engineering fundamentals
Aluminum I Beam: 3.00 × 1.637
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 3.00 × 1.637
Aluminum 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 = 2.24 in4) for the 3.00 × 1.637 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 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 6.35 × 10-5 12.7
2.00 7.75 × 10-5 15.5
3.00 1.16 × 10-4 23.2
4.00 1.55 × 10-4 31.0
5.00 1.94 × 10-4 38.7
6.00 2.33 × 10-4 46.5
7.00 2.71 × 10-4 54.2
8.00 3.10 × 10-4 62.0
9.00 3.49 × 10-4 69.7
10.0 3.88 × 10-4 77.5
20.0 7.75 × 10-4 155
30.0 0.00116 232
40.0 0.00155 310
50.0 0.00194 387
60.0 0.00233 465
70.0 0.00271 542
80.0 0.00310 620
90.0 0.00349 697
100 0.00388 775
200 0.00775 1550
300 0.0116 2320
400 0.0155 3100
500 0.0194 3870
600 0.0233 4650
700 0.0271 5420
800 0.0310 6200
900 0.0349 6970
1000 0.0388 7750
2000 0.0775 1.55 × 104
3000 0.116 2.32 × 104
4000 0.155 3.10 × 104
5000 0.194 3.87 × 104
6000 0.233 4.65 × 104
7000 0.271 5.42 × 104
8000 0.310 6.20 × 104
9000 0.349 6.97 × 104
9830 0.381 7.61 × 104
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 4.90 × 10-4 35.2
2.00 5.98 × 10-4 43.0
3.00 8.98 × 10-4 64.5
4.00 0.00120 86.1
5.00 0.00150 108
6.00 0.00180 129
7.00 0.00209 151
8.00 0.00239 172
9.00 0.00269 194
10.0 0.00299 215
20.0 0.00598 430
30.0 0.00898 645
40.0 0.0120 861
50.0 0.0150 1080
60.0 0.0180 1290
70.0 0.0209 1510
80.0 0.0239 1720
90.0 0.0269 1940
100 0.0299 2150
200 0.0598 4300
300 0.0898 6450
400 0.120 8610
500 0.150 1.08 × 104
600 0.180 1.29 × 104
700 0.209 1.51 × 104
800 0.239 1.72 × 104
900 0.269 1.94 × 104
1000 0.299 2.15 × 104
2000 0.598 4.30 × 104
3000 0.898 6.45 × 104
3540 1.06 7.61 × 104
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 0.00784 141
2.00 0.00957 172
3.00 0.0144 258
4.00 0.0191 344
5.00 0.0239 430
6.00 0.0287 516
7.00 0.0335 602
8.00 0.0383 688
9.00 0.0431 775
10.0 0.0479 861
20.0 0.0957 1720
30.0 0.144 2580
40.0 0.191 3440
50.0 0.239 4300
60.0 0.287 5160
70.0 0.335 6020
80.0 0.383 6890
90.0 0.431 7750
100 0.479 8610
200 0.957 1.72 × 104
300 1.44 2.58 × 104
400 1.91 3.44 × 104
500 2.39 4.30 × 104
600 2.87 5.16 × 104
627 3.00 5.39 × 104
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 0.0397 317
2.00 0.0485 387
3.00 0.0727 581
4.00 0.0969 775
5.00 0.121 968
6.00 0.145 1160
7.00 0.170 1360
8.00 0.194 1550
9.00 0.218 1740
10.0 0.242 1940
20.0 0.485 3870
30.0 0.727 5810
40.0 0.969 7750
50.0 1.21 9680
60.0 1.45 1.16 × 104
70.0 1.70 1.36 × 104
80.0 1.94 1.55 × 104
90.0 2.18 1.74 × 104
100 2.42 1.94 × 104
124 3.00 2.40 × 104
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 0.125 564
2.00 0.153 688
3.00 0.230 1030
4.00 0.306 1380
5.00 0.383 1720
6.00 0.460 2070
7.00 0.536 2410
8.00 0.613 2750
9.00 0.689 3100
10.0 0.766 3440
20.0 1.53 6890
30.0 2.30 1.03 × 104
39.2 3.00 1.35 × 104
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 0.306 881
2.00 0.374 1080
3.00 0.561 1610
4.00 0.748 2150
5.00 0.935 2690
6.00 1.12 3230
7.00 1.31 3770
8.00 1.50 4300
9.00 1.68 4840
10.0 1.87 5380
16.0 3.00 8630
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 0.635 1270
2.00 0.775 1550
3.00 1.16 2320
4.00 1.55 3100
5.00 1.94 3870
6.00 2.33 4650
7.00 2.71 5420
7.74 3.00 5990
Aluminum I Beam: 3.00 × 1.637 (3.00 inch tall × 1.637 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
1.64 2.01 2250
2.00 2.45 2750
2.45 3.00 3370
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