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Wide Flange Steel I Beam: W8 × 13
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 90 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 7.86 × 10-6 17.7
20.0 1.21 × 10-5 27.2
30.0 1.81 × 10-5 40.9
40.0 2.42 × 10-5 54.5
50.0 3.02 × 10-5 68.1
60.0 3.63 × 10-5 81.7
70.0 4.23 × 10-5 95.3
80.0 4.84 × 10-5 109
90.0 5.44 × 10-5 123
100 6.04 × 10-5 136
200 1.21 × 10-4 272
300 1.81 × 10-4 409
400 2.42 × 10-4 545
500 3.02 × 10-4 681
600 3.63 × 10-4 817
700 4.23 × 10-4 953
800 4.84 × 10-4 1090
900 5.44 × 10-4 1230
1000 6.04 × 10-4 1360
2000 0.00121 2720
3000 0.00181 4090
4000 0.00242 5450
5000 0.00302 6810
6000 0.00363 8170
7000 0.00423 9530
8000 0.00484 1.09 × 104
9000 0.00544 1.23 × 104
1.00 × 104 0.00604 1.36 × 104
2.00 × 104 0.0121 2.72 × 104
3.00 × 104 0.0181 4.09 × 104
4.00 × 104 0.0242 5.45 × 104
5.00 × 104 0.0302 6.81 × 104
6.00 × 104 0.0363 8.17 × 104
7.00 × 104 0.0423 9.53 × 104
8.00 × 104 0.0484 1.09 × 105
9.00 × 104 0.0544 1.23 × 105
1.00 × 105 0.0604 1.36 × 105
2.00 × 105 0.121 2.72 × 105
2.18 × 105 0.132 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 6.06 × 10-5 49.2
20.0 9.33 × 10-5 75.7
30.0 1.40 × 10-4 113
40.0 1.87 × 10-4 151
50.0 2.33 × 10-4 189
60.0 2.80 × 10-4 227
70.0 3.26 × 10-4 265
80.0 3.73 × 10-4 303
90.0 4.20 × 10-4 340
100 4.66 × 10-4 378
200 9.33 × 10-4 757
300 0.00140 1130
400 0.00187 1510
500 0.00233 1890
600 0.00280 2270
700 0.00326 2650
800 0.00373 3030
900 0.00420 3400
1000 0.00466 3780
2000 0.00933 7570
3000 0.0140 1.13 × 104
4000 0.0187 1.51 × 104
5000 0.0233 1.89 × 104
6000 0.0280 2.27 × 104
7000 0.0326 2.65 × 104
8000 0.0373 3.03 × 104
9000 0.0420 3.40 × 104
1.00 × 104 0.0466 3.78 × 104
2.00 × 104 0.0933 7.57 × 104
3.00 × 104 0.140 1.13 × 105
4.00 × 104 0.187 1.51 × 105
5.00 × 104 0.233 1.89 × 105
6.00 × 104 0.280 2.27 × 105
7.00 × 104 0.326 2.65 × 105
7.85 × 104 0.366 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 9.70 × 10-4 197
20.0 0.00149 303
30.0 0.00224 454
40.0 0.00298 605
50.0 0.00373 757
60.0 0.00448 908
70.0 0.00522 1060
80.0 0.00597 1210
90.0 0.00672 1360
100 0.00746 1510
200 0.0149 3030
300 0.0224 4540
400 0.0298 6050
500 0.0373 7570
600 0.0448 9080
700 0.0522 1.06 × 104
800 0.0597 1.21 × 104
900 0.0672 1.36 × 104
1000 0.0746 1.51 × 104
2000 0.149 3.03 × 104
3000 0.224 4.54 × 104
4000 0.298 6.05 × 104
5000 0.373 7.57 × 104
6000 0.448 9.08 × 104
7000 0.522 1.06 × 105
8000 0.597 1.21 × 105
9000 0.672 1.36 × 105
1.00 × 104 0.746 1.51 × 105
1.96 × 104 1.46 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 0.00491 443
20.0 0.00756 681
30.0 0.0113 1020
40.0 0.0151 1360
50.0 0.0189 1700
60.0 0.0227 2040
70.0 0.0264 2380
80.0 0.0302 2720
90.0 0.0340 3060
100 0.0378 3400
200 0.0756 6810
300 0.113 1.02 × 104
400 0.151 1.36 × 104
500 0.189 1.70 × 104
600 0.227 2.04 × 104
700 0.264 2.38 × 104
800 0.302 2.72 × 104
900 0.340 3.06 × 104
1000 0.378 3.40 × 104
2000 0.756 6.81 × 104
3000 1.13 1.02 × 105
4000 1.51 1.36 × 105
5000 1.89 1.70 × 105
6000 2.27 2.04 × 105
7000 2.64 2.38 × 105
8000 3.02 2.72 × 105
8720 3.30 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 0.0155 787
20.0 0.0239 1210
30.0 0.0358 1820
40.0 0.0478 2420
50.0 0.0597 3030
60.0 0.0716 3630
70.0 0.0836 4240
80.0 0.0955 4840
90.0 0.107 5450
100 0.119 6050
200 0.239 1.21 × 104
300 0.358 1.82 × 104
400 0.478 2.42 × 104
500 0.597 3.03 × 104
600 0.716 3.63 × 104
700 0.836 4.24 × 104
800 0.955 4.84 × 104
900 1.07 5.45 × 104
1000 1.19 6.05 × 104
2000 2.39 1.21 × 105
3000 3.58 1.82 × 105
4000 4.78 2.42 × 105
4910 5.86 2.97 × 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 0.0379 1230
20.0 0.0583 1890
30.0 0.0874 2840
40.0 0.117 3780
50.0 0.146 4730
60.0 0.175 5670
70.0 0.204 6620
80.0 0.233 7570
90.0 0.262 8510
100 0.291 9460
200 0.583 1.89 × 104
300 0.874 2.84 × 104
400 1.17 3.78 × 104
500 1.46 4.73 × 104
600 1.75 5.67 × 104
700 2.04 6.62 × 104
800 2.33 7.57 × 104
900 2.62 8.51 × 104
1000 2.91 9.46 × 104
2000 5.83 1.89 × 105
2740 7.99 2.59 × 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 0.0786 1770
20.0 0.121 2720
30.0 0.181 4090
40.0 0.242 5450
50.0 0.302 6810
60.0 0.363 8170
70.0 0.423 9530
80.0 0.484 1.09 × 104
90.0 0.544 1.23 × 104
100 0.604 1.36 × 104
200 1.21 2.72 × 104
300 1.81 4.09 × 104
400 2.42 5.45 × 104
500 3.02 6.81 × 104
600 3.63 8.17 × 104
700 4.23 9.53 × 104
800 4.84 1.09 × 105
900 5.44 1.23 × 105
1000 6.04 1.36 × 105
1320 7.99 1.80 × 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 0.248 3150
20.0 0.382 4840
30.0 0.573 7260
40.0 0.764 9680
50.0 0.955 1.21 × 104
60.0 1.15 1.45 × 104
70.0 1.34 1.69 × 104
80.0 1.53 1.94 × 104
90.0 1.72 2.18 × 104
100 1.91 2.42 × 104
200 3.82 4.84 × 104
300 5.73 7.26 × 104
400 7.64 9.68 × 104
418 7.99 1.01 × 105
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 0.606 4920
20.0 0.933 7570
30.0 1.40 1.13 × 104
40.0 1.87 1.51 × 104
50.0 2.33 1.89 × 104
60.0 2.80 2.27 × 104
70.0 3.26 2.65 × 104
80.0 3.73 3.03 × 104
90.0 4.20 3.40 × 104
100 4.66 3.78 × 104
171 7.99 6.48 × 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 1.26 7080
20.0 1.93 1.09 × 104
30.0 2.90 1.63 × 104
40.0 3.87 2.18 × 104
50.0 4.84 2.72 × 104
60.0 5.80 3.27 × 104
70.0 6.77 3.81 × 104
80.0 7.74 4.36 × 104
82.6 7.99 4.50 × 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 2.33 9640
20.0 3.58 1.48 × 104
30.0 5.37 2.22 × 104
40.0 7.17 2.97 × 104
44.6 7.99 3.31 × 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 3.97 1.26 × 104
20.0 6.11 1.94 × 104
26.1 7.99 2.53 × 104
Steel I Beam: W8 × 13 (Wide Flange 8 inch tall × 13 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 6.36 1.59 × 104
16.3 7.99 2.00 × 104
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