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Wide Flange Steel I Beam: W12 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W12 × 40
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 310 in4) for the W12 × 40 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
  
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 7.72 × 10-6 10.4
50.0 9.65 × 10-6 13.0
60.0 1.16 × 10-5 15.6
70.0 1.35 × 10-5 18.2
80.0 1.54 × 10-5 20.8
90.0 1.74 × 10-5 23.4
100 1.93 × 10-5 26.0
200 3.86 × 10-5 52.0
300 5.79 × 10-5 78.0
400 7.72 × 10-5 104
500 9.65 × 10-5 130
600 1.16 × 10-4 156
700 1.35 × 10-4 182
800 1.54 × 10-4 208
900 1.74 × 10-4 234
1000 1.93 × 10-4 260
2000 3.86 × 10-4 520
3000 5.79 × 10-4 780
4000 7.72 × 10-4 1040
5000 9.65 × 10-4 1300
6000 0.00116 1560
7000 0.00135 1820
8000 0.00154 2080
9000 0.00174 2340
1.00 × 104 0.00193 2600
2.00 × 104 0.00386 5200
3.00 × 104 0.00579 7800
4.00 × 104 0.00772 1.04 × 104
5.00 × 104 0.00965 1.30 × 104
6.00 × 104 0.0116 1.56 × 104
7.00 × 104 0.0135 1.82 × 104
8.00 × 104 0.0154 2.08 × 104
9.00 × 104 0.0174 2.34 × 104
1.00 × 105 0.0193 2.60 × 104
2.00 × 105 0.0386 5.20 × 104
3.00 × 105 0.0579 7.80 × 104
4.00 × 105 0.0772 1.04 × 105
5.00 × 105 0.0965 1.30 × 105
6.00 × 105 0.116 1.56 × 105
7.00 × 105 0.135 1.82 × 105
8.00 × 105 0.154 2.08 × 105
9.00 × 105 0.174 2.34 × 105
1.00 × 106 0.193 2.60 × 105
1.14 × 106 0.221 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 5.96 × 10-5 28.9
50.0 7.45 × 10-5 36.1
60.0 8.94 × 10-5 43.3
70.0 1.04 × 10-4 50.6
80.0 1.19 × 10-4 57.8
90.0 1.34 × 10-4 65.0
100 1.49 × 10-4 72.2
200 2.98 × 10-4 144
300 4.47 × 10-4 217
400 5.96 × 10-4 289
500 7.45 × 10-4 361
600 8.94 × 10-4 433
700 0.00104 506
800 0.00119 578
900 0.00134 650
1000 0.00149 722
2000 0.00298 1440
3000 0.00447 2170
4000 0.00596 2890
5000 0.00745 3610
6000 0.00894 4330
7000 0.0104 5060
8000 0.0119 5780
9000 0.0134 6500
1.00 × 104 0.0149 7220
2.00 × 104 0.0298 1.44 × 104
3.00 × 104 0.0447 2.17 × 104
4.00 × 104 0.0596 2.89 × 104
5.00 × 104 0.0745 3.61 × 104
6.00 × 104 0.0894 4.33 × 104
7.00 × 104 0.104 5.06 × 104
8.00 × 104 0.119 5.78 × 104
9.00 × 104 0.134 6.50 × 104
1.00 × 105 0.149 7.22 × 104
2.00 × 105 0.298 1.44 × 105
3.00 × 105 0.447 2.17 × 105
4.00 × 105 0.596 2.89 × 105
4.11 × 105 0.613 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 9.53 × 10-4 116
50.0 0.00119 144
60.0 0.00143 173
70.0 0.00167 202
80.0 0.00191 231
90.0 0.00214 260
100 0.00238 289
200 0.00477 578
300 0.00715 867
400 0.00953 1160
500 0.0119 1440
600 0.0143 1730
700 0.0167 2020
800 0.0191 2310
900 0.0214 2600
1000 0.0238 2890
2000 0.0477 5780
3000 0.0715 8670
4000 0.0953 1.16 × 104
5000 0.119 1.44 × 104
6000 0.143 1.73 × 104
7000 0.167 2.02 × 104
8000 0.191 2.31 × 104
9000 0.214 2.60 × 104
1.00 × 104 0.238 2.89 × 104
2.00 × 104 0.477 5.78 × 104
3.00 × 104 0.715 8.67 × 104
4.00 × 104 0.953 1.16 × 105
5.00 × 104 1.19 1.44 × 105
6.00 × 104 1.43 1.73 × 105
7.00 × 104 1.67 2.02 × 105
8.00 × 104 1.91 2.31 × 105
9.00 × 104 2.14 2.60 × 105
1.00 × 105 2.38 2.89 × 105
1.03 × 105 2.45 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.00483 260
50.0 0.00603 325
60.0 0.00724 390
70.0 0.00844 455
80.0 0.00965 520
90.0 0.0109 585
100 0.0121 650
200 0.0241 1300
300 0.0362 1950
400 0.0483 2600
500 0.0603 3250
600 0.0724 3900
700 0.0844 4550
800 0.0965 5200
900 0.109 5850
1000 0.121 6500
2000 0.241 1.30 × 104
3000 0.362 1.95 × 104
4000 0.483 2.60 × 104
5000 0.603 3.25 × 104
6000 0.724 3.90 × 104
7000 0.844 4.55 × 104
8000 0.965 5.20 × 104
9000 1.09 5.85 × 104
1.00 × 104 1.21 6.50 × 104
2.00 × 104 2.41 1.30 × 105
3.00 × 104 3.62 1.95 × 105
4.00 × 104 4.83 2.60 × 105
4.57 × 104 5.51 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0153 462
50.0 0.0191 578
60.0 0.0229 693
70.0 0.0267 809
80.0 0.0305 924
90.0 0.0343 1040
100 0.0381 1160
200 0.0763 2310
300 0.114 3470
400 0.153 4620
500 0.191 5780
600 0.229 6930
700 0.267 8090
800 0.305 9240
900 0.343 1.04 × 104
1000 0.381 1.16 × 104
2000 0.763 2.31 × 104
3000 1.14 3.47 × 104
4000 1.53 4.62 × 104
5000 1.91 5.78 × 104
6000 2.29 6.93 × 104
7000 2.67 8.09 × 104
8000 3.05 9.24 × 104
9000 3.43 1.04 × 105
1.00 × 104 3.81 1.16 × 105
2.00 × 104 7.63 2.31 × 105
2.57 × 104 9.80 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0372 722
50.0 0.0465 903
60.0 0.0559 1080
70.0 0.0652 1260
80.0 0.0745 1440
90.0 0.0838 1620
100 0.0931 1810
200 0.186 3610
300 0.279 5420
400 0.372 7220
500 0.465 9030
600 0.559 1.08 × 104
700 0.652 1.26 × 104
800 0.745 1.44 × 104
900 0.838 1.62 × 104
1000 0.931 1.81 × 104
2000 1.86 3.61 × 104
3000 2.79 5.42 × 104
4000 3.72 7.22 × 104
5000 4.65 9.03 × 104
6000 5.59 1.08 × 105
7000 6.52 1.26 × 105
8000 7.45 1.44 × 105
9000 8.38 1.62 × 105
1.00 × 104 9.31 1.81 × 105
1.65 × 104 15.3 2.97 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0772 1040
50.0 0.0965 1300
60.0 0.116 1560
70.0 0.135 1820
80.0 0.154 2080
90.0 0.174 2340
100 0.193 2600
200 0.386 5200
300 0.579 7800
400 0.772 1.04 × 104
500 0.965 1.30 × 104
600 1.16 1.56 × 104
700 1.35 1.82 × 104
800 1.54 2.08 × 104
900 1.74 2.34 × 104
1000 1.93 2.60 × 104
2000 3.86 5.20 × 104
3000 5.79 7.80 × 104
4000 7.72 1.04 × 105
5000 9.65 1.30 × 105
6000 11.6 1.56 × 105
6190 11.9 1.61 × 105
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.244 1850
50.0 0.305 2310
60.0 0.366 2770
70.0 0.427 3240
80.0 0.488 3700
90.0 0.549 4160
100 0.610 4620
200 1.22 9240
300 1.83 1.39 × 104
400 2.44 1.85 × 104
500 3.05 2.31 × 104
600 3.66 2.77 × 104
700 4.27 3.24 × 104
800 4.88 3.70 × 104
900 5.49 4.16 × 104
1000 6.10 4.62 × 104
1960 11.9 9.05 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.596 2890
50.0 0.745 3610
60.0 0.894 4330
70.0 1.04 5060
80.0 1.19 5780
90.0 1.34 6500
100 1.49 7220
200 2.98 1.44 × 104
300 4.47 2.17 × 104
400 5.96 2.89 × 104
500 7.45 3.61 × 104
600 8.94 4.33 × 104
700 10.4 5.06 × 104
800 11.9 5.78 × 104
802 11.9 5.79 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 1.24 4160
50.0 1.54 5200
60.0 1.85 6240
70.0 2.16 7280
80.0 2.47 8320
90.0 2.78 9360
100 3.09 1.04 × 104
200 6.18 2.08 × 104
300 9.27 3.12 × 104
387 11.9 4.02 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 2.29 5660
50.0 2.86 7080
60.0 3.43 8490
70.0 4.01 9910
80.0 4.58 1.13 × 104
90.0 5.15 1.27 × 104
100 5.72 1.42 × 104
200 11.4 2.83 × 104
209 11.9 2.95 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 3.90 7400
50.0 4.88 9240
60.0 5.86 1.11 × 104
70.0 6.83 1.29 × 104
80.0 7.81 1.48 × 104
90.0 8.78 1.66 × 104
100 9.76 1.85 × 104
122 11.9 2.26 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 6.25 9360
50.0 7.82 1.17 × 104
60.0 9.38 1.40 × 104
70.0 10.9 1.64 × 104
76.4 11.9 1.79 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 9.53 1.16 × 104
50.0 11.9 1.44 × 104
50.1 11.9 1.45 × 104
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