engineering fundamentals
Aluminum I Beam: 5.00 × 3.700
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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_mid (in) stress_max (psi)
3.70 1.91 × 10-5 8.96
4.00 2.06 × 10-5 9.68
5.00 2.58 × 10-5 12.1
6.00 3.09 × 10-5 14.5
7.00 3.61 × 10-5 16.9
8.00 4.12 × 10-5 19.4
9.00 4.64 × 10-5 21.8
10.0 5.15 × 10-5 24.2
20.0 1.03 × 10-4 48.4
30.0 1.55 × 10-4 72.6
40.0 2.06 × 10-4 96.8
50.0 2.58 × 10-4 121
60.0 3.09 × 10-4 145
70.0 3.61 × 10-4 169
80.0 4.12 × 10-4 194
90.0 4.64 × 10-4 218
100 5.15 × 10-4 242
200 0.00103 484
300 0.00155 726
400 0.00206 968
500 0.00258 1210
600 0.00309 1450
700 0.00361 1690
800 0.00412 1940
900 0.00464 2180
1000 0.00515 2420
2000 0.0103 4840
3000 0.0155 7260
4000 0.0206 9680
5000 0.0258 1.21 × 104
6000 0.0309 1.45 × 104
7000 0.0361 1.69 × 104
8000 0.0412 1.94 × 104
9000 0.0464 2.18 × 104
1.00 × 104 0.0515 2.42 × 104
2.00 × 104 0.103 4.84 × 104
3.00 × 104 0.155 7.26 × 104
3.15 × 104 0.162 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_mid (in) stress_max (psi)
3.70 1.47 × 10-4 24.9
4.00 1.59 × 10-4 26.9
5.00 1.99 × 10-4 33.6
6.00 2.38 × 10-4 40.4
7.00 2.78 × 10-4 47.1
8.00 3.18 × 10-4 53.8
9.00 3.58 × 10-4 60.5
10.0 3.97 × 10-4 67.3
20.0 7.95 × 10-4 135
30.0 0.00119 202
40.0 0.00159 269
50.0 0.00199 336
60.0 0.00238 404
70.0 0.00278 471
80.0 0.00318 538
90.0 0.00358 605
100 0.00397 673
200 0.00795 1350
300 0.0119 2020
400 0.0159 2690
500 0.0199 3360
600 0.0238 4040
700 0.0278 4710
800 0.0318 5380
900 0.0358 6050
1000 0.0397 6730
2000 0.0795 1.35 × 104
3000 0.119 2.02 × 104
4000 0.159 2.69 × 104
5000 0.199 3.36 × 104
6000 0.238 4.04 × 104
7000 0.278 4.71 × 104
8000 0.318 5.38 × 104
9000 0.358 6.05 × 104
1.00 × 104 0.397 6.73 × 104
1.13 × 104 0.450 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_mid (in) stress_max (psi)
3.70 0.00235 99.5
4.00 0.00254 108
5.00 0.00318 135
6.00 0.00382 161
7.00 0.00445 188
8.00 0.00509 215
9.00 0.00572 242
10.0 0.00636 269
20.0 0.0127 538
30.0 0.0191 807
40.0 0.0254 1080
50.0 0.0318 1350
60.0 0.0382 1610
70.0 0.0445 1880
80.0 0.0509 2150
90.0 0.0572 2420
100 0.0636 2690
200 0.127 5380
300 0.191 8070
400 0.254 1.08 × 104
500 0.318 1.35 × 104
600 0.382 1.61 × 104
700 0.445 1.88 × 104
800 0.509 2.15 × 104
900 0.572 2.42 × 104
1000 0.636 2.69 × 104
2000 1.27 5.38 × 104
2830 1.80 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_mid (in) stress_max (psi)
3.70 0.0119 224
4.00 0.0129 242
5.00 0.0161 303
6.00 0.0193 363
7.00 0.0225 424
8.00 0.0258 484
9.00 0.0290 545
10.0 0.0322 605
20.0 0.0644 1210
30.0 0.0966 1820
40.0 0.129 2420
50.0 0.161 3030
60.0 0.193 3630
70.0 0.225 4240
80.0 0.258 4840
90.0 0.290 5450
100 0.322 6050
200 0.644 1.21 × 104
300 0.966 1.82 × 104
400 1.29 2.42 × 104
500 1.61 3.03 × 104
600 1.93 3.63 × 104
700 2.25 4.24 × 104
800 2.58 4.84 × 104
900 2.90 5.45 × 104
1000 3.22 6.05 × 104
1260 4.05 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_mid (in) stress_max (psi)
3.70 0.0376 398
4.00 0.0407 430
5.00 0.0509 538
6.00 0.0610 646
7.00 0.0712 753
8.00 0.0814 861
9.00 0.0916 968
10.0 0.102 1080
20.0 0.203 2150
30.0 0.305 3230
40.0 0.407 4300
50.0 0.509 5380
60.0 0.610 6460
70.0 0.712 7530
80.0 0.814 8610
90.0 0.916 9680
100 1.02 1.08 × 104
200 2.03 2.15 × 104
300 3.05 3.23 × 104
400 4.07 4.30 × 104
491 5.00 5.29 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
3.70 0.0919 622
4.00 0.0994 673
5.00 0.124 841
6.00 0.149 1010
7.00 0.174 1180
8.00 0.199 1350
9.00 0.224 1510
10.0 0.248 1680
20.0 0.497 3360
30.0 0.745 5040
40.0 0.994 6730
50.0 1.24 8410
60.0 1.49 1.01 × 104
70.0 1.74 1.18 × 104
80.0 1.99 1.35 × 104
90.0 2.24 1.51 × 104
100 2.48 1.68 × 104
200 4.97 3.36 × 104
201 5.00 3.38 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
3.70 0.191 896
4.00 0.206 968
5.00 0.258 1210
6.00 0.309 1450
7.00 0.361 1690
8.00 0.412 1940
9.00 0.464 2180
10.0 0.515 2420
20.0 1.03 4840
30.0 1.55 7260
40.0 2.06 9680
50.0 2.58 1.21 × 104
60.0 3.09 1.45 × 104
70.0 3.61 1.69 × 104
80.0 4.12 1.94 × 104
90.0 4.64 2.18 × 104
97.1 5.00 2.35 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
3.70 0.602 1590
4.00 0.651 1720
5.00 0.814 2150
6.00 0.977 2580
7.00 1.14 3010
8.00 1.30 3440
9.00 1.47 3870
10.0 1.63 4300
20.0 3.26 8610
30.0 4.88 1.29 × 104
30.7 5.00 1.32 × 104
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
3.70 1.47 2490
4.00 1.59 2690
5.00 1.99 3360
6.00 2.38 4040
7.00 2.78 4710
8.00 3.18 5380
9.00 3.58 6050
10.0 3.97 6730
12.6 5.00 8460
Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
3.70 3.05 3580
4.00 3.30 3870
5.00 4.12 4840
6.00 4.94 5810
6.07 5.00 5880
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