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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 100 ft
   
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 5.88 × 10-6 4.98
9.00 6.33 × 10-6 5.36
10.0 7.04 × 10-6 5.95
20.0 1.41 × 10-5 11.9
30.0 2.11 × 10-5 17.9
40.0 2.82 × 10-5 23.8
50.0 3.52 × 10-5 29.8
60.0 4.22 × 10-5 35.7
70.0 4.93 × 10-5 41.7
80.0 5.63 × 10-5 47.6
90.0 6.33 × 10-5 53.6
100 7.04 × 10-5 59.5
200 1.41 × 10-4 119
300 2.11 × 10-4 179
400 2.82 × 10-4 238
500 3.52 × 10-4 298
600 4.22 × 10-4 357
700 4.93 × 10-4 417
800 5.63 × 10-4 476
900 6.33 × 10-4 536
1000 7.04 × 10-4 595
2000 0.00141 1190
3000 0.00211 1790
4000 0.00282 2380
5000 0.00352 2980
6000 0.00422 3570
7000 0.00493 4170
8000 0.00563 4760
9000 0.00633 5360
1.00 × 104 0.00704 5950
2.00 × 104 0.0141 1.19 × 104
3.00 × 104 0.0211 1.79 × 104
4.00 × 104 0.0282 2.38 × 104
5.00 × 104 0.0352 2.98 × 104
6.00 × 104 0.0422 3.57 × 104
7.00 × 104 0.0493 4.17 × 104
8.00 × 104 0.0563 4.76 × 104
9.00 × 104 0.0633 5.36 × 104
1.00 × 105 0.0704 5.95 × 104
1.28 × 105 0.0900 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_mid (in) stress_max (psi)
8.36 4.54 × 10-5 13.8
9.00 4.89 × 10-5 14.9
10.0 5.43 × 10-5 16.5
20.0 1.09 × 10-4 33.1
30.0 1.63 × 10-4 49.6
40.0 2.17 × 10-4 66.2
50.0 2.72 × 10-4 82.7
60.0 3.26 × 10-4 99.2
70.0 3.80 × 10-4 116
80.0 4.34 × 10-4 132
90.0 4.89 × 10-4 149
100 5.43 × 10-4 165
200 0.00109 331
300 0.00163 496
400 0.00217 662
500 0.00272 827
600 0.00326 992
700 0.00380 1160
800 0.00434 1320
900 0.00489 1490
1000 0.00543 1650
2000 0.0109 3310
3000 0.0163 4960
4000 0.0217 6620
5000 0.0272 8270
6000 0.0326 9920
7000 0.0380 1.16 × 104
8000 0.0434 1.32 × 104
9000 0.0489 1.49 × 104
1.00 × 104 0.0543 1.65 × 104
2.00 × 104 0.109 3.31 × 104
3.00 × 104 0.163 4.96 × 104
4.00 × 104 0.217 6.62 × 104
4.60 × 104 0.250 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_mid (in) stress_max (psi)
8.36 7.26 × 10-4 55.3
9.00 7.82 × 10-4 59.5
10.0 8.69 × 10-4 66.2
20.0 0.00174 132
30.0 0.00261 198
40.0 0.00348 265
50.0 0.00434 331
60.0 0.00521 397
70.0 0.00608 463
80.0 0.00695 529
90.0 0.00782 595
100 0.00869 662
200 0.0174 1320
300 0.0261 1980
400 0.0348 2650
500 0.0434 3310
600 0.0521 3970
700 0.0608 4630
800 0.0695 5290
900 0.0782 5950
1000 0.0869 6620
2000 0.174 1.32 × 104
3000 0.261 1.98 × 104
4000 0.348 2.65 × 104
5000 0.434 3.31 × 104
6000 0.521 3.97 × 104
7000 0.608 4.63 × 104
8000 0.695 5.29 × 104
9000 0.782 5.95 × 104
1.00 × 104 0.869 6.62 × 104
1.15 × 104 1.00 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_mid (in) stress_max (psi)
8.36 0.00368 124
9.00 0.00396 134
10.0 0.00440 149
20.0 0.00880 298
30.0 0.0132 447
40.0 0.0176 595
50.0 0.0220 744
60.0 0.0264 893
70.0 0.0308 1040
80.0 0.0352 1190
90.0 0.0396 1340
100 0.0440 1490
200 0.0880 2980
300 0.132 4470
400 0.176 5950
500 0.220 7440
600 0.264 8930
700 0.308 1.04 × 104
800 0.352 1.19 × 104
900 0.396 1.34 × 104
1000 0.440 1.49 × 104
2000 0.880 2.98 × 104
3000 1.32 4.47 × 104
4000 1.76 5.95 × 104
5000 2.20 7.44 × 104
5110 2.25 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_mid (in) stress_max (psi)
8.36 0.0116 221
9.00 0.0125 238
10.0 0.0139 265
20.0 0.0278 529
30.0 0.0417 794
40.0 0.0556 1060
50.0 0.0695 1320
60.0 0.0834 1590
70.0 0.0973 1850
80.0 0.111 2120
90.0 0.125 2380
100 0.139 2650
200 0.278 5290
300 0.417 7940
400 0.556 1.06 × 104
500 0.695 1.32 × 104
600 0.834 1.59 × 104
700 0.973 1.85 × 104
800 1.11 2.12 × 104
900 1.25 2.38 × 104
1000 1.39 2.65 × 104
2000 2.78 5.29 × 104
2880 4.00 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_mid (in) stress_max (psi)
8.36 0.0284 346
9.00 0.0305 372
10.0 0.0339 414
20.0 0.0679 827
30.0 0.102 1240
40.0 0.136 1650
50.0 0.170 2070
60.0 0.204 2480
70.0 0.238 2890
80.0 0.272 3310
90.0 0.305 3720
100 0.339 4140
200 0.679 8270
300 1.02 1.24 × 104
400 1.36 1.65 × 104
500 1.70 2.07 × 104
600 2.04 2.48 × 104
700 2.38 2.89 × 104
800 2.72 3.31 × 104
900 3.05 3.72 × 104
1000 3.39 4.14 × 104
1840 6.25 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_mid (in) stress_max (psi)
8.36 0.0588 498
9.00 0.0633 536
10.0 0.0704 595
20.0 0.141 1190
30.0 0.211 1790
40.0 0.282 2380
50.0 0.352 2980
60.0 0.422 3570
70.0 0.493 4170
80.0 0.563 4760
90.0 0.633 5360
100 0.704 5950
200 1.41 1.19 × 104
300 2.11 1.79 × 104
400 2.82 2.38 × 104
500 3.52 2.98 × 104
600 4.22 3.57 × 104
700 4.93 4.17 × 104
800 5.63 4.76 × 104
900 6.33 5.36 × 104
1000 7.04 5.95 × 104
1280 9.00 7.61 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 0.186 885
9.00 0.200 953
10.0 0.222 1060
20.0 0.445 2120
30.0 0.667 3180
40.0 0.890 4230
50.0 1.11 5290
60.0 1.33 6350
70.0 1.56 7410
80.0 1.78 8470
90.0 2.00 9530
100 2.22 1.06 × 104
200 4.45 2.12 × 104
300 6.67 3.18 × 104
400 8.90 4.23 × 104
405 9.00 4.28 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 0.454 1380
9.00 0.489 1490
10.0 0.543 1650
20.0 1.09 3310
30.0 1.63 4960
40.0 2.17 6620
50.0 2.72 8270
60.0 3.26 9920
70.0 3.80 1.16 × 104
80.0 4.34 1.32 × 104
90.0 4.89 1.49 × 104
100 5.43 1.65 × 104
166 9.00 2.74 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 0.942 1990
9.00 1.01 2140
10.0 1.13 2380
20.0 2.25 4760
30.0 3.38 7150
40.0 4.50 9530
50.0 5.63 1.19 × 104
60.0 6.76 1.43 × 104
70.0 7.88 1.67 × 104
79.9 9.00 1.90 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 1.74 2710
9.00 1.88 2920
10.0 2.09 3240
20.0 4.17 6480
30.0 6.26 9730
40.0 8.35 1.30 × 104
43.1 9.00 1.40 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 2.98 3540
9.00 3.20 3810
10.0 3.56 4230
20.0 7.12 8470
25.3 9.00 1.07 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 4.77 4480
9.00 5.13 4820
10.0 5.70 5360
15.8 9.00 8460
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 100 ft
P (lbf/ft) w_mid (in) stress_max (psi)
8.36 7.26 5530
9.00 7.82 5950
10.0 8.69 6620
10.4 9.00 6850
Additional Information
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