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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth 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 2.54 × 10-6 7.28
200 4.67 × 10-6 13.4
300 7.00 × 10-6 20.0
400 9.34 × 10-6 26.7
500 1.17 × 10-5 33.4
600 1.40 × 10-5 40.1
700 1.63 × 10-5 46.8
800 1.87 × 10-5 53.4
900 2.10 × 10-5 60.1
1000 2.33 × 10-5 66.8
2000 4.67 × 10-5 134
3000 7.00 × 10-5 200
4000 9.34 × 10-5 267
5000 1.17 × 10-4 334
6000 1.40 × 10-4 401
7000 1.63 × 10-4 468
8000 1.87 × 10-4 534
9000 2.10 × 10-4 601
1.00 × 104 2.33 × 10-4 668
2.00 × 104 4.67 × 10-4 1340
3.00 × 104 7.00 × 10-4 2000
4.00 × 104 9.34 × 10-4 2670
5.00 × 104 0.00117 3340
6.00 × 104 0.00140 4010
7.00 × 104 0.00163 4680
8.00 × 104 0.00187 5340
9.00 × 104 0.00210 6010
1.00 × 105 0.00233 6680
2.00 × 105 0.00467 1.34 × 104
3.00 × 105 0.00700 2.00 × 104
4.00 × 105 0.00934 2.67 × 104
5.00 × 105 0.0117 3.34 × 104
6.00 × 105 0.0140 4.01 × 104
7.00 × 105 0.0163 4.68 × 104
8.00 × 105 0.0187 5.34 × 104
9.00 × 105 0.0210 6.01 × 104
1.00 × 106 0.0233 6.68 × 104
2.00 × 106 0.0467 1.34 × 105
3.00 × 106 0.0700 2.00 × 105
4.00 × 106 0.0934 2.67 × 105
4.45 × 106 0.104 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 1.96 × 10-5 20.2
200 3.60 × 10-5 37.1
300 5.40 × 10-5 55.7
400 7.21 × 10-5 74.2
500 9.01 × 10-5 92.8
600 1.08 × 10-4 111
700 1.26 × 10-4 130
800 1.44 × 10-4 148
900 1.62 × 10-4 167
1000 1.80 × 10-4 186
2000 3.60 × 10-4 371
3000 5.40 × 10-4 557
4000 7.21 × 10-4 742
5000 9.01 × 10-4 928
6000 0.00108 1110
7000 0.00126 1300
8000 0.00144 1480
9000 0.00162 1670
1.00 × 104 0.00180 1860
2.00 × 104 0.00360 3710
3.00 × 104 0.00540 5570
4.00 × 104 0.00721 7420
5.00 × 104 0.00901 9280
6.00 × 104 0.0108 1.11 × 104
7.00 × 104 0.0126 1.30 × 104
8.00 × 104 0.0144 1.48 × 104
9.00 × 104 0.0162 1.67 × 104
1.00 × 105 0.0180 1.86 × 104
2.00 × 105 0.0360 3.71 × 104
3.00 × 105 0.0540 5.57 × 104
4.00 × 105 0.0721 7.42 × 104
5.00 × 105 0.0901 9.28 × 104
6.00 × 105 0.108 1.11 × 105
7.00 × 105 0.126 1.30 × 105
8.00 × 105 0.144 1.48 × 105
9.00 × 105 0.162 1.67 × 105
1.00 × 106 0.180 1.86 × 105
1.60 × 106 0.288 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 3.14 × 10-4 80.9
200 5.76 × 10-4 148
300 8.65 × 10-4 223
400 0.00115 297
500 0.00144 371
600 0.00173 445
700 0.00202 519
800 0.00231 594
900 0.00259 668
1000 0.00288 742
2000 0.00576 1480
3000 0.00865 2230
4000 0.0115 2970
5000 0.0144 3710
6000 0.0173 4450
7000 0.0202 5190
8000 0.0231 5940
9000 0.0259 6680
1.00 × 104 0.0288 7420
2.00 × 104 0.0576 1.48 × 104
3.00 × 104 0.0865 2.23 × 104
4.00 × 104 0.115 2.97 × 104
5.00 × 104 0.144 3.71 × 104
6.00 × 104 0.173 4.45 × 104
7.00 × 104 0.202 5.19 × 104
8.00 × 104 0.231 5.94 × 104
9.00 × 104 0.259 6.68 × 104
1.00 × 105 0.288 7.42 × 104
2.00 × 105 0.576 1.48 × 105
3.00 × 105 0.865 2.23 × 105
4.00 × 105 1.15 2.97 × 105
4.00 × 105 1.15 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 0.00159 182
200 0.00292 334
300 0.00438 501
400 0.00584 668
500 0.00730 835
600 0.00876 1000
700 0.0102 1170
800 0.0117 1340
900 0.0131 1500
1000 0.0146 1670
2000 0.0292 3340
3000 0.0438 5010
4000 0.0584 6680
5000 0.0730 8350
6000 0.0876 1.00 × 104
7000 0.102 1.17 × 104
8000 0.117 1.34 × 104
9000 0.131 1.50 × 104
1.00 × 104 0.146 1.67 × 104
2.00 × 104 0.292 3.34 × 104
3.00 × 104 0.438 5.01 × 104
4.00 × 104 0.584 6.68 × 104
5.00 × 104 0.730 8.35 × 104
6.00 × 104 0.876 1.00 × 105
7.00 × 104 1.02 1.17 × 105
8.00 × 104 1.17 1.34 × 105
9.00 × 104 1.31 1.50 × 105
1.00 × 105 1.46 1.67 × 105
1.78 × 105 2.60 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 0.00503 324
200 0.00922 594
300 0.0138 891
400 0.0184 1190
500 0.0231 1480
600 0.0277 1780
700 0.0323 2080
800 0.0369 2370
900 0.0415 2670
1000 0.0461 2970
2000 0.0922 5940
3000 0.138 8910
4000 0.184 1.19 × 104
5000 0.231 1.48 × 104
6000 0.277 1.78 × 104
7000 0.323 2.08 × 104
8000 0.369 2.37 × 104
9000 0.415 2.67 × 104
1.00 × 104 0.461 2.97 × 104
2.00 × 104 0.922 5.94 × 104
3.00 × 104 1.38 8.91 × 104
4.00 × 104 1.84 1.19 × 105
5.00 × 104 2.31 1.48 × 105
6.00 × 104 2.77 1.78 × 105
7.00 × 104 3.23 2.08 × 105
8.00 × 104 3.69 2.37 × 105
9.00 × 104 4.15 2.67 × 105
1.00 × 105 4.61 2.97 × 105
1.00 × 105 4.61 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 0.0123 506
200 0.0225 928
300 0.0338 1390
400 0.0450 1860
500 0.0563 2320
600 0.0676 2780
700 0.0788 3250
800 0.0901 3710
900 0.101 4170
1000 0.113 4640
2000 0.225 9280
3000 0.338 1.39 × 104
4000 0.450 1.86 × 104
5000 0.563 2.32 × 104
6000 0.676 2.78 × 104
7000 0.788 3.25 × 104
8000 0.901 3.71 × 104
9000 1.01 4.17 × 104
1.00 × 104 1.13 4.64 × 104
2.00 × 104 2.25 9.28 × 104
3.00 × 104 3.38 1.39 × 105
4.00 × 104 4.50 1.86 × 105
5.00 × 104 5.63 2.32 × 105
6.00 × 104 6.76 2.78 × 105
6.40 × 104 7.21 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 0.0254 728
200 0.0467 1340
300 0.0700 2000
400 0.0934 2670
500 0.117 3340
600 0.140 4010
700 0.163 4680
800 0.187 5340
900 0.210 6010
1000 0.233 6680
2000 0.467 1.34 × 104
3000 0.700 2.00 × 104
4000 0.934 2.67 × 104
5000 1.17 3.34 × 104
6000 1.40 4.01 × 104
7000 1.63 4.68 × 104
8000 1.87 5.34 × 104
9000 2.10 6.01 × 104
1.00 × 104 2.33 6.68 × 104
2.00 × 104 4.67 1.34 × 105
3.00 × 104 7.00 2.00 × 105
4.00 × 104 9.34 2.67 × 105
4.45 × 104 10.4 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 0.0804 1290
200 0.148 2370
300 0.221 3560
400 0.295 4750
500 0.369 5940
600 0.443 7120
700 0.517 8310
800 0.590 9500
900 0.664 1.07 × 104
1000 0.738 1.19 × 104
2000 1.48 2.37 × 104
3000 2.21 3.56 × 104
4000 2.95 4.75 × 104
5000 3.69 5.94 × 104
6000 4.43 7.12 × 104
7000 5.17 8.31 × 104
8000 5.90 9.50 × 104
9000 6.64 1.07 × 105
1.00 × 104 7.38 1.19 × 105
1.94 × 104 14.3 2.30 × 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 0.196 2020
200 0.360 3710
300 0.540 5570
400 0.721 7420
500 0.901 9280
600 1.08 1.11 × 104
700 1.26 1.30 × 104
800 1.44 1.48 × 104
900 1.62 1.67 × 104
1000 1.80 1.86 × 104
2000 3.60 3.71 × 104
3000 5.40 5.57 × 104
4000 7.21 7.42 × 104
5000 9.01 9.28 × 104
6000 10.8 1.11 × 105
7000 12.6 1.30 × 105
7950 14.3 1.47 × 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 0.407 2910
200 0.747 5340
300 1.12 8010
400 1.49 1.07 × 104
500 1.87 1.34 × 104
600 2.24 1.60 × 104
700 2.61 1.87 × 104
800 2.99 2.14 × 104
900 3.36 2.40 × 104
1000 3.74 2.67 × 104
2000 7.47 5.34 × 104
3000 11.2 8.01 × 104
3830 14.3 1.02 × 105
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 0.754 3960
200 1.38 7270
300 2.08 1.09 × 104
400 2.77 1.45 × 104
500 3.46 1.82 × 104
600 4.15 2.18 × 104
700 4.84 2.55 × 104
800 5.54 2.91 × 104
900 6.23 3.27 × 104
1000 6.92 3.64 × 104
2000 13.8 7.27 × 104
2070 14.3 7.52 × 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 1.29 5180
200 2.36 9500
300 3.54 1.42 × 104
400 4.72 1.90 × 104
500 5.90 2.37 × 104
600 7.08 2.85 × 104
700 8.26 3.32 × 104
800 9.45 3.80 × 104
900 10.6 4.27 × 104
1000 11.8 4.75 × 104
1210 14.3 5.76 × 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 2.06 6550
200 3.78 1.20 × 104
300 5.67 1.80 × 104
400 7.56 2.40 × 104
500 9.46 3.01 × 104
600 11.3 3.61 × 104
700 13.2 4.21 × 104
757 14.3 4.55 × 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 3.14 8090
200 5.76 1.48 × 104
300 8.65 2.23 × 104
400 11.5 2.97 × 104
497 14.3 3.69 × 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 7.67 1.26 × 104
200 14.1 2.32 × 104
203 14.3 2.36 × 104
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Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

CNC Machining Design Guide

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

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

Metal 3D Printing Design Guide

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

more publications