Metal 3D Printing Design Guide

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

CNC Machining Design Guide

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

Mechanical Engineers Outlook

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

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 » Aluminum I Beam » 3.00 × 2.030
Aluminum 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 = 2.71 in4) for the 3.00 × 2.030 Aluminum I Beam and the typical Young's modulus (E = 1.015 × 107 psi) of Aluminum Alloys. Note that the typical yielding stress Yield of Aluminum Alloys can range from 4061 to 7.614 × 104 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
   
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 7.02 × 10-5 12.1
3.00 1.04 × 10-4 17.9
4.00 1.38 × 10-4 23.9
5.00 1.73 × 10-4 29.9
6.00 2.08 × 10-4 35.9
7.00 2.42 × 10-4 41.8
8.00 2.77 × 10-4 47.8
9.00 3.11 × 10-4 53.8
10.0 3.46 × 10-4 59.8
20.0 6.92 × 10-4 120
30.0 0.00104 179
40.0 0.00138 239
50.0 0.00173 299
60.0 0.00208 359
70.0 0.00242 418
80.0 0.00277 478
90.0 0.00311 538
100 0.00346 598
200 0.00692 1200
300 0.0104 1790
400 0.0138 2390
500 0.0173 2990
600 0.0208 3590
700 0.0242 4180
800 0.0277 4780
900 0.0311 5380
1000 0.0346 5980
2000 0.0692 1.20 × 104
3000 0.104 1.79 × 104
4000 0.138 2.39 × 104
5000 0.173 2.99 × 104
6000 0.208 3.59 × 104
7000 0.242 4.18 × 104
8000 0.277 4.78 × 104
9000 0.311 5.38 × 104
1.00 × 104 0.346 5.98 × 104
1.27 × 104 0.441 7.61 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 5.42 × 10-4 33.7
3.00 8.01 × 10-4 49.8
4.00 0.00107 66.4
5.00 0.00133 83.0
6.00 0.00160 99.6
7.00 0.00187 116
8.00 0.00214 133
9.00 0.00240 149
10.0 0.00267 166
20.0 0.00534 332
30.0 0.00801 498
40.0 0.0107 664
50.0 0.0133 830
60.0 0.0160 996
70.0 0.0187 1160
80.0 0.0214 1330
90.0 0.0240 1490
100 0.0267 1660
200 0.0534 3320
300 0.0801 4980
400 0.107 6640
500 0.133 8300
600 0.160 9960
700 0.187 1.16 × 104
800 0.214 1.33 × 104
900 0.240 1.49 × 104
1000 0.267 1.66 × 104
2000 0.534 3.32 × 104
3000 0.801 4.98 × 104
4000 1.07 6.64 × 104
4590 1.22 7.61 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.00867 135
3.00 0.0128 199
4.00 0.0171 266
5.00 0.0214 332
6.00 0.0256 399
7.00 0.0299 465
8.00 0.0342 531
9.00 0.0384 598
10.0 0.0427 664
20.0 0.0854 1330
30.0 0.128 1990
40.0 0.171 2660
50.0 0.214 3320
60.0 0.256 3990
70.0 0.299 4650
80.0 0.342 5310
90.0 0.384 5980
100 0.427 6640
200 0.854 1.33 × 104
300 1.28 1.99 × 104
400 1.71 2.66 × 104
500 2.14 3.32 × 104
600 2.56 3.99 × 104
700 2.99 4.65 × 104
702 3.00 4.67 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.0439 303
3.00 0.0649 448
4.00 0.0865 598
5.00 0.108 747
6.00 0.130 897
7.00 0.151 1050
8.00 0.173 1200
9.00 0.195 1350
10.0 0.216 1490
20.0 0.432 2990
30.0 0.649 4480
40.0 0.865 5980
50.0 1.08 7470
60.0 1.30 8970
70.0 1.51 1.05 × 104
80.0 1.73 1.20 × 104
90.0 1.95 1.35 × 104
100 2.16 1.49 × 104
139 3.00 2.07 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.139 539
3.00 0.205 797
4.00 0.273 1060
5.00 0.342 1330
6.00 0.410 1590
7.00 0.478 1860
8.00 0.547 2130
9.00 0.615 2390
10.0 0.683 2660
20.0 1.37 5310
30.0 2.05 7970
40.0 2.73 1.06 × 104
43.9 3.00 1.17 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.339 843
3.00 0.500 1250
4.00 0.667 1660
5.00 0.834 2080
6.00 1.00 2490
7.00 1.17 2910
8.00 1.33 3320
9.00 1.50 3740
10.0 1.67 4150
18.0 3.00 7470
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.702 1210
3.00 1.04 1790
4.00 1.38 2390
5.00 1.73 2990
6.00 2.08 3590
7.00 2.42 4180
8.00 2.77 4780
8.67 3.00 5180
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 2.22 2160
2.74 3.00 2920
Additional Information
Related Pages
FREE Publications
Metal 3D Printing Design Guide

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

CNC Machining Design Guide

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

Mechanical Engineers Outlook

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

STEM Career Outlook

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

more publications