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

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max

occuring at the second and fourth 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	3.91 × 10^-6	3.13
20.0	5.47 × 10^-6	4.37
30.0	8.21 × 10^-6	6.56
40.0	1.09 × 10^-5	8.75
50.0	1.37 × 10^-5	10.9
60.0	1.64 × 10^-5	13.1
70.0	1.92 × 10^-5	15.3
80.0	2.19 × 10^-5	17.5
90.0	2.46 × 10^-5	19.7
100	2.74 × 10^-5	21.9
200	5.47 × 10^-5	43.7
300	8.21 × 10^-5	65.6
400	1.09 × 10^-4	87.5
500	1.37 × 10^-4	109
600	1.64 × 10^-4	131
700	1.92 × 10^-4	153
800	2.19 × 10^-4	175
900	2.46 × 10^-4	197
1000	2.74 × 10^-4	219
2000	5.47 × 10^-4	437
3000	8.21 × 10^-4	656
4000	0.00109	875
5000	0.00137	1090
6000	0.00164	1310
7000	0.00192	1530
8000	0.00219	1750
9000	0.00246	1970
1.00 × 10⁴	0.00274	2190
2.00 × 10⁴	0.00547	4370
3.00 × 10⁴	0.00821	6560
4.00 × 10⁴	0.0109	8750
5.00 × 10⁴	0.0137	1.09 × 10⁴
6.00 × 10⁴	0.0164	1.31 × 10⁴
7.00 × 10⁴	0.0192	1.53 × 10⁴
8.00 × 10⁴	0.0219	1.75 × 10⁴
9.00 × 10⁴	0.0246	1.97 × 10⁴
1.00 × 10⁵	0.0274	2.19 × 10⁴
2.00 × 10⁵	0.0547	4.37 × 10⁴
3.00 × 10⁵	0.0821	6.56 × 10⁴
3.48 × 10⁵	0.0953	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	3.02 × 10^-5	8.68
20.0	4.22 × 10^-5	12.2
30.0	6.34 × 10^-5	18.2
40.0	8.45 × 10^-5	24.3
50.0	1.06 × 10^-4	30.4
60.0	1.27 × 10^-4	36.5
70.0	1.48 × 10^-4	42.5
80.0	1.69 × 10^-4	48.6
90.0	1.90 × 10^-4	54.7
100	2.11 × 10^-4	60.8
200	4.22 × 10^-4	122
300	6.34 × 10^-4	182
400	8.45 × 10^-4	243
500	0.00106	304
600	0.00127	365
700	0.00148	425
800	0.00169	486
900	0.00190	547
1000	0.00211	608
2000	0.00422	1220
3000	0.00634	1820
4000	0.00845	2430
5000	0.0106	3040
6000	0.0127	3650
7000	0.0148	4250
8000	0.0169	4860
9000	0.0190	5470
1.00 × 10⁴	0.0211	6080
2.00 × 10⁴	0.0422	1.22 × 10⁴
3.00 × 10⁴	0.0634	1.82 × 10⁴
4.00 × 10⁴	0.0845	2.43 × 10⁴
5.00 × 10⁴	0.106	3.04 × 10⁴
6.00 × 10⁴	0.127	3.65 × 10⁴
7.00 × 10⁴	0.148	4.25 × 10⁴
8.00 × 10⁴	0.169	4.86 × 10⁴
9.00 × 10⁴	0.190	5.47 × 10⁴
1.00 × 10⁵	0.211	6.08 × 10⁴
1.25 × 10⁵	0.265	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	4.83 × 10^-4	34.7
20.0	6.76 × 10^-4	48.6
30.0	0.00101	72.9
40.0	0.00135	97.2
50.0	0.00169	122
60.0	0.00203	146
70.0	0.00237	170
80.0	0.00270	194
90.0	0.00304	219
100	0.00338	243
200	0.00676	486
300	0.0101	729
400	0.0135	972
500	0.0169	1220
600	0.0203	1460
700	0.0237	1700
800	0.0270	1940
900	0.0304	2190
1000	0.0338	2430
2000	0.0676	4860
3000	0.101	7290
4000	0.135	9720
5000	0.169	1.22 × 10⁴
6000	0.203	1.46 × 10⁴
7000	0.237	1.70 × 10⁴
8000	0.270	1.94 × 10⁴
9000	0.304	2.19 × 10⁴
1.00 × 10⁴	0.338	2.43 × 10⁴
2.00 × 10⁴	0.676	4.86 × 10⁴
3.00 × 10⁴	1.01	7.29 × 10⁴
3.13 × 10⁴	1.06	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	0.00244	78.1
20.0	0.00342	109
30.0	0.00513	164
40.0	0.00684	219
50.0	0.00855	273
60.0	0.0103	328
70.0	0.0120	383
80.0	0.0137	437
90.0	0.0154	492
100	0.0171	547
200	0.0342	1090
300	0.0513	1640
400	0.0684	2190
500	0.0855	2730
600	0.103	3280
700	0.120	3830
800	0.137	4370
900	0.154	4920
1000	0.171	5470
2000	0.342	1.09 × 10⁴
3000	0.513	1.64 × 10⁴
4000	0.684	2.19 × 10⁴
5000	0.855	2.73 × 10⁴
6000	1.03	3.28 × 10⁴
7000	1.20	3.83 × 10⁴
8000	1.37	4.37 × 10⁴
9000	1.54	4.92 × 10⁴
1.00 × 10⁴	1.71	5.47 × 10⁴
1.39 × 10⁴	2.38	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	0.00773	139
20.0	0.0108	194
30.0	0.0162	292
40.0	0.0216	389
50.0	0.0270	486
60.0	0.0324	583
70.0	0.0378	680
80.0	0.0433	778
90.0	0.0487	875
100	0.0541	972
200	0.108	1940
300	0.162	2920
400	0.216	3890
500	0.270	4860
600	0.324	5830
700	0.378	6800
800	0.433	7780
900	0.487	8750
1000	0.541	9720
2000	1.08	1.94 × 10⁴
3000	1.62	2.92 × 10⁴
4000	2.16	3.89 × 10⁴
5000	2.70	4.86 × 10⁴
6000	3.24	5.83 × 10⁴
7000	3.78	6.80 × 10⁴
7830	4.24	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	0.0189	217
20.0	0.0264	304
30.0	0.0396	456
40.0	0.0528	608
50.0	0.0660	759
60.0	0.0792	911
70.0	0.0924	1060
80.0	0.106	1220
90.0	0.119	1370
100	0.132	1520
200	0.264	3040
300	0.396	4560
400	0.528	6080
500	0.660	7590
600	0.792	9110
700	0.924	1.06 × 10⁴
800	1.06	1.22 × 10⁴
900	1.19	1.37 × 10⁴
1000	1.32	1.52 × 10⁴
2000	2.64	3.04 × 10⁴
3000	3.96	4.56 × 10⁴
4000	5.28	6.08 × 10⁴
5000	6.60	7.59 × 10⁴
5010	6.62	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	0.0391	313
20.0	0.0547	437
30.0	0.0821	656
40.0	0.109	875
50.0	0.137	1090
60.0	0.164	1310
70.0	0.192	1530
80.0	0.219	1750
90.0	0.246	1970
100	0.274	2190
200	0.547	4370
300	0.821	6560
400	1.09	8750
500	1.37	1.09 × 10⁴
600	1.64	1.31 × 10⁴
700	1.92	1.53 × 10⁴
800	2.19	1.75 × 10⁴
900	2.46	1.97 × 10⁴
1000	2.74	2.19 × 10⁴
2000	5.47	4.37 × 10⁴
3000	8.21	6.56 × 10⁴
3480	9.53	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	0.124	556
20.0	0.173	778
30.0	0.260	1170
40.0	0.346	1560
50.0	0.433	1940
60.0	0.519	2330
70.0	0.606	2720
80.0	0.692	3110
90.0	0.779	3500
100	0.865	3890
200	1.73	7780
300	2.60	1.17 × 10⁴
400	3.46	1.56 × 10⁴
500	4.33	1.94 × 10⁴
600	5.19	2.33 × 10⁴
700	6.06	2.72 × 10⁴
800	6.92	3.11 × 10⁴
900	7.79	3.50 × 10⁴
1000	8.65	3.89 × 10⁴
1960	16.9	7.61 × 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	0.302	868
20.0	0.422	1220
30.0	0.634	1820
40.0	0.845	2430
50.0	1.06	3040
60.0	1.27	3650
70.0	1.48	4250
80.0	1.69	4860
90.0	1.90	5470
100	2.11	6080
200	4.22	1.22 × 10⁴
300	6.34	1.82 × 10⁴
400	8.45	2.43 × 10⁴
500	10.6	3.04 × 10⁴
568	12.0	3.45 × 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	0.626	1250
20.0	0.876	1750
30.0	1.31	2620
40.0	1.75	3500
50.0	2.19	4370
60.0	2.63	5250
70.0	3.07	6120
80.0	3.50	7000
90.0	3.94	7870
100	4.38	8750
200	8.76	1.75 × 10⁴
274	12.0	2.40 × 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	1.16	1700
20.0	1.62	2380
30.0	2.43	3570
40.0	3.25	4760
50.0	4.06	5950
60.0	4.87	7140
70.0	5.68	8330
80.0	6.49	9530
90.0	7.30	1.07 × 10⁴
100	8.11	1.19 × 10⁴
148	12.0	1.76 × 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	1.98	2220
20.0	2.77	3110
30.0	4.15	4670
40.0	5.54	6220
50.0	6.92	7780
60.0	8.30	9330
70.0	9.69	1.09 × 10⁴
80.0	11.1	1.24 × 10⁴
86.7	12.0	1.35 × 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	3.17	2810
20.0	4.43	3940
30.0	6.65	5900
40.0	8.87	7870
50.0	11.1	9840
54.1	12.0	1.07 × 10⁴

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 100 ft
(lbf/ft)	(in)	(psi)
14.3	4.83	3470
20.0	6.76	4860
30.0	10.1	7290
35.5	12.0	8630

Aluminum I Beam: 12.00 × 14.292 (12.00 inch tall × 14.292 lbf/ft)
L = 125 ft
(lbf/ft)	(in)	(psi)
14.3	11.8	5430
14.5	12.0	5520

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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