Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Selecting the Right 3D Printer

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

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 106
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 = 933 in4) for the W12 × 106 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 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 3.55 × 10-6 7.91
200 6.70 × 10-6 14.9
300 1.00 × 10-5 22.4
400 1.34 × 10-5 29.8
500 1.67 × 10-5 37.3
600 2.01 × 10-5 44.8
700 2.34 × 10-5 52.2
800 2.68 × 10-5 59.7
900 3.01 × 10-5 67.1
1000 3.35 × 10-5 74.6
2000 6.70 × 10-5 149
3000 1.00 × 10-4 224
4000 1.34 × 10-4 298
5000 1.67 × 10-4 373
6000 2.01 × 10-4 448
7000 2.34 × 10-4 522
8000 2.68 × 10-4 597
9000 3.01 × 10-4 671
1.00 × 104 3.35 × 10-4 746
2.00 × 104 6.70 × 10-4 1490
3.00 × 104 0.00100 2240
4.00 × 104 0.00134 2980
5.00 × 104 0.00167 3730
6.00 × 104 0.00201 4480
7.00 × 104 0.00234 5220
8.00 × 104 0.00268 5970
9.00 × 104 0.00301 6710
1.00 × 105 0.00335 7460
2.00 × 105 0.00670 1.49 × 104
3.00 × 105 0.0100 2.24 × 104
4.00 × 105 0.0134 2.98 × 104
5.00 × 105 0.0167 3.73 × 104
6.00 × 105 0.0201 4.48 × 104
7.00 × 105 0.0234 5.22 × 104
8.00 × 105 0.0268 5.97 × 104
9.00 × 105 0.0301 6.71 × 104
1.00 × 106 0.0335 7.46 × 104
2.00 × 106 0.0670 1.49 × 105
3.00 × 106 0.100 2.24 × 105
3.98 × 106 0.133 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 2.74 × 10-5 22.0
200 5.17 × 10-5 41.4
300 7.75 × 10-5 62.2
400 1.03 × 10-4 82.9
500 1.29 × 10-4 104
600 1.55 × 10-4 124
700 1.81 × 10-4 145
800 2.07 × 10-4 166
900 2.33 × 10-4 187
1000 2.58 × 10-4 207
2000 5.17 × 10-4 414
3000 7.75 × 10-4 622
4000 0.00103 829
5000 0.00129 1040
6000 0.00155 1240
7000 0.00181 1450
8000 0.00207 1660
9000 0.00233 1870
1.00 × 104 0.00258 2070
2.00 × 104 0.00517 4140
3.00 × 104 0.00775 6220
4.00 × 104 0.0103 8290
5.00 × 104 0.0129 1.04 × 104
6.00 × 104 0.0155 1.24 × 104
7.00 × 104 0.0181 1.45 × 104
8.00 × 104 0.0207 1.66 × 104
9.00 × 104 0.0233 1.87 × 104
1.00 × 105 0.0258 2.07 × 104
2.00 × 105 0.0517 4.14 × 104
3.00 × 105 0.0775 6.22 × 104
4.00 × 105 0.103 8.29 × 104
5.00 × 105 0.129 1.04 × 105
6.00 × 105 0.155 1.24 × 105
7.00 × 105 0.181 1.45 × 105
8.00 × 105 0.207 1.66 × 105
9.00 × 105 0.233 1.87 × 105
1.00 × 106 0.258 2.07 × 105
1.43 × 106 0.370 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 4.38 × 10-4 87.9
200 8.27 × 10-4 166
300 0.00124 249
400 0.00165 332
500 0.00207 414
600 0.00248 497
700 0.00289 580
800 0.00331 663
900 0.00372 746
1000 0.00413 829
2000 0.00827 1660
3000 0.0124 2490
4000 0.0165 3320
5000 0.0207 4140
6000 0.0248 4970
7000 0.0289 5800
8000 0.0331 6630
9000 0.0372 7460
1.00 × 104 0.0413 8290
2.00 × 104 0.0827 1.66 × 104
3.00 × 104 0.124 2.49 × 104
4.00 × 104 0.165 3.32 × 104
5.00 × 104 0.207 4.14 × 104
6.00 × 104 0.248 4.97 × 104
7.00 × 104 0.289 5.80 × 104
8.00 × 104 0.331 6.63 × 104
9.00 × 104 0.372 7.46 × 104
1.00 × 105 0.413 8.29 × 104
2.00 × 105 0.827 1.66 × 105
3.00 × 105 1.24 2.49 × 105
3.58 × 105 1.48 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.00222 198
200 0.00419 373
300 0.00628 560
400 0.00837 746
500 0.0105 933
600 0.0126 1120
700 0.0147 1310
800 0.0167 1490
900 0.0188 1680
1000 0.0209 1870
2000 0.0419 3730
3000 0.0628 5600
4000 0.0837 7460
5000 0.105 9330
6000 0.126 1.12 × 104
7000 0.147 1.31 × 104
8000 0.167 1.49 × 104
9000 0.188 1.68 × 104
1.00 × 104 0.209 1.87 × 104
2.00 × 104 0.419 3.73 × 104
3.00 × 104 0.628 5.60 × 104
4.00 × 104 0.837 7.46 × 104
5.00 × 104 1.05 9.33 × 104
6.00 × 104 1.26 1.12 × 105
7.00 × 104 1.47 1.31 × 105
8.00 × 104 1.67 1.49 × 105
9.00 × 104 1.88 1.68 × 105
1.00 × 105 2.09 1.87 × 105
1.59 × 105 3.33 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.00701 351
200 0.0132 663
300 0.0198 995
400 0.0265 1330
500 0.0331 1660
600 0.0397 1990
700 0.0463 2320
800 0.0529 2650
900 0.0595 2980
1000 0.0662 3320
2000 0.132 6630
3000 0.198 9950
4000 0.265 1.33 × 104
5000 0.331 1.66 × 104
6000 0.397 1.99 × 104
7000 0.463 2.32 × 104
8000 0.529 2.65 × 104
9000 0.595 2.98 × 104
1.00 × 104 0.662 3.32 × 104
2.00 × 104 1.32 6.63 × 104
3.00 × 104 1.98 9.95 × 104
4.00 × 104 2.65 1.33 × 105
5.00 × 104 3.31 1.66 × 105
6.00 × 104 3.97 1.99 × 105
7.00 × 104 4.63 2.32 × 105
8.00 × 104 5.29 2.65 × 105
8.96 × 104 5.93 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0171 549
200 0.0323 1040
300 0.0485 1550
400 0.0646 2070
500 0.0808 2590
600 0.0969 3110
700 0.113 3630
800 0.129 4140
900 0.145 4660
1000 0.162 5180
2000 0.323 1.04 × 104
3000 0.485 1.55 × 104
4000 0.646 2.07 × 104
5000 0.808 2.59 × 104
6000 0.969 3.11 × 104
7000 1.13 3.63 × 104
8000 1.29 4.14 × 104
9000 1.45 4.66 × 104
1.00 × 104 1.62 5.18 × 104
2.00 × 104 3.23 1.04 × 105
3.00 × 104 4.85 1.55 × 105
4.00 × 104 6.46 2.07 × 105
5.00 × 104 8.08 2.59 × 105
5.73 × 104 9.26 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0355 791
200 0.0670 1490
300 0.100 2240
400 0.134 2980
500 0.167 3730
600 0.201 4480
700 0.234 5220
800 0.268 5970
900 0.301 6710
1000 0.335 7460
2000 0.670 1.49 × 104
3000 1.00 2.24 × 104
4000 1.34 2.98 × 104
5000 1.67 3.73 × 104
6000 2.01 4.48 × 104
7000 2.34 5.22 × 104
8000 2.68 5.97 × 104
9000 3.01 6.71 × 104
1.00 × 104 3.35 7.46 × 104
2.00 × 104 6.70 1.49 × 105
3.00 × 104 10.0 2.24 × 105
3.98 × 104 13.3 2.97 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.112 1410
200 0.212 2650
300 0.318 3980
400 0.423 5310
500 0.529 6630
600 0.635 7960
700 0.741 9280
800 0.847 1.06 × 104
900 0.953 1.19 × 104
1000 1.06 1.33 × 104
2000 2.12 2.65 × 104
3000 3.18 3.98 × 104
4000 4.23 5.31 × 104
5000 5.29 6.63 × 104
6000 6.35 7.96 × 104
7000 7.41 9.28 × 104
8000 8.47 1.06 × 105
9000 9.53 1.19 × 105
1.00 × 104 10.6 1.33 × 105
1.22 × 104 12.9 1.62 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.274 2200
200 0.517 4140
300 0.775 6220
400 1.03 8290
500 1.29 1.04 × 104
600 1.55 1.24 × 104
700 1.81 1.45 × 104
800 2.07 1.66 × 104
900 2.33 1.87 × 104
1000 2.58 2.07 × 104
2000 5.17 4.14 × 104
3000 7.75 6.22 × 104
4000 10.3 8.29 × 104
4990 12.9 1.03 × 105
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.568 3160
200 1.07 5970
300 1.61 8950
400 2.14 1.19 × 104
500 2.68 1.49 × 104
600 3.22 1.79 × 104
700 3.75 2.09 × 104
800 4.29 2.39 × 104
900 4.82 2.69 × 104
1000 5.36 2.98 × 104
2000 10.7 5.97 × 104
2410 12.9 7.18 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.05 4310
200 1.99 8120
300 2.98 1.22 × 104
400 3.97 1.62 × 104
500 4.96 2.03 × 104
600 5.96 2.44 × 104
700 6.95 2.84 × 104
800 7.94 3.25 × 104
900 8.94 3.66 × 104
1000 9.93 4.06 × 104
1300 12.9 5.27 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.80 5620
200 3.39 1.06 × 104
300 5.08 1.59 × 104
400 6.77 2.12 × 104
500 8.47 2.65 × 104
600 10.2 3.18 × 104
700 11.9 3.71 × 104
761 12.9 4.04 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 2.88 7120
200 5.43 1.34 × 104
300 8.14 2.01 × 104
400 10.9 2.69 × 104
475 12.9 3.19 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 4.38 8790
200 8.27 1.66 × 104
300 12.4 2.49 × 104
312 12.9 2.58 × 104
Steel I Beam: W12 × 106 (Wide Flange 12 inch tall × 106 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 10.7 1.37 × 104
128 12.9 1.65 × 104
Additional Information
Related Pages
FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Selecting the Right 3D Printer

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

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

more publications