eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Three Equal Spans: Aluminum I Beam: 10.00 × 8.646

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 10.00 × 8.646

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 = 132.09 in⁴) for the 10.00 × 8.646 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: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
8.65	6.14 × 10^-6	3.53
9.00	6.39 × 10^-6	3.68
10.0	7.10 × 10^-6	4.09
20.0	1.42 × 10^-5	8.18
30.0	2.13 × 10^-5	12.3
40.0	2.84 × 10^-5	16.4
50.0	3.55 × 10^-5	20.4
60.0	4.26 × 10^-5	24.5
70.0	4.97 × 10^-5	28.6
80.0	5.68 × 10^-5	32.7
90.0	6.39 × 10^-5	36.8
100	7.10 × 10^-5	40.9
200	1.42 × 10^-4	81.8
300	2.13 × 10^-4	123
400	2.84 × 10^-4	164
500	3.55 × 10^-4	204
600	4.26 × 10^-4	245
700	4.97 × 10^-4	286
800	5.68 × 10^-4	327
900	6.39 × 10^-4	368
1000	7.10 × 10^-4	409
2000	0.00142	818
3000	0.00213	1230
4000	0.00284	1640
5000	0.00355	2040
6000	0.00426	2450
7000	0.00497	2860
8000	0.00568	3270
9000	0.00639	3680
1.00 × 10⁴	0.00710	4090
2.00 × 10⁴	0.0142	8180
3.00 × 10⁴	0.0213	1.23 × 10⁴
4.00 × 10⁴	0.0284	1.64 × 10⁴
5.00 × 10⁴	0.0355	2.04 × 10⁴
6.00 × 10⁴	0.0426	2.45 × 10⁴
7.00 × 10⁴	0.0497	2.86 × 10⁴
8.00 × 10⁴	0.0568	3.27 × 10⁴
9.00 × 10⁴	0.0639	3.68 × 10⁴
1.00 × 10⁵	0.0710	4.09 × 10⁴
1.86 × 10⁵	0.132	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
8.65	4.73 × 10^-5	9.82
9.00	4.93 × 10^-5	10.2
10.0	5.48 × 10^-5	11.4
20.0	1.10 × 10^-4	22.7
30.0	1.64 × 10^-4	34.1
40.0	2.19 × 10^-4	45.4
50.0	2.74 × 10^-4	56.8
60.0	3.29 × 10^-4	68.1
70.0	3.83 × 10^-4	79.5
80.0	4.38 × 10^-4	90.8
90.0	4.93 × 10^-4	102
100	5.48 × 10^-4	114
200	0.00110	227
300	0.00164	341
400	0.00219	454
500	0.00274	568
600	0.00329	681
700	0.00383	795
800	0.00438	908
900	0.00493	1020
1000	0.00548	1140
2000	0.0110	2270
3000	0.0164	3410
4000	0.0219	4540
5000	0.0274	5680
6000	0.0329	6810
7000	0.0383	7950
8000	0.0438	9080
9000	0.0493	1.02 × 10⁴
1.00 × 10⁴	0.0548	1.14 × 10⁴
2.00 × 10⁴	0.110	2.27 × 10⁴
3.00 × 10⁴	0.164	3.41 × 10⁴
4.00 × 10⁴	0.219	4.54 × 10⁴
5.00 × 10⁴	0.274	5.68 × 10⁴
6.00 × 10⁴	0.329	6.81 × 10⁴
6.71 × 10⁴	0.367	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
8.65	7.58 × 10^-4	39.3
9.00	7.89 × 10^-4	40.9
10.0	8.76 × 10^-4	45.4
20.0	0.00175	90.8
30.0	0.00263	136
40.0	0.00350	182
50.0	0.00438	227
60.0	0.00526	273
70.0	0.00613	318
80.0	0.00701	363
90.0	0.00789	409
100	0.00876	454
200	0.0175	908
300	0.0263	1360
400	0.0350	1820
500	0.0438	2270
600	0.0526	2730
700	0.0613	3180
800	0.0701	3630
900	0.0789	4090
1000	0.0876	4540
2000	0.175	9080
3000	0.263	1.36 × 10⁴
4000	0.350	1.82 × 10⁴
5000	0.438	2.27 × 10⁴
6000	0.526	2.73 × 10⁴
7000	0.613	3.18 × 10⁴
8000	0.701	3.63 × 10⁴
9000	0.789	4.09 × 10⁴
1.00 × 10⁴	0.876	4.54 × 10⁴
1.68 × 10⁴	1.47	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.00384	88.4
9.00	0.00399	92.0
10.0	0.00444	102
20.0	0.00887	204
30.0	0.0133	307
40.0	0.0177	409
50.0	0.0222	511
60.0	0.0266	613
70.0	0.0311	715
80.0	0.0355	818
90.0	0.0399	920
100	0.0444	1020
200	0.0887	2040
300	0.133	3070
400	0.177	4090
500	0.222	5110
600	0.266	6130
700	0.311	7150
800	0.355	8180
900	0.399	9200
1000	0.444	1.02 × 10⁴
2000	0.887	2.04 × 10⁴
3000	1.33	3.07 × 10⁴
4000	1.77	4.09 × 10⁴
5000	2.22	5.11 × 10⁴
6000	2.66	6.13 × 10⁴
7000	3.11	7.15 × 10⁴
7450	3.30	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0121	157
9.00	0.0126	164
10.0	0.0140	182
20.0	0.0280	363
30.0	0.0421	545
40.0	0.0561	727
50.0	0.0701	908
60.0	0.0841	1090
70.0	0.0981	1270
80.0	0.112	1450
90.0	0.126	1640
100	0.140	1820
200	0.280	3630
300	0.421	5450
400	0.561	7270
500	0.701	9080
600	0.841	1.09 × 10⁴
700	0.981	1.27 × 10⁴
800	1.12	1.45 × 10⁴
900	1.26	1.64 × 10⁴
1000	1.40	1.82 × 10⁴
2000	2.80	3.63 × 10⁴
3000	4.21	5.45 × 10⁴
4000	5.61	7.27 × 10⁴
4190	5.88	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0296	245
9.00	0.0308	256
10.0	0.0342	284
20.0	0.0685	568
30.0	0.103	852
40.0	0.137	1140
50.0	0.171	1420
60.0	0.205	1700
70.0	0.240	1990
80.0	0.274	2270
90.0	0.308	2560
100	0.342	2840
200	0.685	5680
300	1.03	8520
400	1.37	1.14 × 10⁴
500	1.71	1.42 × 10⁴
600	2.05	1.70 × 10⁴
700	2.40	1.99 × 10⁴
800	2.74	2.27 × 10⁴
900	3.08	2.56 × 10⁴
1000	3.42	2.84 × 10⁴
2000	6.85	5.68 × 10⁴
2680	9.18	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0614	353
9.00	0.0639	368
10.0	0.0710	409
20.0	0.142	818
30.0	0.213	1230
40.0	0.284	1640
50.0	0.355	2040
60.0	0.426	2450
70.0	0.497	2860
80.0	0.568	3270
90.0	0.639	3680
100	0.710	4090
200	1.42	8180
300	2.13	1.23 × 10⁴
400	2.84	1.64 × 10⁴
500	3.55	2.04 × 10⁴
600	4.26	2.45 × 10⁴
700	4.97	2.86 × 10⁴
800	5.68	3.27 × 10⁴
900	6.39	3.68 × 10⁴
1000	7.10	4.09 × 10⁴
1860	13.2	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.194	628
9.00	0.202	654
10.0	0.224	727
20.0	0.449	1450
30.0	0.673	2180
40.0	0.897	2910
50.0	1.12	3630
60.0	1.35	4360
70.0	1.57	5090
80.0	1.79	5810
90.0	2.02	6540
100	2.24	7270
200	4.49	1.45 × 10⁴
300	6.73	2.18 × 10⁴
400	8.97	2.91 × 10⁴
446	10.0	3.24 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.473	982
9.00	0.493	1020
10.0	0.548	1140
20.0	1.10	2270
30.0	1.64	3410
40.0	2.19	4540
50.0	2.74	5680
60.0	3.29	6810
70.0	3.83	7950
80.0	4.38	9080
90.0	4.93	1.02 × 10⁴
100	5.48	1.14 × 10⁴
183	10.0	2.07 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 60.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.982	1410
9.00	1.02	1470
10.0	1.14	1640
20.0	2.27	3270
30.0	3.41	4910
40.0	4.54	6540
50.0	5.68	8180
60.0	6.81	9810
70.0	7.95	1.14 × 10⁴
80.0	9.08	1.31 × 10⁴
88.1	10.0	1.44 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 70.0 ft
(lbf/ft)	(in)	(psi)
8.65	1.82	1920
9.00	1.89	2000
10.0	2.10	2230
20.0	4.21	4450
30.0	6.31	6680
40.0	8.42	8900
47.5	10.0	1.06 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 80.0 ft
(lbf/ft)	(in)	(psi)
8.65	3.10	2510
9.00	3.23	2620
10.0	3.59	2910
20.0	7.18	5810
27.9	10.0	8100

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 90.0 ft
(lbf/ft)	(in)	(psi)
8.65	4.97	3180
9.00	5.17	3310
10.0	5.75	3680
17.4	10.0	6400

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 100 ft
(lbf/ft)	(in)	(psi)
8.65	7.58	3930
9.00	7.89	4090
10.0	8.76	4540
11.4	10.0	5180

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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