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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 10.00 × 8.646
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 = 132.09 in4) for the 10.00 × 8.646 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: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 6.14 × 10-6 3.53
9.00 6.39 × 10-6 3.68
10.0 7.10 × 10-6 4.09
20.0 1.42 × 10-5 8.18
30.0 2.13 × 10-5 12.3
40.0 2.84 × 10-5 16.4
50.0 3.55 × 10-5 20.4
60.0 4.26 × 10-5 24.5
70.0 4.97 × 10-5 28.6
80.0 5.68 × 10-5 32.7
90.0 6.39 × 10-5 36.8
100 7.10 × 10-5 40.9
200 1.42 × 10-4 81.8
300 2.13 × 10-4 123
400 2.84 × 10-4 164
500 3.55 × 10-4 204
600 4.26 × 10-4 245
700 4.97 × 10-4 286
800 5.68 × 10-4 327
900 6.39 × 10-4 368
1000 7.10 × 10-4 409
2000 0.00142 818
3000 0.00213 1230
4000 0.00284 1640
5000 0.00355 2040
6000 0.00426 2450
7000 0.00497 2860
8000 0.00568 3270
9000 0.00639 3680
1.00 × 104 0.00710 4090
2.00 × 104 0.0142 8180
3.00 × 104 0.0213 1.23 × 104
4.00 × 104 0.0284 1.64 × 104
5.00 × 104 0.0355 2.04 × 104
6.00 × 104 0.0426 2.45 × 104
7.00 × 104 0.0497 2.86 × 104
8.00 × 104 0.0568 3.27 × 104
9.00 × 104 0.0639 3.68 × 104
1.00 × 105 0.0710 4.09 × 104
1.86 × 105 0.132 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 4.73 × 10-5 9.82
9.00 4.93 × 10-5 10.2
10.0 5.48 × 10-5 11.4
20.0 1.10 × 10-4 22.7
30.0 1.64 × 10-4 34.1
40.0 2.19 × 10-4 45.4
50.0 2.74 × 10-4 56.8
60.0 3.29 × 10-4 68.1
70.0 3.83 × 10-4 79.5
80.0 4.38 × 10-4 90.8
90.0 4.93 × 10-4 102
100 5.48 × 10-4 114
200 0.00110 227
300 0.00164 341
400 0.00219 454
500 0.00274 568
600 0.00329 681
700 0.00383 795
800 0.00438 908
900 0.00493 1020
1000 0.00548 1140
2000 0.0110 2270
3000 0.0164 3410
4000 0.0219 4540
5000 0.0274 5680
6000 0.0329 6810
7000 0.0383 7950
8000 0.0438 9080
9000 0.0493 1.02 × 104
1.00 × 104 0.0548 1.14 × 104
2.00 × 104 0.110 2.27 × 104
3.00 × 104 0.164 3.41 × 104
4.00 × 104 0.219 4.54 × 104
5.00 × 104 0.274 5.68 × 104
6.00 × 104 0.329 6.81 × 104
6.71 × 104 0.367 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 7.58 × 10-4 39.3
9.00 7.89 × 10-4 40.9
10.0 8.76 × 10-4 45.4
20.0 0.00175 90.8
30.0 0.00263 136
40.0 0.00350 182
50.0 0.00438 227
60.0 0.00526 273
70.0 0.00613 318
80.0 0.00701 363
90.0 0.00789 409
100 0.00876 454
200 0.0175 908
300 0.0263 1360
400 0.0350 1820
500 0.0438 2270
600 0.0526 2730
700 0.0613 3180
800 0.0701 3630
900 0.0789 4090
1000 0.0876 4540
2000 0.175 9080
3000 0.263 1.36 × 104
4000 0.350 1.82 × 104
5000 0.438 2.27 × 104
6000 0.526 2.73 × 104
7000 0.613 3.18 × 104
8000 0.701 3.63 × 104
9000 0.789 4.09 × 104
1.00 × 104 0.876 4.54 × 104
1.68 × 104 1.47 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.00384 88.4
9.00 0.00399 92.0
10.0 0.00444 102
20.0 0.00887 204
30.0 0.0133 307
40.0 0.0177 409
50.0 0.0222 511
60.0 0.0266 613
70.0 0.0311 715
80.0 0.0355 818
90.0 0.0399 920
100 0.0444 1020
200 0.0887 2040
300 0.133 3070
400 0.177 4090
500 0.222 5110
600 0.266 6130
700 0.311 7150
800 0.355 8180
900 0.399 9200
1000 0.444 1.02 × 104
2000 0.887 2.04 × 104
3000 1.33 3.07 × 104
4000 1.77 4.09 × 104
5000 2.22 5.11 × 104
6000 2.66 6.13 × 104
7000 3.11 7.15 × 104
7450 3.30 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0121 157
9.00 0.0126 164
10.0 0.0140 182
20.0 0.0280 363
30.0 0.0421 545
40.0 0.0561 727
50.0 0.0701 908
60.0 0.0841 1090
70.0 0.0981 1270
80.0 0.112 1450
90.0 0.126 1640
100 0.140 1820
200 0.280 3630
300 0.421 5450
400 0.561 7270
500 0.701 9080
600 0.841 1.09 × 104
700 0.981 1.27 × 104
800 1.12 1.45 × 104
900 1.26 1.64 × 104
1000 1.40 1.82 × 104
2000 2.80 3.63 × 104
3000 4.21 5.45 × 104
4000 5.61 7.27 × 104
4190 5.88 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0296 245
9.00 0.0308 256
10.0 0.0342 284
20.0 0.0685 568
30.0 0.103 852
40.0 0.137 1140
50.0 0.171 1420
60.0 0.205 1700
70.0 0.240 1990
80.0 0.274 2270
90.0 0.308 2560
100 0.342 2840
200 0.685 5680
300 1.03 8520
400 1.37 1.14 × 104
500 1.71 1.42 × 104
600 2.05 1.70 × 104
700 2.40 1.99 × 104
800 2.74 2.27 × 104
900 3.08 2.56 × 104
1000 3.42 2.84 × 104
2000 6.85 5.68 × 104
2680 9.18 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.0614 353
9.00 0.0639 368
10.0 0.0710 409
20.0 0.142 818
30.0 0.213 1230
40.0 0.284 1640
50.0 0.355 2040
60.0 0.426 2450
70.0 0.497 2860
80.0 0.568 3270
90.0 0.639 3680
100 0.710 4090
200 1.42 8180
300 2.13 1.23 × 104
400 2.84 1.64 × 104
500 3.55 2.04 × 104
600 4.26 2.45 × 104
700 4.97 2.86 × 104
800 5.68 3.27 × 104
900 6.39 3.68 × 104
1000 7.10 4.09 × 104
1860 13.2 7.61 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.194 628
9.00 0.202 654
10.0 0.224 727
20.0 0.449 1450
30.0 0.673 2180
40.0 0.897 2910
50.0 1.12 3630
60.0 1.35 4360
70.0 1.57 5090
80.0 1.79 5810
90.0 2.02 6540
100 2.24 7270
200 4.49 1.45 × 104
300 6.73 2.18 × 104
400 8.97 2.91 × 104
446 10.0 3.24 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.473 982
9.00 0.493 1020
10.0 0.548 1140
20.0 1.10 2270
30.0 1.64 3410
40.0 2.19 4540
50.0 2.74 5680
60.0 3.29 6810
70.0 3.83 7950
80.0 4.38 9080
90.0 4.93 1.02 × 104
100 5.48 1.14 × 104
183 10.0 2.07 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 0.982 1410
9.00 1.02 1470
10.0 1.14 1640
20.0 2.27 3270
30.0 3.41 4910
40.0 4.54 6540
50.0 5.68 8180
60.0 6.81 9810
70.0 7.95 1.14 × 104
80.0 9.08 1.31 × 104
88.1 10.0 1.44 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 1.82 1920
9.00 1.89 2000
10.0 2.10 2230
20.0 4.21 4450
30.0 6.31 6680
40.0 8.42 8900
47.5 10.0 1.06 × 104
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 3.10 2510
9.00 3.23 2620
10.0 3.59 2910
20.0 7.18 5810
27.9 10.0 8100
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 4.97 3180
9.00 5.17 3310
10.0 5.75 3680
17.4 10.0 6400
Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.65 7.58 3930
9.00 7.89 4090
10.0 8.76 4540
11.4 10.0 5180
Additional Information
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