eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Three Equal Spans: Aluminum I Beam: 4.00 × 2.793

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 4.00 × 2.793

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 = 6.71 in⁴) for the 4.00 × 2.793 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 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
2.79	3.90 × 10^-5	8.99
3.00	4.19 × 10^-5	9.66
4.00	5.59 × 10^-5	12.9
5.00	6.99 × 10^-5	16.1
6.00	8.38 × 10^-5	19.3
7.00	9.78 × 10^-5	22.5
8.00	1.12 × 10^-4	25.8
9.00	1.26 × 10^-4	29.0
10.0	1.40 × 10^-4	32.2
20.0	2.79 × 10^-4	64.4
30.0	4.19 × 10^-4	96.6
40.0	5.59 × 10^-4	129
50.0	6.99 × 10^-4	161
60.0	8.38 × 10^-4	193
70.0	9.78 × 10^-4	225
80.0	0.00112	258
90.0	0.00126	290
100	0.00140	322
200	0.00279	644
300	0.00419	966
400	0.00559	1290
500	0.00699	1610
600	0.00838	1930
700	0.00978	2250
800	0.0112	2580
900	0.0126	2900
1000	0.0140	3220
2000	0.0279	6440
3000	0.0419	9660
4000	0.0559	1.29 × 10⁴
5000	0.0699	1.61 × 10⁴
6000	0.0838	1.93 × 10⁴
7000	0.0978	2.25 × 10⁴
8000	0.112	2.58 × 10⁴
9000	0.126	2.90 × 10⁴
1.00 × 10⁴	0.140	3.22 × 10⁴
2.00 × 10⁴	0.279	6.44 × 10⁴
2.37 × 10⁴	0.330	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
2.79	3.01 × 10^-4	25.0
3.00	3.23 × 10^-4	26.8
4.00	4.31 × 10^-4	35.8
5.00	5.39 × 10^-4	44.7
6.00	6.47 × 10^-4	53.7
7.00	7.55 × 10^-4	62.6
8.00	8.62 × 10^-4	71.5
9.00	9.70 × 10^-4	80.5
10.0	0.00108	89.4
20.0	0.00216	179
30.0	0.00323	268
40.0	0.00431	358
50.0	0.00539	447
60.0	0.00647	537
70.0	0.00755	626
80.0	0.00862	715
90.0	0.00970	805
100	0.0108	894
200	0.0216	1790
300	0.0323	2680
400	0.0431	3580
500	0.0539	4470
600	0.0647	5370
700	0.0755	6260
800	0.0862	7150
900	0.0970	8050
1000	0.108	8940
2000	0.216	1.79 × 10⁴
3000	0.323	2.68 × 10⁴
4000	0.431	3.58 × 10⁴
5000	0.539	4.47 × 10⁴
6000	0.647	5.37 × 10⁴
7000	0.755	6.26 × 10⁴
8000	0.862	7.15 × 10⁴
8520	0.918	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
2.79	0.00482	99.9
3.00	0.00517	107
4.00	0.00690	143
5.00	0.00862	179
6.00	0.0103	215
7.00	0.0121	250
8.00	0.0138	286
9.00	0.0155	322
10.0	0.0172	358
20.0	0.0345	715
30.0	0.0517	1070
40.0	0.0690	1430
50.0	0.0862	1790
60.0	0.103	2150
70.0	0.121	2500
80.0	0.138	2860
90.0	0.155	3220
100	0.172	3580
200	0.345	7150
300	0.517	1.07 × 10⁴
400	0.690	1.43 × 10⁴
500	0.862	1.79 × 10⁴
600	1.03	2.15 × 10⁴
700	1.21	2.50 × 10⁴
800	1.38	2.86 × 10⁴
900	1.55	3.22 × 10⁴
1000	1.72	3.58 × 10⁴
2000	3.45	7.15 × 10⁴
2130	3.67	7.61 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
2.79	0.0244	225
3.00	0.0262	241
4.00	0.0349	322
5.00	0.0437	402
6.00	0.0524	483
7.00	0.0611	563
8.00	0.0699	644
9.00	0.0786	724
10.0	0.0873	805
20.0	0.175	1610
30.0	0.262	2410
40.0	0.349	3220
50.0	0.437	4020
60.0	0.524	4830
70.0	0.611	5630
80.0	0.699	6440
90.0	0.786	7240
100	0.873	8050
200	1.75	1.61 × 10⁴
300	2.62	2.41 × 10⁴
400	3.49	3.22 × 10⁴
458	4.00	3.69 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
2.79	0.0771	400
3.00	0.0828	429
4.00	0.110	572
5.00	0.138	715
6.00	0.166	858
7.00	0.193	1000
8.00	0.221	1140
9.00	0.248	1290
10.0	0.276	1430
20.0	0.552	2860
30.0	0.828	4290
40.0	1.10	5720
50.0	1.38	7150
60.0	1.66	8580
70.0	1.93	1.00 × 10⁴
80.0	2.21	1.14 × 10⁴
90.0	2.48	1.29 × 10⁴
100	2.76	1.43 × 10⁴
145	4.00	2.07 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
2.79	0.188	624
3.00	0.202	671
4.00	0.270	894
5.00	0.337	1120
6.00	0.404	1340
7.00	0.472	1560
8.00	0.539	1790
9.00	0.606	2010
10.0	0.674	2240
20.0	1.35	4470
30.0	2.02	6710
40.0	2.70	8940
50.0	3.37	1.12 × 10⁴
59.4	4.00	1.33 × 10⁴

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
2.79	0.390	899
3.00	0.419	966
4.00	0.559	1290
5.00	0.699	1610
6.00	0.838	1930
7.00	0.978	2250
8.00	1.12	2580
9.00	1.26	2900
10.0	1.40	3220
20.0	2.79	6440
28.6	4.00	9220

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
2.79	1.23	1600
3.00	1.32	1720
4.00	1.77	2290
5.00	2.21	2860
6.00	2.65	3430
7.00	3.09	4010
8.00	3.53	4580
9.00	3.97	5150
9.06	4.00	5180

Aluminum I Beam: 4.00 × 2.793 (4.00 inch tall × 2.793 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
2.79	3.01	2500
3.00	3.23	2680
3.71	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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