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Wide Flange Steel I Beam: W6 × 12
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 1.57 × 10-5 18.9
20.0 2.62 × 10-5 31.6
30.0 3.93 × 10-5 47.3
40.0 5.24 × 10-5 63.1
50.0 6.55 × 10-5 78.9
60.0 7.86 × 10-5 94.7
70.0 9.17 × 10-5 110
80.0 1.05 × 10-4 126
90.0 1.18 × 10-4 142
100 1.31 × 10-4 158
200 2.62 × 10-4 316
300 3.93 × 10-4 473
400 5.24 × 10-4 631
500 6.55 × 10-4 789
600 7.86 × 10-4 947
700 9.17 × 10-4 1100
800 0.00105 1260
900 0.00118 1420
1000 0.00131 1580
2000 0.00262 3160
3000 0.00393 4730
4000 0.00524 6310
5000 0.00655 7890
6000 0.00786 9470
7000 0.00917 1.10 × 104
8000 0.0105 1.26 × 104
9000 0.0118 1.42 × 104
1.00 × 104 0.0131 1.58 × 104
2.00 × 104 0.0262 3.16 × 104
3.00 × 104 0.0393 4.73 × 104
4.00 × 104 0.0524 6.31 × 104
5.00 × 104 0.0655 7.89 × 104
6.00 × 104 0.0786 9.47 × 104
7.00 × 104 0.0917 1.10 × 105
8.00 × 104 0.105 1.26 × 105
9.00 × 104 0.118 1.42 × 105
1.00 × 105 0.131 1.58 × 105
1.88 × 105 0.247 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 1.21 × 10-4 52.6
20.0 2.02 × 10-4 87.7
30.0 3.03 × 10-4 132
40.0 4.04 × 10-4 175
50.0 5.05 × 10-4 219
60.0 6.06 × 10-4 263
70.0 7.08 × 10-4 307
80.0 8.09 × 10-4 351
90.0 9.10 × 10-4 395
100 0.00101 438
200 0.00202 877
300 0.00303 1320
400 0.00404 1750
500 0.00505 2190
600 0.00606 2630
700 0.00708 3070
800 0.00809 3510
900 0.00910 3950
1000 0.0101 4380
2000 0.0202 8770
3000 0.0303 1.32 × 104
4000 0.0404 1.75 × 104
5000 0.0505 2.19 × 104
6000 0.0606 2.63 × 104
7000 0.0708 3.07 × 104
8000 0.0809 3.51 × 104
9000 0.0910 3.95 × 104
1.00 × 104 0.101 4.38 × 104
2.00 × 104 0.202 8.77 × 104
3.00 × 104 0.303 1.32 × 105
4.00 × 104 0.404 1.75 × 105
5.00 × 104 0.505 2.19 × 105
6.00 × 104 0.606 2.63 × 105
6.78 × 104 0.685 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 0.00194 210
20.0 0.00323 351
30.0 0.00485 526
40.0 0.00647 701
50.0 0.00809 877
60.0 0.00970 1050
70.0 0.0113 1230
80.0 0.0129 1400
90.0 0.0146 1580
100 0.0162 1750
200 0.0323 3510
300 0.0485 5260
400 0.0647 7010
500 0.0809 8770
600 0.0970 1.05 × 104
700 0.113 1.23 × 104
800 0.129 1.40 × 104
900 0.146 1.58 × 104
1000 0.162 1.75 × 104
2000 0.323 3.51 × 104
3000 0.485 5.26 × 104
4000 0.647 7.01 × 104
5000 0.809 8.77 × 104
6000 0.970 1.05 × 105
7000 1.13 1.23 × 105
8000 1.29 1.40 × 105
9000 1.46 1.58 × 105
1.00 × 104 1.62 1.75 × 105
1.69 × 104 2.74 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 0.00983 473
20.0 0.0164 789
30.0 0.0246 1180
40.0 0.0328 1580
50.0 0.0409 1970
60.0 0.0491 2370
70.0 0.0573 2760
80.0 0.0655 3160
90.0 0.0737 3550
100 0.0819 3950
200 0.164 7890
300 0.246 1.18 × 104
400 0.328 1.58 × 104
500 0.409 1.97 × 104
600 0.491 2.37 × 104
700 0.573 2.76 × 104
800 0.655 3.16 × 104
900 0.737 3.55 × 104
1000 0.819 3.95 × 104
2000 1.64 7.89 × 104
3000 2.46 1.18 × 105
4000 3.28 1.58 × 105
5000 4.09 1.97 × 105
6000 4.91 2.37 × 105
7000 5.73 2.76 × 105
7530 6.16 2.97 × 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 0.0311 842
20.0 0.0518 1400
30.0 0.0776 2100
40.0 0.104 2810
50.0 0.129 3510
60.0 0.155 4210
70.0 0.181 4910
80.0 0.207 5610
90.0 0.233 6310
100 0.259 7010
200 0.518 1.40 × 104
300 0.776 2.10 × 104
400 1.04 2.81 × 104
500 1.29 3.51 × 104
600 1.55 4.21 × 104
700 1.81 4.91 × 104
800 2.07 5.61 × 104
900 2.33 6.31 × 104
1000 2.59 7.01 × 104
2000 5.18 1.40 × 105
2330 6.03 1.63 × 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 0.0758 1320
20.0 0.126 2190
30.0 0.190 3290
40.0 0.253 4380
50.0 0.316 5480
60.0 0.379 6580
70.0 0.442 7670
80.0 0.505 8770
90.0 0.569 9860
100 0.632 1.10 × 104
200 1.26 2.19 × 104
300 1.90 3.29 × 104
400 2.53 4.38 × 104
500 3.16 5.48 × 104
600 3.79 6.58 × 104
700 4.42 7.67 × 104
800 5.05 8.77 × 104
900 5.69 9.86 × 104
954 6.03 1.05 × 105
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 0.157 1890
20.0 0.262 3160
30.0 0.393 4730
40.0 0.524 6310
50.0 0.655 7890
60.0 0.786 9470
70.0 0.917 1.10 × 104
80.0 1.05 1.26 × 104
90.0 1.18 1.42 × 104
100 1.31 1.58 × 104
200 2.62 3.16 × 104
300 3.93 4.73 × 104
400 5.24 6.31 × 104
460 6.03 7.26 × 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 0.497 3370
20.0 0.828 5610
30.0 1.24 8420
40.0 1.66 1.12 × 104
50.0 2.07 1.40 × 104
60.0 2.48 1.68 × 104
70.0 2.90 1.96 × 104
80.0 3.31 2.24 × 104
90.0 3.73 2.52 × 104
100 4.14 2.81 × 104
146 6.03 4.09 × 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 1.21 5260
20.0 2.02 8770
30.0 3.03 1.32 × 104
40.0 4.04 1.75 × 104
50.0 5.05 2.19 × 104
59.7 6.03 2.61 × 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 2.52 7570
20.0 4.19 1.26 × 104
28.8 6.03 1.82 × 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 4.66 1.03 × 104
15.5 6.03 1.33 × 104
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