engineering fundamentals
Aluminum I Beam: 9.00 × 8.361
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 9.00 × 8.361
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 (Ixx = 102.02 in4) for the 9.00 × 8.361 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
   
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 7.68 × 10-6 3.98
9.00 8.27 × 10-6 4.29
10.0 9.19 × 10-6 4.76
20.0 1.84 × 10-5 9.53
30.0 2.76 × 10-5 14.3
40.0 3.68 × 10-5 19.1
50.0 4.59 × 10-5 23.8
60.0 5.51 × 10-5 28.6
70.0 6.43 × 10-5 33.3
80.0 7.35 × 10-5 38.1
90.0 8.27 × 10-5 42.9
100 9.19 × 10-5 47.6
200 1.84 × 10-4 95.3
300 2.76 × 10-4 143
400 3.68 × 10-4 191
500 4.59 × 10-4 238
600 5.51 × 10-4 286
700 6.43 × 10-4 333
800 7.35 × 10-4 381
900 8.27 × 10-4 429
1000 9.19 × 10-4 476
2000 0.00184 953
3000 0.00276 1430
4000 0.00368 1910
5000 0.00459 2380
6000 0.00551 2860
7000 0.00643 3330
8000 0.00735 3810
9000 0.00827 4290
1.00 × 104 0.00919 4760
2.00 × 104 0.0184 9530
3.00 × 104 0.0276 1.43 × 104
4.00 × 104 0.0368 1.91 × 104
5.00 × 104 0.0459 2.38 × 104
6.00 × 104 0.0551 2.86 × 104
7.00 × 104 0.0643 3.33 × 104
8.00 × 104 0.0735 3.81 × 104
9.00 × 104 0.0827 4.29 × 104
1.00 × 105 0.0919 4.76 × 104
1.60 × 105 0.147 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 5.93 × 10-5 11.1
9.00 6.38 × 10-5 11.9
10.0 7.09 × 10-5 13.2
20.0 1.42 × 10-4 26.5
30.0 2.13 × 10-4 39.7
40.0 2.84 × 10-4 52.9
50.0 3.55 × 10-4 66.2
60.0 4.25 × 10-4 79.4
70.0 4.96 × 10-4 92.6
80.0 5.67 × 10-4 106
90.0 6.38 × 10-4 119
100 7.09 × 10-4 132
200 0.00142 265
300 0.00213 397
400 0.00284 529
500 0.00355 662
600 0.00425 794
700 0.00496 926
800 0.00567 1060
900 0.00638 1190
1000 0.00709 1320
2000 0.0142 2650
3000 0.0213 3970
4000 0.0284 5290
5000 0.0355 6620
6000 0.0425 7940
7000 0.0496 9260
8000 0.0567 1.06 × 104
9000 0.0638 1.19 × 104
1.00 × 104 0.0709 1.32 × 104
2.00 × 104 0.142 2.65 × 104
3.00 × 104 0.213 3.97 × 104
4.00 × 104 0.284 5.29 × 104
5.00 × 104 0.355 6.62 × 104
5.75 × 104 0.408 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 9.49 × 10-4 44.3
9.00 0.00102 47.6
10.0 0.00113 52.9
20.0 0.00227 106
30.0 0.00340 159
40.0 0.00454 212
50.0 0.00567 265
60.0 0.00681 318
70.0 0.00794 371
80.0 0.00908 423
90.0 0.0102 476
100 0.0113 529
200 0.0227 1060
300 0.0340 1590
400 0.0454 2120
500 0.0567 2650
600 0.0681 3180
700 0.0794 3710
800 0.0908 4230
900 0.102 4760
1000 0.113 5290
2000 0.227 1.06 × 104
3000 0.340 1.59 × 104
4000 0.454 2.12 × 104
5000 0.567 2.65 × 104
6000 0.681 3.18 × 104
7000 0.794 3.71 × 104
8000 0.908 4.23 × 104
9000 1.02 4.76 × 104
1.00 × 104 1.13 5.29 × 104
1.44 × 104 1.63 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.00480 99.6
9.00 0.00517 107
10.0 0.00574 119
20.0 0.0115 238
30.0 0.0172 357
40.0 0.0230 476
50.0 0.0287 595
60.0 0.0345 715
70.0 0.0402 834
80.0 0.0459 953
90.0 0.0517 1070
100 0.0574 1190
200 0.115 2380
300 0.172 3570
400 0.230 4760
500 0.287 5950
600 0.345 7150
700 0.402 8340
800 0.459 9530
900 0.517 1.07 × 104
1000 0.574 1.19 × 104
2000 1.15 2.38 × 104
3000 1.72 3.57 × 104
4000 2.30 4.76 × 104
5000 2.87 5.95 × 104
6000 3.45 7.15 × 104
6390 3.67 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.0152 177
9.00 0.0163 191
10.0 0.0182 212
20.0 0.0363 423
30.0 0.0545 635
40.0 0.0726 847
50.0 0.0908 1060
60.0 0.109 1270
70.0 0.127 1480
80.0 0.145 1690
90.0 0.163 1910
100 0.182 2120
200 0.363 4230
300 0.545 6350
400 0.726 8470
500 0.908 1.06 × 104
600 1.09 1.27 × 104
700 1.27 1.48 × 104
800 1.45 1.69 × 104
900 1.63 1.91 × 104
1000 1.82 2.12 × 104
2000 3.63 4.23 × 104
3000 5.45 6.35 × 104
3600 6.53 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.0371 277
9.00 0.0399 298
10.0 0.0443 331
20.0 0.0886 662
30.0 0.133 992
40.0 0.177 1320
50.0 0.222 1650
60.0 0.266 1980
70.0 0.310 2320
80.0 0.355 2650
90.0 0.399 2980
100 0.443 3310
200 0.886 6620
300 1.33 9920
400 1.77 1.32 × 104
500 2.22 1.65 × 104
600 2.66 1.98 × 104
700 3.10 2.32 × 104
800 3.55 2.65 × 104
900 3.99 2.98 × 104
1000 4.43 3.31 × 104
2000 8.86 6.62 × 104
2300 10.2 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.0768 398
9.00 0.0827 429
10.0 0.0919 476
20.0 0.184 953
30.0 0.276 1430
40.0 0.368 1910
50.0 0.459 2380
60.0 0.551 2860
70.0 0.643 3330
80.0 0.735 3810
90.0 0.827 4290
100 0.919 4760
200 1.84 9530
300 2.76 1.43 × 104
400 3.68 1.91 × 104
500 4.59 2.38 × 104
600 5.51 2.86 × 104
700 6.43 3.33 × 104
800 7.35 3.81 × 104
900 8.27 4.29 × 104
979 9.00 4.67 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.243 708
9.00 0.261 762
10.0 0.290 847
20.0 0.581 1690
30.0 0.871 2540
40.0 1.16 3390
50.0 1.45 4230
60.0 1.74 5080
70.0 2.03 5930
80.0 2.32 6780
90.0 2.61 7620
100 2.90 8470
200 5.81 1.69 × 104
300 8.71 2.54 × 104
310 9.00 2.62 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.593 1110
9.00 0.638 1190
10.0 0.709 1320
20.0 1.42 2650
30.0 2.13 3970
40.0 2.84 5290
50.0 3.55 6620
60.0 4.25 7940
70.0 4.96 9260
80.0 5.67 1.06 × 104
90.0 6.38 1.19 × 104
100 7.09 1.32 × 104
127 9.00 1.68 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 1.23 1590
9.00 1.32 1710
10.0 1.47 1910
20.0 2.94 3810
30.0 4.41 5720
40.0 5.88 7620
50.0 7.35 9530
60.0 8.82 1.14 × 104
61.2 9.00 1.17 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 2.28 2170
9.00 2.45 2330
10.0 2.72 2590
20.0 5.45 5190
30.0 8.17 7780
33.0 9.00 8570
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 3.89 2830
9.00 4.18 3050
10.0 4.65 3390
19.4 9.00 6560
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 6.22 3580
9.00 6.70 3860
10.0 7.44 4290
12.1 9.00 5180
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