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Wide Flange Steel I Beam: W18 × 46
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third 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 2.02 × 10-6 6.30
50.0 2.19 × 10-6 6.85
60.0 2.63 × 10-6 8.22
70.0 3.07 × 10-6 9.59
80.0 3.51 × 10-6 11.0
90.0 3.95 × 10-6 12.3
100 4.39 × 10-6 13.7
200 8.78 × 10-6 27.4
300 1.32 × 10-5 41.1
400 1.76 × 10-5 54.8
500 2.19 × 10-5 68.5
600 2.63 × 10-5 82.2
700 3.07 × 10-5 95.9
800 3.51 × 10-5 110
900 3.95 × 10-5 123
1000 4.39 × 10-5 137
2000 8.78 × 10-5 274
3000 1.32 × 10-4 411
4000 1.76 × 10-4 548
5000 2.19 × 10-4 685
6000 2.63 × 10-4 822
7000 3.07 × 10-4 959
8000 3.51 × 10-4 1100
9000 3.95 × 10-4 1230
1.00 × 104 4.39 × 10-4 1370
2.00 × 104 8.78 × 10-4 2740
3.00 × 104 0.00132 4110
4.00 × 104 0.00176 5480
5.00 × 104 0.00219 6850
6.00 × 104 0.00263 8220
7.00 × 104 0.00307 9590
8.00 × 104 0.00351 1.10 × 104
9.00 × 104 0.00395 1.23 × 104
1.00 × 105 0.00439 1.37 × 104
2.00 × 105 0.00878 2.74 × 104
3.00 × 105 0.0132 4.11 × 104
4.00 × 105 0.0176 5.48 × 104
5.00 × 105 0.0219 6.85 × 104
6.00 × 105 0.0263 8.22 × 104
7.00 × 105 0.0307 9.59 × 104
8.00 × 105 0.0351 1.10 × 105
9.00 × 105 0.0395 1.23 × 105
1.00 × 106 0.0439 1.37 × 105
2.00 × 106 0.0878 2.74 × 105
2.17 × 106 0.0952 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 1.56 × 10-5 17.5
50.0 1.69 × 10-5 19.0
60.0 2.03 × 10-5 22.8
70.0 2.37 × 10-5 26.6
80.0 2.71 × 10-5 30.4
90.0 3.05 × 10-5 34.2
100 3.39 × 10-5 38.0
200 6.77 × 10-5 76.1
300 1.02 × 10-4 114
400 1.35 × 10-4 152
500 1.69 × 10-4 190
600 2.03 × 10-4 228
700 2.37 × 10-4 266
800 2.71 × 10-4 304
900 3.05 × 10-4 342
1000 3.39 × 10-4 380
2000 6.77 × 10-4 761
3000 0.00102 1140
4000 0.00135 1520
5000 0.00169 1900
6000 0.00203 2280
7000 0.00237 2660
8000 0.00271 3040
9000 0.00305 3420
1.00 × 104 0.00339 3800
2.00 × 104 0.00677 7610
3.00 × 104 0.0102 1.14 × 104
4.00 × 104 0.0135 1.52 × 104
5.00 × 104 0.0169 1.90 × 104
6.00 × 104 0.0203 2.28 × 104
7.00 × 104 0.0237 2.66 × 104
8.00 × 104 0.0271 3.04 × 104
9.00 × 104 0.0305 3.42 × 104
1.00 × 105 0.0339 3.80 × 104
2.00 × 105 0.0677 7.61 × 104
3.00 × 105 0.102 1.14 × 105
4.00 × 105 0.135 1.52 × 105
5.00 × 105 0.169 1.90 × 105
6.00 × 105 0.203 2.28 × 105
7.00 × 105 0.237 2.66 × 105
7.81 × 105 0.264 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 2.49 × 10-4 70.0
50.0 2.71 × 10-4 76.1
60.0 3.25 × 10-4 91.3
70.0 3.79 × 10-4 107
80.0 4.33 × 10-4 122
90.0 4.88 × 10-4 137
100 5.42 × 10-4 152
200 0.00108 304
300 0.00163 457
400 0.00217 609
500 0.00271 761
600 0.00325 913
700 0.00379 1070
800 0.00433 1220
900 0.00488 1370
1000 0.00542 1520
2000 0.0108 3040
3000 0.0163 4570
4000 0.0217 6090
5000 0.0271 7610
6000 0.0325 9130
7000 0.0379 1.07 × 104
8000 0.0433 1.22 × 104
9000 0.0488 1.37 × 104
1.00 × 104 0.0542 1.52 × 104
2.00 × 104 0.108 3.04 × 104
3.00 × 104 0.163 4.57 × 104
4.00 × 104 0.217 6.09 × 104
5.00 × 104 0.271 7.61 × 104
6.00 × 104 0.325 9.13 × 104
7.00 × 104 0.379 1.07 × 105
8.00 × 104 0.433 1.22 × 105
9.00 × 104 0.488 1.37 × 105
1.00 × 105 0.542 1.52 × 105
1.95 × 105 1.06 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 0.00126 158
50.0 0.00137 171
60.0 0.00165 205
70.0 0.00192 240
80.0 0.00219 274
90.0 0.00247 308
100 0.00274 342
200 0.00549 685
300 0.00823 1030
400 0.0110 1370
500 0.0137 1710
600 0.0165 2050
700 0.0192 2400
800 0.0219 2740
900 0.0247 3080
1000 0.0274 3420
2000 0.0549 6850
3000 0.0823 1.03 × 104
4000 0.110 1.37 × 104
5000 0.137 1.71 × 104
6000 0.165 2.05 × 104
7000 0.192 2.40 × 104
8000 0.219 2.74 × 104
9000 0.247 3.08 × 104
1.00 × 104 0.274 3.42 × 104
2.00 × 104 0.549 6.85 × 104
3.00 × 104 0.823 1.03 × 105
4.00 × 104 1.10 1.37 × 105
5.00 × 104 1.37 1.71 × 105
6.00 × 104 1.65 2.05 × 105
7.00 × 104 1.92 2.40 × 105
8.00 × 104 2.19 2.74 × 105
8.67 × 104 2.38 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 0.00399 280
50.0 0.00433 304
60.0 0.00520 365
70.0 0.00607 426
80.0 0.00694 487
90.0 0.00780 548
100 0.00867 609
200 0.0173 1220
300 0.0260 1830
400 0.0347 2440
500 0.0433 3040
600 0.0520 3650
700 0.0607 4260
800 0.0694 4870
900 0.0780 5480
1000 0.0867 6090
2000 0.173 1.22 × 104
3000 0.260 1.83 × 104
4000 0.347 2.44 × 104
5000 0.433 3.04 × 104
6000 0.520 3.65 × 104
7000 0.607 4.26 × 104
8000 0.694 4.87 × 104
9000 0.780 5.48 × 104
1.00 × 104 0.867 6.09 × 104
2.00 × 104 1.73 1.22 × 105
3.00 × 104 2.60 1.83 × 105
4.00 × 104 3.47 2.44 × 105
4.88 × 104 4.23 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 0.00974 438
50.0 0.0106 476
60.0 0.0127 571
70.0 0.0148 666
80.0 0.0169 761
90.0 0.0190 856
100 0.0212 951
200 0.0423 1900
300 0.0635 2850
400 0.0847 3800
500 0.106 4760
600 0.127 5710
700 0.148 6660
800 0.169 7610
900 0.190 8560
1000 0.212 9510
2000 0.423 1.90 × 104
3000 0.635 2.85 × 104
4000 0.847 3.80 × 104
5000 1.06 4.76 × 104
6000 1.27 5.71 × 104
7000 1.48 6.66 × 104
8000 1.69 7.61 × 104
9000 1.90 8.56 × 104
1.00 × 104 2.12 9.51 × 104
2.00 × 104 4.23 1.90 × 105
3.00 × 104 6.35 2.85 × 105
3.12 × 104 6.61 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 0.0202 630
50.0 0.0219 685
60.0 0.0263 822
70.0 0.0307 959
80.0 0.0351 1100
90.0 0.0395 1230
100 0.0439 1370
200 0.0878 2740
300 0.132 4110
400 0.176 5480
500 0.219 6850
600 0.263 8220
700 0.307 9590
800 0.351 1.10 × 104
900 0.395 1.23 × 104
1000 0.439 1.37 × 104
2000 0.878 2.74 × 104
3000 1.32 4.11 × 104
4000 1.76 5.48 × 104
5000 2.19 6.85 × 104
6000 2.63 8.22 × 104
7000 3.07 9.59 × 104
8000 3.51 1.10 × 105
9000 3.95 1.23 × 105
1.00 × 104 4.39 1.37 × 105
2.00 × 104 8.78 2.74 × 105
2.17 × 104 9.52 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 0.0638 1120
50.0 0.0694 1220
60.0 0.0832 1460
70.0 0.0971 1700
80.0 0.111 1950
90.0 0.125 2190
100 0.139 2440
200 0.277 4870
300 0.416 7310
400 0.555 9740
500 0.694 1.22 × 104
600 0.832 1.46 × 104
700 0.971 1.70 × 104
800 1.11 1.95 × 104
900 1.25 2.19 × 104
1000 1.39 2.44 × 104
2000 2.77 4.87 × 104
3000 4.16 7.31 × 104
4000 5.55 9.74 × 104
5000 6.94 1.22 × 105
6000 8.32 1.46 × 105
7000 9.71 1.70 × 105
8000 11.1 1.95 × 105
9000 12.5 2.19 × 105
1.00 × 104 13.9 2.44 × 105
1.22 × 104 16.9 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 0.156 1750
50.0 0.169 1900
60.0 0.203 2280
70.0 0.237 2660
80.0 0.271 3040
90.0 0.305 3420
100 0.339 3800
200 0.677 7610
300 1.02 1.14 × 104
400 1.35 1.52 × 104
500 1.69 1.90 × 104
600 2.03 2.28 × 104
700 2.37 2.66 × 104
800 2.71 3.04 × 104
900 3.05 3.42 × 104
1000 3.39 3.80 × 104
2000 6.77 7.61 × 104
3000 10.2 1.14 × 105
4000 13.5 1.52 × 105
5000 16.9 1.90 × 105
5330 18.1 2.03 × 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 0.323 2520
50.0 0.351 2740
60.0 0.421 3290
70.0 0.492 3840
80.0 0.562 4380
90.0 0.632 4930
100 0.702 5480
200 1.40 1.10 × 104
300 2.11 1.64 × 104
400 2.81 2.19 × 104
500 3.51 2.74 × 104
600 4.21 3.29 × 104
700 4.92 3.84 × 104
800 5.62 4.38 × 104
900 6.32 4.93 × 104
1000 7.02 5.48 × 104
2000 14.0 1.10 × 105
2570 18.1 1.41 × 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 0.598 3430
50.0 0.650 3730
60.0 0.781 4470
70.0 0.911 5220
80.0 1.04 5970
90.0 1.17 6710
100 1.30 7460
200 2.60 1.49 × 104
300 3.90 2.24 × 104
400 5.20 2.98 × 104
500 6.50 3.73 × 104
600 7.81 4.47 × 104
700 9.11 5.22 × 104
800 10.4 5.97 × 104
900 11.7 6.71 × 104
1000 13.0 7.46 × 104
1390 18.1 1.04 × 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 1.02 4480
50.0 1.11 4870
60.0 1.33 5840
70.0 1.55 6820
80.0 1.78 7790
90.0 2.00 8770
100 2.22 9740
200 4.44 1.95 × 104
300 6.66 2.92 × 104
400 8.88 3.90 × 104
500 11.1 4.87 × 104
600 13.3 5.84 × 104
700 15.5 6.82 × 104
800 17.8 7.79 × 104
814 18.1 7.93 × 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 1.64 5670
50.0 1.78 6160
60.0 2.13 7400
70.0 2.49 8630
80.0 2.84 9860
90.0 3.20 1.11 × 104
100 3.56 1.23 × 104
200 7.11 2.47 × 104
300 10.7 3.70 × 104
400 14.2 4.93 × 104
500 17.8 6.16 × 104
508 18.1 6.26 × 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 2.49 7000
50.0 2.71 7610
60.0 3.25 9130
70.0 3.79 1.07 × 104
80.0 4.33 1.22 × 104
90.0 4.88 1.37 × 104
100 5.42 1.52 × 104
200 10.8 3.04 × 104
300 16.3 4.57 × 104
333 18.1 5.07 × 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 6.09 1.09 × 104
50.0 6.61 1.19 × 104
60.0 7.94 1.43 × 104
70.0 9.26 1.66 × 104
80.0 10.6 1.90 × 104
90.0 11.9 2.14 × 104
100 13.2 2.38 × 104
137 18.1 3.25 × 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 12.6 1.58 × 104
50.0 13.7 1.71 × 104
60.0 16.5 2.05 × 104
65.8 18.1 2.25 × 104
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