Autonomous Vehicle Engineering

The No. 1 media source for those developing the next generation mobility solutions.

Reinforced Plastics

Informed and impartial coverage on the global composites industry.

Chemical Engineering

The industry gateway for chemical engineering and plant operations.

CNC Machining Design Guide

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

more free magazines

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Aluminum I Beam » 4.00 × 2.793
Aluminum I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 6.71 in4) for the 4.00 × 2.793 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: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 7.47 × 10-5 11.2
3.00 8.03 × 10-5 12.1
4.00 1.07 × 10-4 16.1
5.00 1.34 × 10-4 20.1
6.00 1.61 × 10-4 24.1
7.00 1.87 × 10-4 28.2
8.00 2.14 × 10-4 32.2
9.00 2.41 × 10-4 36.2
10.0 2.68 × 10-4 40.2
20.0 5.35 × 10-4 80.5
30.0 8.03 × 10-4 121
40.0 0.00107 161
50.0 0.00134 201
60.0 0.00161 241
70.0 0.00187 282
80.0 0.00214 322
90.0 0.00241 362
100 0.00268 402
200 0.00535 805
300 0.00803 1210
400 0.0107 1610
500 0.0134 2010
600 0.0161 2410
700 0.0187 2820
800 0.0214 3220
900 0.0241 3620
1000 0.0268 4020
2000 0.0535 8050
3000 0.0803 1.21 × 104
4000 0.107 1.61 × 104
5000 0.134 2.01 × 104
6000 0.161 2.41 × 104
7000 0.187 2.82 × 104
8000 0.214 3.22 × 104
9000 0.241 3.62 × 104
1.00 × 104 0.268 4.02 × 104
1.89 × 104 0.506 7.61 × 104
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 5.77 × 10-4 31.2
3.00 6.19 × 10-4 33.5
4.00 8.26 × 10-4 44.7
5.00 0.00103 55.9
6.00 0.00124 67.1
7.00 0.00144 78.2
8.00 0.00165 89.4
9.00 0.00186 101
10.0 0.00206 112
20.0 0.00413 224
30.0 0.00619 335
40.0 0.00826 447
50.0 0.0103 559
60.0 0.0124 671
70.0 0.0144 782
80.0 0.0165 894
90.0 0.0186 1010
100 0.0206 1120
200 0.0413 2240
300 0.0619 3350
400 0.0826 4470
500 0.103 5590
600 0.124 6710
700 0.144 7820
800 0.165 8940
900 0.186 1.01 × 104
1000 0.206 1.12 × 104
2000 0.413 2.24 × 104
3000 0.619 3.35 × 104
4000 0.826 4.47 × 104
5000 1.03 5.59 × 104
6000 1.24 6.71 × 104
6810 1.41 7.61 × 104
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 0.00922 125
3.00 0.00991 134
4.00 0.0132 179
5.00 0.0165 224
6.00 0.0198 268
7.00 0.0231 313
8.00 0.0264 358
9.00 0.0297 402
10.0 0.0330 447
20.0 0.0661 894
30.0 0.0991 1340
40.0 0.132 1790
50.0 0.165 2240
60.0 0.198 2680
70.0 0.231 3130
80.0 0.264 3580
90.0 0.297 4020
100 0.330 4470
200 0.661 8940
300 0.991 1.34 × 104
400 1.32 1.79 × 104
500 1.65 2.24 × 104
600 1.98 2.68 × 104
700 2.31 3.13 × 104
800 2.64 3.58 × 104
900 2.97 4.02 × 104
1000 3.30 4.47 × 104
1700 5.62 7.61 × 104
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 0.0467 281
3.00 0.0502 302
4.00 0.0669 402
5.00 0.0836 503
6.00 0.100 604
7.00 0.117 704
8.00 0.134 805
9.00 0.150 905
10.0 0.167 1010
20.0 0.334 2010
30.0 0.502 3020
40.0 0.669 4020
50.0 0.836 5030
60.0 1.00 6040
70.0 1.17 7040
80.0 1.34 8050
90.0 1.50 9050
100 1.67 1.01 × 104
200 3.34 2.01 × 104
239 4.00 2.41 × 104
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 0.148 499
3.00 0.159 537
4.00 0.211 715
5.00 0.264 894
6.00 0.317 1070
7.00 0.370 1250
8.00 0.423 1430
9.00 0.476 1610
10.0 0.528 1790
20.0 1.06 3580
30.0 1.59 5370
40.0 2.11 7150
50.0 2.64 8940
60.0 3.17 1.07 × 104
70.0 3.70 1.25 × 104
75.7 4.00 1.35 × 104
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 0.360 780
3.00 0.387 838
4.00 0.516 1120
5.00 0.645 1400
6.00 0.774 1680
7.00 0.903 1960
8.00 1.03 2240
9.00 1.16 2510
10.0 1.29 2790
20.0 2.58 5590
30.0 3.87 8380
31.0 4.00 8660
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 0.747 1120
3.00 0.803 1210
4.00 1.07 1610
5.00 1.34 2010
6.00 1.61 2410
7.00 1.87 2820
8.00 2.14 3220
9.00 2.41 3620
10.0 2.68 4020
15.0 4.00 6020
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 2.36 2000
3.00 2.54 2150
4.00 3.38 2860
4.73 4.00 3380
Additional Information
Related Pages
Glossary