eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Four Equal Spans: Aluminum I Beam: 4.00 × 2.311

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 4.00 × 2.311

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 (I_xx = 5.62 in⁴) for the 4.00 × 2.311 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: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
2.31	3.57 × 10^-5	9.51
3.00	4.64 × 10^-5	12.3
4.00	6.18 × 10^-5	16.5
5.00	7.73 × 10^-5	20.6
6.00	9.27 × 10^-5	24.7
7.00	1.08 × 10^-4	28.8
8.00	1.24 × 10^-4	32.9
9.00	1.39 × 10^-4	37.0
10.0	1.55 × 10^-4	41.2
20.0	3.09 × 10^-4	82.3
30.0	4.64 × 10^-4	123
40.0	6.18 × 10^-4	165
50.0	7.73 × 10^-4	206
60.0	9.27 × 10^-4	247
70.0	0.00108	288
80.0	0.00124	329
90.0	0.00139	370
100	0.00155	412
200	0.00309	823
300	0.00464	1230
400	0.00618	1650
500	0.00773	2060
600	0.00927	2470
700	0.0108	2880
800	0.0124	3290
900	0.0139	3700
1000	0.0155	4120
2000	0.0309	8230
3000	0.0464	1.23 × 10⁴
4000	0.0618	1.65 × 10⁴
5000	0.0773	2.06 × 10⁴
6000	0.0927	2.47 × 10⁴
7000	0.108	2.88 × 10⁴
8000	0.124	3.29 × 10⁴
9000	0.139	3.70 × 10⁴
1.00 × 10⁴	0.155	4.12 × 10⁴
1.85 × 10⁴	0.286	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
2.31	2.76 × 10^-4	26.4
3.00	3.58 × 10^-4	34.3
4.00	4.77 × 10^-4	45.7
5.00	5.96 × 10^-4	57.2
6.00	7.15 × 10^-4	68.6
7.00	8.35 × 10^-4	80.0
8.00	9.54 × 10^-4	91.5
9.00	0.00107	103
10.0	0.00119	114
20.0	0.00238	229
30.0	0.00358	343
40.0	0.00477	457
50.0	0.00596	572
60.0	0.00715	686
70.0	0.00835	800
80.0	0.00954	915
90.0	0.0107	1030
100	0.0119	1140
200	0.0238	2290
300	0.0358	3430
400	0.0477	4570
500	0.0596	5720
600	0.0715	6860
700	0.0835	8000
800	0.0954	9150
900	0.107	1.03 × 10⁴
1000	0.119	1.14 × 10⁴
2000	0.238	2.29 × 10⁴
3000	0.358	3.43 × 10⁴
4000	0.477	4.57 × 10⁴
5000	0.596	5.72 × 10⁴
6000	0.715	6.86 × 10⁴
6660	0.794	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
2.31	0.00441	106
3.00	0.00572	137
4.00	0.00763	183
5.00	0.00954	229
6.00	0.0114	274
7.00	0.0134	320
8.00	0.0153	366
9.00	0.0172	412
10.0	0.0191	457
20.0	0.0382	915
30.0	0.0572	1370
40.0	0.0763	1830
50.0	0.0954	2290
60.0	0.114	2740
70.0	0.134	3200
80.0	0.153	3660
90.0	0.172	4120
100	0.191	4570
200	0.382	9150
300	0.572	1.37 × 10⁴
400	0.763	1.83 × 10⁴
500	0.954	2.29 × 10⁴
600	1.14	2.74 × 10⁴
700	1.34	3.20 × 10⁴
800	1.53	3.66 × 10⁴
900	1.72	4.12 × 10⁴
1000	1.91	4.57 × 10⁴
1660	3.18	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
2.31	0.0223	238
3.00	0.0290	309
4.00	0.0386	412
5.00	0.0483	515
6.00	0.0580	617
7.00	0.0676	720
8.00	0.0773	823
9.00	0.0869	926
10.0	0.0966	1030
20.0	0.193	2060
30.0	0.290	3090
40.0	0.386	4120
50.0	0.483	5150
60.0	0.580	6170
70.0	0.676	7200
80.0	0.773	8230
90.0	0.869	9260
100	0.966	1.03 × 10⁴
200	1.93	2.06 × 10⁴
300	2.90	3.09 × 10⁴
400	3.86	4.12 × 10⁴
414	4.00	4.26 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
2.31	0.0705	423
3.00	0.0916	549
4.00	0.122	732
5.00	0.153	915
6.00	0.183	1100
7.00	0.214	1280
8.00	0.244	1460
9.00	0.275	1650
10.0	0.305	1830
20.0	0.611	3660
30.0	0.916	5490
40.0	1.22	7320
50.0	1.53	9150
60.0	1.83	1.10 × 10⁴
70.0	2.14	1.28 × 10⁴
80.0	2.44	1.46 × 10⁴
90.0	2.75	1.65 × 10⁴
100	3.05	1.83 × 10⁴
131	4.00	2.40 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
2.31	0.172	661
3.00	0.224	858
4.00	0.298	1140
5.00	0.373	1430
6.00	0.447	1720
7.00	0.522	2000
8.00	0.596	2290
9.00	0.671	2570
10.0	0.745	2860
20.0	1.49	5720
30.0	2.24	8580
40.0	2.98	1.14 × 10⁴
50.0	3.73	1.43 × 10⁴
53.7	4.00	1.53 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
2.31	0.357	951
3.00	0.464	1230
4.00	0.618	1650
5.00	0.773	2060
6.00	0.927	2470
7.00	1.08	2880
8.00	1.24	3290
9.00	1.39	3700
10.0	1.55	4120
20.0	3.09	8230
25.9	4.00	1.07 × 10⁴

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
2.31	1.13	1690
3.00	1.47	2200
4.00	1.95	2930
5.00	2.44	3660
6.00	2.93	4390
7.00	3.42	5120
8.00	3.91	5850
8.19	4.00	5990

Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
2.31	2.76	2640
3.00	3.58	3430
3.35	4.00	3840

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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