STEM Career Outlook

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

Injection Molding Design Guide

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

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

3D Scanners

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

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W14 × 109
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 = 1240 in4) for the W14 × 109 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: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.75 × 10-6 6.80
200 5.04 × 10-6 12.5
300 7.56 × 10-6 18.7
400 1.01 × 10-5 24.9
500 1.26 × 10-5 31.2
600 1.51 × 10-5 37.4
700 1.76 × 10-5 43.7
800 2.02 × 10-5 49.9
900 2.27 × 10-5 56.1
1000 2.52 × 10-5 62.4
2000 5.04 × 10-5 125
3000 7.56 × 10-5 187
4000 1.01 × 10-4 249
5000 1.26 × 10-4 312
6000 1.51 × 10-4 374
7000 1.76 × 10-4 437
8000 2.02 × 10-4 499
9000 2.27 × 10-4 561
1.00 × 104 2.52 × 10-4 624
2.00 × 104 5.04 × 10-4 1250
3.00 × 104 7.56 × 10-4 1870
4.00 × 104 0.00101 2490
5.00 × 104 0.00126 3120
6.00 × 104 0.00151 3740
7.00 × 104 0.00176 4370
8.00 × 104 0.00202 4990
9.00 × 104 0.00227 5610
1.00 × 105 0.00252 6240
2.00 × 105 0.00504 1.25 × 104
3.00 × 105 0.00756 1.87 × 104
4.00 × 105 0.0101 2.49 × 104
5.00 × 105 0.0126 3.12 × 104
6.00 × 105 0.0151 3.74 × 104
7.00 × 105 0.0176 4.37 × 104
8.00 × 105 0.0202 4.99 × 104
9.00 × 105 0.0227 5.61 × 104
1.00 × 106 0.0252 6.24 × 104
2.00 × 106 0.0504 1.25 × 105
3.00 × 106 0.0756 1.87 × 105
4.00 × 106 0.101 2.49 × 105
4.76 × 106 0.120 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.12 × 10-5 18.9
200 3.89 × 10-5 34.6
300 5.83 × 10-5 52.0
400 7.78 × 10-5 69.3
500 9.72 × 10-5 86.6
600 1.17 × 10-4 104
700 1.36 × 10-4 121
800 1.56 × 10-4 139
900 1.75 × 10-4 156
1000 1.94 × 10-4 173
2000 3.89 × 10-4 346
3000 5.83 × 10-4 520
4000 7.78 × 10-4 693
5000 9.72 × 10-4 866
6000 0.00117 1040
7000 0.00136 1210
8000 0.00156 1390
9000 0.00175 1560
1.00 × 104 0.00194 1730
2.00 × 104 0.00389 3460
3.00 × 104 0.00583 5200
4.00 × 104 0.00778 6930
5.00 × 104 0.00972 8660
6.00 × 104 0.0117 1.04 × 104
7.00 × 104 0.0136 1.21 × 104
8.00 × 104 0.0156 1.39 × 104
9.00 × 104 0.0175 1.56 × 104
1.00 × 105 0.0194 1.73 × 104
2.00 × 105 0.0389 3.46 × 104
3.00 × 105 0.0583 5.20 × 104
4.00 × 105 0.0778 6.93 × 104
5.00 × 105 0.0972 8.66 × 104
6.00 × 105 0.117 1.04 × 105
7.00 × 105 0.136 1.21 × 105
8.00 × 105 0.156 1.39 × 105
9.00 × 105 0.175 1.56 × 105
1.00 × 106 0.194 1.73 × 105
1.71 × 106 0.333 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 3.39 × 10-4 75.5
200 6.22 × 10-4 139
300 9.33 × 10-4 208
400 0.00124 277
500 0.00156 346
600 0.00187 416
700 0.00218 485
800 0.00249 554
900 0.00280 624
1000 0.00311 693
2000 0.00622 1390
3000 0.00933 2080
4000 0.0124 2770
5000 0.0156 3460
6000 0.0187 4160
7000 0.0218 4850
8000 0.0249 5540
9000 0.0280 6240
1.00 × 104 0.0311 6930
2.00 × 104 0.0622 1.39 × 104
3.00 × 104 0.0933 2.08 × 104
4.00 × 104 0.124 2.77 × 104
5.00 × 104 0.156 3.46 × 104
6.00 × 104 0.187 4.16 × 104
7.00 × 104 0.218 4.85 × 104
8.00 × 104 0.249 5.54 × 104
9.00 × 104 0.280 6.24 × 104
1.00 × 105 0.311 6.93 × 104
2.00 × 105 0.622 1.39 × 105
3.00 × 105 0.933 2.08 × 105
4.00 × 105 1.24 2.77 × 105
4.29 × 105 1.33 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.00172 170
200 0.00315 312
300 0.00473 468
400 0.00630 624
500 0.00788 780
600 0.00945 935
700 0.0110 1090
800 0.0126 1250
900 0.0142 1400
1000 0.0158 1560
2000 0.0315 3120
3000 0.0473 4680
4000 0.0630 6240
5000 0.0788 7800
6000 0.0945 9350
7000 0.110 1.09 × 104
8000 0.126 1.25 × 104
9000 0.142 1.40 × 104
1.00 × 104 0.158 1.56 × 104
2.00 × 104 0.315 3.12 × 104
3.00 × 104 0.473 4.68 × 104
4.00 × 104 0.630 6.24 × 104
5.00 × 104 0.788 7.80 × 104
6.00 × 104 0.945 9.35 × 104
7.00 × 104 1.10 1.09 × 105
8.00 × 104 1.26 1.25 × 105
9.00 × 104 1.42 1.40 × 105
1.00 × 105 1.58 1.56 × 105
1.91 × 105 3.00 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.00543 302
200 0.00996 554
300 0.0149 831
400 0.0199 1110
500 0.0249 1390
600 0.0299 1660
700 0.0348 1940
800 0.0398 2220
900 0.0448 2490
1000 0.0498 2770
2000 0.0996 5540
3000 0.149 8310
4000 0.199 1.11 × 104
5000 0.249 1.39 × 104
6000 0.299 1.66 × 104
7000 0.348 1.94 × 104
8000 0.398 2.22 × 104
9000 0.448 2.49 × 104
1.00 × 104 0.498 2.77 × 104
2.00 × 104 0.996 5.54 × 104
3.00 × 104 1.49 8.31 × 104
4.00 × 104 1.99 1.11 × 105
5.00 × 104 2.49 1.39 × 105
6.00 × 104 2.99 1.66 × 105
7.00 × 104 3.48 1.94 × 105
8.00 × 104 3.98 2.22 × 105
9.00 × 104 4.48 2.49 × 105
1.00 × 105 4.98 2.77 × 105
1.07 × 105 5.33 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0132 472
200 0.0243 866
300 0.0365 1300
400 0.0486 1730
500 0.0608 2170
600 0.0729 2600
700 0.0851 3030
800 0.0972 3460
900 0.109 3900
1000 0.122 4330
2000 0.243 8660
3000 0.365 1.30 × 104
4000 0.486 1.73 × 104
5000 0.608 2.17 × 104
6000 0.729 2.60 × 104
7000 0.851 3.03 × 104
8000 0.972 3.46 × 104
9000 1.09 3.90 × 104
1.00 × 104 1.22 4.33 × 104
2.00 × 104 2.43 8.66 × 104
3.00 × 104 3.65 1.30 × 105
4.00 × 104 4.86 1.73 × 105
5.00 × 104 6.08 2.17 × 105
6.00 × 104 7.29 2.60 × 105
6.86 × 104 8.34 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0275 680
200 0.0504 1250
300 0.0756 1870
400 0.101 2490
500 0.126 3120
600 0.151 3740
700 0.176 4370
800 0.202 4990
900 0.227 5610
1000 0.252 6240
2000 0.504 1.25 × 104
3000 0.756 1.87 × 104
4000 1.01 2.49 × 104
5000 1.26 3.12 × 104
6000 1.51 3.74 × 104
7000 1.76 4.37 × 104
8000 2.02 4.99 × 104
9000 2.27 5.61 × 104
1.00 × 104 2.52 6.24 × 104
2.00 × 104 5.04 1.25 × 105
3.00 × 104 7.56 1.87 × 105
4.00 × 104 10.1 2.49 × 105
4.76 × 104 12.0 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0868 1210
200 0.159 2220
300 0.239 3330
400 0.319 4430
500 0.398 5540
600 0.478 6650
700 0.558 7760
800 0.637 8870
900 0.717 9980
1000 0.796 1.11 × 104
2000 1.59 2.22 × 104
3000 2.39 3.33 × 104
4000 3.19 4.43 × 104
5000 3.98 5.54 × 104
6000 4.78 6.65 × 104
7000 5.58 7.76 × 104
8000 6.37 8.87 × 104
9000 7.17 9.98 × 104
1.00 × 104 7.96 1.11 × 105
1.80 × 104 14.3 1.99 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.212 1890
200 0.389 3460
300 0.583 5200
400 0.778 6930
500 0.972 8660
600 1.17 1.04 × 104
700 1.36 1.21 × 104
800 1.56 1.39 × 104
900 1.75 1.56 × 104
1000 1.94 1.73 × 104
2000 3.89 3.46 × 104
3000 5.83 5.20 × 104
4000 7.78 6.93 × 104
5000 9.72 8.66 × 104
6000 11.7 1.04 × 105
7000 13.6 1.21 × 105
7360 14.3 1.28 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.440 2720
200 0.806 4990
300 1.21 7480
400 1.61 9980
500 2.02 1.25 × 104
600 2.42 1.50 × 104
700 2.82 1.75 × 104
800 3.23 2.00 × 104
900 3.63 2.25 × 104
1000 4.03 2.49 × 104
2000 8.06 4.99 × 104
3000 12.1 7.48 × 104
3550 14.3 8.86 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.814 3700
200 1.49 6790
300 2.24 1.02 × 104
400 2.99 1.36 × 104
500 3.74 1.70 × 104
600 4.48 2.04 × 104
700 5.23 2.38 × 104
800 5.98 2.72 × 104
900 6.72 3.06 × 104
1000 7.47 3.40 × 104
1920 14.3 6.51 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 1.39 4830
200 2.55 8870
300 3.82 1.33 × 104
400 5.10 1.77 × 104
500 6.37 2.22 × 104
600 7.65 2.66 × 104
700 8.92 3.10 × 104
800 10.2 3.55 × 104
900 11.5 3.99 × 104
1000 12.7 4.43 × 104
1120 14.3 4.98 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.22 6120
200 4.08 1.12 × 104
300 6.12 1.68 × 104
400 8.17 2.25 × 104
500 10.2 2.81 × 104
600 12.2 3.37 × 104
700 14.3 3.93 × 104
702 14.3 3.94 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 3.39 7550
200 6.22 1.39 × 104
300 9.33 2.08 × 104
400 12.4 2.77 × 104
460 14.3 3.19 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 8.28 1.18 × 104
189 14.3 2.04 × 104
Additional Information
Related Pages
FREE Publications
STEM Career Outlook

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

Injection Molding Design Guide

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

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

3D Scanners

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

more publications