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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W18 × 65
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 = 1070 in4) for the W18 × 65 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 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.90 × 10-6 6.02
70.0 2.04 × 10-6 6.48
80.0 2.34 × 10-6 7.41
90.0 2.63 × 10-6 8.33
100 2.92 × 10-6 9.26
200 5.84 × 10-6 18.5
300 8.76 × 10-6 27.8
400 1.17 × 10-5 37.0
500 1.46 × 10-5 46.3
600 1.75 × 10-5 55.6
700 2.04 × 10-5 64.8
800 2.34 × 10-5 74.1
900 2.63 × 10-5 83.3
1000 2.92 × 10-5 92.6
2000 5.84 × 10-5 185
3000 8.76 × 10-5 278
4000 1.17 × 10-4 370
5000 1.46 × 10-4 463
6000 1.75 × 10-4 556
7000 2.04 × 10-4 648
8000 2.34 × 10-4 741
9000 2.63 × 10-4 833
1.00 × 104 2.92 × 10-4 926
2.00 × 104 5.84 × 10-4 1850
3.00 × 104 8.76 × 10-4 2780
4.00 × 104 0.00117 3700
5.00 × 104 0.00146 4630
6.00 × 104 0.00175 5560
7.00 × 104 0.00204 6480
8.00 × 104 0.00234 7410
9.00 × 104 0.00263 8330
1.00 × 105 0.00292 9260
2.00 × 105 0.00584 1.85 × 104
3.00 × 105 0.00876 2.78 × 104
4.00 × 105 0.0117 3.70 × 104
5.00 × 105 0.0146 4.63 × 104
6.00 × 105 0.0175 5.56 × 104
7.00 × 105 0.0204 6.48 × 104
8.00 × 105 0.0234 7.41 × 104
9.00 × 105 0.0263 8.33 × 104
1.00 × 106 0.0292 9.26 × 104
2.00 × 106 0.0584 1.85 × 105
3.00 × 106 0.0876 2.78 × 105
3.21 × 106 0.0937 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.46 × 10-5 16.7
70.0 1.58 × 10-5 18.0
80.0 1.80 × 10-5 20.6
90.0 2.03 × 10-5 23.2
100 2.25 × 10-5 25.7
200 4.51 × 10-5 51.4
300 6.76 × 10-5 77.2
400 9.01 × 10-5 103
500 1.13 × 10-4 129
600 1.35 × 10-4 154
700 1.58 × 10-4 180
800 1.80 × 10-4 206
900 2.03 × 10-4 232
1000 2.25 × 10-4 257
2000 4.51 × 10-4 514
3000 6.76 × 10-4 772
4000 9.01 × 10-4 1030
5000 0.00113 1290
6000 0.00135 1540
7000 0.00158 1800
8000 0.00180 2060
9000 0.00203 2320
1.00 × 104 0.00225 2570
2.00 × 104 0.00451 5140
3.00 × 104 0.00676 7720
4.00 × 104 0.00901 1.03 × 104
5.00 × 104 0.0113 1.29 × 104
6.00 × 104 0.0135 1.54 × 104
7.00 × 104 0.0158 1.80 × 104
8.00 × 104 0.0180 2.06 × 104
9.00 × 104 0.0203 2.32 × 104
1.00 × 105 0.0225 2.57 × 104
2.00 × 105 0.0451 5.14 × 104
3.00 × 105 0.0676 7.72 × 104
4.00 × 105 0.0901 1.03 × 105
5.00 × 105 0.113 1.29 × 105
6.00 × 105 0.135 1.54 × 105
7.00 × 105 0.158 1.80 × 105
8.00 × 105 0.180 2.06 × 105
9.00 × 105 0.203 2.32 × 105
1.00 × 106 0.225 2.57 × 105
1.15 × 106 0.260 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 2.34 × 10-4 66.9
70.0 2.52 × 10-4 72.0
80.0 2.88 × 10-4 82.3
90.0 3.24 × 10-4 92.6
100 3.61 × 10-4 103
200 7.21 × 10-4 206
300 0.00108 309
400 0.00144 412
500 0.00180 514
600 0.00216 617
700 0.00252 720
800 0.00288 823
900 0.00324 926
1000 0.00361 1030
2000 0.00721 2060
3000 0.0108 3090
4000 0.0144 4120
5000 0.0180 5140
6000 0.0216 6170
7000 0.0252 7200
8000 0.0288 8230
9000 0.0324 9260
1.00 × 104 0.0361 1.03 × 104
2.00 × 104 0.0721 2.06 × 104
3.00 × 104 0.108 3.09 × 104
4.00 × 104 0.144 4.12 × 104
5.00 × 104 0.180 5.14 × 104
6.00 × 104 0.216 6.17 × 104
7.00 × 104 0.252 7.20 × 104
8.00 × 104 0.288 8.23 × 104
9.00 × 104 0.324 9.26 × 104
1.00 × 105 0.361 1.03 × 105
2.00 × 105 0.721 2.06 × 105
2.89 × 105 1.04 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00119 150
70.0 0.00128 162
80.0 0.00146 185
90.0 0.00164 208
100 0.00183 232
200 0.00365 463
300 0.00548 695
400 0.00730 926
500 0.00913 1160
600 0.0110 1390
700 0.0128 1620
800 0.0146 1850
900 0.0164 2080
1000 0.0183 2320
2000 0.0365 4630
3000 0.0548 6950
4000 0.0730 9260
5000 0.0913 1.16 × 104
6000 0.110 1.39 × 104
7000 0.128 1.62 × 104
8000 0.146 1.85 × 104
9000 0.164 2.08 × 104
1.00 × 104 0.183 2.32 × 104
2.00 × 104 0.365 4.63 × 104
3.00 × 104 0.548 6.95 × 104
4.00 × 104 0.730 9.26 × 104
5.00 × 104 0.913 1.16 × 105
6.00 × 104 1.10 1.39 × 105
7.00 × 104 1.28 1.62 × 105
8.00 × 104 1.46 1.85 × 105
9.00 × 104 1.64 2.08 × 105
1.00 × 105 1.83 2.32 × 105
1.28 × 105 2.34 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00375 268
70.0 0.00404 288
80.0 0.00462 329
90.0 0.00519 370
100 0.00577 412
200 0.0115 823
300 0.0173 1230
400 0.0231 1650
500 0.0288 2060
600 0.0346 2470
700 0.0404 2880
800 0.0462 3290
900 0.0519 3700
1000 0.0577 4120
2000 0.115 8230
3000 0.173 1.23 × 104
4000 0.231 1.65 × 104
5000 0.288 2.06 × 104
6000 0.346 2.47 × 104
7000 0.404 2.88 × 104
8000 0.462 3.29 × 104
9000 0.519 3.70 × 104
1.00 × 104 0.577 4.12 × 104
2.00 × 104 1.15 8.23 × 104
3.00 × 104 1.73 1.23 × 105
4.00 × 104 2.31 1.65 × 105
5.00 × 104 2.88 2.06 × 105
6.00 × 104 3.46 2.47 × 105
7.00 × 104 4.04 2.88 × 105
7.22 × 104 4.16 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00915 418
70.0 0.00986 450
80.0 0.0113 514
90.0 0.0127 579
100 0.0141 643
200 0.0282 1290
300 0.0423 1930
400 0.0563 2570
500 0.0704 3220
600 0.0845 3860
700 0.0986 4500
800 0.113 5140
900 0.127 5790
1000 0.141 6430
2000 0.282 1.29 × 104
3000 0.423 1.93 × 104
4000 0.563 2.57 × 104
5000 0.704 3.22 × 104
6000 0.845 3.86 × 104
7000 0.986 4.50 × 104
8000 1.13 5.14 × 104
9000 1.27 5.79 × 104
1.00 × 104 1.41 6.43 × 104
2.00 × 104 2.82 1.29 × 105
3.00 × 104 4.23 1.93 × 105
4.00 × 104 5.63 2.57 × 105
4.62 × 104 6.51 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0190 602
70.0 0.0204 648
80.0 0.0234 741
90.0 0.0263 833
100 0.0292 926
200 0.0584 1850
300 0.0876 2780
400 0.117 3700
500 0.146 4630
600 0.175 5560
700 0.204 6480
800 0.234 7410
900 0.263 8330
1000 0.292 9260
2000 0.584 1.85 × 104
3000 0.876 2.78 × 104
4000 1.17 3.70 × 104
5000 1.46 4.63 × 104
6000 1.75 5.56 × 104
7000 2.04 6.48 × 104
8000 2.34 7.41 × 104
9000 2.63 8.33 × 104
1.00 × 104 2.92 9.26 × 104
2.00 × 104 5.84 1.85 × 105
3.00 × 104 8.76 2.78 × 105
3.21 × 104 9.37 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0600 1070
70.0 0.0646 1150
80.0 0.0738 1320
90.0 0.0831 1480
100 0.0923 1650
200 0.185 3290
300 0.277 4940
400 0.369 6590
500 0.462 8230
600 0.554 9880
700 0.646 1.15 × 104
800 0.738 1.32 × 104
900 0.831 1.48 × 104
1000 0.923 1.65 × 104
2000 1.85 3.29 × 104
3000 2.77 4.94 × 104
4000 3.69 6.59 × 104
5000 4.62 8.23 × 104
6000 5.54 9.88 × 104
7000 6.46 1.15 × 105
8000 7.38 1.32 × 105
9000 8.31 1.48 × 105
1.00 × 104 9.23 1.65 × 105
1.80 × 104 16.7 2.97 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.146 1670
70.0 0.158 1800
80.0 0.180 2060
90.0 0.203 2320
100 0.225 2570
200 0.451 5140
300 0.676 7720
400 0.901 1.03 × 104
500 1.13 1.29 × 104
600 1.35 1.54 × 104
700 1.58 1.80 × 104
800 1.80 2.06 × 104
900 2.03 2.32 × 104
1000 2.25 2.57 × 104
2000 4.51 5.14 × 104
3000 6.76 7.72 × 104
4000 9.01 1.03 × 105
5000 11.3 1.29 × 105
6000 13.5 1.54 × 105
7000 15.8 1.80 × 105
8000 18.0 2.06 × 105
8140 18.4 2.09 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.304 2410
70.0 0.327 2590
80.0 0.374 2960
90.0 0.421 3330
100 0.467 3700
200 0.935 7410
300 1.40 1.11 × 104
400 1.87 1.48 × 104
500 2.34 1.85 × 104
600 2.80 2.22 × 104
700 3.27 2.59 × 104
800 3.74 2.96 × 104
900 4.21 3.33 × 104
1000 4.67 3.70 × 104
2000 9.35 7.41 × 104
3000 14.0 1.11 × 105
3930 18.4 1.45 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.563 3280
70.0 0.606 3530
80.0 0.693 4030
90.0 0.779 4540
100 0.866 5040
200 1.73 1.01 × 104
300 2.60 1.51 × 104
400 3.46 2.02 × 104
500 4.33 2.52 × 104
600 5.19 3.03 × 104
700 6.06 3.53 × 104
800 6.93 4.03 × 104
900 7.79 4.54 × 104
1000 8.66 5.04 × 104
2000 17.3 1.01 × 105
2120 18.4 1.07 × 105
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.960 4280
70.0 1.03 4610
80.0 1.18 5270
90.0 1.33 5930
100 1.48 6590
200 2.95 1.32 × 104
300 4.43 1.98 × 104
400 5.91 2.63 × 104
500 7.38 3.29 × 104
600 8.86 3.95 × 104
700 10.3 4.61 × 104
800 11.8 5.27 × 104
900 13.3 5.93 × 104
1000 14.8 6.59 × 104
1240 18.4 8.18 × 104
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.54 5420
70.0 1.66 5830
80.0 1.89 6670
90.0 2.13 7500
100 2.37 8330
200 4.73 1.67 × 104
300 7.10 2.50 × 104
400 9.46 3.33 × 104
500 11.8 4.17 × 104
600 14.2 5.00 × 104
700 16.6 5.83 × 104
776 18.4 6.47 × 104
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 2.34 6690
70.0 2.52 7200
80.0 2.88 8230
90.0 3.24 9260
100 3.61 1.03 × 104
200 7.21 2.06 × 104
300 10.8 3.09 × 104
400 14.4 4.12 × 104
500 18.0 5.14 × 104
509 18.4 5.24 × 104
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 5.72 1.05 × 104
70.0 6.16 1.13 × 104
80.0 7.04 1.29 × 104
90.0 7.92 1.45 × 104
100 8.80 1.61 × 104
200 17.6 3.22 × 104
208 18.4 3.35 × 104
Steel I Beam: W18 × 65 (Wide Flange 18 inch tall × 65 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 11.9 1.50 × 104
70.0 12.8 1.62 × 104
80.0 14.6 1.85 × 104
90.0 16.4 2.08 × 104
100 18.3 2.32 × 104
101 18.4 2.33 × 104
Additional Information
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