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Wide Flange Steel I Beam: W12 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 125 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 3.09 × 10-6 10.4
50.0 3.86 × 10-6 13.0
60.0 4.63 × 10-6 15.6
70.0 5.40 × 10-6 18.2
80.0 6.18 × 10-6 20.8
90.0 6.95 × 10-6 23.4
100 7.72 × 10-6 26.0
200 1.54 × 10-5 52.0
300 2.32 × 10-5 78.0
400 3.09 × 10-5 104
500 3.86 × 10-5 130
600 4.63 × 10-5 156
700 5.40 × 10-5 182
800 6.18 × 10-5 208
900 6.95 × 10-5 234
1000 7.72 × 10-5 260
2000 1.54 × 10-4 520
3000 2.32 × 10-4 780
4000 3.09 × 10-4 1040
5000 3.86 × 10-4 1300
6000 4.63 × 10-4 1560
7000 5.40 × 10-4 1820
8000 6.18 × 10-4 2080
9000 6.95 × 10-4 2340
1.00 × 104 7.72 × 10-4 2600
2.00 × 104 0.00154 5200
3.00 × 104 0.00232 7800
4.00 × 104 0.00309 1.04 × 104
5.00 × 104 0.00386 1.30 × 104
6.00 × 104 0.00463 1.56 × 104
7.00 × 104 0.00540 1.82 × 104
8.00 × 104 0.00618 2.08 × 104
9.00 × 104 0.00695 2.34 × 104
1.00 × 105 0.00772 2.60 × 104
2.00 × 105 0.0154 5.20 × 104
3.00 × 105 0.0232 7.80 × 104
4.00 × 105 0.0309 1.04 × 105
5.00 × 105 0.0386 1.30 × 105
6.00 × 105 0.0463 1.56 × 105
7.00 × 105 0.0540 1.82 × 105
8.00 × 105 0.0618 2.08 × 105
9.00 × 105 0.0695 2.34 × 105
1.00 × 106 0.0772 2.60 × 105
1.14 × 106 0.0882 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 2.38 × 10-5 28.9
50.0 2.98 × 10-5 36.1
60.0 3.57 × 10-5 43.3
70.0 4.17 × 10-5 50.6
80.0 4.77 × 10-5 57.8
90.0 5.36 × 10-5 65.0
100 5.96 × 10-5 72.2
200 1.19 × 10-4 144
300 1.79 × 10-4 217
400 2.38 × 10-4 289
500 2.98 × 10-4 361
600 3.57 × 10-4 433
700 4.17 × 10-4 506
800 4.77 × 10-4 578
900 5.36 × 10-4 650
1000 5.96 × 10-4 722
2000 0.00119 1440
3000 0.00179 2170
4000 0.00238 2890
5000 0.00298 3610
6000 0.00357 4330
7000 0.00417 5060
8000 0.00477 5780
9000 0.00536 6500
1.00 × 104 0.00596 7220
2.00 × 104 0.0119 1.44 × 104
3.00 × 104 0.0179 2.17 × 104
4.00 × 104 0.0238 2.89 × 104
5.00 × 104 0.0298 3.61 × 104
6.00 × 104 0.0357 4.33 × 104
7.00 × 104 0.0417 5.06 × 104
8.00 × 104 0.0477 5.78 × 104
9.00 × 104 0.0536 6.50 × 104
1.00 × 105 0.0596 7.22 × 104
2.00 × 105 0.119 1.44 × 105
3.00 × 105 0.179 2.17 × 105
4.00 × 105 0.238 2.89 × 105
4.11 × 105 0.245 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 3.81 × 10-4 116
50.0 4.77 × 10-4 144
60.0 5.72 × 10-4 173
70.0 6.67 × 10-4 202
80.0 7.63 × 10-4 231
90.0 8.58 × 10-4 260
100 9.53 × 10-4 289
200 0.00191 578
300 0.00286 867
400 0.00381 1160
500 0.00477 1440
600 0.00572 1730
700 0.00667 2020
800 0.00763 2310
900 0.00858 2600
1000 0.00953 2890
2000 0.0191 5780
3000 0.0286 8670
4000 0.0381 1.16 × 104
5000 0.0477 1.44 × 104
6000 0.0572 1.73 × 104
7000 0.0667 2.02 × 104
8000 0.0763 2.31 × 104
9000 0.0858 2.60 × 104
1.00 × 104 0.0953 2.89 × 104
2.00 × 104 0.191 5.78 × 104
3.00 × 104 0.286 8.67 × 104
4.00 × 104 0.381 1.16 × 105
5.00 × 104 0.477 1.44 × 105
6.00 × 104 0.572 1.73 × 105
7.00 × 104 0.667 2.02 × 105
8.00 × 104 0.763 2.31 × 105
9.00 × 104 0.858 2.60 × 105
1.00 × 105 0.953 2.89 × 105
1.03 × 105 0.980 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 0.00193 260
50.0 0.00241 325
60.0 0.00290 390
70.0 0.00338 455
80.0 0.00386 520
90.0 0.00434 585
100 0.00483 650
200 0.00965 1300
300 0.0145 1950
400 0.0193 2600
500 0.0241 3250
600 0.0290 3900
700 0.0338 4550
800 0.0386 5200
900 0.0434 5850
1000 0.0483 6500
2000 0.0965 1.30 × 104
3000 0.145 1.95 × 104
4000 0.193 2.60 × 104
5000 0.241 3.25 × 104
6000 0.290 3.90 × 104
7000 0.338 4.55 × 104
8000 0.386 5.20 × 104
9000 0.434 5.85 × 104
1.00 × 104 0.483 6.50 × 104
2.00 × 104 0.965 1.30 × 105
3.00 × 104 1.45 1.95 × 105
4.00 × 104 1.93 2.60 × 105
4.57 × 104 2.21 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 0.00610 462
50.0 0.00763 578
60.0 0.00915 693
70.0 0.0107 809
80.0 0.0122 924
90.0 0.0137 1040
100 0.0153 1160
200 0.0305 2310
300 0.0458 3470
400 0.0610 4620
500 0.0763 5780
600 0.0915 6930
700 0.107 8090
800 0.122 9240
900 0.137 1.04 × 104
1000 0.153 1.16 × 104
2000 0.305 2.31 × 104
3000 0.458 3.47 × 104
4000 0.610 4.62 × 104
5000 0.763 5.78 × 104
6000 0.915 6.93 × 104
7000 1.07 8.09 × 104
8000 1.22 9.24 × 104
9000 1.37 1.04 × 105
1.00 × 104 1.53 1.16 × 105
2.00 × 104 3.05 2.31 × 105
2.57 × 104 3.92 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 0.0149 722
50.0 0.0186 903
60.0 0.0223 1080
70.0 0.0261 1260
80.0 0.0298 1440
90.0 0.0335 1620
100 0.0372 1810
200 0.0745 3610
300 0.112 5420
400 0.149 7220
500 0.186 9030
600 0.223 1.08 × 104
700 0.261 1.26 × 104
800 0.298 1.44 × 104
900 0.335 1.62 × 104
1000 0.372 1.81 × 104
2000 0.745 3.61 × 104
3000 1.12 5.42 × 104
4000 1.49 7.22 × 104
5000 1.86 9.03 × 104
6000 2.23 1.08 × 105
7000 2.61 1.26 × 105
8000 2.98 1.44 × 105
9000 3.35 1.62 × 105
1.00 × 104 3.72 1.81 × 105
1.65 × 104 6.13 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 0.0309 1040
50.0 0.0386 1300
60.0 0.0463 1560
70.0 0.0540 1820
80.0 0.0618 2080
90.0 0.0695 2340
100 0.0772 2600
200 0.154 5200
300 0.232 7800
400 0.309 1.04 × 104
500 0.386 1.30 × 104
600 0.463 1.56 × 104
700 0.540 1.82 × 104
800 0.618 2.08 × 104
900 0.695 2.34 × 104
1000 0.772 2.60 × 104
2000 1.54 5.20 × 104
3000 2.32 7.80 × 104
4000 3.09 1.04 × 105
5000 3.86 1.30 × 105
6000 4.63 1.56 × 105
7000 5.40 1.82 × 105
8000 6.18 2.08 × 105
9000 6.95 2.34 × 105
1.00 × 104 7.72 2.60 × 105
1.14 × 104 8.82 2.97 × 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 0.0976 1850
50.0 0.122 2310
60.0 0.146 2770
70.0 0.171 3240
80.0 0.195 3700
90.0 0.220 4160
100 0.244 4620
200 0.488 9240
300 0.732 1.39 × 104
400 0.976 1.85 × 104
500 1.22 2.31 × 104
600 1.46 2.77 × 104
700 1.71 3.24 × 104
800 1.95 3.70 × 104
900 2.20 4.16 × 104
1000 2.44 4.62 × 104
2000 4.88 9.24 × 104
3000 7.32 1.39 × 105
4000 9.76 1.85 × 105
4890 11.9 2.26 × 105
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 0.238 2890
50.0 0.298 3610
60.0 0.357 4330
70.0 0.417 5060
80.0 0.477 5780
90.0 0.536 6500
100 0.596 7220
200 1.19 1.44 × 104
300 1.79 2.17 × 104
400 2.38 2.89 × 104
500 2.98 3.61 × 104
600 3.57 4.33 × 104
700 4.17 5.06 × 104
800 4.77 5.78 × 104
900 5.36 6.50 × 104
1000 5.96 7.22 × 104
2000 11.9 1.44 × 105
2000 11.9 1.45 × 105
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 0.494 4160
50.0 0.618 5200
60.0 0.741 6240
70.0 0.865 7280
80.0 0.988 8320
90.0 1.11 9360
100 1.24 1.04 × 104
200 2.47 2.08 × 104
300 3.71 3.12 × 104
400 4.94 4.16 × 104
500 6.18 5.20 × 104
600 7.41 6.24 × 104
700 8.65 7.28 × 104
800 9.88 8.32 × 104
900 11.1 9.36 × 104
967 11.9 1.01 × 105
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 0.915 5660
50.0 1.14 7080
60.0 1.37 8490
70.0 1.60 9910
80.0 1.83 1.13 × 104
90.0 2.06 1.27 × 104
100 2.29 1.42 × 104
200 4.58 2.83 × 104
300 6.87 4.25 × 104
400 9.15 5.66 × 104
500 11.4 7.08 × 104
522 11.9 7.38 × 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 1.56 7400
50.0 1.95 9240
60.0 2.34 1.11 × 104
70.0 2.73 1.29 × 104
80.0 3.12 1.48 × 104
90.0 3.51 1.66 × 104
100 3.90 1.85 × 104
200 7.81 3.70 × 104
300 11.7 5.55 × 104
306 11.9 5.65 × 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 2.50 9360
50.0 3.13 1.17 × 104
60.0 3.75 1.40 × 104
70.0 4.38 1.64 × 104
80.0 5.00 1.87 × 104
90.0 5.63 2.11 × 104
100 6.25 2.34 × 104
191 11.9 4.47 × 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 3.81 1.16 × 104
50.0 4.77 1.44 × 104
60.0 5.72 1.73 × 104
70.0 6.67 2.02 × 104
80.0 7.63 2.31 × 104
90.0 8.58 2.60 × 104
100 9.53 2.89 × 104
125 11.9 3.62 × 104
Steel I Beam: W12 × 40 (Wide Flange 12 inch tall × 40 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 9.31 1.81 × 104
50.0 11.6 2.26 × 104
51.3 11.9 2.32 × 104
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