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Wide Flange Steel I Beam: W8 × 15
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W8 × 15
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 = 48.0 in4) for the W8 × 15 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 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 9.77 × 10-6 13.7
20.0 1.30 × 10-5 18.2
30.0 1.95 × 10-5 27.4
40.0 2.60 × 10-5 36.5
50.0 3.26 × 10-5 45.6
60.0 3.91 × 10-5 54.7
70.0 4.56 × 10-5 63.9
80.0 5.21 × 10-5 73.0
90.0 5.86 × 10-5 82.1
100 6.51 × 10-5 91.2
200 1.30 × 10-4 182
300 1.95 × 10-4 274
400 2.60 × 10-4 365
500 3.26 × 10-4 456
600 3.91 × 10-4 547
700 4.56 × 10-4 639
800 5.21 × 10-4 730
900 5.86 × 10-4 821
1000 6.51 × 10-4 912
2000 0.00130 1820
3000 0.00195 2740
4000 0.00260 3650
5000 0.00326 4560
6000 0.00391 5470
7000 0.00456 6390
8000 0.00521 7300
9000 0.00586 8210
1.00 × 104 0.00651 9120
2.00 × 104 0.0130 1.82 × 104
3.00 × 104 0.0195 2.74 × 104
4.00 × 104 0.0260 3.65 × 104
5.00 × 104 0.0326 4.56 × 104
6.00 × 104 0.0391 5.47 × 104
7.00 × 104 0.0456 6.39 × 104
8.00 × 104 0.0521 7.30 × 104
9.00 × 104 0.0586 8.21 × 104
1.00 × 105 0.0651 9.12 × 104
2.00 × 105 0.130 1.82 × 105
3.00 × 105 0.195 2.74 × 105
3.26 × 105 0.212 2.97 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 7.53 × 10-5 38.0
20.0 1.00 × 10-4 50.7
30.0 1.51 × 10-4 76.0
40.0 2.01 × 10-4 101
50.0 2.51 × 10-4 127
60.0 3.01 × 10-4 152
70.0 3.52 × 10-4 177
80.0 4.02 × 10-4 203
90.0 4.52 × 10-4 228
100 5.02 × 10-4 253
200 0.00100 507
300 0.00151 760
400 0.00201 1010
500 0.00251 1270
600 0.00301 1520
700 0.00352 1770
800 0.00402 2030
900 0.00452 2280
1000 0.00502 2530
2000 0.0100 5070
3000 0.0151 7600
4000 0.0201 1.01 × 104
5000 0.0251 1.27 × 104
6000 0.0301 1.52 × 104
7000 0.0352 1.77 × 104
8000 0.0402 2.03 × 104
9000 0.0452 2.28 × 104
1.00 × 104 0.0502 2.53 × 104
2.00 × 104 0.100 5.07 × 104
3.00 × 104 0.151 7.60 × 104
4.00 × 104 0.201 1.01 × 105
5.00 × 104 0.251 1.27 × 105
6.00 × 104 0.301 1.52 × 105
7.00 × 104 0.352 1.77 × 105
8.00 × 104 0.402 2.03 × 105
9.00 × 104 0.452 2.28 × 105
1.00 × 105 0.502 2.53 × 105
1.17 × 105 0.589 2.97 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00121 152
20.0 0.00161 203
30.0 0.00241 304
40.0 0.00321 406
50.0 0.00402 507
60.0 0.00482 608
70.0 0.00563 710
80.0 0.00643 811
90.0 0.00723 912
100 0.00804 1010
200 0.0161 2030
300 0.0241 3040
400 0.0321 4060
500 0.0402 5070
600 0.0482 6080
700 0.0563 7100
800 0.0643 8110
900 0.0723 9120
1000 0.0804 1.01 × 104
2000 0.161 2.03 × 104
3000 0.241 3.04 × 104
4000 0.321 4.06 × 104
5000 0.402 5.07 × 104
6000 0.482 6.08 × 104
7000 0.563 7.10 × 104
8000 0.643 8.11 × 104
9000 0.723 9.12 × 104
1.00 × 104 0.804 1.01 × 105
2.00 × 104 1.61 2.03 × 105
2.93 × 104 2.36 2.97 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00610 342
20.0 0.00814 456
30.0 0.0122 684
40.0 0.0163 912
50.0 0.0203 1140
60.0 0.0244 1370
70.0 0.0285 1600
80.0 0.0326 1820
90.0 0.0366 2050
100 0.0407 2280
200 0.0814 4560
300 0.122 6840
400 0.163 9120
500 0.203 1.14 × 104
600 0.244 1.37 × 104
700 0.285 1.60 × 104
800 0.326 1.82 × 104
900 0.366 2.05 × 104
1000 0.407 2.28 × 104
2000 0.814 4.56 × 104
3000 1.22 6.84 × 104
4000 1.63 9.12 × 104
5000 2.03 1.14 × 105
6000 2.44 1.37 × 105
7000 2.85 1.60 × 105
8000 3.26 1.82 × 105
9000 3.66 2.05 × 105
1.00 × 104 4.07 2.28 × 105
1.30 × 104 5.30 2.97 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0193 608
20.0 0.0257 811
30.0 0.0386 1220
40.0 0.0514 1620
50.0 0.0643 2030
60.0 0.0772 2430
70.0 0.0900 2840
80.0 0.103 3240
90.0 0.116 3650
100 0.129 4060
200 0.257 8110
300 0.386 1.22 × 104
400 0.514 1.62 × 104
500 0.643 2.03 × 104
600 0.772 2.43 × 104
700 0.900 2.84 × 104
800 1.03 3.24 × 104
900 1.16 3.65 × 104
1000 1.29 4.06 × 104
2000 2.57 8.11 × 104
3000 3.86 1.22 × 105
4000 5.14 1.62 × 105
5000 6.43 2.03 × 105
6000 7.72 2.43 × 105
6310 8.11 2.56 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0471 950
20.0 0.0628 1270
30.0 0.0942 1900
40.0 0.126 2530
50.0 0.157 3170
60.0 0.188 3800
70.0 0.220 4440
80.0 0.251 5070
90.0 0.283 5700
100 0.314 6340
200 0.628 1.27 × 104
300 0.942 1.90 × 104
400 1.26 2.53 × 104
500 1.57 3.17 × 104
600 1.88 3.80 × 104
700 2.20 4.44 × 104
800 2.51 5.07 × 104
900 2.83 5.70 × 104
1000 3.14 6.34 × 104
2000 6.28 1.27 × 105
2580 8.11 1.64 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0977 1370
20.0 0.130 1820
30.0 0.195 2740
40.0 0.260 3650
50.0 0.326 4560
60.0 0.391 5470
70.0 0.456 6390
80.0 0.521 7300
90.0 0.586 8210
100 0.651 9120
200 1.30 1.82 × 104
300 1.95 2.74 × 104
400 2.60 3.65 × 104
500 3.26 4.56 × 104
600 3.91 5.47 × 104
700 4.56 6.39 × 104
800 5.21 7.30 × 104
900 5.86 8.21 × 104
1000 6.51 9.12 × 104
1250 8.11 1.14 × 105
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.309 2430
20.0 0.412 3240
30.0 0.617 4870
40.0 0.823 6490
50.0 1.03 8110
60.0 1.23 9730
70.0 1.44 1.14 × 104
80.0 1.65 1.30 × 104
90.0 1.85 1.46 × 104
100 2.06 1.62 × 104
200 4.12 3.24 × 104
300 6.17 4.87 × 104
394 8.11 6.39 × 104
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.753 3800
20.0 1.00 5070
30.0 1.51 7600
40.0 2.01 1.01 × 104
50.0 2.51 1.27 × 104
60.0 3.01 1.52 × 104
70.0 3.52 1.77 × 104
80.0 4.02 2.03 × 104
90.0 4.52 2.28 × 104
100 5.02 2.53 × 104
161 8.11 4.09 × 104
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.56 5470
20.0 2.08 7300
30.0 3.12 1.09 × 104
40.0 4.17 1.46 × 104
50.0 5.21 1.82 × 104
60.0 6.25 2.19 × 104
70.0 7.29 2.55 × 104
77.9 8.11 2.84 × 104
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 2.89 7450
20.0 3.86 9930
30.0 5.79 1.49 × 104
40.0 7.72 1.99 × 104
42.0 8.11 2.09 × 104
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 4.94 9730
20.0 6.58 1.30 × 104
24.6 8.11 1.60 × 104
Steel I Beam: W8 × 15 (Wide Flange 8 inch tall × 15 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 7.91 1.23 × 104
15.4 8.11 1.26 × 104
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