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Wide Flange Steel I Beam: W6 × 15
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W6 × 15
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 = 29.1 in4) for the W6 × 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
  
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.49 × 10-5 17.9
20.0 1.99 × 10-5 23.8
30.0 2.98 × 10-5 35.7
40.0 3.98 × 10-5 47.6
50.0 4.97 × 10-5 59.5
60.0 5.97 × 10-5 71.4
70.0 6.96 × 10-5 83.3
80.0 7.96 × 10-5 95.2
90.0 8.95 × 10-5 107
100 9.95 × 10-5 119
200 1.99 × 10-4 238
300 2.98 × 10-4 357
400 3.98 × 10-4 476
500 4.97 × 10-4 595
600 5.97 × 10-4 714
700 6.96 × 10-4 833
800 7.96 × 10-4 952
900 8.95 × 10-4 1070
1000 9.95 × 10-4 1190
2000 0.00199 2380
3000 0.00298 3570
4000 0.00398 4760
5000 0.00497 5950
6000 0.00597 7140
7000 0.00696 8330
8000 0.00796 9520
9000 0.00895 1.07 × 104
1.00 × 104 0.00995 1.19 × 104
2.00 × 104 0.0199 2.38 × 104
3.00 × 104 0.0298 3.57 × 104
4.00 × 104 0.0398 4.76 × 104
5.00 × 104 0.0497 5.95 × 104
6.00 × 104 0.0597 7.14 × 104
7.00 × 104 0.0696 8.33 × 104
8.00 × 104 0.0796 9.52 × 104
9.00 × 104 0.0895 1.07 × 105
1.00 × 105 0.0995 1.19 × 105
2.00 × 105 0.199 2.38 × 105
2.50 × 105 0.248 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.15 × 10-4 49.6
20.0 1.54 × 10-4 66.1
30.0 2.30 × 10-4 99.2
40.0 3.07 × 10-4 132
50.0 3.84 × 10-4 165
60.0 4.61 × 10-4 198
70.0 5.37 × 10-4 231
80.0 6.14 × 10-4 265
90.0 6.91 × 10-4 298
100 7.68 × 10-4 331
200 0.00154 661
300 0.00230 992
400 0.00307 1320
500 0.00384 1650
600 0.00461 1980
700 0.00537 2310
800 0.00614 2650
900 0.00691 2980
1000 0.00768 3310
2000 0.0154 6610
3000 0.0230 9920
4000 0.0307 1.32 × 104
5000 0.0384 1.65 × 104
6000 0.0461 1.98 × 104
7000 0.0537 2.31 × 104
8000 0.0614 2.65 × 104
9000 0.0691 2.98 × 104
1.00 × 104 0.0768 3.31 × 104
2.00 × 104 0.154 6.61 × 104
3.00 × 104 0.230 9.92 × 104
4.00 × 104 0.307 1.32 × 105
5.00 × 104 0.384 1.65 × 105
6.00 × 104 0.461 1.98 × 105
7.00 × 104 0.537 2.31 × 105
8.00 × 104 0.614 2.65 × 105
8.98 × 104 0.690 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00184 198
20.0 0.00246 265
30.0 0.00368 397
40.0 0.00491 529
50.0 0.00614 661
60.0 0.00737 794
70.0 0.00860 926
80.0 0.00983 1060
90.0 0.0111 1190
100 0.0123 1320
200 0.0246 2650
300 0.0368 3970
400 0.0491 5290
500 0.0614 6610
600 0.0737 7940
700 0.0860 9260
800 0.0983 1.06 × 104
900 0.111 1.19 × 104
1000 0.123 1.32 × 104
2000 0.246 2.65 × 104
3000 0.368 3.97 × 104
4000 0.491 5.29 × 104
5000 0.614 6.61 × 104
6000 0.737 7.94 × 104
7000 0.860 9.26 × 104
8000 0.983 1.06 × 105
9000 1.11 1.19 × 105
1.00 × 104 1.23 1.32 × 105
2.00 × 104 2.46 2.65 × 105
2.25 × 104 2.76 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00933 446
20.0 0.0124 595
30.0 0.0187 893
40.0 0.0249 1190
50.0 0.0311 1490
60.0 0.0373 1790
70.0 0.0435 2080
80.0 0.0497 2380
90.0 0.0560 2680
100 0.0622 2980
200 0.124 5950
300 0.187 8930
400 0.249 1.19 × 104
500 0.311 1.49 × 104
600 0.373 1.79 × 104
700 0.435 2.08 × 104
800 0.497 2.38 × 104
900 0.560 2.68 × 104
1000 0.622 2.98 × 104
2000 1.24 5.95 × 104
3000 1.87 8.93 × 104
4000 2.49 1.19 × 105
5000 3.11 1.49 × 105
6000 3.73 1.79 × 105
7000 4.35 2.08 × 105
8000 4.97 2.38 × 105
9000 5.60 2.68 × 105
9980 6.21 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0295 794
20.0 0.0393 1060
30.0 0.0590 1590
40.0 0.0786 2120
50.0 0.0983 2650
60.0 0.118 3170
70.0 0.138 3700
80.0 0.157 4230
90.0 0.177 4760
100 0.197 5290
200 0.393 1.06 × 104
300 0.590 1.59 × 104
400 0.786 2.12 × 104
500 0.983 2.65 × 104
600 1.18 3.17 × 104
700 1.38 3.70 × 104
800 1.57 4.23 × 104
900 1.77 4.76 × 104
1000 1.97 5.29 × 104
2000 3.93 1.06 × 105
3000 5.90 1.59 × 105
3050 5.99 1.61 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0720 1240
20.0 0.0960 1650
30.0 0.144 2480
40.0 0.192 3310
50.0 0.240 4130
60.0 0.288 4960
70.0 0.336 5790
80.0 0.384 6610
90.0 0.432 7440
100 0.480 8270
200 0.960 1.65 × 104
300 1.44 2.48 × 104
400 1.92 3.31 × 104
500 2.40 4.13 × 104
600 2.88 4.96 × 104
700 3.36 5.79 × 104
800 3.84 6.61 × 104
900 4.32 7.44 × 104
1000 4.80 8.27 × 104
1250 5.99 1.03 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.149 1790
20.0 0.199 2380
30.0 0.298 3570
40.0 0.398 4760
50.0 0.497 5950
60.0 0.597 7140
70.0 0.696 8330
80.0 0.796 9520
90.0 0.895 1.07 × 104
100 0.995 1.19 × 104
200 1.99 2.38 × 104
300 2.98 3.57 × 104
400 3.98 4.76 × 104
500 4.97 5.95 × 104
600 5.97 7.14 × 104
602 5.99 7.17 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.472 3170
20.0 0.629 4230
30.0 0.943 6350
40.0 1.26 8470
50.0 1.57 1.06 × 104
60.0 1.89 1.27 × 104
70.0 2.20 1.48 × 104
80.0 2.52 1.69 × 104
90.0 2.83 1.90 × 104
100 3.14 2.12 × 104
191 5.99 4.03 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.15 4960
20.0 1.54 6610
30.0 2.30 9920
40.0 3.07 1.32 × 104
50.0 3.84 1.65 × 104
60.0 4.61 1.98 × 104
70.0 5.37 2.31 × 104
78.0 5.99 2.58 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 2.39 7140
20.0 3.18 9520
30.0 4.78 1.43 × 104
37.6 5.99 1.79 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 4.42 9720
20.0 5.90 1.30 × 104
20.3 5.99 1.32 × 104
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