engineering fundamentals
Aluminum I Beam: 10.00 × 10.286
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Aluminum I Beam » 10.00 × 10.286
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 = 155.79 in4) for the 10.00 × 10.286 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 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 4.74 × 10-6 4.46
20.0 9.22 × 10-6 8.67
30.0 1.38 × 10-5 13.0
40.0 1.84 × 10-5 17.3
50.0 2.30 × 10-5 21.7
60.0 2.77 × 10-5 26.0
70.0 3.23 × 10-5 30.3
80.0 3.69 × 10-5 34.7
90.0 4.15 × 10-5 39.0
100 4.61 × 10-5 43.3
200 9.22 × 10-5 86.7
300 1.38 × 10-4 130
400 1.84 × 10-4 173
500 2.30 × 10-4 217
600 2.77 × 10-4 260
700 3.23 × 10-4 303
800 3.69 × 10-4 347
900 4.15 × 10-4 390
1000 4.61 × 10-4 433
2000 9.22 × 10-4 867
3000 0.00138 1300
4000 0.00184 1730
5000 0.00230 2170
6000 0.00277 2600
7000 0.00323 3030
8000 0.00369 3470
9000 0.00415 3900
1.00 × 104 0.00461 4330
2.00 × 104 0.00922 8670
3.00 × 104 0.0138 1.30 × 104
4.00 × 104 0.0184 1.73 × 104
5.00 × 104 0.0230 2.17 × 104
6.00 × 104 0.0277 2.60 × 104
7.00 × 104 0.0323 3.03 × 104
8.00 × 104 0.0369 3.47 × 104
9.00 × 104 0.0415 3.90 × 104
1.00 × 105 0.0461 4.33 × 104
1.76 × 105 0.0810 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 3.66 × 10-5 12.4
20.0 7.11 × 10-5 24.1
30.0 1.07 × 10-4 36.1
40.0 1.42 × 10-4 48.1
50.0 1.78 × 10-4 60.2
60.0 2.13 × 10-4 72.2
70.0 2.49 × 10-4 84.2
80.0 2.85 × 10-4 96.3
90.0 3.20 × 10-4 108
100 3.56 × 10-4 120
200 7.11 × 10-4 241
300 0.00107 361
400 0.00142 481
500 0.00178 602
600 0.00213 722
700 0.00249 842
800 0.00285 963
900 0.00320 1080
1000 0.00356 1200
2000 0.00711 2410
3000 0.0107 3610
4000 0.0142 4810
5000 0.0178 6020
6000 0.0213 7220
7000 0.0249 8420
8000 0.0285 9630
9000 0.0320 1.08 × 104
1.00 × 104 0.0356 1.20 × 104
2.00 × 104 0.0711 2.41 × 104
3.00 × 104 0.107 3.61 × 104
4.00 × 104 0.142 4.81 × 104
5.00 × 104 0.178 6.02 × 104
6.00 × 104 0.213 7.22 × 104
6.33 × 104 0.225 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 5.85 × 10-4 49.5
20.0 0.00114 96.3
30.0 0.00171 144
40.0 0.00228 193
50.0 0.00285 241
60.0 0.00341 289
70.0 0.00398 337
80.0 0.00455 385
90.0 0.00512 433
100 0.00569 481
200 0.0114 963
300 0.0171 1440
400 0.0228 1930
500 0.0285 2410
600 0.0341 2890
700 0.0398 3370
800 0.0455 3850
900 0.0512 4330
1000 0.0569 4810
2000 0.114 9630
3000 0.171 1.44 × 104
4000 0.228 1.93 × 104
5000 0.285 2.41 × 104
6000 0.341 2.89 × 104
7000 0.398 3.37 × 104
8000 0.455 3.85 × 104
9000 0.512 4.33 × 104
1.00 × 104 0.569 4.81 × 104
1.58 × 104 0.900 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.00296 111
20.0 0.00576 217
30.0 0.00864 325
40.0 0.0115 433
50.0 0.0144 542
60.0 0.0173 650
70.0 0.0202 758
80.0 0.0230 867
90.0 0.0259 975
100 0.0288 1080
200 0.0576 2170
300 0.0864 3250
400 0.115 4330
500 0.144 5420
600 0.173 6500
700 0.202 7580
800 0.230 8670
900 0.259 9750
1000 0.288 1.08 × 104
2000 0.576 2.17 × 104
3000 0.864 3.25 × 104
4000 1.15 4.33 × 104
5000 1.44 5.42 × 104
6000 1.73 6.50 × 104
7000 2.02 7.58 × 104
7030 2.03 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.00936 198
20.0 0.0182 385
30.0 0.0273 578
40.0 0.0364 770
50.0 0.0455 963
60.0 0.0546 1160
70.0 0.0637 1350
80.0 0.0728 1540
90.0 0.0819 1730
100 0.0910 1930
200 0.182 3850
300 0.273 5780
400 0.364 7700
500 0.455 9630
600 0.546 1.16 × 104
700 0.637 1.35 × 104
800 0.728 1.54 × 104
900 0.819 1.73 × 104
1000 0.910 1.93 × 104
2000 1.82 3.85 × 104
3000 2.73 5.78 × 104
3950 3.60 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.0229 309
20.0 0.0445 602
30.0 0.0667 903
40.0 0.0889 1200
50.0 0.111 1500
60.0 0.133 1810
70.0 0.156 2110
80.0 0.178 2410
90.0 0.200 2710
100 0.222 3010
200 0.445 6020
300 0.667 9030
400 0.889 1.20 × 104
500 1.11 1.50 × 104
600 1.33 1.81 × 104
700 1.56 2.11 × 104
800 1.78 2.41 × 104
900 2.00 2.71 × 104
1000 2.22 3.01 × 104
2000 4.45 6.02 × 104
2530 5.63 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.0474 446
20.0 0.0922 867
30.0 0.138 1300
40.0 0.184 1730
50.0 0.230 2170
60.0 0.277 2600
70.0 0.323 3030
80.0 0.369 3470
90.0 0.415 3900
100 0.461 4330
200 0.922 8670
300 1.38 1.30 × 104
400 1.84 1.73 × 104
500 2.30 2.17 × 104
600 2.77 2.60 × 104
700 3.23 3.03 × 104
800 3.69 3.47 × 104
900 4.15 3.90 × 104
1000 4.61 4.33 × 104
1760 8.10 7.61 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.150 792
20.0 0.291 1540
30.0 0.437 2310
40.0 0.583 3080
50.0 0.728 3850
60.0 0.874 4620
70.0 1.02 5390
80.0 1.17 6160
90.0 1.31 6930
100 1.46 7700
200 2.91 1.54 × 104
300 4.37 2.31 × 104
400 5.83 3.08 × 104
500 7.28 3.85 × 104
600 8.74 4.62 × 104
686 10.0 5.29 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.366 1240
20.0 0.711 2410
30.0 1.07 3610
40.0 1.42 4810
50.0 1.78 6020
60.0 2.13 7220
70.0 2.49 8420
80.0 2.85 9630
90.0 3.20 1.08 × 104
100 3.56 1.20 × 104
200 7.11 2.41 × 104
281 10.0 3.38 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 0.759 1780
20.0 1.47 3470
30.0 2.21 5200
40.0 2.95 6930
50.0 3.69 8670
60.0 4.42 1.04 × 104
70.0 5.16 1.21 × 104
80.0 5.90 1.39 × 104
90.0 6.64 1.56 × 104
100 7.37 1.73 × 104
136 10.0 2.35 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 1.41 2430
20.0 2.73 4720
30.0 4.10 7080
40.0 5.46 9440
50.0 6.83 1.18 × 104
60.0 8.20 1.42 × 104
70.0 9.56 1.65 × 104
73.2 10.0 1.73 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 2.40 3170
20.0 4.66 6160
30.0 6.99 9240
40.0 9.32 1.23 × 104
42.9 10.0 1.32 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 3.84 4010
20.0 7.47 7800
26.8 10.0 1.04 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 100 ft
P (lbf/ft) w_mid (in) stress_max (psi)
10.3 5.85 4950
17.6 10.0 8460
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