engineering fundamentals
Aluminum I Beam: 10.00 × 10.286
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth 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 5.73 × 10-6 3.82
20.0 1.12 × 10-5 7.42
30.0 1.67 × 10-5 11.1
40.0 2.23 × 10-5 14.8
50.0 2.79 × 10-5 18.6
60.0 3.35 × 10-5 22.3
70.0 3.90 × 10-5 26.0
80.0 4.46 × 10-5 29.7
90.0 5.02 × 10-5 33.4
100 5.58 × 10-5 37.1
200 1.12 × 10-4 74.2
300 1.67 × 10-4 111
400 2.23 × 10-4 148
500 2.79 × 10-4 186
600 3.35 × 10-4 223
700 3.90 × 10-4 260
800 4.46 × 10-4 297
900 5.02 × 10-4 334
1000 5.58 × 10-4 371
2000 0.00112 742
3000 0.00167 1110
4000 0.00223 1480
5000 0.00279 1860
6000 0.00335 2230
7000 0.00390 2600
8000 0.00446 2970
9000 0.00502 3340
1.00 × 104 0.00558 3710
2.00 × 104 0.0112 7420
3.00 × 104 0.0167 1.11 × 104
4.00 × 104 0.0223 1.48 × 104
5.00 × 104 0.0279 1.86 × 104
6.00 × 104 0.0335 2.23 × 104
7.00 × 104 0.0390 2.60 × 104
8.00 × 104 0.0446 2.97 × 104
9.00 × 104 0.0502 3.34 × 104
1.00 × 105 0.0558 3.71 × 104
2.00 × 105 0.112 7.42 × 104
2.05 × 105 0.114 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 4.42 × 10-5 10.6
20.0 8.60 × 10-5 20.6
30.0 1.29 × 10-4 30.9
40.0 1.72 × 10-4 41.2
50.0 2.15 × 10-4 51.6
60.0 2.58 × 10-4 61.9
70.0 3.01 × 10-4 72.2
80.0 3.44 × 10-4 82.5
90.0 3.87 × 10-4 92.8
100 4.30 × 10-4 103
200 8.60 × 10-4 206
300 0.00129 309
400 0.00172 412
500 0.00215 516
600 0.00258 619
700 0.00301 722
800 0.00344 825
900 0.00387 928
1000 0.00430 1030
2000 0.00860 2060
3000 0.0129 3090
4000 0.0172 4120
5000 0.0215 5160
6000 0.0258 6190
7000 0.0301 7220
8000 0.0344 8250
9000 0.0387 9280
1.00 × 104 0.0430 1.03 × 104
2.00 × 104 0.0860 2.06 × 104
3.00 × 104 0.129 3.09 × 104
4.00 × 104 0.172 4.12 × 104
5.00 × 104 0.215 5.16 × 104
6.00 × 104 0.258 6.19 × 104
7.00 × 104 0.301 7.22 × 104
7.38 × 104 0.318 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 7.08 × 10-4 42.4
20.0 0.00138 82.5
30.0 0.00206 124
40.0 0.00275 165
50.0 0.00344 206
60.0 0.00413 247
70.0 0.00482 289
80.0 0.00551 330
90.0 0.00619 371
100 0.00688 412
200 0.0138 825
300 0.0206 1240
400 0.0275 1650
500 0.0344 2060
600 0.0413 2470
700 0.0482 2890
800 0.0551 3300
900 0.0619 3710
1000 0.0688 4120
2000 0.138 8250
3000 0.206 1.24 × 104
4000 0.275 1.65 × 104
5000 0.344 2.06 × 104
6000 0.413 2.47 × 104
7000 0.482 2.89 × 104
8000 0.551 3.30 × 104
9000 0.619 3.71 × 104
1.00 × 104 0.688 4.12 × 104
1.85 × 104 1.27 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 0.00358 95.5
20.0 0.00697 186
30.0 0.0105 278
40.0 0.0139 371
50.0 0.0174 464
60.0 0.0209 557
70.0 0.0244 650
80.0 0.0279 742
90.0 0.0314 835
100 0.0348 928
200 0.0697 1860
300 0.105 2780
400 0.139 3710
500 0.174 4640
600 0.209 5570
700 0.244 6500
800 0.279 7420
900 0.314 8350
1000 0.348 9280
2000 0.697 1.86 × 104
3000 1.05 2.78 × 104
4000 1.39 3.71 × 104
5000 1.74 4.64 × 104
6000 2.09 5.57 × 104
7000 2.44 6.50 × 104
8000 2.79 7.42 × 104
8200 2.86 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 0.0113 170
20.0 0.0220 330
30.0 0.0330 495
40.0 0.0440 660
50.0 0.0551 825
60.0 0.0661 990
70.0 0.0771 1150
80.0 0.0881 1320
90.0 0.0991 1480
100 0.110 1650
200 0.220 3300
300 0.330 4950
400 0.440 6600
500 0.551 8250
600 0.661 9900
700 0.771 1.15 × 104
800 0.881 1.32 × 104
900 0.991 1.48 × 104
1000 1.10 1.65 × 104
2000 2.20 3.30 × 104
3000 3.30 4.95 × 104
4000 4.40 6.60 × 104
4620 5.08 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 0.0277 265
20.0 0.0538 516
30.0 0.0807 773
40.0 0.108 1030
50.0 0.134 1290
60.0 0.161 1550
70.0 0.188 1800
80.0 0.215 2060
90.0 0.242 2320
100 0.269 2580
200 0.538 5160
300 0.807 7730
400 1.08 1.03 × 104
500 1.34 1.29 × 104
600 1.61 1.55 × 104
700 1.88 1.80 × 104
800 2.15 2.06 × 104
900 2.42 2.32 × 104
1000 2.69 2.58 × 104
2000 5.38 5.16 × 104
2950 7.94 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 0.0573 382
20.0 0.112 742
30.0 0.167 1110
40.0 0.223 1480
50.0 0.279 1860
60.0 0.335 2230
70.0 0.390 2600
80.0 0.446 2970
90.0 0.502 3340
100 0.558 3710
200 1.12 7420
300 1.67 1.11 × 104
400 2.23 1.48 × 104
500 2.79 1.86 × 104
600 3.35 2.23 × 104
700 3.90 2.60 × 104
800 4.46 2.97 × 104
900 5.02 3.34 × 104
1000 5.58 3.71 × 104
1790 10.0 6.66 × 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 0.181 679
20.0 0.352 1320
30.0 0.529 1980
40.0 0.705 2640
50.0 0.881 3300
60.0 1.06 3960
70.0 1.23 4620
80.0 1.41 5280
90.0 1.59 5940
100 1.76 6600
200 3.52 1.32 × 104
300 5.29 1.98 × 104
400 7.05 2.64 × 104
500 8.81 3.30 × 104
568 10.0 3.75 × 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 0.442 1060
20.0 0.860 2060
30.0 1.29 3090
40.0 1.72 4120
50.0 2.15 5160
60.0 2.58 6190
70.0 3.01 7220
80.0 3.44 8250
90.0 3.87 9280
100 4.30 1.03 × 104
200 8.60 2.06 × 104
232 10.0 2.40 × 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 0.918 1530
20.0 1.78 2970
30.0 2.68 4450
40.0 3.57 5940
50.0 4.46 7420
60.0 5.35 8910
70.0 6.24 1.04 × 104
80.0 7.14 1.19 × 104
90.0 8.03 1.34 × 104
100 8.92 1.48 × 104
112 10.0 1.66 × 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 1.70 2080
20.0 3.31 4040
30.0 4.96 6060
40.0 6.61 8080
50.0 8.26 1.01 × 104
60.0 9.92 1.21 × 104
60.5 10.0 1.22 × 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 2.90 2720
20.0 5.64 5280
30.0 8.46 7920
35.5 10.0 9360
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 4.64 3440
20.0 9.03 6680
22.1 10.0 7400
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 7.08 4240
14.5 10.0 5990
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