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Wide Flange Steel I Beam: W8 × 48
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 7.55 × 10-6 12.8
50.0 7.87 × 10-6 13.4
60.0 9.44 × 10-6 16.0
70.0 1.10 × 10-5 18.7
80.0 1.26 × 10-5 21.4
90.0 1.42 × 10-5 24.0
100 1.57 × 10-5 26.7
200 3.15 × 10-5 53.4
300 4.72 × 10-5 80.2
400 6.29 × 10-5 107
500 7.87 × 10-5 134
600 9.44 × 10-5 160
700 1.10 × 10-4 187
800 1.26 × 10-4 214
900 1.42 × 10-4 240
1000 1.57 × 10-4 267
2000 3.15 × 10-4 534
3000 4.72 × 10-4 802
4000 6.29 × 10-4 1070
5000 7.87 × 10-4 1340
6000 9.44 × 10-4 1600
7000 0.00110 1870
8000 0.00126 2140
9000 0.00142 2400
1.00 × 104 0.00157 2670
2.00 × 104 0.00315 5340
3.00 × 104 0.00472 8020
4.00 × 104 0.00629 1.07 × 104
5.00 × 104 0.00787 1.34 × 104
6.00 × 104 0.00944 1.60 × 104
7.00 × 104 0.0110 1.87 × 104
8.00 × 104 0.0126 2.14 × 104
9.00 × 104 0.0142 2.40 × 104
1.00 × 105 0.0157 2.67 × 104
2.00 × 105 0.0315 5.34 × 104
3.00 × 105 0.0472 8.02 × 104
4.00 × 105 0.0629 1.07 × 105
5.00 × 105 0.0787 1.34 × 105
6.00 × 105 0.0944 1.60 × 105
7.00 × 105 0.110 1.87 × 105
8.00 × 105 0.126 2.14 × 105
9.00 × 105 0.142 2.40 × 105
1.00 × 106 0.157 2.67 × 105
1.11 × 106 0.175 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 5.83 × 10-5 35.6
50.0 6.07 × 10-5 37.1
60.0 7.28 × 10-5 44.5
70.0 8.50 × 10-5 51.9
80.0 9.71 × 10-5 59.4
90.0 1.09 × 10-4 66.8
100 1.21 × 10-4 74.2
200 2.43 × 10-4 148
300 3.64 × 10-4 223
400 4.86 × 10-4 297
500 6.07 × 10-4 371
600 7.28 × 10-4 445
700 8.50 × 10-4 519
800 9.71 × 10-4 594
900 0.00109 668
1000 0.00121 742
2000 0.00243 1480
3000 0.00364 2230
4000 0.00486 2970
5000 0.00607 3710
6000 0.00728 4450
7000 0.00850 5190
8000 0.00971 5940
9000 0.0109 6680
1.00 × 104 0.0121 7420
2.00 × 104 0.0243 1.48 × 104
3.00 × 104 0.0364 2.23 × 104
4.00 × 104 0.0486 2.97 × 104
5.00 × 104 0.0607 3.71 × 104
6.00 × 104 0.0728 4.45 × 104
7.00 × 104 0.0850 5.19 × 104
8.00 × 104 0.0971 5.94 × 104
9.00 × 104 0.109 6.68 × 104
1.00 × 105 0.121 7.42 × 104
2.00 × 105 0.243 1.48 × 105
3.00 × 105 0.364 2.23 × 105
4.00 × 105 0.486 2.97 × 105
4.00 × 105 0.486 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 9.32 × 10-4 142
50.0 9.71 × 10-4 148
60.0 0.00117 178
70.0 0.00136 208
80.0 0.00155 237
90.0 0.00175 267
100 0.00194 297
200 0.00389 594
300 0.00583 891
400 0.00777 1190
500 0.00971 1480
600 0.0117 1780
700 0.0136 2080
800 0.0155 2370
900 0.0175 2670
1000 0.0194 2970
2000 0.0389 5940
3000 0.0583 8910
4000 0.0777 1.19 × 104
5000 0.0971 1.48 × 104
6000 0.117 1.78 × 104
7000 0.136 2.08 × 104
8000 0.155 2.37 × 104
9000 0.175 2.67 × 104
1.00 × 104 0.194 2.97 × 104
2.00 × 104 0.389 5.94 × 104
3.00 × 104 0.583 8.91 × 104
4.00 × 104 0.777 1.19 × 105
5.00 × 104 0.971 1.48 × 105
6.00 × 104 1.17 1.78 × 105
7.00 × 104 1.36 2.08 × 105
8.00 × 104 1.55 2.37 × 105
9.00 × 104 1.75 2.67 × 105
1.00 × 105 1.94 2.97 × 105
1.00 × 105 1.94 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 0.00472 321
50.0 0.00492 334
60.0 0.00590 401
70.0 0.00688 468
80.0 0.00787 534
90.0 0.00885 601
100 0.00983 668
200 0.0197 1340
300 0.0295 2000
400 0.0393 2670
500 0.0492 3340
600 0.0590 4010
700 0.0688 4680
800 0.0787 5340
900 0.0885 6010
1000 0.0983 6680
2000 0.197 1.34 × 104
3000 0.295 2.00 × 104
4000 0.393 2.67 × 104
5000 0.492 3.34 × 104
6000 0.590 4.01 × 104
7000 0.688 4.68 × 104
8000 0.787 5.34 × 104
9000 0.885 6.01 × 104
1.00 × 104 0.983 6.68 × 104
2.00 × 104 1.97 1.34 × 105
3.00 × 104 2.95 2.00 × 105
4.00 × 104 3.93 2.67 × 105
4.45 × 104 4.37 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 0.0149 570
50.0 0.0155 594
60.0 0.0186 712
70.0 0.0218 831
80.0 0.0249 950
90.0 0.0280 1070
100 0.0311 1190
200 0.0622 2370
300 0.0932 3560
400 0.124 4750
500 0.155 5940
600 0.186 7120
700 0.218 8310
800 0.249 9500
900 0.280 1.07 × 104
1000 0.311 1.19 × 104
2000 0.622 2.37 × 104
3000 0.932 3.56 × 104
4000 1.24 4.75 × 104
5000 1.55 5.94 × 104
6000 1.86 7.12 × 104
7000 2.18 8.31 × 104
8000 2.49 9.50 × 104
9000 2.80 1.07 × 105
1.00 × 104 3.11 1.19 × 105
2.00 × 104 6.22 2.37 × 105
2.50 × 104 7.77 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 0.0364 891
50.0 0.0379 928
60.0 0.0455 1110
70.0 0.0531 1300
80.0 0.0607 1480
90.0 0.0683 1670
100 0.0759 1860
200 0.152 3710
300 0.228 5570
400 0.304 7420
500 0.379 9280
600 0.455 1.11 × 104
700 0.531 1.30 × 104
800 0.607 1.48 × 104
900 0.683 1.67 × 104
1000 0.759 1.86 × 104
2000 1.52 3.71 × 104
3000 2.28 5.57 × 104
4000 3.04 7.42 × 104
5000 3.79 9.28 × 104
6000 4.55 1.11 × 105
7000 5.31 1.30 × 105
8000 6.07 1.48 × 105
9000 6.83 1.67 × 105
1.00 × 104 7.59 1.86 × 105
1.60 × 104 12.1 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 0.0755 1280
50.0 0.0787 1340
60.0 0.0944 1600
70.0 0.110 1870
80.0 0.126 2140
90.0 0.142 2400
100 0.157 2670
200 0.315 5340
300 0.472 8020
400 0.629 1.07 × 104
500 0.787 1.34 × 104
600 0.944 1.60 × 104
700 1.10 1.87 × 104
800 1.26 2.14 × 104
900 1.42 2.40 × 104
1000 1.57 2.67 × 104
2000 3.15 5.34 × 104
3000 4.72 8.02 × 104
4000 6.29 1.07 × 105
5000 7.87 1.34 × 105
5400 8.50 1.44 × 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 0.239 2280
50.0 0.249 2370
60.0 0.298 2850
70.0 0.348 3320
80.0 0.398 3800
90.0 0.448 4270
100 0.497 4750
200 0.995 9500
300 1.49 1.42 × 104
400 1.99 1.90 × 104
500 2.49 2.37 × 104
600 2.98 2.85 × 104
700 3.48 3.32 × 104
800 3.98 3.80 × 104
900 4.48 4.27 × 104
1000 4.97 4.75 × 104
1710 8.50 8.12 × 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 0.583 3560
50.0 0.607 3710
60.0 0.728 4450
70.0 0.850 5190
80.0 0.971 5940
90.0 1.09 6680
100 1.21 7420
200 2.43 1.48 × 104
300 3.64 2.23 × 104
400 4.86 2.97 × 104
500 6.07 3.71 × 104
600 7.28 4.45 × 104
700 8.50 5.19 × 104
700 8.50 5.20 × 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 1.21 5130
50.0 1.26 5340
60.0 1.51 6410
70.0 1.76 7480
80.0 2.01 8550
90.0 2.27 9620
100 2.52 1.07 × 104
200 5.04 2.14 × 104
300 7.55 3.21 × 104
338 8.50 3.61 × 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 2.24 6980
50.0 2.33 7270
60.0 2.80 8730
70.0 3.26 1.02 × 104
80.0 3.73 1.16 × 104
90.0 4.20 1.31 × 104
100 4.66 1.45 × 104
182 8.50 2.65 × 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 3.82 9120
50.0 3.98 9500
60.0 4.77 1.14 × 104
70.0 5.57 1.33 × 104
80.0 6.37 1.52 × 104
90.0 7.16 1.71 × 104
100 7.96 1.90 × 104
107 8.50 2.03 × 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 6.12 1.15 × 104
50.0 6.37 1.20 × 104
60.0 7.65 1.44 × 104
66.7 8.50 1.60 × 104
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