eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Four Equal Spans: Aluminum I Beam: 12.00 × 11.672

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 12.00 × 11.672

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 = 255.57 in⁴) for the 12.00 × 11.672 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 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
11.7	3.97 × 10^-6	3.17
20.0	6.80 × 10^-6	5.43
30.0	1.02 × 10^-5	8.15
40.0	1.36 × 10^-5	10.9
50.0	1.70 × 10^-5	13.6
60.0	2.04 × 10^-5	16.3
70.0	2.38 × 10^-5	19.0
80.0	2.72 × 10^-5	21.7
90.0	3.06 × 10^-5	24.4
100	3.40 × 10^-5	27.2
200	6.80 × 10^-5	54.3
300	1.02 × 10^-4	81.5
400	1.36 × 10^-4	109
500	1.70 × 10^-4	136
600	2.04 × 10^-4	163
700	2.38 × 10^-4	190
800	2.72 × 10^-4	217
900	3.06 × 10^-4	244
1000	3.40 × 10^-4	272
2000	6.80 × 10^-4	543
3000	0.00102	815
4000	0.00136	1090
5000	0.00170	1360
6000	0.00204	1630
7000	0.00238	1900
8000	0.00272	2170
9000	0.00306	2440
1.00 × 10⁴	0.00340	2720
2.00 × 10⁴	0.00680	5430
3.00 × 10⁴	0.0102	8150
4.00 × 10⁴	0.0136	1.09 × 10⁴
5.00 × 10⁴	0.0170	1.36 × 10⁴
6.00 × 10⁴	0.0204	1.63 × 10⁴
7.00 × 10⁴	0.0238	1.90 × 10⁴
8.00 × 10⁴	0.0272	2.17 × 10⁴
9.00 × 10⁴	0.0306	2.44 × 10⁴
1.00 × 10⁵	0.0340	2.72 × 10⁴
2.00 × 10⁵	0.0680	5.43 × 10⁴
2.80 × 10⁵	0.0953	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
11.7	3.06 × 10^-5	8.80
20.0	5.24 × 10^-5	15.1
30.0	7.87 × 10^-5	22.6
40.0	1.05 × 10^-4	30.2
50.0	1.31 × 10^-4	37.7
60.0	1.57 × 10^-4	45.3
70.0	1.84 × 10^-4	52.8
80.0	2.10 × 10^-4	60.3
90.0	2.36 × 10^-4	67.9
100	2.62 × 10^-4	75.4
200	5.24 × 10^-4	151
300	7.87 × 10^-4	226
400	0.00105	302
500	0.00131	377
600	0.00157	453
700	0.00184	528
800	0.00210	603
900	0.00236	679
1000	0.00262	754
2000	0.00524	1510
3000	0.00787	2260
4000	0.0105	3020
5000	0.0131	3770
6000	0.0157	4530
7000	0.0184	5280
8000	0.0210	6030
9000	0.0236	6790
1.00 × 10⁴	0.0262	7540
2.00 × 10⁴	0.0524	1.51 × 10⁴
3.00 × 10⁴	0.0787	2.26 × 10⁴
4.00 × 10⁴	0.105	3.02 × 10⁴
5.00 × 10⁴	0.131	3.77 × 10⁴
6.00 × 10⁴	0.157	4.53 × 10⁴
7.00 × 10⁴	0.184	5.28 × 10⁴
8.00 × 10⁴	0.210	6.03 × 10⁴
9.00 × 10⁴	0.236	6.79 × 10⁴
1.00 × 10⁵	0.262	7.54 × 10⁴
1.01 × 10⁵	0.265	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
11.7	4.90 × 10^-4	35.2
20.0	8.39 × 10^-4	60.3
30.0	0.00126	90.5
40.0	0.00168	121
50.0	0.00210	151
60.0	0.00252	181
70.0	0.00294	211
80.0	0.00336	241
90.0	0.00378	272
100	0.00420	302
200	0.00839	603
300	0.0126	905
400	0.0168	1210
500	0.0210	1510
600	0.0252	1810
700	0.0294	2110
800	0.0336	2410
900	0.0378	2720
1000	0.0420	3020
2000	0.0839	6030
3000	0.126	9050
4000	0.168	1.21 × 10⁴
5000	0.210	1.51 × 10⁴
6000	0.252	1.81 × 10⁴
7000	0.294	2.11 × 10⁴
8000	0.336	2.41 × 10⁴
9000	0.378	2.72 × 10⁴
1.00 × 10⁴	0.420	3.02 × 10⁴
2.00 × 10⁴	0.839	6.03 × 10⁴
2.52 × 10⁴	1.06	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.00248	79.2
20.0	0.00425	136
30.0	0.00637	204
40.0	0.00850	272
50.0	0.0106	339
60.0	0.0127	407
70.0	0.0149	475
80.0	0.0170	543
90.0	0.0191	611
100	0.0212	679
200	0.0425	1360
300	0.0637	2040
400	0.0850	2720
500	0.106	3390
600	0.127	4070
700	0.149	4750
800	0.170	5430
900	0.191	6110
1000	0.212	6790
2000	0.425	1.36 × 10⁴
3000	0.637	2.04 × 10⁴
4000	0.850	2.72 × 10⁴
5000	1.06	3.39 × 10⁴
6000	1.27	4.07 × 10⁴
7000	1.49	4.75 × 10⁴
8000	1.70	5.43 × 10⁴
9000	1.91	6.11 × 10⁴
1.00 × 10⁴	2.12	6.79 × 10⁴
1.12 × 10⁴	2.38	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.00784	141
20.0	0.0134	241
30.0	0.0201	362
40.0	0.0269	483
50.0	0.0336	603
60.0	0.0403	724
70.0	0.0470	845
80.0	0.0537	966
90.0	0.0604	1090
100	0.0671	1210
200	0.134	2410
300	0.201	3620
400	0.269	4830
500	0.336	6030
600	0.403	7240
700	0.470	8450
800	0.537	9660
900	0.604	1.09 × 10⁴
1000	0.671	1.21 × 10⁴
2000	1.34	2.41 × 10⁴
3000	2.01	3.62 × 10⁴
4000	2.69	4.83 × 10⁴
5000	3.36	6.03 × 10⁴
6000	4.03	7.24 × 10⁴
6310	4.24	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.0191	220
20.0	0.0328	377
30.0	0.0492	566
40.0	0.0656	754
50.0	0.0819	943
60.0	0.0983	1130
70.0	0.115	1320
80.0	0.131	1510
90.0	0.148	1700
100	0.164	1890
200	0.328	3770
300	0.492	5660
400	0.656	7540
500	0.819	9430
600	0.983	1.13 × 10⁴
700	1.15	1.32 × 10⁴
800	1.31	1.51 × 10⁴
900	1.48	1.70 × 10⁴
1000	1.64	1.89 × 10⁴
2000	3.28	3.77 × 10⁴
3000	4.92	5.66 × 10⁴
4000	6.56	7.54 × 10⁴
4040	6.62	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.0397	317
20.0	0.0680	543
30.0	0.102	815
40.0	0.136	1090
50.0	0.170	1360
60.0	0.204	1630
70.0	0.238	1900
80.0	0.272	2170
90.0	0.306	2440
100	0.340	2720
200	0.680	5430
300	1.02	8150
400	1.36	1.09 × 10⁴
500	1.70	1.36 × 10⁴
600	2.04	1.63 × 10⁴
700	2.38	1.90 × 10⁴
800	2.72	2.17 × 10⁴
900	3.06	2.44 × 10⁴
1000	3.40	2.72 × 10⁴
2000	6.80	5.43 × 10⁴
2800	9.53	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.125	563
20.0	0.215	966
30.0	0.322	1450
40.0	0.430	1930
50.0	0.537	2410
60.0	0.644	2900
70.0	0.752	3380
80.0	0.859	3860
90.0	0.967	4340
100	1.07	4830
200	2.15	9660
300	3.22	1.45 × 10⁴
400	4.30	1.93 × 10⁴
500	5.37	2.41 × 10⁴
600	6.44	2.90 × 10⁴
700	7.52	3.38 × 10⁴
800	8.59	3.86 × 10⁴
900	9.67	4.34 × 10⁴
1000	10.7	4.83 × 10⁴
1580	16.9	7.61 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.306	880
20.0	0.524	1510
30.0	0.787	2260
40.0	1.05	3020
50.0	1.31	3770
60.0	1.57	4530
70.0	1.84	5280
80.0	2.10	6030
90.0	2.36	6790
100	2.62	7540
200	5.24	1.51 × 10⁴
300	7.87	2.26 × 10⁴
400	10.5	3.02 × 10⁴
458	12.0	3.45 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 60.0 ft
(lbf/ft)	(in)	(psi)
11.7	0.635	1270
20.0	1.09	2170
30.0	1.63	3260
40.0	2.18	4340
50.0	2.72	5430
60.0	3.26	6520
70.0	3.81	7600
80.0	4.35	8690
90.0	4.89	9780
100	5.44	1.09 × 10⁴
200	10.9	2.17 × 10⁴
221	12.0	2.40 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 70.0 ft
(lbf/ft)	(in)	(psi)
11.7	1.18	1730
20.0	2.01	2960
30.0	3.02	4440
40.0	4.03	5910
50.0	5.04	7390
60.0	6.04	8870
70.0	7.05	1.03 × 10⁴
80.0	8.06	1.18 × 10⁴
90.0	9.07	1.33 × 10⁴
100	10.1	1.48 × 10⁴
119	12.0	1.76 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 80.0 ft
(lbf/ft)	(in)	(psi)
11.7	2.01	2250
20.0	3.44	3860
30.0	5.16	5790
40.0	6.87	7720
50.0	8.59	9660
60.0	10.3	1.16 × 10⁴
69.8	12.0	1.35 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 90.0 ft
(lbf/ft)	(in)	(psi)
11.7	3.21	2850
20.0	5.51	4890
30.0	8.26	7330
40.0	11.0	9780
43.6	12.0	1.07 × 10⁴

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 100 ft
(lbf/ft)	(in)	(psi)
11.7	4.90	3520
20.0	8.39	6030
28.6	12.0	8630

Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 125 ft
(lbf/ft)	(in)	(psi)
11.7	12.0	5500
11.7	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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