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Wide Flange Steel I Beam: W8 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W8 × 40
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 = 146 in4) for the W8 × 40 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
   
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 6.56 × 10-6 15.3
50.0 8.20 × 10-6 19.1
60.0 9.84 × 10-6 22.9
70.0 1.15 × 10-5 26.7
80.0 1.31 × 10-5 30.5
90.0 1.48 × 10-5 34.3
100 1.64 × 10-5 38.1
200 3.28 × 10-5 76.3
300 4.92 × 10-5 114
400 6.56 × 10-5 153
500 8.20 × 10-5 191
600 9.84 × 10-5 229
700 1.15 × 10-4 267
800 1.31 × 10-4 305
900 1.48 × 10-4 343
1000 1.64 × 10-4 381
2000 3.28 × 10-4 763
3000 4.92 × 10-4 1140
4000 6.56 × 10-4 1530
5000 8.20 × 10-4 1910
6000 9.84 × 10-4 2290
7000 0.00115 2670
8000 0.00131 3050
9000 0.00148 3430
1.00 × 104 0.00164 3810
2.00 × 104 0.00328 7630
3.00 × 104 0.00492 1.14 × 104
4.00 × 104 0.00656 1.53 × 104
5.00 × 104 0.00820 1.91 × 104
6.00 × 104 0.00984 2.29 × 104
7.00 × 104 0.0115 2.67 × 104
8.00 × 104 0.0131 3.05 × 104
9.00 × 104 0.0148 3.43 × 104
1.00 × 105 0.0164 3.81 × 104
2.00 × 105 0.0328 7.63 × 104
3.00 × 105 0.0492 1.14 × 105
4.00 × 105 0.0656 1.53 × 105
5.00 × 105 0.0820 1.91 × 105
6.00 × 105 0.0984 2.29 × 105
7.00 × 105 0.115 2.67 × 105
7.79 × 105 0.128 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 5.06 × 10-5 42.4
50.0 6.32 × 10-5 53.0
60.0 7.59 × 10-5 63.6
70.0 8.85 × 10-5 74.2
80.0 1.01 × 10-4 84.8
90.0 1.14 × 10-4 95.4
100 1.26 × 10-4 106
200 2.53 × 10-4 212
300 3.79 × 10-4 318
400 5.06 × 10-4 424
500 6.32 × 10-4 530
600 7.59 × 10-4 636
700 8.85 × 10-4 742
800 0.00101 848
900 0.00114 954
1000 0.00126 1060
2000 0.00253 2120
3000 0.00379 3180
4000 0.00506 4240
5000 0.00632 5300
6000 0.00759 6360
7000 0.00885 7420
8000 0.0101 8480
9000 0.0114 9540
1.00 × 104 0.0126 1.06 × 104
2.00 × 104 0.0253 2.12 × 104
3.00 × 104 0.0379 3.18 × 104
4.00 × 104 0.0506 4.24 × 104
5.00 × 104 0.0632 5.30 × 104
6.00 × 104 0.0759 6.36 × 104
7.00 × 104 0.0885 7.42 × 104
8.00 × 104 0.101 8.48 × 104
9.00 × 104 0.114 9.54 × 104
1.00 × 105 0.126 1.06 × 105
2.00 × 105 0.253 2.12 × 105
2.80 × 105 0.355 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 8.10 × 10-4 170
50.0 0.00101 212
60.0 0.00121 254
70.0 0.00142 297
80.0 0.00162 339
90.0 0.00182 381
100 0.00202 424
200 0.00405 848
300 0.00607 1270
400 0.00810 1700
500 0.0101 2120
600 0.0121 2540
700 0.0142 2970
800 0.0162 3390
900 0.0182 3810
1000 0.0202 4240
2000 0.0405 8480
3000 0.0607 1.27 × 104
4000 0.0810 1.70 × 104
5000 0.101 2.12 × 104
6000 0.121 2.54 × 104
7000 0.142 2.97 × 104
8000 0.162 3.39 × 104
9000 0.182 3.81 × 104
1.00 × 104 0.202 4.24 × 104
2.00 × 104 0.405 8.48 × 104
3.00 × 104 0.607 1.27 × 105
4.00 × 104 0.810 1.70 × 105
5.00 × 104 1.01 2.12 × 105
6.00 × 104 1.21 2.54 × 105
7.00 × 104 1.42 2.97 × 105
7.01 × 104 1.42 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.00410 381
50.0 0.00512 477
60.0 0.00615 572
70.0 0.00717 667
80.0 0.00820 763
90.0 0.00922 858
100 0.0102 954
200 0.0205 1910
300 0.0307 2860
400 0.0410 3810
500 0.0512 4770
600 0.0615 5720
700 0.0717 6670
800 0.0820 7630
900 0.0922 8580
1000 0.102 9540
2000 0.205 1.91 × 104
3000 0.307 2.86 × 104
4000 0.410 3.81 × 104
5000 0.512 4.77 × 104
6000 0.615 5.72 × 104
7000 0.717 6.67 × 104
8000 0.820 7.63 × 104
9000 0.922 8.58 × 104
1.00 × 104 1.02 9.54 × 104
2.00 × 104 2.05 1.91 × 105
3.00 × 104 3.07 2.86 × 105
3.12 × 104 3.19 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0130 678
50.0 0.0162 848
60.0 0.0194 1020
70.0 0.0227 1190
80.0 0.0259 1360
90.0 0.0291 1530
100 0.0324 1700
200 0.0648 3390
300 0.0971 5090
400 0.130 6780
500 0.162 8480
600 0.194 1.02 × 104
700 0.227 1.19 × 104
800 0.259 1.36 × 104
900 0.291 1.53 × 104
1000 0.324 1.70 × 104
2000 0.648 3.39 × 104
3000 0.971 5.09 × 104
4000 1.30 6.78 × 104
5000 1.62 8.48 × 104
6000 1.94 1.02 × 105
7000 2.27 1.19 × 105
8000 2.59 1.36 × 105
9000 2.91 1.53 × 105
1.00 × 104 3.24 1.70 × 105
1.75 × 104 5.67 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0316 1060
50.0 0.0395 1320
60.0 0.0474 1590
70.0 0.0553 1850
80.0 0.0632 2120
90.0 0.0712 2380
100 0.0791 2650
200 0.158 5300
300 0.237 7950
400 0.316 1.06 × 104
500 0.395 1.32 × 104
600 0.474 1.59 × 104
700 0.553 1.85 × 104
800 0.632 2.12 × 104
900 0.712 2.38 × 104
1000 0.791 2.65 × 104
2000 1.58 5.30 × 104
3000 2.37 7.95 × 104
4000 3.16 1.06 × 105
5000 3.95 1.32 × 105
6000 4.74 1.59 × 105
7000 5.53 1.85 × 105
8000 6.32 2.12 × 105
9000 7.12 2.38 × 105
1.00 × 104 7.91 2.65 × 105
1.12 × 104 8.87 2.97 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0656 1530
50.0 0.0820 1910
60.0 0.0984 2290
70.0 0.115 2670
80.0 0.131 3050
90.0 0.148 3430
100 0.164 3810
200 0.328 7630
300 0.492 1.14 × 104
400 0.656 1.53 × 104
500 0.820 1.91 × 104
600 0.984 2.29 × 104
700 1.15 2.67 × 104
800 1.31 3.05 × 104
900 1.48 3.43 × 104
1000 1.64 3.81 × 104
2000 3.28 7.63 × 104
3000 4.92 1.14 × 105
4000 6.56 1.53 × 105
5000 8.20 1.91 × 105
5030 8.25 1.92 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.207 2710
50.0 0.259 3390
60.0 0.311 4070
70.0 0.363 4750
80.0 0.414 5420
90.0 0.466 6100
100 0.518 6780
200 1.04 1.36 × 104
300 1.55 2.03 × 104
400 2.07 2.71 × 104
500 2.59 3.39 × 104
600 3.11 4.07 × 104
700 3.63 4.75 × 104
800 4.14 5.42 × 104
900 4.66 6.10 × 104
1000 5.18 6.78 × 104
1590 8.25 1.08 × 105
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.506 4240
50.0 0.632 5300
60.0 0.759 6360
70.0 0.885 7420
80.0 1.01 8480
90.0 1.14 9540
100 1.26 1.06 × 104
200 2.53 2.12 × 104
300 3.79 3.18 × 104
400 5.06 4.24 × 104
500 6.32 5.30 × 104
600 7.59 6.36 × 104
652 8.25 6.91 × 104
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 1.05 6100
50.0 1.31 7630
60.0 1.57 9150
70.0 1.84 1.07 × 104
80.0 2.10 1.22 × 104
90.0 2.36 1.37 × 104
100 2.62 1.53 × 104
200 5.25 3.05 × 104
300 7.87 4.58 × 104
315 8.25 4.80 × 104
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 1.94 8310
50.0 2.43 1.04 × 104
60.0 2.92 1.25 × 104
70.0 3.40 1.45 × 104
80.0 3.89 1.66 × 104
90.0 4.37 1.87 × 104
100 4.86 2.08 × 104
170 8.25 3.53 × 104
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 3.32 1.08 × 104
50.0 4.14 1.36 × 104
60.0 4.97 1.63 × 104
70.0 5.80 1.90 × 104
80.0 6.63 2.17 × 104
90.0 7.46 2.44 × 104
99.5 8.25 2.70 × 104
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 5.31 1.37 × 104
50.0 6.64 1.72 × 104
60.0 7.97 2.06 × 104
62.1 8.25 2.13 × 104
Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 8.10 1.70 × 104
40.8 8.25 1.73 × 104
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