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Wide Flange Steel I Beam: W8 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
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 1.64 × 10-5 15.3
50.0 2.05 × 10-5 19.1
60.0 2.46 × 10-5 22.9
70.0 2.87 × 10-5 26.7
80.0 3.28 × 10-5 30.5
90.0 3.69 × 10-5 34.3
100 4.10 × 10-5 38.1
200 8.20 × 10-5 76.3
300 1.23 × 10-4 114
400 1.64 × 10-4 153
500 2.05 × 10-4 191
600 2.46 × 10-4 229
700 2.87 × 10-4 267
800 3.28 × 10-4 305
900 3.69 × 10-4 343
1000 4.10 × 10-4 381
2000 8.20 × 10-4 763
3000 0.00123 1140
4000 0.00164 1530
5000 0.00205 1910
6000 0.00246 2290
7000 0.00287 2670
8000 0.00328 3050
9000 0.00369 3430
1.00 × 104 0.00410 3810
2.00 × 104 0.00820 7630
3.00 × 104 0.0123 1.14 × 104
4.00 × 104 0.0164 1.53 × 104
5.00 × 104 0.0205 1.91 × 104
6.00 × 104 0.0246 2.29 × 104
7.00 × 104 0.0287 2.67 × 104
8.00 × 104 0.0328 3.05 × 104
9.00 × 104 0.0369 3.43 × 104
1.00 × 105 0.0410 3.81 × 104
2.00 × 105 0.0820 7.63 × 104
3.00 × 105 0.123 1.14 × 105
4.00 × 105 0.164 1.53 × 105
5.00 × 105 0.205 1.91 × 105
6.00 × 105 0.246 2.29 × 105
7.00 × 105 0.287 2.67 × 105
7.79 × 105 0.319 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 1.26 × 10-4 42.4
50.0 1.58 × 10-4 53.0
60.0 1.90 × 10-4 63.6
70.0 2.21 × 10-4 74.2
80.0 2.53 × 10-4 84.8
90.0 2.85 × 10-4 95.4
100 3.16 × 10-4 106
200 6.32 × 10-4 212
300 9.49 × 10-4 318
400 0.00126 424
500 0.00158 530
600 0.00190 636
700 0.00221 742
800 0.00253 848
900 0.00285 954
1000 0.00316 1060
2000 0.00632 2120
3000 0.00949 3180
4000 0.0126 4240
5000 0.0158 5300
6000 0.0190 6360
7000 0.0221 7420
8000 0.0253 8480
9000 0.0285 9540
1.00 × 104 0.0316 1.06 × 104
2.00 × 104 0.0632 2.12 × 104
3.00 × 104 0.0949 3.18 × 104
4.00 × 104 0.126 4.24 × 104
5.00 × 104 0.158 5.30 × 104
6.00 × 104 0.190 6.36 × 104
7.00 × 104 0.221 7.42 × 104
8.00 × 104 0.253 8.48 × 104
9.00 × 104 0.285 9.54 × 104
1.00 × 105 0.316 1.06 × 105
2.00 × 105 0.632 2.12 × 105
2.80 × 105 0.887 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 0.00202 170
50.0 0.00253 212
60.0 0.00304 254
70.0 0.00354 297
80.0 0.00405 339
90.0 0.00455 381
100 0.00506 424
200 0.0101 848
300 0.0152 1270
400 0.0202 1700
500 0.0253 2120
600 0.0304 2540
700 0.0354 2970
800 0.0405 3390
900 0.0455 3810
1000 0.0506 4240
2000 0.101 8480
3000 0.152 1.27 × 104
4000 0.202 1.70 × 104
5000 0.253 2.12 × 104
6000 0.304 2.54 × 104
7000 0.354 2.97 × 104
8000 0.405 3.39 × 104
9000 0.455 3.81 × 104
1.00 × 104 0.506 4.24 × 104
2.00 × 104 1.01 8.48 × 104
3.00 × 104 1.52 1.27 × 105
4.00 × 104 2.02 1.70 × 105
5.00 × 104 2.53 2.12 × 105
6.00 × 104 3.04 2.54 × 105
7.00 × 104 3.54 2.97 × 105
7.01 × 104 3.55 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 0.0102 381
50.0 0.0128 477
60.0 0.0154 572
70.0 0.0179 667
80.0 0.0205 763
90.0 0.0231 858
100 0.0256 954
200 0.0512 1910
300 0.0768 2860
400 0.102 3810
500 0.128 4770
600 0.154 5720
700 0.179 6670
800 0.205 7630
900 0.231 8580
1000 0.256 9540
2000 0.512 1.91 × 104
3000 0.768 2.86 × 104
4000 1.02 3.81 × 104
5000 1.28 4.77 × 104
6000 1.54 5.72 × 104
7000 1.79 6.67 × 104
8000 2.05 7.63 × 104
9000 2.31 8.58 × 104
1.00 × 104 2.56 9.54 × 104
2.00 × 104 5.12 1.91 × 105
3.00 × 104 7.68 2.86 × 105
3.12 × 104 7.98 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 0.0324 678
50.0 0.0405 848
60.0 0.0486 1020
70.0 0.0567 1190
80.0 0.0648 1360
90.0 0.0729 1530
100 0.0810 1700
200 0.162 3390
300 0.243 5090
400 0.324 6780
500 0.405 8480
600 0.486 1.02 × 104
700 0.567 1.19 × 104
800 0.648 1.36 × 104
900 0.729 1.53 × 104
1000 0.810 1.70 × 104
2000 1.62 3.39 × 104
3000 2.43 5.09 × 104
4000 3.24 6.78 × 104
5000 4.05 8.48 × 104
6000 4.86 1.02 × 105
7000 5.67 1.19 × 105
8000 6.48 1.36 × 105
9000 7.29 1.53 × 105
1.00 × 104 8.10 1.70 × 105
1.75 × 104 14.2 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 0.0791 1060
50.0 0.0988 1320
60.0 0.119 1590
70.0 0.138 1850
80.0 0.158 2120
90.0 0.178 2380
100 0.198 2650
200 0.395 5300
300 0.593 7950
400 0.791 1.06 × 104
500 0.988 1.32 × 104
600 1.19 1.59 × 104
700 1.38 1.85 × 104
800 1.58 2.12 × 104
900 1.78 2.38 × 104
1000 1.98 2.65 × 104
2000 3.95 5.30 × 104
3000 5.93 7.95 × 104
4000 7.91 1.06 × 105
4170 8.25 1.11 × 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 0.164 1530
50.0 0.205 1910
60.0 0.246 2290
70.0 0.287 2670
80.0 0.328 3050
90.0 0.369 3430
100 0.410 3810
200 0.820 7630
300 1.23 1.14 × 104
400 1.64 1.53 × 104
500 2.05 1.91 × 104
600 2.46 2.29 × 104
700 2.87 2.67 × 104
800 3.28 3.05 × 104
900 3.69 3.43 × 104
1000 4.10 3.81 × 104
2000 8.20 7.63 × 104
2010 8.25 7.68 × 104
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 0.518 2710
50.0 0.648 3390
60.0 0.777 4070
70.0 0.907 4750
80.0 1.04 5420
90.0 1.17 6100
100 1.30 6780
200 2.59 1.36 × 104
300 3.89 2.03 × 104
400 5.18 2.71 × 104
500 6.48 3.39 × 104
600 7.77 4.07 × 104
637 8.25 4.32 × 104
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 1.26 4240
50.0 1.58 5300
60.0 1.90 6360
70.0 2.21 7420
80.0 2.53 8480
90.0 2.85 9540
100 3.16 1.06 × 104
200 6.32 2.12 × 104
261 8.25 2.76 × 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 2.62 6100
50.0 3.28 7630
60.0 3.93 9150
70.0 4.59 1.07 × 104
80.0 5.25 1.22 × 104
90.0 5.90 1.37 × 104
100 6.56 1.53 × 104
126 8.25 1.92 × 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 4.86 8310
50.0 6.07 1.04 × 104
60.0 7.29 1.25 × 104
67.9 8.25 1.41 × 104
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