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Wide Flange Steel I Beam: W8 × 24
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W8 × 24
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 = 82.8 in4) for the W8 × 24 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 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 8.39 × 10-6 13.3
30.0 1.05 × 10-5 16.6
40.0 1.40 × 10-5 22.2
50.0 1.75 × 10-5 27.7
60.0 2.10 × 10-5 33.2
70.0 2.45 × 10-5 38.8
80.0 2.80 × 10-5 44.3
90.0 3.15 × 10-5 49.9
100 3.50 × 10-5 55.4
200 6.99 × 10-5 111
300 1.05 × 10-4 166
400 1.40 × 10-4 222
500 1.75 × 10-4 277
600 2.10 × 10-4 332
700 2.45 × 10-4 388
800 2.80 × 10-4 443
900 3.15 × 10-4 499
1000 3.50 × 10-4 554
2000 6.99 × 10-4 1110
3000 0.00105 1660
4000 0.00140 2220
5000 0.00175 2770
6000 0.00210 3320
7000 0.00245 3880
8000 0.00280 4430
9000 0.00315 4990
1.00 × 104 0.00350 5540
2.00 × 104 0.00699 1.11 × 104
3.00 × 104 0.0105 1.66 × 104
4.00 × 104 0.0140 2.22 × 104
5.00 × 104 0.0175 2.77 × 104
6.00 × 104 0.0210 3.32 × 104
7.00 × 104 0.0245 3.88 × 104
8.00 × 104 0.0280 4.43 × 104
9.00 × 104 0.0315 4.99 × 104
1.00 × 105 0.0350 5.54 × 104
2.00 × 105 0.0699 1.11 × 105
3.00 × 105 0.105 1.66 × 105
4.00 × 105 0.140 2.22 × 105
5.00 × 105 0.175 2.77 × 105
5.36 × 105 0.188 2.97 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 6.48 × 10-5 36.9
30.0 8.09 × 10-5 46.2
40.0 1.08 × 10-4 61.5
50.0 1.35 × 10-4 76.9
60.0 1.62 × 10-4 92.3
70.0 1.89 × 10-4 108
80.0 2.16 × 10-4 123
90.0 2.43 × 10-4 138
100 2.70 × 10-4 154
200 5.40 × 10-4 308
300 8.09 × 10-4 462
400 0.00108 615
500 0.00135 769
600 0.00162 923
700 0.00189 1080
800 0.00216 1230
900 0.00243 1380
1000 0.00270 1540
2000 0.00540 3080
3000 0.00809 4620
4000 0.0108 6150
5000 0.0135 7690
6000 0.0162 9230
7000 0.0189 1.08 × 104
8000 0.0216 1.23 × 104
9000 0.0243 1.38 × 104
1.00 × 104 0.0270 1.54 × 104
2.00 × 104 0.0540 3.08 × 104
3.00 × 104 0.0809 4.62 × 104
4.00 × 104 0.108 6.15 × 104
5.00 × 104 0.135 7.69 × 104
6.00 × 104 0.162 9.23 × 104
7.00 × 104 0.189 1.08 × 105
8.00 × 104 0.216 1.23 × 105
9.00 × 104 0.243 1.38 × 105
1.00 × 105 0.270 1.54 × 105
1.93 × 105 0.521 2.97 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.00104 148
30.0 0.00130 185
40.0 0.00173 246
50.0 0.00216 308
60.0 0.00259 369
70.0 0.00302 431
80.0 0.00345 492
90.0 0.00389 554
100 0.00432 615
200 0.00863 1230
300 0.0130 1850
400 0.0173 2460
500 0.0216 3080
600 0.0259 3690
700 0.0302 4310
800 0.0345 4920
900 0.0389 5540
1000 0.0432 6150
2000 0.0863 1.23 × 104
3000 0.130 1.85 × 104
4000 0.173 2.46 × 104
5000 0.216 3.08 × 104
6000 0.259 3.69 × 104
7000 0.302 4.31 × 104
8000 0.345 4.92 × 104
9000 0.389 5.54 × 104
1.00 × 104 0.432 6.15 × 104
2.00 × 104 0.863 1.23 × 105
3.00 × 104 1.30 1.85 × 105
4.00 × 104 1.73 2.46 × 105
4.83 × 104 2.08 2.97 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.00524 332
30.0 0.00656 415
40.0 0.00874 554
50.0 0.0109 692
60.0 0.0131 831
70.0 0.0153 969
80.0 0.0175 1110
90.0 0.0197 1250
100 0.0219 1380
200 0.0437 2770
300 0.0656 4150
400 0.0874 5540
500 0.109 6920
600 0.131 8310
700 0.153 9690
800 0.175 1.11 × 104
900 0.197 1.25 × 104
1000 0.219 1.38 × 104
2000 0.437 2.77 × 104
3000 0.656 4.15 × 104
4000 0.874 5.54 × 104
5000 1.09 6.92 × 104
6000 1.31 8.31 × 104
7000 1.53 9.69 × 104
8000 1.75 1.11 × 105
9000 1.97 1.25 × 105
1.00 × 104 2.19 1.38 × 105
2.00 × 104 4.37 2.77 × 105
2.15 × 104 4.69 2.97 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.0166 591
30.0 0.0207 739
40.0 0.0276 985
50.0 0.0345 1230
60.0 0.0414 1480
70.0 0.0483 1720
80.0 0.0553 1970
90.0 0.0622 2220
100 0.0691 2460
200 0.138 4920
300 0.207 7390
400 0.276 9850
500 0.345 1.23 × 104
600 0.414 1.48 × 104
700 0.483 1.72 × 104
800 0.553 1.97 × 104
900 0.622 2.22 × 104
1000 0.691 2.46 × 104
2000 1.38 4.92 × 104
3000 2.07 7.39 × 104
4000 2.76 9.85 × 104
5000 3.45 1.23 × 105
6000 4.14 1.48 × 105
7000 4.83 1.72 × 105
8000 5.53 1.97 × 105
9000 6.22 2.22 × 105
1.00 × 104 6.91 2.46 × 105
1.21 × 104 8.33 2.97 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.0405 923
30.0 0.0506 1150
40.0 0.0674 1540
50.0 0.0843 1920
60.0 0.101 2310
70.0 0.118 2690
80.0 0.135 3080
90.0 0.152 3460
100 0.169 3850
200 0.337 7690
300 0.506 1.15 × 104
400 0.674 1.54 × 104
500 0.843 1.92 × 104
600 1.01 2.31 × 104
700 1.18 2.69 × 104
800 1.35 3.08 × 104
900 1.52 3.46 × 104
1000 1.69 3.85 × 104
2000 3.37 7.69 × 104
3000 5.06 1.15 × 105
4000 6.74 1.54 × 105
4700 7.93 1.81 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.0839 1330
30.0 0.105 1660
40.0 0.140 2220
50.0 0.175 2770
60.0 0.210 3320
70.0 0.245 3880
80.0 0.280 4430
90.0 0.315 4990
100 0.350 5540
200 0.699 1.11 × 104
300 1.05 1.66 × 104
400 1.40 2.22 × 104
500 1.75 2.77 × 104
600 2.10 3.32 × 104
700 2.45 3.88 × 104
800 2.80 4.43 × 104
900 3.15 4.99 × 104
1000 3.50 5.54 × 104
2000 6.99 1.11 × 105
2270 7.93 1.26 × 105
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.265 2360
30.0 0.332 2950
40.0 0.442 3940
50.0 0.553 4920
60.0 0.663 5910
70.0 0.774 6890
80.0 0.884 7880
90.0 0.995 8860
100 1.11 9850
200 2.21 1.97 × 104
300 3.32 2.95 × 104
400 4.42 3.94 × 104
500 5.53 4.92 × 104
600 6.63 5.91 × 104
700 7.74 6.89 × 104
718 7.93 7.07 × 104
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 0.648 3690
30.0 0.809 4620
40.0 1.08 6150
50.0 1.35 7690
60.0 1.62 9230
70.0 1.89 1.08 × 104
80.0 2.16 1.23 × 104
90.0 2.43 1.38 × 104
100 2.70 1.54 × 104
200 5.40 3.08 × 104
294 7.93 4.52 × 104
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 1.34 5320
30.0 1.68 6650
40.0 2.24 8860
50.0 2.80 1.11 × 104
60.0 3.36 1.33 × 104
70.0 3.92 1.55 × 104
80.0 4.48 1.77 × 104
90.0 5.04 1.99 × 104
100 5.59 2.22 × 104
142 7.93 3.14 × 104
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 2.49 7240
30.0 3.11 9050
40.0 4.15 1.21 × 104
50.0 5.18 1.51 × 104
60.0 6.22 1.81 × 104
70.0 7.26 2.11 × 104
76.5 7.93 2.31 × 104
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 4.24 9450
30.0 5.30 1.18 × 104
40.0 7.07 1.58 × 104
44.8 7.93 1.77 × 104
Steel I Beam: W8 × 24 (Wide Flange 8 inch tall × 24 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
24.0 6.80 1.20 × 104
28.0 7.93 1.40 × 104
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