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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W8 × 58
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 = 228 in4) for the W8 × 58 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 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 7.95 × 10-6 12.0
60.0 8.22 × 10-6 12.4
70.0 9.59 × 10-6 14.5
80.0 1.10 × 10-5 16.6
90.0 1.23 × 10-5 18.7
100 1.37 × 10-5 20.7
200 2.74 × 10-5 41.4
300 4.11 × 10-5 62.2
400 5.48 × 10-5 82.9
500 6.85 × 10-5 104
600 8.22 × 10-5 124
700 9.59 × 10-5 145
800 1.10 × 10-4 166
900 1.23 × 10-4 187
1000 1.37 × 10-4 207
2000 2.74 × 10-4 414
3000 4.11 × 10-4 622
4000 5.48 × 10-4 829
5000 6.85 × 10-4 1040
6000 8.22 × 10-4 1240
7000 9.59 × 10-4 1450
8000 0.00110 1660
9000 0.00123 1870
1.00 × 104 0.00137 2070
2.00 × 104 0.00274 4140
3.00 × 104 0.00411 6220
4.00 × 104 0.00548 8290
5.00 × 104 0.00685 1.04 × 104
6.00 × 104 0.00822 1.24 × 104
7.00 × 104 0.00959 1.45 × 104
8.00 × 104 0.0110 1.66 × 104
9.00 × 104 0.0123 1.87 × 104
1.00 × 105 0.0137 2.07 × 104
2.00 × 105 0.0274 4.14 × 104
3.00 × 105 0.0411 6.22 × 104
4.00 × 105 0.0548 8.29 × 104
5.00 × 105 0.0685 1.04 × 105
6.00 × 105 0.0822 1.24 × 105
7.00 × 105 0.0959 1.45 × 105
8.00 × 105 0.110 1.66 × 105
9.00 × 105 0.123 1.87 × 105
1.00 × 106 0.137 2.07 × 105
1.43 × 106 0.196 2.97 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 6.13 × 10-5 33.4
60.0 6.35 × 10-5 34.5
70.0 7.40 × 10-5 40.3
80.0 8.46 × 10-5 46.1
90.0 9.52 × 10-5 51.8
100 1.06 × 10-4 57.6
200 2.12 × 10-4 115
300 3.17 × 10-4 173
400 4.23 × 10-4 230
500 5.29 × 10-4 288
600 6.35 × 10-4 345
700 7.40 × 10-4 403
800 8.46 × 10-4 461
900 9.52 × 10-4 518
1000 0.00106 576
2000 0.00212 1150
3000 0.00317 1730
4000 0.00423 2300
5000 0.00529 2880
6000 0.00635 3450
7000 0.00740 4030
8000 0.00846 4610
9000 0.00952 5180
1.00 × 104 0.0106 5760
2.00 × 104 0.0212 1.15 × 104
3.00 × 104 0.0317 1.73 × 104
4.00 × 104 0.0423 2.30 × 104
5.00 × 104 0.0529 2.88 × 104
6.00 × 104 0.0635 3.45 × 104
7.00 × 104 0.0740 4.03 × 104
8.00 × 104 0.0846 4.61 × 104
9.00 × 104 0.0952 5.18 × 104
1.00 × 105 0.106 5.76 × 104
2.00 × 105 0.212 1.15 × 105
3.00 × 105 0.317 1.73 × 105
4.00 × 105 0.423 2.30 × 105
5.00 × 105 0.529 2.88 × 105
5.16 × 105 0.546 2.97 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 9.81 × 10-4 134
60.0 0.00102 138
70.0 0.00118 161
80.0 0.00135 184
90.0 0.00152 207
100 0.00169 230
200 0.00338 461
300 0.00508 691
400 0.00677 921
500 0.00846 1150
600 0.0102 1380
700 0.0118 1610
800 0.0135 1840
900 0.0152 2070
1000 0.0169 2300
2000 0.0338 4610
3000 0.0508 6910
4000 0.0677 9210
5000 0.0846 1.15 × 104
6000 0.102 1.38 × 104
7000 0.118 1.61 × 104
8000 0.135 1.84 × 104
9000 0.152 2.07 × 104
1.00 × 104 0.169 2.30 × 104
2.00 × 104 0.338 4.61 × 104
3.00 × 104 0.508 6.91 × 104
4.00 × 104 0.677 9.21 × 104
5.00 × 104 0.846 1.15 × 105
6.00 × 104 1.02 1.38 × 105
7.00 × 104 1.18 1.61 × 105
8.00 × 104 1.35 1.84 × 105
9.00 × 104 1.52 2.07 × 105
1.00 × 105 1.69 2.30 × 105
1.29 × 105 2.18 2.97 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.00497 300
60.0 0.00514 311
70.0 0.00600 363
80.0 0.00685 414
90.0 0.00771 466
100 0.00857 518
200 0.0171 1040
300 0.0257 1550
400 0.0343 2070
500 0.0428 2590
600 0.0514 3110
700 0.0600 3630
800 0.0685 4140
900 0.0771 4660
1000 0.0857 5180
2000 0.171 1.04 × 104
3000 0.257 1.55 × 104
4000 0.343 2.07 × 104
5000 0.428 2.59 × 104
6000 0.514 3.11 × 104
7000 0.600 3.63 × 104
8000 0.685 4.14 × 104
9000 0.771 4.66 × 104
1.00 × 104 0.857 5.18 × 104
2.00 × 104 1.71 1.04 × 105
3.00 × 104 2.57 1.55 × 105
4.00 × 104 3.43 2.07 × 105
5.00 × 104 4.28 2.59 × 105
5.73 × 104 4.91 2.97 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.0157 534
60.0 0.0162 553
70.0 0.0190 645
80.0 0.0217 737
90.0 0.0244 829
100 0.0271 921
200 0.0541 1840
300 0.0812 2760
400 0.108 3680
500 0.135 4610
600 0.162 5530
700 0.190 6450
800 0.217 7370
900 0.244 8290
1000 0.271 9210
2000 0.541 1.84 × 104
3000 0.812 2.76 × 104
4000 1.08 3.68 × 104
5000 1.35 4.61 × 104
6000 1.62 5.53 × 104
7000 1.90 6.45 × 104
8000 2.17 7.37 × 104
9000 2.44 8.29 × 104
1.00 × 104 2.71 9.21 × 104
2.00 × 104 5.41 1.84 × 105
3.00 × 104 8.12 2.76 × 105
3.22 × 104 8.73 2.97 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.0383 835
60.0 0.0397 863
70.0 0.0463 1010
80.0 0.0529 1150
90.0 0.0595 1300
100 0.0661 1440
200 0.132 2880
300 0.198 4320
400 0.264 5760
500 0.330 7200
600 0.397 8630
700 0.463 1.01 × 104
800 0.529 1.15 × 104
900 0.595 1.30 × 104
1000 0.661 1.44 × 104
2000 1.32 2.88 × 104
3000 1.98 4.32 × 104
4000 2.64 5.76 × 104
5000 3.30 7.20 × 104
6000 3.97 8.63 × 104
7000 4.63 1.01 × 105
8000 5.29 1.15 × 105
9000 5.95 1.30 × 105
1.00 × 104 6.61 1.44 × 105
1.32 × 104 8.75 1.91 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.0795 1200
60.0 0.0822 1240
70.0 0.0959 1450
80.0 0.110 1660
90.0 0.123 1870
100 0.137 2070
200 0.274 4140
300 0.411 6220
400 0.548 8290
500 0.685 1.04 × 104
600 0.822 1.24 × 104
700 0.959 1.45 × 104
800 1.10 1.66 × 104
900 1.23 1.87 × 104
1000 1.37 2.07 × 104
2000 2.74 4.14 × 104
3000 4.11 6.22 × 104
4000 5.48 8.29 × 104
5000 6.85 1.04 × 105
6000 8.22 1.24 × 105
6380 8.75 1.32 × 105
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.251 2140
60.0 0.260 2210
70.0 0.303 2580
80.0 0.347 2950
90.0 0.390 3320
100 0.433 3680
200 0.866 7370
300 1.30 1.11 × 104
400 1.73 1.47 × 104
500 2.17 1.84 × 104
600 2.60 2.21 × 104
700 3.03 2.58 × 104
800 3.47 2.95 × 104
900 3.90 3.32 × 104
1000 4.33 3.68 × 104
2000 8.66 7.37 × 104
2020 8.75 7.44 × 104
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 0.613 3340
60.0 0.635 3450
70.0 0.740 4030
80.0 0.846 4610
90.0 0.952 5180
100 1.06 5760
200 2.12 1.15 × 104
300 3.17 1.73 × 104
400 4.23 2.30 × 104
500 5.29 2.88 × 104
600 6.35 3.45 × 104
700 7.40 4.03 × 104
800 8.46 4.61 × 104
827 8.75 4.76 × 104
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 1.27 4810
60.0 1.32 4970
70.0 1.54 5800
80.0 1.75 6630
90.0 1.97 7460
100 2.19 8290
200 4.39 1.66 × 104
300 6.58 2.49 × 104
399 8.75 3.31 × 104
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 2.36 6540
60.0 2.44 6770
70.0 2.84 7900
80.0 3.25 9030
90.0 3.66 1.02 × 104
100 4.06 1.13 × 104
200 8.13 2.26 × 104
215 8.75 2.43 × 104
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 4.02 8550
60.0 4.16 8840
70.0 4.85 1.03 × 104
80.0 5.54 1.18 × 104
90.0 6.24 1.33 × 104
100 6.93 1.47 × 104
126 8.75 1.86 × 104
Steel I Beam: W8 × 58 (Wide Flange 8 inch tall × 58 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
58.0 6.44 1.08 × 104
60.0 6.66 1.12 × 104
70.0 7.77 1.31 × 104
78.8 8.75 1.47 × 104
Additional Information
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