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Wide Flange Steel I Beam: W8 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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
  
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 8.56 × 10-6 12.2
50.0 1.07 × 10-5 15.3
60.0 1.28 × 10-5 18.3
70.0 1.50 × 10-5 21.4
80.0 1.71 × 10-5 24.4
90.0 1.93 × 10-5 27.5
100 2.14 × 10-5 30.5
200 4.28 × 10-5 61.0
300 6.42 × 10-5 91.5
400 8.56 × 10-5 122
500 1.07 × 10-4 153
600 1.28 × 10-4 183
700 1.50 × 10-4 214
800 1.71 × 10-4 244
900 1.93 × 10-4 275
1000 2.14 × 10-4 305
2000 4.28 × 10-4 610
3000 6.42 × 10-4 915
4000 8.56 × 10-4 1220
5000 0.00107 1530
6000 0.00128 1830
7000 0.00150 2140
8000 0.00171 2440
9000 0.00193 2750
1.00 × 104 0.00214 3050
2.00 × 104 0.00428 6100
3.00 × 104 0.00642 9150
4.00 × 104 0.00856 1.22 × 104
5.00 × 104 0.0107 1.53 × 104
6.00 × 104 0.0128 1.83 × 104
7.00 × 104 0.0150 2.14 × 104
8.00 × 104 0.0171 2.44 × 104
9.00 × 104 0.0193 2.75 × 104
1.00 × 105 0.0214 3.05 × 104
2.00 × 105 0.0428 6.10 × 104
3.00 × 105 0.0642 9.15 × 104
4.00 × 105 0.0856 1.22 × 105
5.00 × 105 0.107 1.53 × 105
6.00 × 105 0.128 1.83 × 105
7.00 × 105 0.150 2.14 × 105
8.00 × 105 0.171 2.44 × 105
9.00 × 105 0.193 2.75 × 105
9.73 × 105 0.208 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 6.61 × 10-5 33.9
50.0 8.26 × 10-5 42.4
60.0 9.91 × 10-5 50.9
70.0 1.16 × 10-4 59.3
80.0 1.32 × 10-4 67.8
90.0 1.49 × 10-4 76.3
100 1.65 × 10-4 84.8
200 3.30 × 10-4 170
300 4.95 × 10-4 254
400 6.61 × 10-4 339
500 8.26 × 10-4 424
600 9.91 × 10-4 509
700 0.00116 593
800 0.00132 678
900 0.00149 763
1000 0.00165 848
2000 0.00330 1700
3000 0.00495 2540
4000 0.00661 3390
5000 0.00826 4240
6000 0.00991 5090
7000 0.0116 5930
8000 0.0132 6780
9000 0.0149 7630
1.00 × 104 0.0165 8480
2.00 × 104 0.0330 1.70 × 104
3.00 × 104 0.0495 2.54 × 104
4.00 × 104 0.0661 3.39 × 104
5.00 × 104 0.0826 4.24 × 104
6.00 × 104 0.0991 5.09 × 104
7.00 × 104 0.116 5.93 × 104
8.00 × 104 0.132 6.78 × 104
9.00 × 104 0.149 7.63 × 104
1.00 × 105 0.165 8.48 × 104
2.00 × 105 0.330 1.70 × 105
3.00 × 105 0.495 2.54 × 105
3.50 × 105 0.579 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 0.00106 136
50.0 0.00132 170
60.0 0.00159 203
70.0 0.00185 237
80.0 0.00211 271
90.0 0.00238 305
100 0.00264 339
200 0.00528 678
300 0.00793 1020
400 0.0106 1360
500 0.0132 1700
600 0.0159 2030
700 0.0185 2370
800 0.0211 2710
900 0.0238 3050
1000 0.0264 3390
2000 0.0528 6780
3000 0.0793 1.02 × 104
4000 0.106 1.36 × 104
5000 0.132 1.70 × 104
6000 0.159 2.03 × 104
7000 0.185 2.37 × 104
8000 0.211 2.71 × 104
9000 0.238 3.05 × 104
1.00 × 104 0.264 3.39 × 104
2.00 × 104 0.528 6.78 × 104
3.00 × 104 0.793 1.02 × 105
4.00 × 104 1.06 1.36 × 105
5.00 × 104 1.32 1.70 × 105
6.00 × 104 1.59 2.03 × 105
7.00 × 104 1.85 2.37 × 105
8.00 × 104 2.11 2.71 × 105
8.76 × 104 2.32 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 0.00535 305
50.0 0.00669 381
60.0 0.00803 458
70.0 0.00936 534
80.0 0.0107 610
90.0 0.0120 687
100 0.0134 763
200 0.0268 1530
300 0.0401 2290
400 0.0535 3050
500 0.0669 3810
600 0.0803 4580
700 0.0936 5340
800 0.107 6100
900 0.120 6870
1000 0.134 7630
2000 0.268 1.53 × 104
3000 0.401 2.29 × 104
4000 0.535 3.05 × 104
5000 0.669 3.81 × 104
6000 0.803 4.58 × 104
7000 0.936 5.34 × 104
8000 1.07 6.10 × 104
9000 1.20 6.87 × 104
1.00 × 104 1.34 7.63 × 104
2.00 × 104 2.68 1.53 × 105
3.00 × 104 4.01 2.29 × 105
3.89 × 104 5.21 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 0.0169 542
50.0 0.0211 678
60.0 0.0254 814
70.0 0.0296 949
80.0 0.0338 1080
90.0 0.0381 1220
100 0.0423 1360
200 0.0846 2710
300 0.127 4070
400 0.169 5420
500 0.211 6780
600 0.254 8140
700 0.296 9490
800 0.338 1.08 × 104
900 0.381 1.22 × 104
1000 0.423 1.36 × 104
2000 0.846 2.71 × 104
3000 1.27 4.07 × 104
4000 1.69 5.42 × 104
5000 2.11 6.78 × 104
6000 2.54 8.14 × 104
7000 2.96 9.49 × 104
8000 3.38 1.08 × 105
9000 3.81 1.22 × 105
1.00 × 104 4.23 1.36 × 105
1.95 × 104 8.25 2.65 × 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 0.0413 848
50.0 0.0516 1060
60.0 0.0619 1270
70.0 0.0723 1480
80.0 0.0826 1700
90.0 0.0929 1910
100 0.103 2120
200 0.206 4240
300 0.310 6360
400 0.413 8480
500 0.516 1.06 × 104
600 0.619 1.27 × 104
700 0.723 1.48 × 104
800 0.826 1.70 × 104
900 0.929 1.91 × 104
1000 1.03 2.12 × 104
2000 2.06 4.24 × 104
3000 3.10 6.36 × 104
4000 4.13 8.48 × 104
5000 5.16 1.06 × 105
6000 6.19 1.27 × 105
7000 7.23 1.48 × 105
7990 8.25 1.69 × 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 0.0856 1220
50.0 0.107 1530
60.0 0.128 1830
70.0 0.150 2140
80.0 0.171 2440
90.0 0.193 2750
100 0.214 3050
200 0.428 6100
300 0.642 9150
400 0.856 1.22 × 104
500 1.07 1.53 × 104
600 1.28 1.83 × 104
700 1.50 2.14 × 104
800 1.71 2.44 × 104
900 1.93 2.75 × 104
1000 2.14 3.05 × 104
2000 4.28 6.10 × 104
3000 6.42 9.15 × 104
3850 8.25 1.18 × 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 0.271 2170
50.0 0.338 2710
60.0 0.406 3250
70.0 0.474 3800
80.0 0.541 4340
90.0 0.609 4880
100 0.676 5420
200 1.35 1.08 × 104
300 2.03 1.63 × 104
400 2.71 2.17 × 104
500 3.38 2.71 × 104
600 4.06 3.25 × 104
700 4.74 3.80 × 104
800 5.41 4.34 × 104
900 6.09 4.88 × 104
1000 6.76 5.42 × 104
1220 8.25 6.62 × 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 0.661 3390
50.0 0.826 4240
60.0 0.991 5090
70.0 1.16 5930
80.0 1.32 6780
90.0 1.49 7630
100 1.65 8480
200 3.30 1.70 × 104
300 4.95 2.54 × 104
400 6.61 3.39 × 104
500 8.25 4.23 × 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 1.37 4880
50.0 1.71 6100
60.0 2.05 7320
70.0 2.40 8540
80.0 2.74 9760
90.0 3.08 1.10 × 104
100 3.42 1.22 × 104
200 6.85 2.44 × 104
241 8.25 2.94 × 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 2.54 6650
50.0 3.17 8310
60.0 3.81 9970
70.0 4.44 1.16 × 104
80.0 5.08 1.33 × 104
90.0 5.71 1.50 × 104
100 6.34 1.66 × 104
130 8.25 2.16 × 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 4.33 8680
50.0 5.41 1.08 × 104
60.0 6.49 1.30 × 104
70.0 7.58 1.52 × 104
76.2 8.25 1.65 × 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 6.93 1.10 × 104
47.6 8.25 1.31 × 104
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