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Wide Flange Steel I Beam: W6 × 12
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W6 × 12
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 span and the maximum normal stress stress_max occuring at the second and third support of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 22.1 in4) for the W6 × 12 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 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.70 × 10-5 17.7
20.0 2.83 × 10-5 29.5
30.0 4.24 × 10-5 44.2
40.0 5.66 × 10-5 58.9
50.0 7.07 × 10-5 73.7
60.0 8.48 × 10-5 88.4
70.0 9.90 × 10-5 103
80.0 1.13 × 10-4 118
90.0 1.27 × 10-4 133
100 1.41 × 10-4 147
200 2.83 × 10-4 295
300 4.24 × 10-4 442
400 5.66 × 10-4 589
500 7.07 × 10-4 737
600 8.48 × 10-4 884
700 9.90 × 10-4 1030
800 0.00113 1180
900 0.00127 1330
1000 0.00141 1470
2000 0.00283 2950
3000 0.00424 4420
4000 0.00566 5890
5000 0.00707 7370
6000 0.00848 8840
7000 0.00990 1.03 × 104
8000 0.0113 1.18 × 104
9000 0.0127 1.33 × 104
1.00 × 104 0.0141 1.47 × 104
2.00 × 104 0.0283 2.95 × 104
3.00 × 104 0.0424 4.42 × 104
4.00 × 104 0.0566 5.89 × 104
5.00 × 104 0.0707 7.37 × 104
6.00 × 104 0.0848 8.84 × 104
7.00 × 104 0.0990 1.03 × 105
8.00 × 104 0.113 1.18 × 105
9.00 × 104 0.127 1.33 × 105
1.00 × 105 0.141 1.47 × 105
2.00 × 105 0.283 2.95 × 105
2.02 × 105 0.285 2.97 × 105
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.31 × 10-4 49.1
20.0 2.18 × 10-4 81.9
30.0 3.27 × 10-4 123
40.0 4.36 × 10-4 164
50.0 5.46 × 10-4 205
60.0 6.55 × 10-4 246
70.0 7.64 × 10-4 286
80.0 8.73 × 10-4 327
90.0 9.82 × 10-4 368
100 0.00109 409
200 0.00218 819
300 0.00327 1230
400 0.00436 1640
500 0.00546 2050
600 0.00655 2460
700 0.00764 2860
800 0.00873 3270
900 0.00982 3680
1000 0.0109 4090
2000 0.0218 8190
3000 0.0327 1.23 × 104
4000 0.0436 1.64 × 104
5000 0.0546 2.05 × 104
6000 0.0655 2.46 × 104
7000 0.0764 2.86 × 104
8000 0.0873 3.27 × 104
9000 0.0982 3.68 × 104
1.00 × 104 0.109 4.09 × 104
2.00 × 104 0.218 8.19 × 104
3.00 × 104 0.327 1.23 × 105
4.00 × 104 0.436 1.64 × 105
5.00 × 104 0.546 2.05 × 105
6.00 × 104 0.655 2.46 × 105
7.00 × 104 0.764 2.86 × 105
7.26 × 104 0.792 2.97 × 105
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.00209 196
20.0 0.00349 327
30.0 0.00524 491
40.0 0.00698 655
50.0 0.00873 819
60.0 0.0105 982
70.0 0.0122 1150
80.0 0.0140 1310
90.0 0.0157 1470
100 0.0175 1640
200 0.0349 3270
300 0.0524 4910
400 0.0698 6550
500 0.0873 8190
600 0.105 9820
700 0.122 1.15 × 104
800 0.140 1.31 × 104
900 0.157 1.47 × 104
1000 0.175 1.64 × 104
2000 0.349 3.27 × 104
3000 0.524 4.91 × 104
4000 0.698 6.55 × 104
5000 0.873 8.19 × 104
6000 1.05 9.82 × 104
7000 1.22 1.15 × 105
8000 1.40 1.31 × 105
9000 1.57 1.47 × 105
1.00 × 104 1.75 1.64 × 105
1.81 × 104 3.17 2.97 × 105
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0106 442
20.0 0.0177 737
30.0 0.0265 1110
40.0 0.0353 1470
50.0 0.0442 1840
60.0 0.0530 2210
70.0 0.0619 2580
80.0 0.0707 2950
90.0 0.0795 3320
100 0.0884 3680
200 0.177 7370
300 0.265 1.11 × 104
400 0.353 1.47 × 104
500 0.442 1.84 × 104
600 0.530 2.21 × 104
700 0.619 2.58 × 104
800 0.707 2.95 × 104
900 0.795 3.32 × 104
1000 0.884 3.68 × 104
2000 1.77 7.37 × 104
3000 2.65 1.11 × 105
4000 3.53 1.47 × 105
5000 4.42 1.84 × 105
6000 5.30 2.21 × 105
6820 6.03 2.51 × 105
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0335 786
20.0 0.0559 1310
30.0 0.0838 1960
40.0 0.112 2620
50.0 0.140 3270
60.0 0.168 3930
70.0 0.196 4580
80.0 0.223 5240
90.0 0.251 5890
100 0.279 6550
200 0.559 1.31 × 104
300 0.838 1.96 × 104
400 1.12 2.62 × 104
500 1.40 3.27 × 104
600 1.68 3.93 × 104
700 1.96 4.58 × 104
800 2.23 5.24 × 104
900 2.51 5.89 × 104
1000 2.79 6.55 × 104
2000 5.59 1.31 × 105
2160 6.03 1.41 × 105
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0818 1230
20.0 0.136 2050
30.0 0.205 3070
40.0 0.273 4090
50.0 0.341 5120
60.0 0.409 6140
70.0 0.477 7160
80.0 0.546 8190
90.0 0.614 9210
100 0.682 1.02 × 104
200 1.36 2.05 × 104
300 2.05 3.07 × 104
400 2.73 4.09 × 104
500 3.41 5.12 × 104
600 4.09 6.14 × 104
700 4.77 7.16 × 104
800 5.46 8.19 × 104
884 6.03 9.05 × 104
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.170 1770
20.0 0.283 2950
30.0 0.424 4420
40.0 0.566 5890
50.0 0.707 7370
60.0 0.848 8840
70.0 0.990 1.03 × 104
80.0 1.13 1.18 × 104
90.0 1.27 1.33 × 104
100 1.41 1.47 × 104
200 2.83 2.95 × 104
300 4.24 4.42 × 104
400 5.66 5.89 × 104
426 6.03 6.28 × 104
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.536 3140
20.0 0.894 5240
30.0 1.34 7860
40.0 1.79 1.05 × 104
50.0 2.23 1.31 × 104
60.0 2.68 1.57 × 104
70.0 3.13 1.83 × 104
80.0 3.58 2.10 × 104
90.0 4.02 2.36 × 104
100 4.47 2.62 × 104
135 6.03 3.53 × 104
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.31 4910
20.0 2.18 8190
30.0 3.27 1.23 × 104
40.0 4.36 1.64 × 104
50.0 5.46 2.05 × 104
55.3 6.03 2.26 × 104
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 2.71 7070
20.0 4.52 1.18 × 104
26.7 6.03 1.57 × 104
Steel I Beam: W6 × 12 (Wide Flange 6 inch tall × 12 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 5.03 9630
14.4 6.03 1.15 × 104
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