5.00 × 104 0.208 9.51 × 104
6.00 × 104 0.249 1.14 × 105
7.00 × 104 0.291 1.33 × 105
8.00 × 104 0.332 1.52 × 105
9.00 × 104 0.374 1.71 × 105
1.00 × 105 0.415 1.90 × 105
1.56 × 105 0.648 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 9.66 × 10-4 197
50.0 0.00105 214
60.0 0.00126 257
70.0 0.00147 300
80.0 0.00168 342
90.0 0.00189 385
100 0.00210 428
200 0.00420 856
300 0.00630 1280
400 0.00840 1710
500 0.0105 2140
600 0.0126 2570
700 0.0147 3000
800 0.0168 3420
900 0.0189 3850
1000 0.0210 4280
2000 0.0420 8560
3000 0.0630 1.28 × 104
4000 0.0840 1.71 × 104
5000 0.105 2.14 × 104
6000 0.126 2.57 × 104
7000 0.147 3.00 × 104
8000 0.168 3.42 × 104
9000 0.189 3.85 × 104
1.00 × 104 0.210 4.28 × 104
2.00 × 104 0.420 8.56 × 104
3.00 × 104 0.630 1.28 × 105
4.00 × 104 0.840 1.71 × 105
5.00 × 104 1.05 2.14 × 105
6.00 × 104 1.26 2.57 × 105
6.94 × 104 1.46 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 0.00305 350
50.0 0.00332 380
60.0 0.00398 457
70.0 0.00465 533
80.0 0.00531 609
90.0 0.00598 685
100 0.00664 761
200 0.0133 1520
300 0.0199 2280
400 0.0266 3040
500 0.0332 3800
600 0.0398 4570
700 0.0465 5330
800 0.0531 6090
900 0.0598 6850
1000 0.0664 7610
2000 0.133 1.52 × 104
3000 0.199 2.28 × 104
4000 0.266 3.04 × 104
5000 0.332 3.80 × 104
6000 0.398 4.57 × 104
7000 0.465 5.33 × 104
8000 0.531 6.09 × 104
9000 0.598 6.85 × 104
1.00 × 104 0.664 7.61 × 104
2.00 × 104 1.33 1.52 × 105
3.00 × 104 1.99 2.28 × 105
3.90 × 104 2.59 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 0.00746 547
50.0 0.00811 594
60.0 0.00973 713
70.0 0.0113 832
80.0 0.0130 951
90.0 0.0146 1070
100 0.0162 1190
200 0.0324 2380
300 0.0486 3570
400 0.0648 4760
500 0.0811 5940
600 0.0973 7130
700 0.113 8320
800 0.130 9510
900 0.146 1.07 × 104
1000 0.162 1.19 × 104
2000 0.324 2.38 × 104
3000 0.486 3.57 × 104
4000 0.648 4.76 × 104
5000 0.811 5.94 × 104
6000 0.973 7.13 × 104
7000 1.13 8.32 × 104
8000 1.30 9.51 × 104
9000 1.46 1.07 × 105
1.00 × 104 1.62 1.19 × 105
2.00 × 104 3.24 2.38 × 105
2.50 × 104 4.05 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 0.0155 788
50.0 0.0168 856
60.0 0.0202 1030
70.0 0.0235 1200
80.0 0.0269 1370
90.0 0.0303 1540
100 0.0336 1710
200 0.0672 3420
300 0.101 5140
400 0.134 6850
500 0.168 8560
600 0.202 1.03 × 104
700 0.235 1.20 × 104
800 0.269 1.37 × 104
900 0.303 1.54 × 104
1000 0.336 1.71 × 104
2000 0.672 3.42 × 104
3000 1.01 5.14 × 104
4000 1.34 6.85 × 104
5000 1.68 8.56 × 104
6000 2.02 1.03 × 105
7000 2.35 1.20 × 105
8000 2.69 1.37 × 105
9000 3.03 1.54 × 105
1.00 × 104 3.36 1.71 × 105
1.73 × 104 5.83 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 0.0489 1400
50.0 0.0531 1520
60.0 0.0637 1830
70.0 0.0744 2130
80.0 0.0850 2440
90.0 0.0956 2740
100 0.106 3040
200 0.212 6090
300 0.319 9130
400 0.425 1.22 × 104
500 0.531 1.52 × 104
600 0.637 1.83 × 104
700 0.744 2.13 × 104
800 0.850 2.44 × 104
900 0.956 2.74 × 104
1000 1.06 3.04 × 104
2000 2.12 6.09 × 104
3000 3.19 9.13 × 104
4000 4.25 1.22 × 105
5000 5.31 1.52 × 105
6000 6.37 1.83 × 105
7000 7.44 2.13 × 105
8000 8.50 2.44 × 105
9000 9.56 2.74 × 105
9760 10.4 2.97 × 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 0.119 2190
50.0 0.130 2380
60.0 0.156 2850
70.0 0.182 3330
80.0 0.208 3800
90.0 0.233 4280
100 0.259 4760
200 0.519 9510
300 0.778 1.43 × 104
400 1.04 1.90 × 104
500 1.30 2.38 × 104
600 1.56 2.85 × 104
700 1.82 3.33 × 104
800 2.08 3.80 × 104
900 2.33 4.28 × 104
1000 2.59 4.76 × 104
2000 5.19 9.51 × 104
3000 7.78 1.43 × 105
4000 10.4 1.90 × 105
5000 13.0 2.38 × 105
6000 15.6 2.85 × 105
6250 16.2 2.97 × 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 0.247 3150
50.0 0.269 3420
60.0 0.323 4110
70.0 0.376 4790
80.0 0.430 5480
90.0 0.484 6160
100 0.538 6850
200 1.08 1.37 × 104
300 1.61 2.05 × 104
400 2.15 2.74 × 104
500 2.69 3.42 × 104
600 3.23 4.11 × 104
700 3.76 4.79 × 104
800 4.30 5.48 × 104
900 4.84 6.16 × 104
1000 5.38 6.85 × 104
2000 10.8 1.37 × 105
3000 16.1 2.05 × 105
3360 18.1 2.30 × 105
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 0.458 4290
50.0 0.498 4660
60.0 0.598 5590
70.0 0.698 6530
80.0 0.797 7460
90.0 0.897 8390
100 0.996 9320
200 1.99 1.86 × 104
300 2.99 2.80 × 104
400 3.99 3.73 × 104
500 4.98 4.66 × 104
600 5.98 5.59 × 104
700 6.98 6.53 × 104
800 7.97 7.46 × 104
900 8.97 8.39 × 104
1000 9.96 9.32 × 104
1810 18.1 1.69 × 105
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 0.782 5600
50.0 0.850 6090
60.0 1.02 7310
70.0 1.19 8520
80.0 1.36 9740
90.0 1.53 1.10 × 104
100 1.70 1.22 × 104
200 3.40 2.44 × 104
300 5.10 3.65 × 104
400 6.80 4.87 × 104
500 8.50 6.09 × 104
600 10.2 7.31 × 104
700 11.9 8.52 × 104
800 13.6 9.74 × 104
900 15.3 1.10 × 105
1000 17.0 1.22 × 105
1060 18.1 1.29 × 105
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 1.25 7090
50.0 1.36 7700
60.0 1.63 9250
70.0 1.91 1.08 × 104
80.0 2.18 1.23 × 104
90.0 2.45 1.39 × 104
100 2.72 1.54 × 104
200 5.45 3.08 × 104
300 8.17 4.62 × 104
400 10.9 6.16 × 104
500 13.6 7.70 × 104
600 16.3 9.25 × 104
663 18.1 1.02 × 105
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 1.91 8750
50.0 2.08 9510
60.0 2.49 1.14 × 104
70.0 2.91 1.33 × 104
80.0 3.32 1.52 × 104
90.0 3.74 1.71 × 104
100 4.15 1.90 × 104
200 8.30 3.80 × 104
300 12.5 5.71 × 104
400 16.6 7.61 × 104
435 18.1 8.28 × 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 4.66 1.37 × 104
50.0 5.07 1.49 × 104
60.0 6.08 1.78 × 104
70.0 7.09 2.08 × 104
80.0 8.11 2.38 × 104
90.0 9.12 2.68 × 104
100 10.1 2.97 × 104
178 18.1 5.30 × 104
Steel I Beam: W18 × 46 (Wide Flange 18 inch tall × 46 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
46.0 9.66 1.97 × 104
50.0 10.5 2.14 × 104
60.0 12.6 2.57 × 104
70.0 14.7 3.00 × 104
80.0 16.8 3.42 × 104
86.0 18.1 3.68 × 104
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