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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W8 × 13
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 = 39.6 in4) for the W8 × 13 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
   
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 1.03 × 10-5 14.2
20.0 1.58 × 10-5 21.8
30.0 2.37 × 10-5 32.7
40.0 3.16 × 10-5 43.6
50.0 3.95 × 10-5 54.5
60.0 4.73 × 10-5 65.4
70.0 5.52 × 10-5 76.3
80.0 6.31 × 10-5 87.2
90.0 7.10 × 10-5 98.1
100 7.89 × 10-5 109
200 1.58 × 10-4 218
300 2.37 × 10-4 327
400 3.16 × 10-4 436
500 3.95 × 10-4 545
600 4.73 × 10-4 654
700 5.52 × 10-4 763
800 6.31 × 10-4 872
900 7.10 × 10-4 981
1000 7.89 × 10-4 1090
2000 0.00158 2180
3000 0.00237 3270
4000 0.00316 4360
5000 0.00395 5450
6000 0.00473 6540
7000 0.00552 7630
8000 0.00631 8720
9000 0.00710 9810
1.00 × 104 0.00789 1.09 × 104
2.00 × 104 0.0158 2.18 × 104
3.00 × 104 0.0237 3.27 × 104
4.00 × 104 0.0316 4.36 × 104
5.00 × 104 0.0395 5.45 × 104
6.00 × 104 0.0473 6.54 × 104
7.00 × 104 0.0552 7.63 × 104
8.00 × 104 0.0631 8.72 × 104
9.00 × 104 0.0710 9.81 × 104
1.00 × 105 0.0789 1.09 × 105
2.00 × 105 0.158 2.18 × 105
2.73 × 105 0.215 2.97 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 7.92 × 10-5 39.3
20.0 1.22 × 10-4 60.5
30.0 1.83 × 10-4 90.8
40.0 2.44 × 10-4 121
50.0 3.04 × 10-4 151
60.0 3.65 × 10-4 182
70.0 4.26 × 10-4 212
80.0 4.87 × 10-4 242
90.0 5.48 × 10-4 272
100 6.09 × 10-4 303
200 0.00122 605
300 0.00183 908
400 0.00244 1210
500 0.00304 1510
600 0.00365 1820
700 0.00426 2120
800 0.00487 2420
900 0.00548 2720
1000 0.00609 3030
2000 0.0122 6050
3000 0.0183 9080
4000 0.0244 1.21 × 104
5000 0.0304 1.51 × 104
6000 0.0365 1.82 × 104
7000 0.0426 2.12 × 104
8000 0.0487 2.42 × 104
9000 0.0548 2.72 × 104
1.00 × 104 0.0609 3.03 × 104
2.00 × 104 0.122 6.05 × 104
3.00 × 104 0.183 9.08 × 104
4.00 × 104 0.244 1.21 × 105
5.00 × 104 0.304 1.51 × 105
6.00 × 104 0.365 1.82 × 105
7.00 × 104 0.426 2.12 × 105
8.00 × 104 0.487 2.42 × 105
9.00 × 104 0.548 2.72 × 105
9.81 × 104 0.598 2.97 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.00127 157
20.0 0.00195 242
30.0 0.00292 363
40.0 0.00390 484
50.0 0.00487 605
60.0 0.00585 726
70.0 0.00682 847
80.0 0.00779 968
90.0 0.00877 1090
100 0.00974 1210
200 0.0195 2420
300 0.0292 3630
400 0.0390 4840
500 0.0487 6050
600 0.0585 7260
700 0.0682 8470
800 0.0779 9680
900 0.0877 1.09 × 104
1000 0.0974 1.21 × 104
2000 0.195 2.42 × 104
3000 0.292 3.63 × 104
4000 0.390 4.84 × 104
5000 0.487 6.05 × 104
6000 0.585 7.26 × 104
7000 0.682 8.47 × 104
8000 0.779 9.68 × 104
9000 0.877 1.09 × 105
1.00 × 104 0.974 1.21 × 105
2.00 × 104 1.95 2.42 × 105
2.45 × 104 2.39 2.97 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.00641 354
20.0 0.00986 545
30.0 0.0148 817
40.0 0.0197 1090
50.0 0.0247 1360
60.0 0.0296 1630
70.0 0.0345 1910
80.0 0.0395 2180
90.0 0.0444 2450
100 0.0493 2720
200 0.0986 5450
300 0.148 8170
400 0.197 1.09 × 104
500 0.247 1.36 × 104
600 0.296 1.63 × 104
700 0.345 1.91 × 104
800 0.395 2.18 × 104
900 0.444 2.45 × 104
1000 0.493 2.72 × 104
2000 0.986 5.45 × 104
3000 1.48 8.17 × 104
4000 1.97 1.09 × 105
5000 2.47 1.36 × 105
6000 2.96 1.63 × 105
7000 3.45 1.91 × 105
8000 3.95 2.18 × 105
9000 4.44 2.45 × 105
1.00 × 104 4.93 2.72 × 105
1.09 × 104 5.38 2.97 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.0203 630
20.0 0.0312 968
30.0 0.0468 1450
40.0 0.0623 1940
50.0 0.0779 2420
60.0 0.0935 2910
70.0 0.109 3390
80.0 0.125 3870
90.0 0.140 4360
100 0.156 4840
200 0.312 9680
300 0.468 1.45 × 104
400 0.623 1.94 × 104
500 0.779 2.42 × 104
600 0.935 2.91 × 104
700 1.09 3.39 × 104
800 1.25 3.87 × 104
900 1.40 4.36 × 104
1000 1.56 4.84 × 104
2000 3.12 9.68 × 104
3000 4.68 1.45 × 105
4000 6.23 1.94 × 105
5000 7.79 2.42 × 105
5130 7.99 2.48 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.0495 984
20.0 0.0761 1510
30.0 0.114 2270
40.0 0.152 3030
50.0 0.190 3780
60.0 0.228 4540
70.0 0.266 5300
80.0 0.304 6050
90.0 0.342 6810
100 0.381 7570
200 0.761 1.51 × 104
300 1.14 2.27 × 104
400 1.52 3.03 × 104
500 1.90 3.78 × 104
600 2.28 4.54 × 104
700 2.66 5.30 × 104
800 3.04 6.05 × 104
900 3.42 6.81 × 104
1000 3.81 7.57 × 104
2000 7.61 1.51 × 105
2100 7.99 1.59 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.103 1420
20.0 0.158 2180
30.0 0.237 3270
40.0 0.316 4360
50.0 0.395 5450
60.0 0.473 6540
70.0 0.552 7630
80.0 0.631 8720
90.0 0.710 9810
100 0.789 1.09 × 104
200 1.58 2.18 × 104
300 2.37 3.27 × 104
400 3.16 4.36 × 104
500 3.95 5.45 × 104
600 4.73 6.54 × 104
700 5.52 7.63 × 104
800 6.31 8.72 × 104
900 7.10 9.81 × 104
1000 7.89 1.09 × 105
1010 7.99 1.10 × 105
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.324 2520
20.0 0.499 3870
30.0 0.748 5810
40.0 0.998 7750
50.0 1.25 9680
60.0 1.50 1.16 × 104
70.0 1.75 1.36 × 104
80.0 2.00 1.55 × 104
90.0 2.24 1.74 × 104
100 2.49 1.94 × 104
200 4.99 3.87 × 104
300 7.48 5.81 × 104
320 7.99 6.21 × 104
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.792 3930
20.0 1.22 6050
30.0 1.83 9080
40.0 2.44 1.21 × 104
50.0 3.04 1.51 × 104
60.0 3.65 1.82 × 104
70.0 4.26 2.12 × 104
80.0 4.87 2.42 × 104
90.0 5.48 2.72 × 104
100 6.09 3.03 × 104
131 7.99 3.97 × 104
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 1.64 5670
20.0 2.53 8720
30.0 3.79 1.31 × 104
40.0 5.05 1.74 × 104
50.0 6.31 2.18 × 104
60.0 7.58 2.61 × 104
63.3 7.99 2.76 × 104
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 3.04 7710
20.0 4.68 1.19 × 104
30.0 7.02 1.78 × 104
34.2 7.99 2.03 × 104
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 5.19 1.01 × 104
20.0 7.98 1.55 × 104
20.0 7.99 1.55 × 104
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