engineering fundamentals
Aluminum I Beam: 5.00 × 3.700
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 5.00 × 3.700
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 = 13.94 in4) for the 5.00 × 3.700 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
L = 60 ft
   
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 2.31 × 10-5 7.68
4.00 2.49 × 10-5 8.30
5.00 3.12 × 10-5 10.4
6.00 3.74 × 10-5 12.4
7.00 4.36 × 10-5 14.5
8.00 4.98 × 10-5 16.6
9.00 5.61 × 10-5 18.7
10.0 6.23 × 10-5 20.7
20.0 1.25 × 10-4 41.5
30.0 1.87 × 10-4 62.2
40.0 2.49 × 10-4 83.0
50.0 3.12 × 10-4 104
60.0 3.74 × 10-4 124
70.0 4.36 × 10-4 145
80.0 4.98 × 10-4 166
90.0 5.61 × 10-4 187
100 6.23 × 10-4 207
200 0.00125 415
300 0.00187 622
400 0.00249 830
500 0.00312 1040
600 0.00374 1240
700 0.00436 1450
800 0.00498 1660
900 0.00561 1870
1000 0.00623 2070
2000 0.0125 4150
3000 0.0187 6220
4000 0.0249 8300
5000 0.0312 1.04 × 104
6000 0.0374 1.24 × 104
7000 0.0436 1.45 × 104
8000 0.0498 1.66 × 104
9000 0.0561 1.87 × 104
1.00 × 104 0.0623 2.07 × 104
2.00 × 104 0.125 4.15 × 104
3.00 × 104 0.187 6.22 × 104
3.67 × 104 0.229 7.61 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 1.78 × 10-4 21.3
4.00 1.92 × 10-4 23.0
5.00 2.40 × 10-4 28.8
6.00 2.88 × 10-4 34.6
7.00 3.37 × 10-4 40.3
8.00 3.85 × 10-4 46.1
9.00 4.33 × 10-4 51.9
10.0 4.81 × 10-4 57.6
20.0 9.62 × 10-4 115
30.0 0.00144 173
40.0 0.00192 230
50.0 0.00240 288
60.0 0.00288 346
70.0 0.00337 403
80.0 0.00385 461
90.0 0.00433 519
100 0.00481 576
200 0.00962 1150
300 0.0144 1730
400 0.0192 2300
500 0.0240 2880
600 0.0288 3460
700 0.0337 4030
800 0.0385 4610
900 0.0433 5190
1000 0.0481 5760
2000 0.0962 1.15 × 104
3000 0.144 1.73 × 104
4000 0.192 2.30 × 104
5000 0.240 2.88 × 104
6000 0.288 3.46 × 104
7000 0.337 4.03 × 104
8000 0.385 4.61 × 104
9000 0.433 5.19 × 104
1.00 × 104 0.481 5.76 × 104
1.32 × 104 0.635 7.61 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.00285 85.3
4.00 0.00308 92.2
5.00 0.00385 115
6.00 0.00462 138
7.00 0.00538 161
8.00 0.00615 184
9.00 0.00692 207
10.0 0.00769 230
20.0 0.0154 461
30.0 0.0231 691
40.0 0.0308 922
50.0 0.0385 1150
60.0 0.0462 1380
70.0 0.0538 1610
80.0 0.0615 1840
90.0 0.0692 2070
100 0.0769 2300
200 0.154 4610
300 0.231 6910
400 0.308 9220
500 0.385 1.15 × 104
600 0.462 1.38 × 104
700 0.538 1.61 × 104
800 0.615 1.84 × 104
900 0.692 2.07 × 104
1000 0.769 2.30 × 104
2000 1.54 4.61 × 104
3000 2.31 6.91 × 104
3300 2.54 7.61 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.0144 192
4.00 0.0156 207
5.00 0.0195 259
6.00 0.0234 311
7.00 0.0273 363
8.00 0.0312 415
9.00 0.0350 467
10.0 0.0389 519
20.0 0.0779 1040
30.0 0.117 1560
40.0 0.156 2070
50.0 0.195 2590
60.0 0.234 3110
70.0 0.273 3630
80.0 0.312 4150
90.0 0.350 4670
100 0.389 5190
200 0.779 1.04 × 104
300 1.17 1.56 × 104
400 1.56 2.07 × 104
500 1.95 2.59 × 104
600 2.34 3.11 × 104
700 2.73 3.63 × 104
800 3.12 4.15 × 104
900 3.50 4.67 × 104
1000 3.89 5.19 × 104
1470 5.72 7.61 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.0455 341
4.00 0.0492 369
5.00 0.0615 461
6.00 0.0738 553
7.00 0.0862 645
8.00 0.0985 738
9.00 0.111 830
10.0 0.123 922
20.0 0.246 1840
30.0 0.369 2770
40.0 0.492 3690
50.0 0.615 4610
60.0 0.738 5530
70.0 0.862 6450
80.0 0.985 7380
90.0 1.11 8300
100 1.23 9220
200 2.46 1.84 × 104
300 3.69 2.77 × 104
400 4.92 3.69 × 104
406 5.00 3.75 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.111 533
4.00 0.120 576
5.00 0.150 720
6.00 0.180 864
7.00 0.210 1010
8.00 0.240 1150
9.00 0.270 1300
10.0 0.300 1440
20.0 0.601 2880
30.0 0.901 4320
40.0 1.20 5760
50.0 1.50 7200
60.0 1.80 8640
70.0 2.10 1.01 × 104
80.0 2.40 1.15 × 104
90.0 2.70 1.30 × 104
100 3.00 1.44 × 104
166 5.00 2.40 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.231 768
4.00 0.249 830
5.00 0.312 1040
6.00 0.374 1240
7.00 0.436 1450
8.00 0.498 1660
9.00 0.561 1870
10.0 0.623 2070
20.0 1.25 4150
30.0 1.87 6220
40.0 2.49 8300
50.0 3.12 1.04 × 104
60.0 3.74 1.24 × 104
70.0 4.36 1.45 × 104
80.0 4.98 1.66 × 104
80.2 5.00 1.66 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 0.729 1360
4.00 0.788 1480
5.00 0.985 1840
6.00 1.18 2210
7.00 1.38 2580
8.00 1.58 2950
9.00 1.77 3320
10.0 1.97 3690
20.0 3.94 7380
25.4 5.00 9360
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 1.78 2130
4.00 1.92 2300
5.00 2.40 2880
6.00 2.88 3460
7.00 3.37 4030
8.00 3.85 4610
9.00 4.33 5190
10.0 4.81 5760
10.4 5.00 5990
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
3.70 3.69 3070
4.00 3.99 3320
5.00 4.98 4150
5.02 5.00 4160
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