eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Single Span: Aluminum I Beam: 4.00 × 2.311

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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	7.38 × 10^-5	11.1
3.00	9.58 × 10^-5	14.4
4.00	1.28 × 10^-4	19.2
5.00	1.60 × 10^-4	24.0
6.00	1.92 × 10^-4	28.8
7.00	2.24 × 10^-4	33.6
8.00	2.56 × 10^-4	38.4
9.00	2.87 × 10^-4	43.2
10.0	3.19 × 10^-4	48.0
20.0	6.39 × 10^-4	96.1
30.0	9.58 × 10^-4	144
40.0	0.00128	192
50.0	0.00160	240
60.0	0.00192	288
70.0	0.00224	336
80.0	0.00256	384
90.0	0.00287	432
100	0.00319	480
200	0.00639	961
300	0.00958	1440
400	0.0128	1920
500	0.0160	2400
600	0.0192	2880
700	0.0224	3360
800	0.0256	3840
900	0.0287	4320
1000	0.0319	4800
2000	0.0639	9610
3000	0.0958	1.44 × 10⁴
4000	0.128	1.92 × 10⁴
5000	0.160	2.40 × 10⁴
6000	0.192	2.88 × 10⁴
7000	0.224	3.36 × 10⁴
8000	0.256	3.84 × 10⁴
9000	0.287	4.32 × 10⁴
1.00 × 10⁴	0.319	4.80 × 10⁴
1.58 × 10⁴	0.506	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	5.70 × 10^-4	30.8
3.00	7.39 × 10^-4	40.0
4.00	9.86 × 10^-4	53.4
5.00	0.00123	66.7
6.00	0.00148	80.1
7.00	0.00173	93.4
8.00	0.00197	107
9.00	0.00222	120
10.0	0.00246	133
20.0	0.00493	267
30.0	0.00739	400
40.0	0.00986	534
50.0	0.0123	667
60.0	0.0148	801
70.0	0.0173	934
80.0	0.0197	1070
90.0	0.0222	1200
100	0.0246	1330
200	0.0493	2670
300	0.0739	4000
400	0.0986	5340
500	0.123	6670
600	0.148	8010
700	0.173	9340
800	0.197	1.07 × 10⁴
900	0.222	1.20 × 10⁴
1000	0.246	1.33 × 10⁴
2000	0.493	2.67 × 10⁴
3000	0.739	4.00 × 10⁴
4000	0.986	5.34 × 10⁴
5000	1.23	6.67 × 10⁴
5710	1.41	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	0.00911	123
3.00	0.0118	160
4.00	0.0158	214
5.00	0.0197	267
6.00	0.0237	320
7.00	0.0276	374
8.00	0.0315	427
9.00	0.0355	480
10.0	0.0394	534
20.0	0.0789	1070
30.0	0.118	1600
40.0	0.158	2140
50.0	0.197	2670
60.0	0.237	3200
70.0	0.276	3740
80.0	0.315	4270
90.0	0.355	4800
100	0.394	5340
200	0.789	1.07 × 10⁴
300	1.18	1.60 × 10⁴
400	1.58	2.14 × 10⁴
500	1.97	2.67 × 10⁴
600	2.37	3.20 × 10⁴
700	2.76	3.74 × 10⁴
800	3.15	4.27 × 10⁴
900	3.55	4.80 × 10⁴
1000	3.94	5.34 × 10⁴
1430	5.62	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	0.0461	278
3.00	0.0599	360
4.00	0.0799	480
5.00	0.0998	601
6.00	0.120	721
7.00	0.140	841
8.00	0.160	961
9.00	0.180	1080
10.0	0.200	1200
20.0	0.399	2400
30.0	0.599	3600
40.0	0.799	4800
50.0	0.998	6010
60.0	1.20	7210
70.0	1.40	8410
80.0	1.60	9610
90.0	1.80	1.08 × 10⁴
100	2.00	1.20 × 10⁴
200	3.99	2.40 × 10⁴
200	4.00	2.41 × 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	0.146	493
3.00	0.189	641
4.00	0.252	854
5.00	0.315	1070
6.00	0.379	1280
7.00	0.442	1490
8.00	0.505	1710
9.00	0.568	1920
10.0	0.631	2140
20.0	1.26	4270
30.0	1.89	6410
40.0	2.52	8540
50.0	3.15	1.07 × 10⁴
60.0	3.79	1.28 × 10⁴
63.4	4.00	1.35 × 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	0.356	771
3.00	0.462	1000
4.00	0.616	1330
5.00	0.770	1670
6.00	0.924	2000
7.00	1.08	2340
8.00	1.23	2670
9.00	1.39	3000
10.0	1.54	3340
20.0	3.08	6670
26.0	4.00	8660

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	0.738	1110
3.00	0.958	1440
4.00	1.28	1920
5.00	1.60	2400
6.00	1.92	2880
7.00	2.24	3360
8.00	2.56	3840
9.00	2.87	4320
10.0	3.19	4800
12.5	4.00	6020

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	2.33	1970
3.00	3.03	2560
3.96	4.00	3380

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

Related Glossary Pages

Related Pages

Specific Beam Loading Case: Simply Supported: Uniform Load

Specific Beam Loading Case: Simply Supported: Uniform Load.

eFunda: Glossary: Materials: Alloys: Aluminum Alloy: AA 5050

This calculator computes the displacement of a simply-supported circular plate with free edge under a uniformly distributed load. ...

Engineering Fundamentals: Standard Beams

Database of geometric properties for standard steel and aluminum beams.

eFunda: Classical Lamination Theory

... the classical lamination theory is only valid for thin laminates (span a and b ... laminate acts as a single lamina with special integrated properties). ...

eFunda: Glossary: Materials: Alloys: Tool Steel: AISI H19

It is composed of (in weight percentage) 0.32-0.45% Carbon (C), 0.20-0.50% Manganese (Mn), 0.20-0.50% Silicon (Si), 4.00-4.75% Chromium (Cr), ...

Critical Load

Consider a long simply-supported column under an external axial load F, ... In general, columns do not always terminate with simply-supported ends. ...

Cantilever Beam Loading Options

Cantilever beams under different loading conditions, such as end load, end moment, intermediate load, uniformly distributed load, triangular load.

eFunda: Properties of Alloy Steel ASTM A387 Grade 5

Materials » Alloys » Copper Alloy » Wire » AWG-4 · Materials » Alloys » Steel » Alloy Steel » ASTM A562 · Materials » Alloys » Copper Alloy » Wire » AWG-43 ...

eFunda: Plate Calculator -- Clamped rectangular plate with ...

This calculator computes the maximum displacement and stress of a clamped (fixed) rectangular plate under a uniformly distributed load. ...

Engineering Fundamentals: Standard Beams

Database of geometric properties for beams with common cross sections.

Glossary

Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W14 × 74

Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W14 × 109

Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » ALuminum I Beam » 7.00 × 5.800

Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W14 × 90

Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W4 × 13

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

Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W6 × 25