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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
   
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 1.96 × 10-5 17.7
20.0 3.02 × 10-5 27.2
30.0 4.53 × 10-5 40.9
40.0 6.04 × 10-5 54.5
50.0 7.56 × 10-5 68.1
60.0 9.07 × 10-5 81.7
70.0 1.06 × 10-4 95.3
80.0 1.21 × 10-4 109
90.0 1.36 × 10-4 123
100 1.51 × 10-4 136
200 3.02 × 10-4 272
300 4.53 × 10-4 409
400 6.04 × 10-4 545
500 7.56 × 10-4 681
600 9.07 × 10-4 817
700 0.00106 953
800 0.00121 1090
900 0.00136 1230
1000 0.00151 1360
2000 0.00302 2720
3000 0.00453 4090
4000 0.00604 5450
5000 0.00756 6810
6000 0.00907 8170
7000 0.0106 9530
8000 0.0121 1.09 × 104
9000 0.0136 1.23 × 104
1.00 × 104 0.0151 1.36 × 104
2.00 × 104 0.0302 2.72 × 104
3.00 × 104 0.0453 4.09 × 104
4.00 × 104 0.0604 5.45 × 104
5.00 × 104 0.0756 6.81 × 104
6.00 × 104 0.0907 8.17 × 104
7.00 × 104 0.106 9.53 × 104
8.00 × 104 0.121 1.09 × 105
9.00 × 104 0.136 1.23 × 105
1.00 × 105 0.151 1.36 × 105
2.00 × 105 0.302 2.72 × 105
2.18 × 105 0.330 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 1.52 × 10-4 49.2
20.0 2.33 × 10-4 75.7
30.0 3.50 × 10-4 113
40.0 4.66 × 10-4 151
50.0 5.83 × 10-4 189
60.0 7.00 × 10-4 227
70.0 8.16 × 10-4 265
80.0 9.33 × 10-4 303
90.0 0.00105 340
100 0.00117 378
200 0.00233 757
300 0.00350 1130
400 0.00466 1510
500 0.00583 1890
600 0.00700 2270
700 0.00816 2650
800 0.00933 3030
900 0.0105 3400
1000 0.0117 3780
2000 0.0233 7570
3000 0.0350 1.13 × 104
4000 0.0466 1.51 × 104
5000 0.0583 1.89 × 104
6000 0.0700 2.27 × 104
7000 0.0816 2.65 × 104
8000 0.0933 3.03 × 104
9000 0.105 3.40 × 104
1.00 × 104 0.117 3.78 × 104
2.00 × 104 0.233 7.57 × 104
3.00 × 104 0.350 1.13 × 105
4.00 × 104 0.466 1.51 × 105
5.00 × 104 0.583 1.89 × 105
6.00 × 104 0.700 2.27 × 105
7.00 × 104 0.816 2.65 × 105
7.85 × 104 0.915 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 0.00243 197
20.0 0.00373 303
30.0 0.00560 454
40.0 0.00746 605
50.0 0.00933 757
60.0 0.0112 908
70.0 0.0131 1060
80.0 0.0149 1210
90.0 0.0168 1360
100 0.0187 1510
200 0.0373 3030
300 0.0560 4540
400 0.0746 6050
500 0.0933 7570
600 0.112 9080
700 0.131 1.06 × 104
800 0.149 1.21 × 104
900 0.168 1.36 × 104
1000 0.187 1.51 × 104
2000 0.373 3.03 × 104
3000 0.560 4.54 × 104
4000 0.746 6.05 × 104
5000 0.933 7.57 × 104
6000 1.12 9.08 × 104
7000 1.31 1.06 × 105
8000 1.49 1.21 × 105
9000 1.68 1.36 × 105
1.00 × 104 1.87 1.51 × 105
1.96 × 104 3.66 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 0.0123 443
20.0 0.0189 681
30.0 0.0283 1020
40.0 0.0378 1360
50.0 0.0472 1700
60.0 0.0567 2040
70.0 0.0661 2380
80.0 0.0756 2720
90.0 0.0850 3060
100 0.0944 3400
200 0.189 6810
300 0.283 1.02 × 104
400 0.378 1.36 × 104
500 0.472 1.70 × 104
600 0.567 2.04 × 104
700 0.661 2.38 × 104
800 0.756 2.72 × 104
900 0.850 3.06 × 104
1000 0.944 3.40 × 104
2000 1.89 6.81 × 104
3000 2.83 1.02 × 105
4000 3.78 1.36 × 105
5000 4.72 1.70 × 105
6000 5.67 2.04 × 105
7000 6.61 2.38 × 105
8000 7.56 2.72 × 105
8720 8.24 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 0.0388 787
20.0 0.0597 1210
30.0 0.0895 1820
40.0 0.119 2420
50.0 0.149 3030
60.0 0.179 3630
70.0 0.209 4240
80.0 0.239 4840
90.0 0.269 5450
100 0.298 6050
200 0.597 1.21 × 104
300 0.895 1.82 × 104
400 1.19 2.42 × 104
500 1.49 3.03 × 104
600 1.79 3.63 × 104
700 2.09 4.24 × 104
800 2.39 4.84 × 104
900 2.69 5.45 × 104
1000 2.98 6.05 × 104
2000 5.97 1.21 × 105
2680 7.99 1.62 × 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 0.0947 1230
20.0 0.146 1890
30.0 0.219 2840
40.0 0.291 3780
50.0 0.364 4730
60.0 0.437 5670
70.0 0.510 6620
80.0 0.583 7570
90.0 0.656 8510
100 0.729 9460
200 1.46 1.89 × 104
300 2.19 2.84 × 104
400 2.91 3.78 × 104
500 3.64 4.73 × 104
600 4.37 5.67 × 104
700 5.10 6.62 × 104
800 5.83 7.57 × 104
900 6.56 8.51 × 104
1000 7.29 9.46 × 104
1100 7.99 1.04 × 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 0.196 1770
20.0 0.302 2720
30.0 0.453 4090
40.0 0.604 5450
50.0 0.756 6810
60.0 0.907 8170
70.0 1.06 9530
80.0 1.21 1.09 × 104
90.0 1.36 1.23 × 104
100 1.51 1.36 × 104
200 3.02 2.72 × 104
300 4.53 4.09 × 104
400 6.04 5.45 × 104
500 7.56 6.81 × 104
529 7.99 7.20 × 104
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 0.621 3150
20.0 0.955 4840
30.0 1.43 7260
40.0 1.91 9680
50.0 2.39 1.21 × 104
60.0 2.87 1.45 × 104
70.0 3.34 1.69 × 104
80.0 3.82 1.94 × 104
90.0 4.30 2.18 × 104
100 4.78 2.42 × 104
167 7.99 4.05 × 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 1.52 4920
20.0 2.33 7570
30.0 3.50 1.13 × 104
40.0 4.66 1.51 × 104
50.0 5.83 1.89 × 104
60.0 7.00 2.27 × 104
68.5 7.99 2.59 × 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 3.14 7080
20.0 4.84 1.09 × 104
30.0 7.25 1.63 × 104
33.0 7.99 1.80 × 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 5.82 9640
17.8 7.99 1.32 × 104
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