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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 12
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 = 53.8 in4) for the W10 × 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
L = 80 ft
L = 90 ft
L = 100 ft
   
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 6.97 × 10-6 11.9
20.0 1.16 × 10-5 19.8
30.0 1.74 × 10-5 29.7
40.0 2.32 × 10-5 39.6
50.0 2.90 × 10-5 49.5
60.0 3.49 × 10-5 59.4
70.0 4.07 × 10-5 69.3
80.0 4.65 × 10-5 79.3
90.0 5.23 × 10-5 89.2
100 5.81 × 10-5 99.1
200 1.16 × 10-4 198
300 1.74 × 10-4 297
400 2.32 × 10-4 396
500 2.90 × 10-4 495
600 3.49 × 10-4 594
700 4.07 × 10-4 693
800 4.65 × 10-4 793
900 5.23 × 10-4 892
1000 5.81 × 10-4 991
2000 0.00116 1980
3000 0.00174 2970
4000 0.00232 3960
5000 0.00290 4950
6000 0.00349 5940
7000 0.00407 6930
8000 0.00465 7930
9000 0.00523 8920
1.00 × 104 0.00581 9910
2.00 × 104 0.0116 1.98 × 104
3.00 × 104 0.0174 2.97 × 104
4.00 × 104 0.0232 3.96 × 104
5.00 × 104 0.0290 4.95 × 104
6.00 × 104 0.0349 5.94 × 104
7.00 × 104 0.0407 6.93 × 104
8.00 × 104 0.0465 7.93 × 104
9.00 × 104 0.0523 8.92 × 104
1.00 × 105 0.0581 9.91 × 104
2.00 × 105 0.116 1.98 × 105
3.00 × 105 0.174 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 5.38 × 10-5 33.0
20.0 8.96 × 10-5 55.0
30.0 1.34 × 10-4 82.6
40.0 1.79 × 10-4 110
50.0 2.24 × 10-4 138
60.0 2.69 × 10-4 165
70.0 3.14 × 10-4 193
80.0 3.59 × 10-4 220
90.0 4.03 × 10-4 248
100 4.48 × 10-4 275
200 8.96 × 10-4 550
300 0.00134 826
400 0.00179 1100
500 0.00224 1380
600 0.00269 1650
700 0.00314 1930
800 0.00359 2200
900 0.00403 2480
1000 0.00448 2750
2000 0.00896 5500
3000 0.0134 8260
4000 0.0179 1.10 × 104
5000 0.0224 1.38 × 104
6000 0.0269 1.65 × 104
7000 0.0314 1.93 × 104
8000 0.0359 2.20 × 104
9000 0.0403 2.48 × 104
1.00 × 104 0.0448 2.75 × 104
2.00 × 104 0.0896 5.50 × 104
3.00 × 104 0.134 8.26 × 104
4.00 × 104 0.179 1.10 × 105
5.00 × 104 0.224 1.38 × 105
6.00 × 104 0.269 1.65 × 105
7.00 × 104 0.314 1.93 × 105
8.00 × 104 0.359 2.20 × 105
9.00 × 104 0.403 2.48 × 105
1.00 × 105 0.448 2.75 × 105
1.08 × 105 0.484 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 8.60 × 10-4 132
20.0 0.00143 220
30.0 0.00215 330
40.0 0.00287 440
50.0 0.00359 550
60.0 0.00430 660
70.0 0.00502 771
80.0 0.00574 881
90.0 0.00645 991
100 0.00717 1100
200 0.0143 2200
300 0.0215 3300
400 0.0287 4400
500 0.0359 5500
600 0.0430 6600
700 0.0502 7710
800 0.0574 8810
900 0.0645 9910
1000 0.0717 1.10 × 104
2000 0.143 2.20 × 104
3000 0.215 3.30 × 104
4000 0.287 4.40 × 104
5000 0.359 5.50 × 104
6000 0.430 6.60 × 104
7000 0.502 7.71 × 104
8000 0.574 8.81 × 104
9000 0.645 9.91 × 104
1.00 × 104 0.717 1.10 × 105
2.00 × 104 1.43 2.20 × 105
2.70 × 104 1.94 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.00436 297
20.0 0.00726 495
30.0 0.0109 743
40.0 0.0145 991
50.0 0.0182 1240
60.0 0.0218 1490
70.0 0.0254 1730
80.0 0.0290 1980
90.0 0.0327 2230
100 0.0363 2480
200 0.0726 4950
300 0.109 7430
400 0.145 9910
500 0.182 1.24 × 104
600 0.218 1.49 × 104
700 0.254 1.73 × 104
800 0.290 1.98 × 104
900 0.327 2.23 × 104
1000 0.363 2.48 × 104
2000 0.726 4.95 × 104
3000 1.09 7.43 × 104
4000 1.45 9.91 × 104
5000 1.82 1.24 × 105
6000 2.18 1.49 × 105
7000 2.54 1.73 × 105
8000 2.90 1.98 × 105
9000 3.27 2.23 × 105
1.00 × 104 3.63 2.48 × 105
1.20 × 104 4.35 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0138 528
20.0 0.0229 881
30.0 0.0344 1320
40.0 0.0459 1760
50.0 0.0574 2200
60.0 0.0688 2640
70.0 0.0803 3080
80.0 0.0918 3520
90.0 0.103 3960
100 0.115 4400
200 0.229 8810
300 0.344 1.32 × 104
400 0.459 1.76 × 104
500 0.574 2.20 × 104
600 0.688 2.64 × 104
700 0.803 3.08 × 104
800 0.918 3.52 × 104
900 1.03 3.96 × 104
1000 1.15 4.40 × 104
2000 2.29 8.81 × 104
3000 3.44 1.32 × 105
4000 4.59 1.76 × 105
5000 5.74 2.20 × 105
6000 6.88 2.64 × 105
6750 7.74 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0336 826
20.0 0.0560 1380
30.0 0.0840 2060
40.0 0.112 2750
50.0 0.140 3440
60.0 0.168 4130
70.0 0.196 4820
80.0 0.224 5500
90.0 0.252 6190
100 0.280 6880
200 0.560 1.38 × 104
300 0.840 2.06 × 104
400 1.12 2.75 × 104
500 1.40 3.44 × 104
600 1.68 4.13 × 104
700 1.96 4.82 × 104
800 2.24 5.50 × 104
900 2.52 6.19 × 104
1000 2.80 6.88 × 104
2000 5.60 1.38 × 105
3000 8.40 2.06 × 105
3520 9.87 2.42 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0697 1190
20.0 0.116 1980
30.0 0.174 2970
40.0 0.232 3960
50.0 0.290 4950
60.0 0.349 5940
70.0 0.407 6930
80.0 0.465 7930
90.0 0.523 8920
100 0.581 9910
200 1.16 1.98 × 104
300 1.74 2.97 × 104
400 2.32 3.96 × 104
500 2.90 4.95 × 104
600 3.49 5.94 × 104
700 4.07 6.93 × 104
800 4.65 7.93 × 104
900 5.23 8.92 × 104
1000 5.81 9.91 × 104
1700 9.87 1.68 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.220 2110
20.0 0.367 3520
30.0 0.551 5280
40.0 0.734 7040
50.0 0.918 8810
60.0 1.10 1.06 × 104
70.0 1.29 1.23 × 104
80.0 1.47 1.41 × 104
90.0 1.65 1.59 × 104
100 1.84 1.76 × 104
200 3.67 3.52 × 104
300 5.51 5.28 × 104
400 7.34 7.04 × 104
500 9.18 8.81 × 104
538 9.87 9.47 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.538 3300
20.0 0.896 5500
30.0 1.34 8260
40.0 1.79 1.10 × 104
50.0 2.24 1.38 × 104
60.0 2.69 1.65 × 104
70.0 3.14 1.93 × 104
80.0 3.59 2.20 × 104
90.0 4.03 2.48 × 104
100 4.48 2.75 × 104
200 8.96 5.50 × 104
220 9.87 6.06 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.12 4760
20.0 1.86 7930
30.0 2.79 1.19 × 104
40.0 3.72 1.59 × 104
50.0 4.65 1.98 × 104
60.0 5.58 2.38 × 104
70.0 6.51 2.77 × 104
80.0 7.43 3.17 × 104
90.0 8.36 3.57 × 104
100 9.29 3.96 × 104
106 9.87 4.21 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 2.07 6470
20.0 3.44 1.08 × 104
30.0 5.17 1.62 × 104
40.0 6.89 2.16 × 104
50.0 8.61 2.70 × 104
57.3 9.87 3.09 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 3.52 8450
20.0 5.87 1.41 × 104
30.0 8.81 2.11 × 104
33.6 9.87 2.37 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 5.65 1.07 × 104
20.0 9.41 1.78 × 104
21.0 9.87 1.87 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 8.60 1.32 × 104
13.8 9.87 1.52 × 104
Additional Information
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FREE Publications
Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more publications