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Wide Flange Steel I Beam: W8 × 48
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W8 × 48
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 = 184 in4) for the W8 × 48 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 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 8.15 × 10-6 12.0
50.0 8.49 × 10-6 12.5
60.0 1.02 × 10-5 15.0
70.0 1.19 × 10-5 17.5
80.0 1.36 × 10-5 20.0
90.0 1.53 × 10-5 22.5
100 1.70 × 10-5 24.9
200 3.40 × 10-5 49.9
300 5.09 × 10-5 74.8
400 6.79 × 10-5 99.8
500 8.49 × 10-5 125
600 1.02 × 10-4 150
700 1.19 × 10-4 175
800 1.36 × 10-4 200
900 1.53 × 10-4 225
1000 1.70 × 10-4 249
2000 3.40 × 10-4 499
3000 5.09 × 10-4 748
4000 6.79 × 10-4 998
5000 8.49 × 10-4 1250
6000 0.00102 1500
7000 0.00119 1750
8000 0.00136 2000
9000 0.00153 2250
1.00 × 104 0.00170 2490
2.00 × 104 0.00340 4990
3.00 × 104 0.00509 7480
4.00 × 104 0.00679 9980
5.00 × 104 0.00849 1.25 × 104
6.00 × 104 0.0102 1.50 × 104
7.00 × 104 0.0119 1.75 × 104
8.00 × 104 0.0136 2.00 × 104
9.00 × 104 0.0153 2.25 × 104
1.00 × 105 0.0170 2.49 × 104
2.00 × 105 0.0340 4.99 × 104
3.00 × 105 0.0509 7.48 × 104
4.00 × 105 0.0679 9.98 × 104
5.00 × 105 0.0849 1.25 × 105
6.00 × 105 0.102 1.50 × 105
7.00 × 105 0.119 1.75 × 105
8.00 × 105 0.136 2.00 × 105
9.00 × 105 0.153 2.25 × 105
1.00 × 106 0.170 2.49 × 105
1.19 × 106 0.202 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 6.29 × 10-5 33.3
50.0 6.55 × 10-5 34.6
60.0 7.86 × 10-5 41.6
70.0 9.17 × 10-5 48.5
80.0 1.05 × 10-4 55.4
90.0 1.18 × 10-4 62.4
100 1.31 × 10-4 69.3
200 2.62 × 10-4 139
300 3.93 × 10-4 208
400 5.24 × 10-4 277
500 6.55 × 10-4 346
600 7.86 × 10-4 416
700 9.17 × 10-4 485
800 0.00105 554
900 0.00118 624
1000 0.00131 693
2000 0.00262 1390
3000 0.00393 2080
4000 0.00524 2770
5000 0.00655 3460
6000 0.00786 4160
7000 0.00917 4850
8000 0.0105 5540
9000 0.0118 6240
1.00 × 104 0.0131 6930
2.00 × 104 0.0262 1.39 × 104
3.00 × 104 0.0393 2.08 × 104
4.00 × 104 0.0524 2.77 × 104
5.00 × 104 0.0655 3.46 × 104
6.00 × 104 0.0786 4.16 × 104
7.00 × 104 0.0917 4.85 × 104
8.00 × 104 0.105 5.54 × 104
9.00 × 104 0.118 6.24 × 104
1.00 × 105 0.131 6.93 × 104
2.00 × 105 0.262 1.39 × 105
3.00 × 105 0.393 2.08 × 105
4.00 × 105 0.524 2.77 × 105
4.29 × 105 0.562 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.00101 133
50.0 0.00105 139
60.0 0.00126 166
70.0 0.00147 194
80.0 0.00168 222
90.0 0.00189 249
100 0.00210 277
200 0.00419 554
300 0.00629 832
400 0.00839 1110
500 0.0105 1390
600 0.0126 1660
700 0.0147 1940
800 0.0168 2220
900 0.0189 2490
1000 0.0210 2770
2000 0.0419 5540
3000 0.0629 8320
4000 0.0839 1.11 × 104
5000 0.105 1.39 × 104
6000 0.126 1.66 × 104
7000 0.147 1.94 × 104
8000 0.168 2.22 × 104
9000 0.189 2.49 × 104
1.00 × 104 0.210 2.77 × 104
2.00 × 104 0.419 5.54 × 104
3.00 × 104 0.629 8.32 × 104
4.00 × 104 0.839 1.11 × 105
5.00 × 104 1.05 1.39 × 105
6.00 × 104 1.26 1.66 × 105
7.00 × 104 1.47 1.94 × 105
8.00 × 104 1.68 2.22 × 105
9.00 × 104 1.89 2.49 × 105
1.00 × 105 2.10 2.77 × 105
1.07 × 105 2.25 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.00509 299
50.0 0.00531 312
60.0 0.00637 374
70.0 0.00743 437
80.0 0.00849 499
90.0 0.00955 561
100 0.0106 624
200 0.0212 1250
300 0.0318 1870
400 0.0425 2490
500 0.0531 3120
600 0.0637 3740
700 0.0743 4370
800 0.0849 4990
900 0.0955 5610
1000 0.106 6240
2000 0.212 1.25 × 104
3000 0.318 1.87 × 104
4000 0.425 2.49 × 104
5000 0.531 3.12 × 104
6000 0.637 3.74 × 104
7000 0.743 4.37 × 104
8000 0.849 4.99 × 104
9000 0.955 5.61 × 104
1.00 × 104 1.06 6.24 × 104
2.00 × 104 2.12 1.25 × 105
3.00 × 104 3.18 1.87 × 105
4.00 × 104 4.25 2.49 × 105
4.76 × 104 5.06 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0161 532
50.0 0.0168 554
60.0 0.0201 665
70.0 0.0235 776
80.0 0.0268 887
90.0 0.0302 998
100 0.0335 1110
200 0.0671 2220
300 0.101 3330
400 0.134 4430
500 0.168 5540
600 0.201 6650
700 0.235 7760
800 0.268 8870
900 0.302 9980
1000 0.335 1.11 × 104
2000 0.671 2.22 × 104
3000 1.01 3.33 × 104
4000 1.34 4.43 × 104
5000 1.68 5.54 × 104
6000 2.01 6.65 × 104
7000 2.35 7.76 × 104
8000 2.68 8.87 × 104
9000 3.02 9.98 × 104
1.00 × 104 3.35 1.11 × 105
2.00 × 104 6.71 2.22 × 105
2.68 × 104 8.99 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0393 832
50.0 0.0410 866
60.0 0.0491 1040
70.0 0.0573 1210
80.0 0.0655 1390
90.0 0.0737 1560
100 0.0819 1730
200 0.164 3460
300 0.246 5200
400 0.328 6930
500 0.410 8660
600 0.491 1.04 × 104
700 0.573 1.21 × 104
800 0.655 1.39 × 104
900 0.737 1.56 × 104
1000 0.819 1.73 × 104
2000 1.64 3.46 × 104
3000 2.46 5.20 × 104
4000 3.28 6.93 × 104
5000 4.10 8.66 × 104
6000 4.91 1.04 × 105
7000 5.73 1.21 × 105
8000 6.55 1.39 × 105
9000 7.37 1.56 × 105
1.00 × 104 8.19 1.73 × 105
1.71 × 104 14.0 2.97 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.0815 1200
50.0 0.0849 1250
60.0 0.102 1500
70.0 0.119 1750
80.0 0.136 2000
90.0 0.153 2250
100 0.170 2490
200 0.340 4990
300 0.509 7480
400 0.679 9980
500 0.849 1.25 × 104
600 1.02 1.50 × 104
700 1.19 1.75 × 104
800 1.36 2.00 × 104
900 1.53 2.25 × 104
1000 1.70 2.49 × 104
2000 3.40 4.99 × 104
3000 5.09 7.48 × 104
4000 6.79 9.98 × 104
5000 8.49 1.25 × 105
5000 8.50 1.25 × 105
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.258 2130
50.0 0.268 2220
60.0 0.322 2660
70.0 0.376 3100
80.0 0.429 3550
90.0 0.483 3990
100 0.537 4430
200 1.07 8870
300 1.61 1.33 × 104
400 2.15 1.77 × 104
500 2.68 2.22 × 104
600 3.22 2.66 × 104
700 3.76 3.10 × 104
800 4.29 3.55 × 104
900 4.83 3.99 × 104
1000 5.37 4.43 × 104
1580 8.50 7.02 × 104
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 0.629 3330
50.0 0.655 3460
60.0 0.786 4160
70.0 0.917 4850
80.0 1.05 5540
90.0 1.18 6240
100 1.31 6930
200 2.62 1.39 × 104
300 3.93 2.08 × 104
400 5.24 2.77 × 104
500 6.55 3.46 × 104
600 7.86 4.16 × 104
649 8.50 4.49 × 104
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 1.30 4790
50.0 1.36 4990
60.0 1.63 5990
70.0 1.90 6980
80.0 2.17 7980
90.0 2.45 8980
100 2.72 9980
200 5.43 2.00 × 104
300 8.15 2.99 × 104
313 8.50 3.12 × 104
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 2.42 6520
50.0 2.52 6790
60.0 3.02 8150
70.0 3.52 9510
80.0 4.03 1.09 × 104
90.0 4.53 1.22 × 104
100 5.03 1.36 × 104
169 8.50 2.29 × 104
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 4.12 8510
50.0 4.29 8870
60.0 5.15 1.06 × 104
70.0 6.01 1.24 × 104
80.0 6.87 1.42 × 104
90.0 7.73 1.60 × 104
99.0 8.50 1.76 × 104
Steel I Beam: W8 × 48 (Wide Flange 8 inch tall × 48 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
48.0 6.60 1.08 × 104
50.0 6.88 1.12 × 104
60.0 8.25 1.35 × 104
61.8 8.50 1.39 × 104
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