engineering fundamentals
Wide Flange Steel I Beam: W18 × 46
Home | Directory | Career | News | Industrial




Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 1.87 × 10-6 6.75
50.0 2.03 × 10-6 7.33
60.0 2.44 × 10-6 8.80
70.0 2.85 × 10-6 10.3
80.0 3.25 × 10-6 11.7
90.0 3.66 × 10-6 13.2
100 4.07 × 10-6 14.7
200 8.13 × 10-6 29.3
300 1.22 × 10-5 44.0
400 1.63 × 10-5 58.7
500 2.03 × 10-5 73.3
600 2.44 × 10-5 88.0
700 2.85 × 10-5 103
800 3.25 × 10-5 117
900 3.66 × 10-5 132
1000 4.07 × 10-5 147
2000 8.13 × 10-5 293
3000 1.22 × 10-4 440
4000 1.63 × 10-4 587
5000 2.03 × 10-4 733
6000 2.44 × 10-4 880
7000 2.85 × 10-4 1030
8000 3.25 × 10-4 1170
9000 3.66 × 10-4 1320
1.00 × 104 4.07 × 10-4 1470
2.00 × 104 8.13 × 10-4 2930
3.00 × 104 0.00122 4400
4.00 × 104 0.00163 5870
5.00 × 104 0.00203 7330
6.00 × 104 0.00244 8800
7.00 × 104 0.00285 1.03 × 104
8.00 × 104 0.00325 1.17 × 104
9.00 × 104 0.00366 1.32 × 104
1.00 × 105 0.00407 1.47 × 104
2.00 × 105 0.00813 2.93 × 104
3.00 × 105 0.0122 4.40 × 104
4.00 × 105 0.0163 5.87 × 104
5.00 × 105 0.0203 7.33 × 104
6.00 × 105 0.0244 8.80 × 104
7.00 × 105 0.0285 1.03 × 105
8.00 × 105 0.0325 1.17 × 105
9.00 × 105 0.0366 1.32 × 105
1.00 × 106 0.0407 1.47 × 105
2.00 × 106 0.0813 2.93 × 105
2.02 × 106 0.0823 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 1.44 × 10-5 18.7
50.0 1.57 × 10-5 20.4
60.0 1.88 × 10-5 24.4
70.0 2.20 × 10-5 28.5
80.0 2.51 × 10-5 32.6
90.0 2.82 × 10-5 36.7
100 3.14 × 10-5 40.7
200 6.27 × 10-5 81.5
300 9.41 × 10-5 122
400 1.25 × 10-4 163
500 1.57 × 10-4 204
600 1.88 × 10-4 244
700 2.20 × 10-4 285
800 2.51 × 10-4 326
900 2.82 × 10-4 367
1000 3.14 × 10-4 407
2000 6.27 × 10-4 815
3000 9.41 × 10-4 1220
4000 0.00125 1630
5000 0.00157 2040
6000 0.00188 2440
7000 0.00220 2850
8000 0.00251 3260
9000 0.00282 3670
1.00 × 104 0.00314 4070
2.00 × 104 0.00627 8150
3.00 × 104 0.00941 1.22 × 104
4.00 × 104 0.0125 1.63 × 104
5.00 × 104 0.0157 2.04 × 104
6.00 × 104 0.0188 2.44 × 104
7.00 × 104 0.0220 2.85 × 104
8.00 × 104 0.0251 3.26 × 104
9.00 × 104 0.0282 3.67 × 104
1.00 × 105 0.0314 4.07 × 104
2.00 × 105 0.0627 8.15 × 104
3.00 × 105 0.0941 1.22 × 105
4.00 × 105 0.125 1.63 × 105
5.00 × 105 0.157 2.04 × 105
6.00 × 105 0.188 2.44 × 105
7.00 × 105 0.220 2.85 × 105
7.29 × 105 0.229 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 2.31 × 10-4 75.0
50.0 2.51 × 10-4 81.5
60.0 3.01 × 10-4 97.8
70.0 3.51 × 10-4 114
80.0 4.02 × 10-4 130
90.0 4.52 × 10-4 147
100 5.02 × 10-4 163
200 0.00100 326
300 0.00151 489
400 0.00201 652
500 0.00251 815
600 0.00301 978
700 0.00351 1140
800 0.00402 1300
900 0.00452 1470
1000 0.00502 1630
2000 0.0100 3260
3000 0.0151 4890
4000 0.0201 6520
5000 0.0251 8150
6000 0.0301 9780
7000 0.0351 1.14 × 104
8000 0.0402 1.30 × 104
9000 0.0452 1.47 × 104
1.00 × 104 0.0502 1.63 × 104
2.00 × 104 0.100 3.26 × 104
3.00 × 104 0.151 4.89 × 104
4.00 × 104 0.201 6.52 × 104
5.00 × 104 0.251 8.15 × 104
6.00 × 104 0.301 9.78 × 104
7.00 × 104 0.351 1.14 × 105
8.00 × 104 0.402 1.30 × 105
9.00 × 104 0.452 1.47 × 105
1.00 × 105 0.502 1.63 × 105
1.82 × 105 0.915 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 0.00117 169
50.0 0.00127 183
60.0 0.00152 220
70.0 0.00178 257
80.0 0.00203 293
90.0 0.00229 330
100 0.00254 367
200 0.00508 733
300 0.00762 1100
400 0.0102 1470
500 0.0127 1830
600 0.0152 2200
700 0.0178 2570
800 0.0203 2930
900 0.0229 3300
1000 0.0254 3670
2000 0.0508 7330
3000 0.0762 1.10 × 104
4000 0.102 1.47 × 104
5000 0.127 1.83 × 104
6000 0.152 2.20 × 104
7000 0.178 2.57 × 104
8000 0.203 2.93 × 104
9000 0.229 3.30 × 104
1.00 × 104 0.254 3.67 × 104
2.00 × 104 0.508 7.33 × 104
3.00 × 104 0.762 1.10 × 105
4.00 × 104 1.02 1.47 × 105
5.00 × 104 1.27 1.83 × 105
6.00 × 104 1.52 2.20 × 105
7.00 × 104 1.78 2.57 × 105
8.00 × 104 2.03 2.93 × 105
8.10 × 104 2.06 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 0.00369 300
50.0 0.00402 326
60.0 0.00482 391
70.0 0.00562 456
80.0 0.00643 522
90.0 0.00723 587
100 0.00803 652
200 0.0161 1300
300 0.0241 1960
400 0.0321 2610
500 0.0402 3260
600 0.0482 3910
700 0.0562 4560
800 0.0643 5220
900 0.0723 5870
1000 0.0803 6520
2000 0.161 1.30 × 104
3000 0.241 1.96 × 104
4000 0.321 2.61 × 104
5000 0.402 3.26 × 104
6000 0.482 3.91 × 104
7000 0.562 4.56 × 104
8000 0.643 5.22 × 104
9000 0.723 5.87 × 104
1.00 × 104 0.803 6.52 × 104
2.00 × 104 1.61 1.30 × 105
3.00 × 104 2.41 1.96 × 105
4.00 × 104 3.21 2.61 × 105
4.56 × 104 3.66 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 0.00902 469
50.0 0.00980 509
60.0 0.0118 611
70.0 0.0137 713
80.0 0.0157 815
90.0 0.0176 917
100 0.0196 1020
200 0.0392 2040
300 0.0588 3060
400 0.0784 4070
500 0.0980 5090
600 0.118 6110
700 0.137 7130
800 0.157 8150
900 0.176 9170
1000 0.196 1.02 × 104
2000 0.392 2.04 × 104
3000 0.588 3.06 × 104
4000 0.784 4.07 × 104
5000 0.980 5.09 × 104
6000 1.18 6.11 × 104
7000 1.37 7.13 × 104
8000 1.57 8.15 × 104
9000 1.76 9.17 × 104
1.00 × 104 1.96 1.02 × 105
2.00 × 104 3.92 2.04 × 105
2.92 × 104 5.72 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 0.0187 675
50.0 0.0203 733
60.0 0.0244 880
70.0 0.0285 1030
80.0 0.0325 1170
90.0 0.0366 1320
100 0.0407 1470
200 0.0813 2930
300 0.122 4400
400 0.163 5870
500 0.203 7330
600 0.244 8800
700 0.285 1.03 × 104
800 0.325 1.17 × 104
900 0.366 1.32 × 104
1000 0.407 1.47 × 104
2000 0.813 2.93 × 104
3000 1.22 4.40 × 104
4000 1.63 5.87 × 104
5000 2.03 7.33 × 104
6000 2.44 8.80 × 104
7000 2.85 1.03 × 105
8000 3.25 1.17 × 105
9000 3.66 1.32 × 105
1.00 × 104 4.07 1.47 × 105
2.00 × 104 8.13 2.93 × 105
2.02 × 104 8.23 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 0.0591 1200
50.0 0.0643 1300
60.0 0.0771 1560
70.0 0.0900 1830
80.0 0.103 2090
90.0 0.116 2350
100 0.129 2610
200 0.257 5220
300 0.386 7820
400 0.514 1.04 × 104
500 0.643 1.30 × 104
600 0.771 1.56 × 104
700 0.900 1.83 × 104
800 1.03 2.09 × 104
900 1.16 2.35 × 104
1000 1.29 2.61 × 104
2000 2.57 5.22 × 104
3000 3.86 7.82 × 104
4000 5.14 1.04 × 105
5000 6.43 1.30 × 105
6000 7.71 1.56 × 105
7000 9.00 1.83 × 105
8000 10.3 2.09 × 105
9000 11.6 2.35 × 105
1.00 × 104 12.9 2.61 × 105
1.14 × 104 14.6 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 0.144 1870
50.0 0.157 2040
60.0 0.188 2440
70.0 0.220 2850
80.0 0.251 3260
90.0 0.282 3670
100 0.314 4070
200 0.627 8150
300 0.941 1.22 × 104
400 1.25 1.63 × 104
500 1.57 2.04 × 104
600 1.88 2.44 × 104
700 2.20 2.85 × 104
800 2.51 3.26 × 104
900 2.82 3.67 × 104
1000 3.14 4.07 × 104
2000 6.27 8.15 × 104
3000 9.41 1.22 × 105
4000 12.5 1.63 × 105
5000 15.7 2.04 × 105
5760 18.1 2.35 × 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 0.299 2700
50.0 0.325 2930
60.0 0.390 3520
70.0 0.455 4110
80.0 0.520 4690
90.0 0.586 5280
100 0.651 5870
200 1.30 1.17 × 104
300 1.95 1.76 × 104
400 2.60 2.35 × 104
500 3.25 2.93 × 104
600 3.90 3.52 × 104
700 4.55 4.11 × 104
800 5.20 4.69 × 104
900 5.86 5.28 × 104
1000 6.51 5.87 × 104
2000 13.0 1.17 × 105
2780 18.1 1.63 × 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 0.554 3670
50.0 0.603 3990
60.0 0.723 4790
70.0 0.844 5590
80.0 0.964 6390
90.0 1.08 7190
100 1.21 7990
200 2.41 1.60 × 104
300 3.62 2.40 × 104
400 4.82 3.19 × 104
500 6.03 3.99 × 104
600 7.23 4.79 × 104
700 8.44 5.59 × 104
800 9.64 6.39 × 104
900 10.8 7.19 × 104
1000 12.1 7.99 × 104
1500 18.1 1.20 × 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 0.946 4800
50.0 1.03 5220
60.0 1.23 6260
70.0 1.44 7300
80.0 1.64 8350
90.0 1.85 9390
100 2.06 1.04 × 104
200 4.11 2.09 × 104
300 6.17 3.13 × 104
400 8.22 4.17 × 104
500 10.3 5.22 × 104
600 12.3 6.26 × 104
700 14.4 7.30 × 104
800 16.4 8.35 × 104
878 18.1 9.16 × 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 1.52 6070
50.0 1.65 6600
60.0 1.98 7920
70.0 2.31 9240
80.0 2.63 1.06 × 104
90.0 2.96 1.19 × 104
100 3.29 1.32 × 104
200 6.59 2.64 × 104
300 9.88 3.96 × 104
400 13.2 5.28 × 104
500 16.5 6.60 × 104
548 18.1 7.24 × 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 2.31 7500
50.0 2.51 8150
60.0 3.01 9780
70.0 3.51 1.14 × 104
80.0 4.02 1.30 × 104
90.0 4.52 1.47 × 104
100 5.02 1.63 × 104
200 10.0 3.26 × 104
300 15.1 4.89 × 104
360 18.1 5.86 × 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 5.64 1.17 × 104
50.0 6.13 1.27 × 104
60.0 7.35 1.53 × 104
70.0 8.58 1.78 × 104
80.0 9.80 2.04 × 104
90.0 11.0 2.29 × 104
100 12.3 2.55 × 104
147 18.1 3.75 × 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 11.7 1.69 × 104
50.0 12.7 1.83 × 104
60.0 15.2 2.20 × 104
70.0 17.8 2.57 × 104
71.1 18.1 2.61 × 104
Additional Information
Home  About Us  Privacy  Disclaimer  Contact 

Copyright © 2019 eFunda, Inc.