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Wide Flange Steel I Beam: W8 × 24
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 9.06 × 10-6 12.4
30.0 1.13 × 10-5 15.5
40.0 1.51 × 10-5 20.7
50.0 1.89 × 10-5 25.9
60.0 2.26 × 10-5 31.0
70.0 2.64 × 10-5 36.2
80.0 3.02 × 10-5 41.4
90.0 3.40 × 10-5 46.5
100 3.77 × 10-5 51.7
200 7.55 × 10-5 103
300 1.13 × 10-4 155
400 1.51 × 10-4 207
500 1.89 × 10-4 259
600 2.26 × 10-4 310
700 2.64 × 10-4 362
800 3.02 × 10-4 414
900 3.40 × 10-4 465
1000 3.77 × 10-4 517
2000 7.55 × 10-4 1030
3000 0.00113 1550
4000 0.00151 2070
5000 0.00189 2590
6000 0.00226 3100
7000 0.00264 3620
8000 0.00302 4140
9000 0.00340 4650
1.00 × 104 0.00377 5170
2.00 × 104 0.00755 1.03 × 104
3.00 × 104 0.0113 1.55 × 104
4.00 × 104 0.0151 2.07 × 104
5.00 × 104 0.0189 2.59 × 104
6.00 × 104 0.0226 3.10 × 104
7.00 × 104 0.0264 3.62 × 104
8.00 × 104 0.0302 4.14 × 104
9.00 × 104 0.0340 4.65 × 104
1.00 × 105 0.0377 5.17 × 104
2.00 × 105 0.0755 1.03 × 105
3.00 × 105 0.113 1.55 × 105
4.00 × 105 0.151 2.07 × 105
5.00 × 105 0.189 2.59 × 105
5.74 × 105 0.217 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 6.99 × 10-5 34.5
30.0 8.74 × 10-5 43.1
40.0 1.16 × 10-4 57.5
50.0 1.46 × 10-4 71.8
60.0 1.75 × 10-4 86.2
70.0 2.04 × 10-4 101
80.0 2.33 × 10-4 115
90.0 2.62 × 10-4 129
100 2.91 × 10-4 144
200 5.82 × 10-4 287
300 8.74 × 10-4 431
400 0.00116 575
500 0.00146 718
600 0.00175 862
700 0.00204 1010
800 0.00233 1150
900 0.00262 1290
1000 0.00291 1440
2000 0.00582 2870
3000 0.00874 4310
4000 0.0116 5750
5000 0.0146 7180
6000 0.0175 8620
7000 0.0204 1.01 × 104
8000 0.0233 1.15 × 104
9000 0.0262 1.29 × 104
1.00 × 104 0.0291 1.44 × 104
2.00 × 104 0.0582 2.87 × 104
3.00 × 104 0.0874 4.31 × 104
4.00 × 104 0.116 5.75 × 104
5.00 × 104 0.146 7.18 × 104
6.00 × 104 0.175 8.62 × 104
7.00 × 104 0.204 1.01 × 105
8.00 × 104 0.233 1.15 × 105
9.00 × 104 0.262 1.29 × 105
1.00 × 105 0.291 1.44 × 105
2.00 × 105 0.582 2.87 × 105
2.07 × 105 0.602 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 0.00112 138
30.0 0.00140 172
40.0 0.00186 230
50.0 0.00233 287
60.0 0.00280 345
70.0 0.00326 402
80.0 0.00373 460
90.0 0.00419 517
100 0.00466 575
200 0.00932 1150
300 0.0140 1720
400 0.0186 2300
500 0.0233 2870
600 0.0280 3450
700 0.0326 4020
800 0.0373 4600
900 0.0419 5170
1000 0.0466 5750
2000 0.0932 1.15 × 104
3000 0.140 1.72 × 104
4000 0.186 2.30 × 104
5000 0.233 2.87 × 104
6000 0.280 3.45 × 104
7000 0.326 4.02 × 104
8000 0.373 4.60 × 104
9000 0.419 5.17 × 104
1.00 × 104 0.466 5.75 × 104
2.00 × 104 0.932 1.15 × 105
3.00 × 104 1.40 1.72 × 105
4.00 × 104 1.86 2.30 × 105
5.00 × 104 2.33 2.87 × 105
5.17 × 104 2.41 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 0.00566 310
30.0 0.00708 388
40.0 0.00944 517
50.0 0.0118 646
60.0 0.0142 776
70.0 0.0165 905
80.0 0.0189 1030
90.0 0.0212 1160
100 0.0236 1290
200 0.0472 2590
300 0.0708 3880
400 0.0944 5170
500 0.118 6460
600 0.142 7760
700 0.165 9050
800 0.189 1.03 × 104
900 0.212 1.16 × 104
1000 0.236 1.29 × 104
2000 0.472 2.59 × 104
3000 0.708 3.88 × 104
4000 0.944 5.17 × 104
5000 1.18 6.46 × 104
6000 1.42 7.76 × 104
7000 1.65 9.05 × 104
8000 1.89 1.03 × 105
9000 2.12 1.16 × 105
1.00 × 104 2.36 1.29 × 105
2.00 × 104 4.72 2.59 × 105
2.30 × 104 5.42 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 0.0179 552
30.0 0.0224 690
40.0 0.0298 919
50.0 0.0373 1150
60.0 0.0447 1380
70.0 0.0522 1610
80.0 0.0596 1840
90.0 0.0671 2070
100 0.0745 2300
200 0.149 4600
300 0.224 6900
400 0.298 9190
500 0.373 1.15 × 104
600 0.447 1.38 × 104
700 0.522 1.61 × 104
800 0.596 1.84 × 104
900 0.671 2.07 × 104
1000 0.745 2.30 × 104
2000 1.49 4.60 × 104
3000 2.24 6.90 × 104
4000 2.98 9.19 × 104
5000 3.73 1.15 × 105
6000 4.47 1.38 × 105
7000 5.22 1.61 × 105
8000 5.96 1.84 × 105
9000 6.71 2.07 × 105
1.00 × 104 7.45 2.30 × 105
1.29 × 104 9.63 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 0.0437 862
30.0 0.0546 1080
40.0 0.0728 1440
50.0 0.0910 1800
60.0 0.109 2150
70.0 0.127 2510
80.0 0.146 2870
90.0 0.164 3230
100 0.182 3590
200 0.364 7180
300 0.546 1.08 × 104
400 0.728 1.44 × 104
500 0.910 1.80 × 104
600 1.09 2.15 × 104
700 1.27 2.51 × 104
800 1.46 2.87 × 104
900 1.64 3.23 × 104
1000 1.82 3.59 × 104
2000 3.64 7.18 × 104
3000 5.46 1.08 × 105
4000 7.28 1.44 × 105
4360 7.93 1.56 × 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 0.0906 1240
30.0 0.113 1550
40.0 0.151 2070
50.0 0.189 2590
60.0 0.226 3100
70.0 0.264 3620
80.0 0.302 4140
90.0 0.340 4650
100 0.377 5170
200 0.755 1.03 × 104
300 1.13 1.55 × 104
400 1.51 2.07 × 104
500 1.89 2.59 × 104
600 2.26 3.10 × 104
700 2.64 3.62 × 104
800 3.02 4.14 × 104
900 3.40 4.65 × 104
1000 3.77 5.17 × 104
2000 7.55 1.03 × 105
2100 7.93 1.09 × 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 0.286 2210
30.0 0.358 2760
40.0 0.477 3680
50.0 0.596 4600
60.0 0.716 5520
70.0 0.835 6440
80.0 0.954 7360
90.0 1.07 8270
100 1.19 9190
200 2.39 1.84 × 104
300 3.58 2.76 × 104
400 4.77 3.68 × 104
500 5.96 4.60 × 104
600 7.16 5.52 × 104
665 7.93 6.11 × 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 0.699 3450
30.0 0.874 4310
40.0 1.16 5750
50.0 1.46 7180
60.0 1.75 8620
70.0 2.04 1.01 × 104
80.0 2.33 1.15 × 104
90.0 2.62 1.29 × 104
100 2.91 1.44 × 104
200 5.82 2.87 × 104
272 7.93 3.91 × 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 1.45 4960
30.0 1.81 6210
40.0 2.42 8270
50.0 3.02 1.03 × 104
60.0 3.62 1.24 × 104
70.0 4.23 1.45 × 104
80.0 4.83 1.65 × 104
90.0 5.43 1.86 × 104
100 6.04 2.07 × 104
131 7.93 2.72 × 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 2.68 6760
30.0 3.36 8450
40.0 4.47 1.13 × 104
50.0 5.59 1.41 × 104
60.0 6.71 1.69 × 104
70.0 7.83 1.97 × 104
70.9 7.93 2.00 × 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 4.58 8830
30.0 5.73 1.10 × 104
40.0 7.63 1.47 × 104
41.6 7.93 1.53 × 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 7.34 1.12 × 104
25.9 7.93 1.21 × 104
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