engineering fundamentals
Wide Flange Steel I Beam: W12 × 50
Home | Directory | Career | News | Industrial




Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 50
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 spans, and the maximum normal stress stress_max occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 394 in4) for the W12 × 50 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 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.97 × 10-6 8.35
60.0 4.76 × 10-6 10.0
70.0 5.55 × 10-6 11.7
80.0 6.34 × 10-6 13.4
90.0 7.14 × 10-6 15.0
100 7.93 × 10-6 16.7
200 1.59 × 10-5 33.4
300 2.38 × 10-5 50.1
400 3.17 × 10-5 66.8
500 3.97 × 10-5 83.5
600 4.76 × 10-5 100
700 5.55 × 10-5 117
800 6.34 × 10-5 134
900 7.14 × 10-5 150
1000 7.93 × 10-5 167
2000 1.59 × 10-4 334
3000 2.38 × 10-4 501
4000 3.17 × 10-4 668
5000 3.97 × 10-4 835
6000 4.76 × 10-4 1000
7000 5.55 × 10-4 1170
8000 6.34 × 10-4 1340
9000 7.14 × 10-4 1500
1.00 × 104 7.93 × 10-4 1670
2.00 × 104 0.00159 3340
3.00 × 104 0.00238 5010
4.00 × 104 0.00317 6680
5.00 × 104 0.00397 8350
6.00 × 104 0.00476 1.00 × 104
7.00 × 104 0.00555 1.17 × 104
8.00 × 104 0.00634 1.34 × 104
9.00 × 104 0.00714 1.50 × 104
1.00 × 105 0.00793 1.67 × 104
2.00 × 105 0.0159 3.34 × 104
3.00 × 105 0.0238 5.01 × 104
4.00 × 105 0.0317 6.68 × 104
5.00 × 105 0.0397 8.35 × 104
6.00 × 105 0.0476 1.00 × 105
7.00 × 105 0.0555 1.17 × 105
8.00 × 105 0.0634 1.34 × 105
9.00 × 105 0.0714 1.50 × 105
1.00 × 106 0.0793 1.67 × 105
1.78 × 106 0.141 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.06 × 10-5 23.2
60.0 3.67 × 10-5 27.8
70.0 4.28 × 10-5 32.5
80.0 4.90 × 10-5 37.1
90.0 5.51 × 10-5 41.8
100 6.12 × 10-5 46.4
200 1.22 × 10-4 92.8
300 1.84 × 10-4 139
400 2.45 × 10-4 186
500 3.06 × 10-4 232
600 3.67 × 10-4 278
700 4.28 × 10-4 325
800 4.90 × 10-4 371
900 5.51 × 10-4 418
1000 6.12 × 10-4 464
2000 0.00122 928
3000 0.00184 1390
4000 0.00245 1860
5000 0.00306 2320
6000 0.00367 2780
7000 0.00428 3250
8000 0.00490 3710
9000 0.00551 4180
1.00 × 104 0.00612 4640
2.00 × 104 0.0122 9280
3.00 × 104 0.0184 1.39 × 104
4.00 × 104 0.0245 1.86 × 104
5.00 × 104 0.0306 2.32 × 104
6.00 × 104 0.0367 2.78 × 104
7.00 × 104 0.0428 3.25 × 104
8.00 × 104 0.0490 3.71 × 104
9.00 × 104 0.0551 4.18 × 104
1.00 × 105 0.0612 4.64 × 104
2.00 × 105 0.122 9.28 × 104
3.00 × 105 0.184 1.39 × 105
4.00 × 105 0.245 1.86 × 105
5.00 × 105 0.306 2.32 × 105
6.00 × 105 0.367 2.78 × 105
6.40 × 105 0.392 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.90 × 10-4 92.8
60.0 5.87 × 10-4 111
70.0 6.85 × 10-4 130
80.0 7.83 × 10-4 149
90.0 8.81 × 10-4 167
100 9.79 × 10-4 186
200 0.00196 371
300 0.00294 557
400 0.00392 743
500 0.00490 928
600 0.00587 1110
700 0.00685 1300
800 0.00783 1490
900 0.00881 1670
1000 0.00979 1860
2000 0.0196 3710
3000 0.0294 5570
4000 0.0392 7430
5000 0.0490 9280
6000 0.0587 1.11 × 104
7000 0.0685 1.30 × 104
8000 0.0783 1.49 × 104
9000 0.0881 1.67 × 104
1.00 × 104 0.0979 1.86 × 104
2.00 × 104 0.196 3.71 × 104
3.00 × 104 0.294 5.57 × 104
4.00 × 104 0.392 7.43 × 104
5.00 × 104 0.490 9.28 × 104
6.00 × 104 0.587 1.11 × 105
7.00 × 104 0.685 1.30 × 105
8.00 × 104 0.783 1.49 × 105
9.00 × 104 0.881 1.67 × 105
1.00 × 105 0.979 1.86 × 105
1.60 × 105 1.57 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00248 209
60.0 0.00297 251
70.0 0.00347 292
80.0 0.00397 334
90.0 0.00446 376
100 0.00496 418
200 0.00991 835
300 0.0149 1250
400 0.0198 1670
500 0.0248 2090
600 0.0297 2510
700 0.0347 2920
800 0.0397 3340
900 0.0446 3760
1000 0.0496 4180
2000 0.0991 8350
3000 0.149 1.25 × 104
4000 0.198 1.67 × 104
5000 0.248 2.09 × 104
6000 0.297 2.51 × 104
7000 0.347 2.92 × 104
8000 0.397 3.34 × 104
9000 0.446 3.76 × 104
1.00 × 104 0.496 4.18 × 104
2.00 × 104 0.991 8.35 × 104
3.00 × 104 1.49 1.25 × 105
4.00 × 104 1.98 1.67 × 105
5.00 × 104 2.48 2.09 × 105
6.00 × 104 2.97 2.51 × 105
7.00 × 104 3.47 2.92 × 105
7.11 × 104 3.53 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00783 371
60.0 0.00940 446
70.0 0.0110 520
80.0 0.0125 594
90.0 0.0141 668
100 0.0157 743
200 0.0313 1490
300 0.0470 2230
400 0.0627 2970
500 0.0783 3710
600 0.0940 4460
700 0.110 5200
800 0.125 5940
900 0.141 6680
1000 0.157 7430
2000 0.313 1.49 × 104
3000 0.470 2.23 × 104
4000 0.627 2.97 × 104
5000 0.783 3.71 × 104
6000 0.940 4.46 × 104
7000 1.10 5.20 × 104
8000 1.25 5.94 × 104
9000 1.41 6.68 × 104
1.00 × 104 1.57 7.43 × 104
2.00 × 104 3.13 1.49 × 105
3.00 × 104 4.70 2.23 × 105
4.00 × 104 6.27 2.97 × 105
4.00 × 104 6.27 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0191 580
60.0 0.0229 696
70.0 0.0268 812
80.0 0.0306 928
90.0 0.0344 1040
100 0.0382 1160
200 0.0765 2320
300 0.115 3480
400 0.153 4640
500 0.191 5800
600 0.229 6960
700 0.268 8120
800 0.306 9280
900 0.344 1.04 × 104
1000 0.382 1.16 × 104
2000 0.765 2.32 × 104
3000 1.15 3.48 × 104
4000 1.53 4.64 × 104
5000 1.91 5.80 × 104
6000 2.29 6.96 × 104
7000 2.68 8.12 × 104
8000 3.06 9.28 × 104
9000 3.44 1.04 × 105
1.00 × 104 3.82 1.16 × 105
2.00 × 104 7.65 2.32 × 105
2.56 × 104 9.79 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0397 835
60.0 0.0476 1000
70.0 0.0555 1170
80.0 0.0634 1340
90.0 0.0714 1500
100 0.0793 1670
200 0.159 3340
300 0.238 5010
400 0.317 6680
500 0.397 8350
600 0.476 1.00 × 104
700 0.555 1.17 × 104
800 0.634 1.34 × 104
900 0.714 1.50 × 104
1000 0.793 1.67 × 104
2000 1.59 3.34 × 104
3000 2.38 5.01 × 104
4000 3.17 6.68 × 104
5000 3.97 8.35 × 104
6000 4.76 1.00 × 105
7000 5.55 1.17 × 105
8000 6.34 1.34 × 105
9000 7.14 1.50 × 105
1.00 × 104 7.93 1.67 × 105
1.78 × 104 14.1 2.97 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.125 1490
60.0 0.150 1780
70.0 0.175 2080
80.0 0.201 2380
90.0 0.226 2670
100 0.251 2970
200 0.501 5940
300 0.752 8910
400 1.00 1.19 × 104
500 1.25 1.49 × 104
600 1.50 1.78 × 104
700 1.75 2.08 × 104
800 2.01 2.38 × 104
900 2.26 2.67 × 104
1000 2.51 2.97 × 104
2000 5.01 5.94 × 104
3000 7.52 8.91 × 104
4000 10.0 1.19 × 105
4860 12.2 1.44 × 105
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.306 2320
60.0 0.367 2780
70.0 0.428 3250
80.0 0.490 3710
90.0 0.551 4180
100 0.612 4640
200 1.22 9280
300 1.84 1.39 × 104
400 2.45 1.86 × 104
500 3.06 2.32 × 104
600 3.67 2.78 × 104
700 4.28 3.25 × 104
800 4.90 3.71 × 104
900 5.51 4.18 × 104
1000 6.12 4.64 × 104
1990 12.2 9.24 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.634 3340
60.0 0.761 4010
70.0 0.888 4680
80.0 1.02 5350
90.0 1.14 6010
100 1.27 6680
200 2.54 1.34 × 104
300 3.81 2.00 × 104
400 5.08 2.67 × 104
500 6.34 3.34 × 104
600 7.61 4.01 × 104
700 8.88 4.68 × 104
800 10.2 5.35 × 104
900 11.4 6.01 × 104
961 12.2 6.42 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.18 4550
60.0 1.41 5460
70.0 1.65 6370
80.0 1.88 7280
90.0 2.12 8190
100 2.35 9100
200 4.70 1.82 × 104
300 7.05 2.73 × 104
400 9.40 3.64 × 104
500 11.8 4.55 × 104
519 12.2 4.72 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.01 5940
60.0 2.41 7130
70.0 2.81 8320
80.0 3.21 9500
90.0 3.61 1.07 × 104
100 4.01 1.19 × 104
200 8.02 2.38 × 104
300 12.0 3.56 × 104
304 12.2 3.61 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 3.21 7520
60.0 3.85 9020
70.0 4.50 1.05 × 104
80.0 5.14 1.20 × 104
90.0 5.78 1.35 × 104
100 6.42 1.50 × 104
190 12.2 2.85 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 4.90 9280
60.0 5.87 1.11 × 104
70.0 6.85 1.30 × 104
80.0 7.83 1.49 × 104
90.0 8.81 1.67 × 104
100 9.79 1.86 × 104
124 12.2 2.31 × 104
Steel I Beam: W12 × 50 (Wide Flange 12 inch tall × 50 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 12.0 1.45 × 104
51.0 12.2 1.48 × 104
Additional Information
Home  About Us  Privacy  Disclaimer  Contact 

Copyright © 2018 eFunda, Inc.