eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Two Equal Spans: Aluminum I Beam: 5.00 × 3.700

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 (I_xx = 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.

Aluminum I Beam: 5.00 × 3.700 (5.00 inch tall × 3.700 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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
(lbf/ft)	(in)	(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

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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