3D Scanners

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

Selecting the Right 3D Printer

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

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

Injection Molding Design Guide

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

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W14 × 120
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 = 1380 in4) for the W14 × 120 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 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 2.52 × 10-6 7.28
200 4.20 × 10-6 12.1
300 6.29 × 10-6 18.2
400 8.39 × 10-6 24.3
500 1.05 × 10-5 30.3
600 1.26 × 10-5 36.4
700 1.47 × 10-5 42.5
800 1.68 × 10-5 48.5
900 1.89 × 10-5 54.6
1000 2.10 × 10-5 60.7
2000 4.20 × 10-5 121
3000 6.29 × 10-5 182
4000 8.39 × 10-5 243
5000 1.05 × 10-4 303
6000 1.26 × 10-4 364
7000 1.47 × 10-4 425
8000 1.68 × 10-4 485
9000 1.89 × 10-4 546
1.00 × 104 2.10 × 10-4 607
2.00 × 104 4.20 × 10-4 1210
3.00 × 104 6.29 × 10-4 1820
4.00 × 104 8.39 × 10-4 2430
5.00 × 104 0.00105 3030
6.00 × 104 0.00126 3640
7.00 × 104 0.00147 4250
8.00 × 104 0.00168 4850
9.00 × 104 0.00189 5460
1.00 × 105 0.00210 6070
2.00 × 105 0.00420 1.21 × 104
3.00 × 105 0.00629 1.82 × 104
4.00 × 105 0.00839 2.43 × 104
5.00 × 105 0.0105 3.03 × 104
6.00 × 105 0.0126 3.64 × 104
7.00 × 105 0.0147 4.25 × 104
8.00 × 105 0.0168 4.85 × 104
9.00 × 105 0.0189 5.46 × 104
1.00 × 106 0.0210 6.07 × 104
2.00 × 106 0.0420 1.21 × 105
3.00 × 106 0.0629 1.82 × 105
4.00 × 106 0.0839 2.43 × 105
4.89 × 106 0.103 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 1.94 × 10-5 20.2
200 3.24 × 10-5 33.7
300 4.86 × 10-5 50.6
400 6.48 × 10-5 67.4
500 8.09 × 10-5 84.3
600 9.71 × 10-5 101
700 1.13 × 10-4 118
800 1.30 × 10-4 135
900 1.46 × 10-4 152
1000 1.62 × 10-4 169
2000 3.24 × 10-4 337
3000 4.86 × 10-4 506
4000 6.48 × 10-4 674
5000 8.09 × 10-4 843
6000 9.71 × 10-4 1010
7000 0.00113 1180
8000 0.00130 1350
9000 0.00146 1520
1.00 × 104 0.00162 1690
2.00 × 104 0.00324 3370
3.00 × 104 0.00486 5060
4.00 × 104 0.00648 6740
5.00 × 104 0.00809 8430
6.00 × 104 0.00971 1.01 × 104
7.00 × 104 0.0113 1.18 × 104
8.00 × 104 0.0130 1.35 × 104
9.00 × 104 0.0146 1.52 × 104
1.00 × 105 0.0162 1.69 × 104
2.00 × 105 0.0324 3.37 × 104
3.00 × 105 0.0486 5.06 × 104
4.00 × 105 0.0648 6.74 × 104
5.00 × 105 0.0809 8.43 × 104
6.00 × 105 0.0971 1.01 × 105
7.00 × 105 0.113 1.18 × 105
8.00 × 105 0.130 1.35 × 105
9.00 × 105 0.146 1.52 × 105
1.00 × 106 0.162 1.69 × 105
1.76 × 106 0.285 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 3.11 × 10-4 80.9
200 5.18 × 10-4 135
300 7.77 × 10-4 202
400 0.00104 270
500 0.00130 337
600 0.00155 405
700 0.00181 472
800 0.00207 539
900 0.00233 607
1000 0.00259 674
2000 0.00518 1350
3000 0.00777 2020
4000 0.0104 2700
5000 0.0130 3370
6000 0.0155 4050
7000 0.0181 4720
8000 0.0207 5390
9000 0.0233 6070
1.00 × 104 0.0259 6740
2.00 × 104 0.0518 1.35 × 104
3.00 × 104 0.0777 2.02 × 104
4.00 × 104 0.104 2.70 × 104
5.00 × 104 0.130 3.37 × 104
6.00 × 104 0.155 4.05 × 104
7.00 × 104 0.181 4.72 × 104
8.00 × 104 0.207 5.39 × 104
9.00 × 104 0.233 6.07 × 104
1.00 × 105 0.259 6.74 × 104
2.00 × 105 0.518 1.35 × 105
3.00 × 105 0.777 2.02 × 105
4.00 × 105 1.04 2.70 × 105
4.41 × 105 1.14 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.00157 182
200 0.00262 303
300 0.00393 455
400 0.00524 607
500 0.00656 759
600 0.00787 910
700 0.00918 1060
800 0.0105 1210
900 0.0118 1370
1000 0.0131 1520
2000 0.0262 3030
3000 0.0393 4550
4000 0.0524 6070
5000 0.0656 7590
6000 0.0787 9100
7000 0.0918 1.06 × 104
8000 0.105 1.21 × 104
9000 0.118 1.37 × 104
1.00 × 104 0.131 1.52 × 104
2.00 × 104 0.262 3.03 × 104
3.00 × 104 0.393 4.55 × 104
4.00 × 104 0.524 6.07 × 104
5.00 × 104 0.656 7.59 × 104
6.00 × 104 0.787 9.10 × 104
7.00 × 104 0.918 1.06 × 105
8.00 × 104 1.05 1.21 × 105
9.00 × 104 1.18 1.37 × 105
1.00 × 105 1.31 1.52 × 105
1.96 × 105 2.57 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.00497 324
200 0.00829 539
300 0.0124 809
400 0.0166 1080
500 0.0207 1350
600 0.0249 1620
700 0.0290 1890
800 0.0332 2160
900 0.0373 2430
1000 0.0414 2700
2000 0.0829 5390
3000 0.124 8090
4000 0.166 1.08 × 104
5000 0.207 1.35 × 104
6000 0.249 1.62 × 104
7000 0.290 1.89 × 104
8000 0.332 2.16 × 104
9000 0.373 2.43 × 104
1.00 × 104 0.414 2.70 × 104
2.00 × 104 0.829 5.39 × 104
3.00 × 104 1.24 8.09 × 104
4.00 × 104 1.66 1.08 × 105
5.00 × 104 2.07 1.35 × 105
6.00 × 104 2.49 1.62 × 105
7.00 × 104 2.90 1.89 × 105
8.00 × 104 3.32 2.16 × 105
9.00 × 104 3.73 2.43 × 105
1.00 × 105 4.14 2.70 × 105
1.10 × 105 4.56 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0121 506
200 0.0202 843
300 0.0304 1260
400 0.0405 1690
500 0.0506 2110
600 0.0607 2530
700 0.0708 2950
800 0.0809 3370
900 0.0911 3790
1000 0.101 4210
2000 0.202 8430
3000 0.304 1.26 × 104
4000 0.405 1.69 × 104
5000 0.506 2.11 × 104
6000 0.607 2.53 × 104
7000 0.708 2.95 × 104
8000 0.809 3.37 × 104
9000 0.911 3.79 × 104
1.00 × 104 1.01 4.21 × 104
2.00 × 104 2.02 8.43 × 104
3.00 × 104 3.04 1.26 × 105
4.00 × 104 4.05 1.69 × 105
5.00 × 104 5.06 2.11 × 105
6.00 × 104 6.07 2.53 × 105
7.00 × 104 7.08 2.95 × 105
7.05 × 104 7.13 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0252 728
200 0.0420 1210
300 0.0629 1820
400 0.0839 2430
500 0.105 3030
600 0.126 3640
700 0.147 4250
800 0.168 4850
900 0.189 5460
1000 0.210 6070
2000 0.420 1.21 × 104
3000 0.629 1.82 × 104
4000 0.839 2.43 × 104
5000 1.05 3.03 × 104
6000 1.26 3.64 × 104
7000 1.47 4.25 × 104
8000 1.68 4.85 × 104
9000 1.89 5.46 × 104
1.00 × 104 2.10 6.07 × 104
2.00 × 104 4.20 1.21 × 105
3.00 × 104 6.29 1.82 × 105
4.00 × 104 8.39 2.43 × 105
4.89 × 104 10.3 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.0796 1290
200 0.133 2160
300 0.199 3240
400 0.265 4320
500 0.332 5390
600 0.398 6470
700 0.464 7550
800 0.530 8630
900 0.597 9710
1000 0.663 1.08 × 104
2000 1.33 2.16 × 104
3000 1.99 3.24 × 104
4000 2.65 4.32 × 104
5000 3.32 5.39 × 104
6000 3.98 6.47 × 104
7000 4.64 7.55 × 104
8000 5.30 8.63 × 104
9000 5.97 9.71 × 104
1.00 × 104 6.63 1.08 × 105
2.00 × 104 13.3 2.16 × 105
2.75 × 104 18.3 2.97 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.194 2020
200 0.324 3370
300 0.486 5060
400 0.648 6740
500 0.809 8430
600 0.971 1.01 × 104
700 1.13 1.18 × 104
800 1.30 1.35 × 104
900 1.46 1.52 × 104
1000 1.62 1.69 × 104
2000 3.24 3.37 × 104
3000 4.86 5.06 × 104
4000 6.48 6.74 × 104
5000 8.09 8.43 × 104
6000 9.71 1.01 × 105
7000 11.3 1.18 × 105
8000 13.0 1.35 × 105
8950 14.5 1.51 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.403 2910
200 0.671 4850
300 1.01 7280
400 1.34 9710
500 1.68 1.21 × 104
600 2.01 1.46 × 104
700 2.35 1.70 × 104
800 2.69 1.94 × 104
900 3.02 2.18 × 104
1000 3.36 2.43 × 104
2000 6.71 4.85 × 104
3000 10.1 7.28 × 104
4000 13.4 9.71 × 104
4310 14.5 1.05 × 105
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 0.746 3960
200 1.24 6610
300 1.87 9910
400 2.49 1.32 × 104
500 3.11 1.65 × 104
600 3.73 1.98 × 104
700 4.35 2.31 × 104
800 4.97 2.64 × 104
900 5.60 2.97 × 104
1000 6.22 3.30 × 104
2000 12.4 6.61 × 104
2330 14.5 7.69 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 1.27 5180
200 2.12 8630
300 3.18 1.29 × 104
400 4.24 1.73 × 104
500 5.30 2.16 × 104
600 6.37 2.59 × 104
700 7.43 3.02 × 104
800 8.49 3.45 × 104
900 9.55 3.88 × 104
1000 10.6 4.32 × 104
1360 14.5 5.89 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 2.04 6550
200 3.40 1.09 × 104
300 5.10 1.64 × 104
400 6.80 2.18 × 104
500 8.50 2.73 × 104
600 10.2 3.28 × 104
700 11.9 3.82 × 104
800 13.6 4.37 × 104
852 14.5 4.65 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 3.11 8090
200 5.18 1.35 × 104
300 7.77 2.02 × 104
400 10.4 2.70 × 104
500 13.0 3.37 × 104
559 14.5 3.77 × 104
Steel I Beam: W14 × 120 (Wide Flange 14 inch tall × 120 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
120 7.59 1.26 × 104
200 12.6 2.11 × 104
229 14.5 2.41 × 104
Additional Information
Related Pages
FREE Publications
3D Scanners

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

Selecting the Right 3D Printer

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

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

Injection Molding Design Guide

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

more publications