eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Single Span: Aluminum I Beam: 4.00 × 2.793

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max

and the maximum normal stress stress_max

occur at the center 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	7.47 × 10^-5	11.2
3.00	8.03 × 10^-5	12.1
4.00	1.07 × 10^-4	16.1
5.00	1.34 × 10^-4	20.1
6.00	1.61 × 10^-4	24.1
7.00	1.87 × 10^-4	28.2
8.00	2.14 × 10^-4	32.2
9.00	2.41 × 10^-4	36.2
10.0	2.68 × 10^-4	40.2
20.0	5.35 × 10^-4	80.5
30.0	8.03 × 10^-4	121
40.0	0.00107	161
50.0	0.00134	201
60.0	0.00161	241
70.0	0.00187	282
80.0	0.00214	322
90.0	0.00241	362
100	0.00268	402
200	0.00535	805
300	0.00803	1210
400	0.0107	1610
500	0.0134	2010
600	0.0161	2410
700	0.0187	2820
800	0.0214	3220
900	0.0241	3620
1000	0.0268	4020
2000	0.0535	8050
3000	0.0803	1.21 × 10⁴
4000	0.107	1.61 × 10⁴
5000	0.134	2.01 × 10⁴
6000	0.161	2.41 × 10⁴
7000	0.187	2.82 × 10⁴
8000	0.214	3.22 × 10⁴
9000	0.241	3.62 × 10⁴
1.00 × 10⁴	0.268	4.02 × 10⁴
1.89 × 10⁴	0.506	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	5.77 × 10^-4	31.2
3.00	6.19 × 10^-4	33.5
4.00	8.26 × 10^-4	44.7
5.00	0.00103	55.9
6.00	0.00124	67.1
7.00	0.00144	78.2
8.00	0.00165	89.4
9.00	0.00186	101
10.0	0.00206	112
20.0	0.00413	224
30.0	0.00619	335
40.0	0.00826	447
50.0	0.0103	559
60.0	0.0124	671
70.0	0.0144	782
80.0	0.0165	894
90.0	0.0186	1010
100	0.0206	1120
200	0.0413	2240
300	0.0619	3350
400	0.0826	4470
500	0.103	5590
600	0.124	6710
700	0.144	7820
800	0.165	8940
900	0.186	1.01 × 10⁴
1000	0.206	1.12 × 10⁴
2000	0.413	2.24 × 10⁴
3000	0.619	3.35 × 10⁴
4000	0.826	4.47 × 10⁴
5000	1.03	5.59 × 10⁴
6000	1.24	6.71 × 10⁴
6810	1.41	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	0.00922	125
3.00	0.00991	134
4.00	0.0132	179
5.00	0.0165	224
6.00	0.0198	268
7.00	0.0231	313
8.00	0.0264	358
9.00	0.0297	402
10.0	0.0330	447
20.0	0.0661	894
30.0	0.0991	1340
40.0	0.132	1790
50.0	0.165	2240
60.0	0.198	2680
70.0	0.231	3130
80.0	0.264	3580
90.0	0.297	4020
100	0.330	4470
200	0.661	8940
300	0.991	1.34 × 10⁴
400	1.32	1.79 × 10⁴
500	1.65	2.24 × 10⁴
600	1.98	2.68 × 10⁴
700	2.31	3.13 × 10⁴
800	2.64	3.58 × 10⁴
900	2.97	4.02 × 10⁴
1000	3.30	4.47 × 10⁴
1700	5.62	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	0.0467	281
3.00	0.0502	302
4.00	0.0669	402
5.00	0.0836	503
6.00	0.100	604
7.00	0.117	704
8.00	0.134	805
9.00	0.150	905
10.0	0.167	1010
20.0	0.334	2010
30.0	0.502	3020
40.0	0.669	4020
50.0	0.836	5030
60.0	1.00	6040
70.0	1.17	7040
80.0	1.34	8050
90.0	1.50	9050
100	1.67	1.01 × 10⁴
200	3.34	2.01 × 10⁴
239	4.00	2.41 × 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	0.148	499
3.00	0.159	537
4.00	0.211	715
5.00	0.264	894
6.00	0.317	1070
7.00	0.370	1250
8.00	0.423	1430
9.00	0.476	1610
10.0	0.528	1790
20.0	1.06	3580
30.0	1.59	5370
40.0	2.11	7150
50.0	2.64	8940
60.0	3.17	1.07 × 10⁴
70.0	3.70	1.25 × 10⁴
75.7	4.00	1.35 × 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	0.360	780
3.00	0.387	838
4.00	0.516	1120
5.00	0.645	1400
6.00	0.774	1680
7.00	0.903	1960
8.00	1.03	2240
9.00	1.16	2510
10.0	1.29	2790
20.0	2.58	5590
30.0	3.87	8380
31.0	4.00	8660

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	0.747	1120
3.00	0.803	1210
4.00	1.07	1610
5.00	1.34	2010
6.00	1.61	2410
7.00	1.87	2820
8.00	2.14	3220
9.00	2.41	3620
10.0	2.68	4020
15.0	4.00	6020

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	2.36	2000
3.00	2.54	2150
4.00	3.38	2860
4.73	4.00	3380

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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