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

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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	3.85 × 10^-5	8.88
3.00	5.00 × 10^-5	11.5
4.00	6.67 × 10^-5	15.4
5.00	8.34 × 10^-5	19.2
6.00	1.00 × 10^-4	23.1
7.00	1.17 × 10^-4	26.9
8.00	1.33 × 10^-4	30.7
9.00	1.50 × 10^-4	34.6
10.0	1.67 × 10^-4	38.4
20.0	3.34 × 10^-4	76.9
30.0	5.00 × 10^-4	115
40.0	6.67 × 10^-4	154
50.0	8.34 × 10^-4	192
60.0	0.00100	231
70.0	0.00117	269
80.0	0.00133	307
90.0	0.00150	346
100	0.00167	384
200	0.00334	769
300	0.00500	1150
400	0.00667	1540
500	0.00834	1920
600	0.0100	2310
700	0.0117	2690
800	0.0133	3070
900	0.0150	3460
1000	0.0167	3840
2000	0.0334	7690
3000	0.0500	1.15 × 10⁴
4000	0.0667	1.54 × 10⁴
5000	0.0834	1.92 × 10⁴
6000	0.100	2.31 × 10⁴
7000	0.117	2.69 × 10⁴
8000	0.133	3.07 × 10⁴
9000	0.150	3.46 × 10⁴
1.00 × 10⁴	0.167	3.84 × 10⁴
1.98 × 10⁴	0.330	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	2.97 × 10^-4	24.7
3.00	3.86 × 10^-4	32.0
4.00	5.15 × 10^-4	42.7
5.00	6.44 × 10^-4	53.4
6.00	7.72 × 10^-4	64.1
7.00	9.01 × 10^-4	74.7
8.00	0.00103	85.4
9.00	0.00116	96.1
10.0	0.00129	107
20.0	0.00257	214
30.0	0.00386	320
40.0	0.00515	427
50.0	0.00644	534
60.0	0.00772	641
70.0	0.00901	747
80.0	0.0103	854
90.0	0.0116	961
100	0.0129	1070
200	0.0257	2140
300	0.0386	3200
400	0.0515	4270
500	0.0644	5340
600	0.0772	6410
700	0.0901	7470
800	0.103	8540
900	0.116	9610
1000	0.129	1.07 × 10⁴
2000	0.257	2.14 × 10⁴
3000	0.386	3.20 × 10⁴
4000	0.515	4.27 × 10⁴
5000	0.644	5.34 × 10⁴
6000	0.772	6.41 × 10⁴
7000	0.901	7.47 × 10⁴
7130	0.918	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	0.00476	98.7
3.00	0.00618	128
4.00	0.00824	171
5.00	0.0103	214
6.00	0.0124	256
7.00	0.0144	299
8.00	0.0165	342
9.00	0.0185	384
10.0	0.0206	427
20.0	0.0412	854
30.0	0.0618	1280
40.0	0.0824	1710
50.0	0.103	2140
60.0	0.124	2560
70.0	0.144	2990
80.0	0.165	3420
90.0	0.185	3840
100	0.206	4270
200	0.412	8540
300	0.618	1.28 × 10⁴
400	0.824	1.71 × 10⁴
500	1.03	2.14 × 10⁴
600	1.24	2.56 × 10⁴
700	1.44	2.99 × 10⁴
800	1.65	3.42 × 10⁴
900	1.85	3.84 × 10⁴
1000	2.06	4.27 × 10⁴
1780	3.67	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	0.0241	222
3.00	0.0313	288
4.00	0.0417	384
5.00	0.0521	480
6.00	0.0626	577
7.00	0.0730	673
8.00	0.0834	769
9.00	0.0938	865
10.0	0.104	961
20.0	0.209	1920
30.0	0.313	2880
40.0	0.417	3840
50.0	0.521	4800
60.0	0.626	5770
70.0	0.730	6730
80.0	0.834	7690
90.0	0.938	8650
100	1.04	9610
200	2.09	1.92 × 10⁴
300	3.13	2.88 × 10⁴
384	4.00	3.69 × 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	0.0761	395
3.00	0.0989	512
4.00	0.132	683
5.00	0.165	854
6.00	0.198	1020
7.00	0.231	1200
8.00	0.264	1370
9.00	0.297	1540
10.0	0.330	1710
20.0	0.659	3420
30.0	0.989	5120
40.0	1.32	6830
50.0	1.65	8540
60.0	1.98	1.02 × 10⁴
70.0	2.31	1.20 × 10⁴
80.0	2.64	1.37 × 10⁴
90.0	2.97	1.54 × 10⁴
100	3.30	1.71 × 10⁴
121	4.00	2.07 × 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	0.186	617
3.00	0.241	801
4.00	0.322	1070
5.00	0.402	1330
6.00	0.483	1600
7.00	0.563	1870
8.00	0.644	2140
9.00	0.724	2400
10.0	0.804	2670
20.0	1.61	5340
30.0	2.41	8010
40.0	3.22	1.07 × 10⁴
49.7	4.00	1.33 × 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	0.385	888
3.00	0.500	1150
4.00	0.667	1540
5.00	0.834	1920
6.00	1.00	2310
7.00	1.17	2690
8.00	1.33	3070
9.00	1.50	3460
10.0	1.67	3840
20.0	3.34	7690
24.0	4.00	9220

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	1.22	1580
3.00	1.58	2050
4.00	2.11	2730
5.00	2.64	3420
6.00	3.16	4100
7.00	3.69	4780
7.59	4.00	5180

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	2.97	2470
3.00	3.86	3200
3.11	4.00	3320

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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