engineering fundamentals
Aluminum I Beam: 10.00 × 10.286
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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_max (in) stress_max (psi)
10.3 6.19 × 10-6 3.57
20.0 1.20 × 10-5 6.93
30.0 1.81 × 10-5 10.4
40.0 2.41 × 10-5 13.9
50.0 3.01 × 10-5 17.3
60.0 3.61 × 10-5 20.8
70.0 4.21 × 10-5 24.3
80.0 4.81 × 10-5 27.7
90.0 5.42 × 10-5 31.2
100 6.02 × 10-5 34.7
200 1.20 × 10-4 69.3
300 1.81 × 10-4 104
400 2.41 × 10-4 139
500 3.01 × 10-4 173
600 3.61 × 10-4 208
700 4.21 × 10-4 243
800 4.81 × 10-4 277
900 5.42 × 10-4 312
1000 6.02 × 10-4 347
2000 0.00120 693
3000 0.00181 1040
4000 0.00241 1390
5000 0.00301 1730
6000 0.00361 2080
7000 0.00421 2430
8000 0.00481 2770
9000 0.00542 3120
1.00 × 104 0.00602 3470
2.00 × 104 0.0120 6930
3.00 × 104 0.0181 1.04 × 104
4.00 × 104 0.0241 1.39 × 104
5.00 × 104 0.0301 1.73 × 104
6.00 × 104 0.0361 2.08 × 104
7.00 × 104 0.0421 2.43 × 104
8.00 × 104 0.0481 2.77 × 104
9.00 × 104 0.0542 3.12 × 104
1.00 × 105 0.0602 3.47 × 104
2.00 × 105 0.120 6.93 × 104
2.20 × 105 0.132 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_max (in) stress_max (psi)
10.3 4.78 × 10-5 9.90
20.0 9.29 × 10-5 19.3
30.0 1.39 × 10-4 28.9
40.0 1.86 × 10-4 38.5
50.0 2.32 × 10-4 48.1
60.0 2.79 × 10-4 57.8
70.0 3.25 × 10-4 67.4
80.0 3.71 × 10-4 77.0
90.0 4.18 × 10-4 86.7
100 4.64 × 10-4 96.3
200 9.29 × 10-4 193
300 0.00139 289
400 0.00186 385
500 0.00232 481
600 0.00279 578
700 0.00325 674
800 0.00371 770
900 0.00418 867
1000 0.00464 963
2000 0.00929 1930
3000 0.0139 2890
4000 0.0186 3850
5000 0.0232 4810
6000 0.0279 5780
7000 0.0325 6740
8000 0.0371 7700
9000 0.0418 8670
1.00 × 104 0.0464 9630
2.00 × 104 0.0929 1.93 × 104
3.00 × 104 0.139 2.89 × 104
4.00 × 104 0.186 3.85 × 104
5.00 × 104 0.232 4.81 × 104
6.00 × 104 0.279 5.78 × 104
7.00 × 104 0.325 6.74 × 104
7.91 × 104 0.367 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_max (in) stress_max (psi)
10.3 7.64 × 10-4 39.6
20.0 0.00149 77.0
30.0 0.00223 116
40.0 0.00297 154
50.0 0.00371 193
60.0 0.00446 231
70.0 0.00520 270
80.0 0.00594 308
90.0 0.00669 347
100 0.00743 385
200 0.0149 770
300 0.0223 1160
400 0.0297 1540
500 0.0371 1930
600 0.0446 2310
700 0.0520 2700
800 0.0594 3080
900 0.0669 3470
1000 0.0743 3850
2000 0.149 7700
3000 0.223 1.16 × 104
4000 0.297 1.54 × 104
5000 0.371 1.93 × 104
6000 0.446 2.31 × 104
7000 0.520 2.70 × 104
8000 0.594 3.08 × 104
9000 0.669 3.47 × 104
1.00 × 104 0.743 3.85 × 104
1.98 × 104 1.47 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_max (in) stress_max (psi)
10.3 0.00387 89.1
20.0 0.00752 173
30.0 0.0113 260
40.0 0.0150 347
50.0 0.0188 433
60.0 0.0226 520
70.0 0.0263 607
80.0 0.0301 693
90.0 0.0338 780
100 0.0376 867
200 0.0752 1730
300 0.113 2600
400 0.150 3470
500 0.188 4330
600 0.226 5200
700 0.263 6070
800 0.301 6930
900 0.338 7800
1000 0.376 8670
2000 0.752 1.73 × 104
3000 1.13 2.60 × 104
4000 1.50 3.47 × 104
5000 1.88 4.33 × 104
6000 2.26 5.20 × 104
7000 2.63 6.07 × 104
8000 3.01 6.93 × 104
8790 3.30 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_max (in) stress_max (psi)
10.3 0.0122 158
20.0 0.0238 308
30.0 0.0357 462
40.0 0.0475 616
50.0 0.0594 770
60.0 0.0713 924
70.0 0.0832 1080
80.0 0.0951 1230
90.0 0.107 1390
100 0.119 1540
200 0.238 3080
300 0.357 4620
400 0.475 6160
500 0.594 7700
600 0.713 9240
700 0.832 1.08 × 104
800 0.951 1.23 × 104
900 1.07 1.39 × 104
1000 1.19 1.54 × 104
2000 2.38 3.08 × 104
3000 3.57 4.62 × 104
4000 4.75 6.16 × 104
4940 5.88 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_max (in) stress_max (psi)
10.3 0.0298 248
20.0 0.0580 481
30.0 0.0871 722
40.0 0.116 963
50.0 0.145 1200
60.0 0.174 1440
70.0 0.203 1680
80.0 0.232 1930
90.0 0.261 2170
100 0.290 2410
200 0.580 4810
300 0.871 7220
400 1.16 9630
500 1.45 1.20 × 104
600 1.74 1.44 × 104
700 2.03 1.68 × 104
800 2.32 1.93 × 104
900 2.61 2.17 × 104
1000 2.90 2.41 × 104
2000 5.80 4.81 × 104
3000 8.71 7.22 × 104
3160 9.18 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_max (in) stress_max (psi)
10.3 0.0619 357
20.0 0.120 693
30.0 0.181 1040
40.0 0.241 1390
50.0 0.301 1730
60.0 0.361 2080
70.0 0.421 2430
80.0 0.481 2770
90.0 0.542 3120
100 0.602 3470
200 1.20 6930
300 1.81 1.04 × 104
400 2.41 1.39 × 104
500 3.01 1.73 × 104
600 3.61 2.08 × 104
700 4.21 2.43 × 104
800 4.81 2.77 × 104
900 5.42 3.12 × 104
1000 6.02 3.47 × 104
1660 10.0 5.76 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 0.196 634
20.0 0.380 1230
30.0 0.571 1850
40.0 0.761 2460
50.0 0.951 3080
60.0 1.14 3700
70.0 1.33 4310
80.0 1.52 4930
90.0 1.71 5550
100 1.90 6160
200 3.80 1.23 × 104
300 5.71 1.85 × 104
400 7.61 2.46 × 104
500 9.51 3.08 × 104
526 10.0 3.24 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 0.478 990
20.0 0.929 1930
30.0 1.39 2890
40.0 1.86 3850
50.0 2.32 4810
60.0 2.79 5780
70.0 3.25 6740
80.0 3.71 7700
90.0 4.18 8670
100 4.64 9630
200 9.29 1.93 × 104
215 10.0 2.07 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 0.990 1430
20.0 1.93 2770
30.0 2.89 4160
40.0 3.85 5550
50.0 4.81 6930
60.0 5.78 8320
70.0 6.74 9710
80.0 7.70 1.11 × 104
90.0 8.67 1.25 × 104
100 9.63 1.39 × 104
104 10.0 1.44 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 1.83 1940
20.0 3.57 3770
30.0 5.35 5660
40.0 7.13 7550
50.0 8.92 9440
56.1 10.0 1.06 × 104
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 3.13 2540
20.0 6.09 4930
30.0 9.13 7390
32.9 10.0 8100
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 5.01 3210
20.0 9.75 6240
20.5 10.0 6400
Aluminum I Beam: 10.00 × 10.286 (10.00 inch tall × 10.286 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
10.3 7.64 3960
13.5 10.0 5180
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