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Wide Flange Steel I Beam: W8 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth 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 7.93 × 10-6 13.1
50.0 9.91 × 10-6 16.3
60.0 1.19 × 10-5 19.6
70.0 1.39 × 10-5 22.9
80.0 1.59 × 10-5 26.1
90.0 1.78 × 10-5 29.4
100 1.98 × 10-5 32.7
200 3.97 × 10-5 65.4
300 5.95 × 10-5 98.0
400 7.93 × 10-5 131
500 9.91 × 10-5 163
600 1.19 × 10-4 196
700 1.39 × 10-4 229
800 1.59 × 10-4 261
900 1.78 × 10-4 294
1000 1.98 × 10-4 327
2000 3.97 × 10-4 654
3000 5.95 × 10-4 980
4000 7.93 × 10-4 1310
5000 9.91 × 10-4 1630
6000 0.00119 1960
7000 0.00139 2290
8000 0.00159 2610
9000 0.00178 2940
1.00 × 104 0.00198 3270
2.00 × 104 0.00397 6540
3.00 × 104 0.00595 9800
4.00 × 104 0.00793 1.31 × 104
5.00 × 104 0.00991 1.63 × 104
6.00 × 104 0.0119 1.96 × 104
7.00 × 104 0.0139 2.29 × 104
8.00 × 104 0.0159 2.61 × 104
9.00 × 104 0.0178 2.94 × 104
1.00 × 105 0.0198 3.27 × 104
2.00 × 105 0.0397 6.54 × 104
3.00 × 105 0.0595 9.80 × 104
4.00 × 105 0.0793 1.31 × 105
5.00 × 105 0.0991 1.63 × 105
6.00 × 105 0.119 1.96 × 105
7.00 × 105 0.139 2.29 × 105
8.00 × 105 0.159 2.61 × 105
9.00 × 105 0.178 2.94 × 105
9.09 × 105 0.180 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 6.12 × 10-5 36.3
50.0 7.65 × 10-5 45.4
60.0 9.18 × 10-5 54.5
70.0 1.07 × 10-4 63.5
80.0 1.22 × 10-4 72.6
90.0 1.38 × 10-4 81.7
100 1.53 × 10-4 90.8
200 3.06 × 10-4 182
300 4.59 × 10-4 272
400 6.12 × 10-4 363
500 7.65 × 10-4 454
600 9.18 × 10-4 545
700 0.00107 635
800 0.00122 726
900 0.00138 817
1000 0.00153 908
2000 0.00306 1820
3000 0.00459 2720
4000 0.00612 3630
5000 0.00765 4540
6000 0.00918 5450
7000 0.0107 6350
8000 0.0122 7260
9000 0.0138 8170
1.00 × 104 0.0153 9080
2.00 × 104 0.0306 1.82 × 104
3.00 × 104 0.0459 2.72 × 104
4.00 × 104 0.0612 3.63 × 104
5.00 × 104 0.0765 4.54 × 104
6.00 × 104 0.0918 5.45 × 104
7.00 × 104 0.107 6.35 × 104
8.00 × 104 0.122 7.26 × 104
9.00 × 104 0.138 8.17 × 104
1.00 × 105 0.153 9.08 × 104
2.00 × 105 0.306 1.82 × 105
3.00 × 105 0.459 2.72 × 105
3.27 × 105 0.501 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 9.79 × 10-4 145
50.0 0.00122 182
60.0 0.00147 218
70.0 0.00171 254
80.0 0.00196 290
90.0 0.00220 327
100 0.00245 363
200 0.00490 726
300 0.00734 1090
400 0.00979 1450
500 0.0122 1820
600 0.0147 2180
700 0.0171 2540
800 0.0196 2900
900 0.0220 3270
1000 0.0245 3630
2000 0.0490 7260
3000 0.0734 1.09 × 104
4000 0.0979 1.45 × 104
5000 0.122 1.82 × 104
6000 0.147 2.18 × 104
7000 0.171 2.54 × 104
8000 0.196 2.90 × 104
9000 0.220 3.27 × 104
1.00 × 104 0.245 3.63 × 104
2.00 × 104 0.490 7.26 × 104
3.00 × 104 0.734 1.09 × 105
4.00 × 104 0.979 1.45 × 105
5.00 × 104 1.22 1.82 × 105
6.00 × 104 1.47 2.18 × 105
7.00 × 104 1.71 2.54 × 105
8.00 × 104 1.96 2.90 × 105
8.18 × 104 2.00 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 0.00496 327
50.0 0.00620 409
60.0 0.00744 490
70.0 0.00868 572
80.0 0.00991 654
90.0 0.0112 735
100 0.0124 817
200 0.0248 1630
300 0.0372 2450
400 0.0496 3270
500 0.0620 4090
600 0.0744 4900
700 0.0868 5720
800 0.0991 6540
900 0.112 7350
1000 0.124 8170
2000 0.248 1.63 × 104
3000 0.372 2.45 × 104
4000 0.496 3.27 × 104
5000 0.620 4.09 × 104
6000 0.744 4.90 × 104
7000 0.868 5.72 × 104
8000 0.991 6.54 × 104
9000 1.12 7.35 × 104
1.00 × 104 1.24 8.17 × 104
2.00 × 104 2.48 1.63 × 105
3.00 × 104 3.72 2.45 × 105
3.64 × 104 4.51 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 0.0157 581
50.0 0.0196 726
60.0 0.0235 871
70.0 0.0274 1020
80.0 0.0313 1160
90.0 0.0353 1310
100 0.0392 1450
200 0.0783 2900
300 0.118 4360
400 0.157 5810
500 0.196 7260
600 0.235 8710
700 0.274 1.02 × 104
800 0.313 1.16 × 104
900 0.353 1.31 × 104
1000 0.392 1.45 × 104
2000 0.783 2.90 × 104
3000 1.18 4.36 × 104
4000 1.57 5.81 × 104
5000 1.96 7.26 × 104
6000 2.35 8.71 × 104
7000 2.74 1.02 × 105
8000 3.13 1.16 × 105
9000 3.53 1.31 × 105
1.00 × 104 3.92 1.45 × 105
2.00 × 104 7.83 2.90 × 105
2.05 × 104 8.01 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 0.0383 908
50.0 0.0478 1130
60.0 0.0574 1360
70.0 0.0669 1590
80.0 0.0765 1820
90.0 0.0861 2040
100 0.0956 2270
200 0.191 4540
300 0.287 6810
400 0.383 9080
500 0.478 1.13 × 104
600 0.574 1.36 × 104
700 0.669 1.59 × 104
800 0.765 1.82 × 104
900 0.861 2.04 × 104
1000 0.956 2.27 × 104
2000 1.91 4.54 × 104
3000 2.87 6.81 × 104
4000 3.83 9.08 × 104
5000 4.78 1.13 × 105
6000 5.74 1.36 × 105
7000 6.69 1.59 × 105
8000 7.65 1.82 × 105
8630 8.25 1.96 × 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 0.0793 1310
50.0 0.0991 1630
60.0 0.119 1960
70.0 0.139 2290
80.0 0.159 2610
90.0 0.178 2940
100 0.198 3270
200 0.397 6540
300 0.595 9800
400 0.793 1.31 × 104
500 0.991 1.63 × 104
600 1.19 1.96 × 104
700 1.39 2.29 × 104
800 1.59 2.61 × 104
900 1.78 2.94 × 104
1000 1.98 3.27 × 104
2000 3.97 6.54 × 104
3000 5.95 9.80 × 104
4000 7.93 1.31 × 105
4160 8.25 1.36 × 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 0.251 2320
50.0 0.313 2900
60.0 0.376 3490
70.0 0.439 4070
80.0 0.501 4650
90.0 0.564 5230
100 0.627 5810
200 1.25 1.16 × 104
300 1.88 1.74 × 104
400 2.51 2.32 × 104
500 3.13 2.90 × 104
600 3.76 3.49 × 104
700 4.39 4.07 × 104
800 5.01 4.65 × 104
900 5.64 5.23 × 104
1000 6.27 5.81 × 104
1320 8.25 7.65 × 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 0.612 3630
50.0 0.765 4540
60.0 0.918 5450
70.0 1.07 6350
80.0 1.22 7260
90.0 1.38 8170
100 1.53 9080
200 3.06 1.82 × 104
300 4.59 2.72 × 104
400 6.12 3.63 × 104
500 7.65 4.54 × 104
539 8.25 4.89 × 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 1.27 5230
50.0 1.59 6540
60.0 1.90 7840
70.0 2.22 9150
80.0 2.54 1.05 × 104
90.0 2.86 1.18 × 104
100 3.17 1.31 × 104
200 6.35 2.61 × 104
260 8.25 3.40 × 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 2.35 7120
50.0 2.94 8900
60.0 3.53 1.07 × 104
70.0 4.11 1.25 × 104
80.0 4.70 1.42 × 104
90.0 5.29 1.60 × 104
100 5.88 1.78 × 104
140 8.25 2.50 × 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 4.01 9300
50.0 5.01 1.16 × 104
60.0 6.02 1.39 × 104
70.0 7.02 1.63 × 104
80.0 8.02 1.86 × 104
82.3 8.25 1.91 × 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 6.42 1.18 × 104
50.0 8.03 1.47 × 104
51.4 8.25 1.51 × 104
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