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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 (Ixx = 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
L = 125 ft
   
Aluminum I Beam: 12.00 × 11.672 (12.00 inch tall × 11.672 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (psi)
11.7 12.0 5500
11.7 12.0 5520
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