eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Three Equal Spans: Aluminum I Beam: 3.00 × 2.030

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 3.00 × 2.030

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 (I_xx = 2.71 in⁴) for the 3.00 × 2.030 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: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
2.03	7.02 × 10^-5	12.1
3.00	1.04 × 10^-4	17.9
4.00	1.38 × 10^-4	23.9
5.00	1.73 × 10^-4	29.9
6.00	2.08 × 10^-4	35.9
7.00	2.42 × 10^-4	41.8
8.00	2.77 × 10^-4	47.8
9.00	3.11 × 10^-4	53.8
10.0	3.46 × 10^-4	59.8
20.0	6.92 × 10^-4	120
30.0	0.00104	179
40.0	0.00138	239
50.0	0.00173	299
60.0	0.00208	359
70.0	0.00242	418
80.0	0.00277	478
90.0	0.00311	538
100	0.00346	598
200	0.00692	1200
300	0.0104	1790
400	0.0138	2390
500	0.0173	2990
600	0.0208	3590
700	0.0242	4180
800	0.0277	4780
900	0.0311	5380
1000	0.0346	5980
2000	0.0692	1.20 × 10⁴
3000	0.104	1.79 × 10⁴
4000	0.138	2.39 × 10⁴
5000	0.173	2.99 × 10⁴
6000	0.208	3.59 × 10⁴
7000	0.242	4.18 × 10⁴
8000	0.277	4.78 × 10⁴
9000	0.311	5.38 × 10⁴
1.00 × 10⁴	0.346	5.98 × 10⁴
1.27 × 10⁴	0.441	7.61 × 10⁴

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
2.03	5.42 × 10^-4	33.7
3.00	8.01 × 10^-4	49.8
4.00	0.00107	66.4
5.00	0.00133	83.0
6.00	0.00160	99.6
7.00	0.00187	116
8.00	0.00214	133
9.00	0.00240	149
10.0	0.00267	166
20.0	0.00534	332
30.0	0.00801	498
40.0	0.0107	664
50.0	0.0133	830
60.0	0.0160	996
70.0	0.0187	1160
80.0	0.0214	1330
90.0	0.0240	1490
100	0.0267	1660
200	0.0534	3320
300	0.0801	4980
400	0.107	6640
500	0.133	8300
600	0.160	9960
700	0.187	1.16 × 10⁴
800	0.214	1.33 × 10⁴
900	0.240	1.49 × 10⁴
1000	0.267	1.66 × 10⁴
2000	0.534	3.32 × 10⁴
3000	0.801	4.98 × 10⁴
4000	1.07	6.64 × 10⁴
4590	1.22	7.61 × 10⁴

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
2.03	0.00867	135
3.00	0.0128	199
4.00	0.0171	266
5.00	0.0214	332
6.00	0.0256	399
7.00	0.0299	465
8.00	0.0342	531
9.00	0.0384	598
10.0	0.0427	664
20.0	0.0854	1330
30.0	0.128	1990
40.0	0.171	2660
50.0	0.214	3320
60.0	0.256	3990
70.0	0.299	4650
80.0	0.342	5310
90.0	0.384	5980
100	0.427	6640
200	0.854	1.33 × 10⁴
300	1.28	1.99 × 10⁴
400	1.71	2.66 × 10⁴
500	2.14	3.32 × 10⁴
600	2.56	3.99 × 10⁴
700	2.99	4.65 × 10⁴
702	3.00	4.67 × 10⁴

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
2.03	0.0439	303
3.00	0.0649	448
4.00	0.0865	598
5.00	0.108	747
6.00	0.130	897
7.00	0.151	1050
8.00	0.173	1200
9.00	0.195	1350
10.0	0.216	1490
20.0	0.432	2990
30.0	0.649	4480
40.0	0.865	5980
50.0	1.08	7470
60.0	1.30	8970
70.0	1.51	1.05 × 10⁴
80.0	1.73	1.20 × 10⁴
90.0	1.95	1.35 × 10⁴
100	2.16	1.49 × 10⁴
139	3.00	2.07 × 10⁴

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
2.03	0.139	539
3.00	0.205	797
4.00	0.273	1060
5.00	0.342	1330
6.00	0.410	1590
7.00	0.478	1860
8.00	0.547	2130
9.00	0.615	2390
10.0	0.683	2660
20.0	1.37	5310
30.0	2.05	7970
40.0	2.73	1.06 × 10⁴
43.9	3.00	1.17 × 10⁴

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
2.03	0.339	843
3.00	0.500	1250
4.00	0.667	1660
5.00	0.834	2080
6.00	1.00	2490
7.00	1.17	2910
8.00	1.33	3320
9.00	1.50	3740
10.0	1.67	4150
18.0	3.00	7470

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
2.03	0.702	1210
3.00	1.04	1790
4.00	1.38	2390
5.00	1.73	2990
6.00	2.08	3590
7.00	2.42	4180
8.00	2.77	4780
8.67	3.00	5180

Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
2.03	2.22	2160
2.74	3.00	2920

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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