eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Three Equal Spans: Aluminum I Beam: 12.00 × 14.292

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 12.00 × 14.292

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 = 317.33 in⁴) for the 12.00 × 14.292 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: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
14.3	4.22 × 10^-6	2.92
20.0	5.91 × 10^-6	4.08
30.0	8.86 × 10^-6	6.13
40.0	1.18 × 10^-5	8.17
50.0	1.48 × 10^-5	10.2
60.0	1.77 × 10^-5	12.3
70.0	2.07 × 10^-5	14.3
80.0	2.36 × 10^-5	16.3
90.0	2.66 × 10^-5	18.4
100	2.95 × 10^-5	20.4
200	5.91 × 10^-5	40.8
300	8.86 × 10^-5	61.3
400	1.18 × 10^-4	81.7
500	1.48 × 10^-4	102
600	1.77 × 10^-4	123
700	2.07 × 10^-4	143
800	2.36 × 10^-4	163
900	2.66 × 10^-4	184
1000	2.95 × 10^-4	204
2000	5.91 × 10^-4	408
3000	8.86 × 10^-4	613
4000	0.00118	817
5000	0.00148	1020
6000	0.00177	1230
7000	0.00207	1430
8000	0.00236	1630
9000	0.00266	1840
1.00 × 10⁴	0.00295	2040
2.00 × 10⁴	0.00591	4080
3.00 × 10⁴	0.00886	6130
4.00 × 10⁴	0.0118	8170
5.00 × 10⁴	0.0148	1.02 × 10⁴
6.00 × 10⁴	0.0177	1.23 × 10⁴
7.00 × 10⁴	0.0207	1.43 × 10⁴
8.00 × 10⁴	0.0236	1.63 × 10⁴
9.00 × 10⁴	0.0266	1.84 × 10⁴
1.00 × 10⁵	0.0295	2.04 × 10⁴
2.00 × 10⁵	0.0591	4.08 × 10⁴
3.00 × 10⁵	0.0886	6.13 × 10⁴
3.73 × 10⁵	0.110	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
14.3	3.26 × 10^-5	8.11
20.0	4.56 × 10^-5	11.3
30.0	6.84 × 10^-5	17.0
40.0	9.12 × 10^-5	22.7
50.0	1.14 × 10^-4	28.4
60.0	1.37 × 10^-4	34.0
70.0	1.60 × 10^-4	39.7
80.0	1.82 × 10^-4	45.4
90.0	2.05 × 10^-4	51.1
100	2.28 × 10^-4	56.7
200	4.56 × 10^-4	113
300	6.84 × 10^-4	170
400	9.12 × 10^-4	227
500	0.00114	284
600	0.00137	340
700	0.00160	397
800	0.00182	454
900	0.00205	511
1000	0.00228	567
2000	0.00456	1130
3000	0.00684	1700
4000	0.00912	2270
5000	0.0114	2840
6000	0.0137	3400
7000	0.0160	3970
8000	0.0182	4540
9000	0.0205	5110
1.00 × 10⁴	0.0228	5670
2.00 × 10⁴	0.0456	1.13 × 10⁴
3.00 × 10⁴	0.0684	1.70 × 10⁴
4.00 × 10⁴	0.0912	2.27 × 10⁴
5.00 × 10⁴	0.114	2.84 × 10⁴
6.00 × 10⁴	0.137	3.40 × 10⁴
7.00 × 10⁴	0.160	3.97 × 10⁴
8.00 × 10⁴	0.182	4.54 × 10⁴
9.00 × 10⁴	0.205	5.11 × 10⁴
1.00 × 10⁵	0.228	5.67 × 10⁴
1.34 × 10⁵	0.306	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
14.3	5.21 × 10^-4	32.4
20.0	7.29 × 10^-4	45.4
30.0	0.00109	68.1
40.0	0.00146	90.8
50.0	0.00182	113
60.0	0.00219	136
70.0	0.00255	159
80.0	0.00292	182
90.0	0.00328	204
100	0.00365	227
200	0.00729	454
300	0.0109	681
400	0.0146	908
500	0.0182	1130
600	0.0219	1360
700	0.0255	1590
800	0.0292	1820
900	0.0328	2040
1000	0.0365	2270
2000	0.0729	4540
3000	0.109	6810
4000	0.146	9080
5000	0.182	1.13 × 10⁴
6000	0.219	1.36 × 10⁴
7000	0.255	1.59 × 10⁴
8000	0.292	1.82 × 10⁴
9000	0.328	2.04 × 10⁴
1.00 × 10⁴	0.365	2.27 × 10⁴
2.00 × 10⁴	0.729	4.54 × 10⁴
3.00 × 10⁴	1.09	6.81 × 10⁴
3.36 × 10⁴	1.22	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.00264	73.0
20.0	0.00369	102
30.0	0.00554	153
40.0	0.00739	204
50.0	0.00923	255
60.0	0.0111	306
70.0	0.0129	357
80.0	0.0148	408
90.0	0.0166	459
100	0.0185	511
200	0.0369	1020
300	0.0554	1530
400	0.0739	2040
500	0.0923	2550
600	0.111	3060
700	0.129	3570
800	0.148	4080
900	0.166	4590
1000	0.185	5110
2000	0.369	1.02 × 10⁴
3000	0.554	1.53 × 10⁴
4000	0.739	2.04 × 10⁴
5000	0.923	2.55 × 10⁴
6000	1.11	3.06 × 10⁴
7000	1.29	3.57 × 10⁴
8000	1.48	4.08 × 10⁴
9000	1.66	4.59 × 10⁴
1.00 × 10⁴	1.85	5.11 × 10⁴
1.49 × 10⁴	2.75	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.00834	130
20.0	0.0117	182
30.0	0.0175	272
40.0	0.0233	363
50.0	0.0292	454
60.0	0.0350	545
70.0	0.0408	635
80.0	0.0467	726
90.0	0.0525	817
100	0.0584	908
200	0.117	1820
300	0.175	2720
400	0.233	3630
500	0.292	4540
600	0.350	5450
700	0.408	6350
800	0.467	7260
900	0.525	8170
1000	0.584	9080
2000	1.17	1.82 × 10⁴
3000	1.75	2.72 × 10⁴
4000	2.33	3.63 × 10⁴
5000	2.92	4.54 × 10⁴
6000	3.50	5.45 × 10⁴
7000	4.08	6.35 × 10⁴
8000	4.67	7.26 × 10⁴
8390	4.90	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.0204	203
20.0	0.0285	284
30.0	0.0427	425
40.0	0.0570	567
50.0	0.0712	709
60.0	0.0855	851
70.0	0.0997	993
80.0	0.114	1130
90.0	0.128	1280
100	0.142	1420
200	0.285	2840
300	0.427	4250
400	0.570	5670
500	0.712	7090
600	0.855	8510
700	0.997	9930
800	1.14	1.13 × 10⁴
900	1.28	1.28 × 10⁴
1000	1.42	1.42 × 10⁴
2000	2.85	2.84 × 10⁴
3000	4.27	4.25 × 10⁴
4000	5.70	5.67 × 10⁴
5000	7.12	7.09 × 10⁴
5370	7.65	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.0422	292
20.0	0.0591	408
30.0	0.0886	613
40.0	0.118	817
50.0	0.148	1020
60.0	0.177	1230
70.0	0.207	1430
80.0	0.236	1630
90.0	0.266	1840
100	0.295	2040
200	0.591	4080
300	0.886	6130
400	1.18	8170
500	1.48	1.02 × 10⁴
600	1.77	1.23 × 10⁴
700	2.07	1.43 × 10⁴
800	2.36	1.63 × 10⁴
900	2.66	1.84 × 10⁴
1000	2.95	2.04 × 10⁴
2000	5.91	4.08 × 10⁴
3000	8.86	6.13 × 10⁴
3730	11.0	7.61 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.133	519
20.0	0.187	726
30.0	0.280	1090
40.0	0.373	1450
50.0	0.467	1820
60.0	0.560	2180
70.0	0.654	2540
80.0	0.747	2900
90.0	0.840	3270
100	0.934	3630
200	1.87	7260
300	2.80	1.09 × 10⁴
400	3.73	1.45 × 10⁴
500	4.67	1.82 × 10⁴
600	5.60	2.18 × 10⁴
700	6.54	2.54 × 10⁴
800	7.47	2.90 × 10⁴
900	8.40	3.27 × 10⁴
1000	9.34	3.63 × 10⁴
1290	12.0	4.67 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.326	811
20.0	0.456	1130
30.0	0.684	1700
40.0	0.912	2270
50.0	1.14	2840
60.0	1.37	3400
70.0	1.60	3970
80.0	1.82	4540
90.0	2.05	5110
100	2.28	5670
200	4.56	1.13 × 10⁴
300	6.84	1.70 × 10⁴
400	9.12	2.27 × 10⁴
500	11.4	2.84 × 10⁴
526	12.0	2.99 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 60.0 ft
(lbf/ft)	(in)	(psi)
14.3	0.676	1170
20.0	0.945	1630
30.0	1.42	2450
40.0	1.89	3270
50.0	2.36	4080
60.0	2.84	4900
70.0	3.31	5720
80.0	3.78	6530
90.0	4.25	7350
100	4.73	8170
200	9.45	1.63 × 10⁴
254	12.0	2.07 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 70.0 ft
(lbf/ft)	(in)	(psi)
14.3	1.25	1590
20.0	1.75	2220
30.0	2.63	3340
40.0	3.50	4450
50.0	4.38	5560
60.0	5.25	6670
70.0	6.13	7780
80.0	7.01	8890
90.0	7.88	1.00 × 10⁴
100	8.76	1.11 × 10⁴
137	12.0	1.52 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 80.0 ft
(lbf/ft)	(in)	(psi)
14.3	2.14	2080
20.0	2.99	2900
30.0	4.48	4360
40.0	5.98	5810
50.0	7.47	7260
60.0	8.96	8710
70.0	10.5	1.02 × 10⁴
80.0	12.0	1.16 × 10⁴
80.3	12.0	1.17 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 90.0 ft
(lbf/ft)	(in)	(psi)
14.3	3.42	2630
20.0	4.79	3680
30.0	7.18	5510
40.0	9.57	7350
50.0	12.0	9190
50.1	12.0	9220

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 100 ft
(lbf/ft)	(in)	(psi)
14.3	5.21	3240
20.0	7.29	4540
30.0	10.9	6810
32.9	12.0	7470

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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