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Wide Flange Steel I Beam: W12 × 65
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 65
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 = 533 in4) for the W12 × 65 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
L = 100 ft
L = 125 ft
   
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 3.53 × 10-6 8.55
70.0 3.80 × 10-6 9.21
80.0 4.35 × 10-6 10.5
90.0 4.89 × 10-6 11.8
100 5.43 × 10-6 13.2
200 1.09 × 10-5 26.3
300 1.63 × 10-5 39.5
400 2.17 × 10-5 52.6
500 2.72 × 10-5 65.8
600 3.26 × 10-5 78.9
700 3.80 × 10-5 92.1
800 4.35 × 10-5 105
900 4.89 × 10-5 118
1000 5.43 × 10-5 132
2000 1.09 × 10-4 263
3000 1.63 × 10-4 395
4000 2.17 × 10-4 526
5000 2.72 × 10-4 658
6000 3.26 × 10-4 789
7000 3.80 × 10-4 921
8000 4.35 × 10-4 1050
9000 4.89 × 10-4 1180
1.00 × 104 5.43 × 10-4 1320
2.00 × 104 0.00109 2630
3.00 × 104 0.00163 3950
4.00 × 104 0.00217 5260
5.00 × 104 0.00272 6580
6.00 × 104 0.00326 7890
7.00 × 104 0.00380 9210
8.00 × 104 0.00435 1.05 × 104
9.00 × 104 0.00489 1.18 × 104
1.00 × 105 0.00543 1.32 × 104
2.00 × 105 0.0109 2.63 × 104
3.00 × 105 0.0163 3.95 × 104
4.00 × 105 0.0217 5.26 × 104
5.00 × 105 0.0272 6.58 × 104
6.00 × 105 0.0326 7.89 × 104
7.00 × 105 0.0380 9.21 × 104
8.00 × 105 0.0435 1.05 × 105
9.00 × 105 0.0489 1.18 × 105
1.00 × 106 0.0543 1.32 × 105
2.00 × 106 0.109 2.63 × 105
2.26 × 106 0.123 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 2.72 × 10-5 23.7
70.0 2.93 × 10-5 25.6
80.0 3.35 × 10-5 29.2
90.0 3.77 × 10-5 32.9
100 4.19 × 10-5 36.5
200 8.38 × 10-5 73.1
300 1.26 × 10-4 110
400 1.68 × 10-4 146
500 2.10 × 10-4 183
600 2.51 × 10-4 219
700 2.93 × 10-4 256
800 3.35 × 10-4 292
900 3.77 × 10-4 329
1000 4.19 × 10-4 365
2000 8.38 × 10-4 731
3000 0.00126 1100
4000 0.00168 1460
5000 0.00210 1830
6000 0.00251 2190
7000 0.00293 2560
8000 0.00335 2920
9000 0.00377 3290
1.00 × 104 0.00419 3650
2.00 × 104 0.00838 7310
3.00 × 104 0.0126 1.10 × 104
4.00 × 104 0.0168 1.46 × 104
5.00 × 104 0.0210 1.83 × 104
6.00 × 104 0.0251 2.19 × 104
7.00 × 104 0.0293 2.56 × 104
8.00 × 104 0.0335 2.92 × 104
9.00 × 104 0.0377 3.29 × 104
1.00 × 105 0.0419 3.65 × 104
2.00 × 105 0.0838 7.31 × 104
3.00 × 105 0.126 1.10 × 105
4.00 × 105 0.168 1.46 × 105
5.00 × 105 0.210 1.83 × 105
6.00 × 105 0.251 2.19 × 105
7.00 × 105 0.293 2.56 × 105
8.00 × 105 0.335 2.92 × 105
8.13 × 105 0.341 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 4.36 × 10-4 95.0
70.0 4.69 × 10-4 102
80.0 5.36 × 10-4 117
90.0 6.04 × 10-4 132
100 6.71 × 10-4 146
200 0.00134 292
300 0.00201 438
400 0.00268 584
500 0.00335 731
600 0.00402 877
700 0.00469 1020
800 0.00536 1170
900 0.00604 1320
1000 0.00671 1460
2000 0.0134 2920
3000 0.0201 4380
4000 0.0268 5840
5000 0.0335 7310
6000 0.0402 8770
7000 0.0469 1.02 × 104
8000 0.0536 1.17 × 104
9000 0.0604 1.32 × 104
1.00 × 104 0.0671 1.46 × 104
2.00 × 104 0.134 2.92 × 104
3.00 × 104 0.201 4.38 × 104
4.00 × 104 0.268 5.84 × 104
5.00 × 104 0.335 7.31 × 104
6.00 × 104 0.402 8.77 × 104
7.00 × 104 0.469 1.02 × 105
8.00 × 104 0.536 1.17 × 105
9.00 × 104 0.604 1.32 × 105
1.00 × 105 0.671 1.46 × 105
2.00 × 105 1.34 2.92 × 105
2.03 × 105 1.36 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00221 214
70.0 0.00238 230
80.0 0.00272 263
90.0 0.00306 296
100 0.00339 329
200 0.00679 658
300 0.0102 986
400 0.0136 1320
500 0.0170 1640
600 0.0204 1970
700 0.0238 2300
800 0.0272 2630
900 0.0306 2960
1000 0.0339 3290
2000 0.0679 6580
3000 0.102 9860
4000 0.136 1.32 × 104
5000 0.170 1.64 × 104
6000 0.204 1.97 × 104
7000 0.238 2.30 × 104
8000 0.272 2.63 × 104
9000 0.306 2.96 × 104
1.00 × 104 0.339 3.29 × 104
2.00 × 104 0.679 6.58 × 104
3.00 × 104 1.02 9.86 × 104
4.00 × 104 1.36 1.32 × 105
5.00 × 104 1.70 1.64 × 105
6.00 × 104 2.04 1.97 × 105
7.00 × 104 2.38 2.30 × 105
8.00 × 104 2.72 2.63 × 105
9.00 × 104 3.06 2.96 × 105
9.03 × 104 3.07 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00697 380
70.0 0.00751 409
80.0 0.00858 468
90.0 0.00966 526
100 0.0107 584
200 0.0215 1170
300 0.0322 1750
400 0.0429 2340
500 0.0536 2920
600 0.0644 3510
700 0.0751 4090
800 0.0858 4680
900 0.0966 5260
1000 0.107 5840
2000 0.215 1.17 × 104
3000 0.322 1.75 × 104
4000 0.429 2.34 × 104
5000 0.536 2.92 × 104
6000 0.644 3.51 × 104
7000 0.751 4.09 × 104
8000 0.858 4.68 × 104
9000 0.966 5.26 × 104
1.00 × 104 1.07 5.84 × 104
2.00 × 104 2.15 1.17 × 105
3.00 × 104 3.22 1.75 × 105
4.00 × 104 4.29 2.34 × 105
5.00 × 104 5.36 2.92 × 105
5.08 × 104 5.45 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0170 594
70.0 0.0183 639
80.0 0.0210 731
90.0 0.0236 822
100 0.0262 913
200 0.0524 1830
300 0.0786 2740
400 0.105 3650
500 0.131 4570
600 0.157 5480
700 0.183 6390
800 0.210 7310
900 0.236 8220
1000 0.262 9130
2000 0.524 1.83 × 104
3000 0.786 2.74 × 104
4000 1.05 3.65 × 104
5000 1.31 4.57 × 104
6000 1.57 5.48 × 104
7000 1.83 6.39 × 104
8000 2.10 7.31 × 104
9000 2.36 8.22 × 104
1.00 × 104 2.62 9.13 × 104
2.00 × 104 5.24 1.83 × 105
3.00 × 104 7.86 2.74 × 105
3.25 × 104 8.52 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0353 855
70.0 0.0380 921
80.0 0.0435 1050
90.0 0.0489 1180
100 0.0543 1320
200 0.109 2630
300 0.163 3950
400 0.217 5260
500 0.272 6580
600 0.326 7890
700 0.380 9210
800 0.435 1.05 × 104
900 0.489 1.18 × 104
1000 0.543 1.32 × 104
2000 1.09 2.63 × 104
3000 1.63 3.95 × 104
4000 2.17 5.26 × 104
5000 2.72 6.58 × 104
6000 3.26 7.89 × 104
7000 3.80 9.21 × 104
8000 4.35 1.05 × 105
9000 4.89 1.18 × 105
1.00 × 104 5.43 1.32 × 105
2.00 × 104 10.9 2.63 × 105
2.26 × 104 12.3 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.112 1520
70.0 0.120 1640
80.0 0.137 1870
90.0 0.155 2100
100 0.172 2340
200 0.343 4680
300 0.515 7010
400 0.687 9350
500 0.858 1.17 × 104
600 1.03 1.40 × 104
700 1.20 1.64 × 104
800 1.37 1.87 × 104
900 1.55 2.10 × 104
1000 1.72 2.34 × 104
2000 3.43 4.68 × 104
3000 5.15 7.01 × 104
4000 6.87 9.35 × 104
5000 8.58 1.17 × 105
6000 10.3 1.40 × 105
7000 12.0 1.64 × 105
7060 12.1 1.65 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.272 2370
70.0 0.293 2560
80.0 0.335 2920
90.0 0.377 3290
100 0.419 3650
200 0.838 7310
300 1.26 1.10 × 104
400 1.68 1.46 × 104
500 2.10 1.83 × 104
600 2.51 2.19 × 104
700 2.93 2.56 × 104
800 3.35 2.92 × 104
900 3.77 3.29 × 104
1000 4.19 3.65 × 104
2000 8.38 7.31 × 104
2890 12.1 1.06 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.565 3420
70.0 0.608 3680
80.0 0.695 4210
90.0 0.782 4730
100 0.869 5260
200 1.74 1.05 × 104
300 2.61 1.58 × 104
400 3.48 2.10 × 104
500 4.35 2.63 × 104
600 5.21 3.16 × 104
700 6.08 3.68 × 104
800 6.95 4.21 × 104
900 7.82 4.73 × 104
1000 8.69 5.26 × 104
1390 12.1 7.34 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.05 4650
70.0 1.13 5010
80.0 1.29 5730
90.0 1.45 6440
100 1.61 7160
200 3.22 1.43 × 104
300 4.83 2.15 × 104
400 6.44 2.86 × 104
500 8.05 3.58 × 104
600 9.66 4.30 × 104
700 11.3 5.01 × 104
753 12.1 5.39 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.79 6080
70.0 1.92 6550
80.0 2.20 7480
90.0 2.47 8420
100 2.75 9350
200 5.49 1.87 × 104
300 8.24 2.81 × 104
400 11.0 3.74 × 104
441 12.1 4.13 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 2.86 7690
70.0 3.08 8290
80.0 3.52 9470
90.0 3.96 1.07 × 104
100 4.40 1.18 × 104
200 8.80 2.37 × 104
275 12.1 3.26 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 4.36 9500
70.0 4.69 1.02 × 104
80.0 5.36 1.17 × 104
90.0 6.04 1.32 × 104
100 6.71 1.46 × 104
181 12.1 2.64 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 10.6 1.48 × 104
70.0 11.5 1.60 × 104
74.0 12.1 1.69 × 104
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