engineering fundamentals
Aluminum I Beam: 4.00 × 2.793
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » 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 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 = 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
L = 50 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 3.90 × 10-5 8.99
3.00 4.19 × 10-5 9.66
4.00 5.59 × 10-5 12.9
5.00 6.99 × 10-5 16.1
6.00 8.38 × 10-5 19.3
7.00 9.78 × 10-5 22.5
8.00 1.12 × 10-4 25.8
9.00 1.26 × 10-4 29.0
10.0 1.40 × 10-4 32.2
20.0 2.79 × 10-4 64.4
30.0 4.19 × 10-4 96.6
40.0 5.59 × 10-4 129
50.0 6.99 × 10-4 161
60.0 8.38 × 10-4 193
70.0 9.78 × 10-4 225
80.0 0.00112 258
90.0 0.00126 290
100 0.00140 322
200 0.00279 644
300 0.00419 966
400 0.00559 1290
500 0.00699 1610
600 0.00838 1930
700 0.00978 2250
800 0.0112 2580
900 0.0126 2900
1000 0.0140 3220
2000 0.0279 6440
3000 0.0419 9660
4000 0.0559 1.29 × 104
5000 0.0699 1.61 × 104
6000 0.0838 1.93 × 104
7000 0.0978 2.25 × 104
8000 0.112 2.58 × 104
9000 0.126 2.90 × 104
1.00 × 104 0.140 3.22 × 104
2.00 × 104 0.279 6.44 × 104
2.37 × 104 0.330 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 3.01 × 10-4 25.0
3.00 3.23 × 10-4 26.8
4.00 4.31 × 10-4 35.8
5.00 5.39 × 10-4 44.7
6.00 6.47 × 10-4 53.7
7.00 7.55 × 10-4 62.6
8.00 8.62 × 10-4 71.5
9.00 9.70 × 10-4 80.5
10.0 0.00108 89.4
20.0 0.00216 179
30.0 0.00323 268
40.0 0.00431 358
50.0 0.00539 447
60.0 0.00647 537
70.0 0.00755 626
80.0 0.00862 715
90.0 0.00970 805
100 0.0108 894
200 0.0216 1790
300 0.0323 2680
400 0.0431 3580
500 0.0539 4470
600 0.0647 5370
700 0.0755 6260
800 0.0862 7150
900 0.0970 8050
1000 0.108 8940
2000 0.216 1.79 × 104
3000 0.323 2.68 × 104
4000 0.431 3.58 × 104
5000 0.539 4.47 × 104
6000 0.647 5.37 × 104
7000 0.755 6.26 × 104
8000 0.862 7.15 × 104
8520 0.918 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 0.00482 99.9
3.00 0.00517 107
4.00 0.00690 143
5.00 0.00862 179
6.00 0.0103 215
7.00 0.0121 250
8.00 0.0138 286
9.00 0.0155 322
10.0 0.0172 358
20.0 0.0345 715
30.0 0.0517 1070
40.0 0.0690 1430
50.0 0.0862 1790
60.0 0.103 2150
70.0 0.121 2500
80.0 0.138 2860
90.0 0.155 3220
100 0.172 3580
200 0.345 7150
300 0.517 1.07 × 104
400 0.690 1.43 × 104
500 0.862 1.79 × 104
600 1.03 2.15 × 104
700 1.21 2.50 × 104
800 1.38 2.86 × 104
900 1.55 3.22 × 104
1000 1.72 3.58 × 104
2000 3.45 7.15 × 104
2130 3.67 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 0.0244 225
3.00 0.0262 241
4.00 0.0349 322
5.00 0.0437 402
6.00 0.0524 483
7.00 0.0611 563
8.00 0.0699 644
9.00 0.0786 724
10.0 0.0873 805
20.0 0.175 1610
30.0 0.262 2410
40.0 0.349 3220
50.0 0.437 4020
60.0 0.524 4830
70.0 0.611 5630
80.0 0.699 6440
90.0 0.786 7240
100 0.873 8050
200 1.75 1.61 × 104
300 2.62 2.41 × 104
400 3.49 3.22 × 104
458 4.00 3.69 × 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 0.0771 400
3.00 0.0828 429
4.00 0.110 572
5.00 0.138 715
6.00 0.166 858
7.00 0.193 1000
8.00 0.221 1140
9.00 0.248 1290
10.0 0.276 1430
20.0 0.552 2860
30.0 0.828 4290
40.0 1.10 5720
50.0 1.38 7150
60.0 1.66 8580
70.0 1.93 1.00 × 104
80.0 2.21 1.14 × 104
90.0 2.48 1.29 × 104
100 2.76 1.43 × 104
145 4.00 2.07 × 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 0.188 624
3.00 0.202 671
4.00 0.270 894
5.00 0.337 1120
6.00 0.404 1340
7.00 0.472 1560
8.00 0.539 1790
9.00 0.606 2010
10.0 0.674 2240
20.0 1.35 4470
30.0 2.02 6710
40.0 2.70 8940
50.0 3.37 1.12 × 104
59.4 4.00 1.33 × 104
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 0.390 899
3.00 0.419 966
4.00 0.559 1290
5.00 0.699 1610
6.00 0.838 1930
7.00 0.978 2250
8.00 1.12 2580
9.00 1.26 2900
10.0 1.40 3220
20.0 2.79 6440
28.6 4.00 9220
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 1.23 1600
3.00 1.32 1720
4.00 1.77 2290
5.00 2.21 2860
6.00 2.65 3430
7.00 3.09 4010
8.00 3.53 4580
9.00 3.97 5150
9.06 4.00 5180
Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.79 3.01 2500
3.00 3.23 2680
3.71 4.00 3320
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