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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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_max (in) stress_max (psi)
8.36 7.12 × 10-6 4.27
9.00 7.66 × 10-6 4.59
10.0 8.51 × 10-6 5.10
20.0 1.70 × 10-5 10.2
30.0 2.55 × 10-5 15.3
40.0 3.41 × 10-5 20.4
50.0 4.26 × 10-5 25.5
60.0 5.11 × 10-5 30.6
70.0 5.96 × 10-5 35.7
80.0 6.81 × 10-5 40.8
90.0 7.66 × 10-5 45.9
100 8.51 × 10-5 51.0
200 1.70 × 10-4 102
300 2.55 × 10-4 153
400 3.41 × 10-4 204
500 4.26 × 10-4 255
600 5.11 × 10-4 306
700 5.96 × 10-4 357
800 6.81 × 10-4 408
900 7.66 × 10-4 459
1000 8.51 × 10-4 510
2000 0.00170 1020
3000 0.00255 1530
4000 0.00341 2040
5000 0.00426 2550
6000 0.00511 3060
7000 0.00596 3570
8000 0.00681 4080
9000 0.00766 4590
1.00 × 104 0.00851 5100
2.00 × 104 0.0170 1.02 × 104
3.00 × 104 0.0255 1.53 × 104
4.00 × 104 0.0341 2.04 × 104
5.00 × 104 0.0426 2.55 × 104
6.00 × 104 0.0511 3.06 × 104
7.00 × 104 0.0596 3.57 × 104
8.00 × 104 0.0681 4.08 × 104
9.00 × 104 0.0766 4.59 × 104
1.00 × 105 0.0851 5.10 × 104
1.49 × 105 0.127 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_max (in) stress_max (psi)
8.36 5.49 × 10-5 11.8
9.00 5.91 × 10-5 12.8
10.0 6.57 × 10-5 14.2
20.0 1.31 × 10-4 28.3
30.0 1.97 × 10-4 42.5
40.0 2.63 × 10-4 56.7
50.0 3.28 × 10-4 70.9
60.0 3.94 × 10-4 85.0
70.0 4.60 × 10-4 99.2
80.0 5.26 × 10-4 113
90.0 5.91 × 10-4 128
100 6.57 × 10-4 142
200 0.00131 283
300 0.00197 425
400 0.00263 567
500 0.00328 709
600 0.00394 850
700 0.00460 992
800 0.00526 1130
900 0.00591 1280
1000 0.00657 1420
2000 0.0131 2830
3000 0.0197 4250
4000 0.0263 5670
5000 0.0328 7090
6000 0.0394 8500
7000 0.0460 9920
8000 0.0526 1.13 × 104
9000 0.0591 1.28 × 104
1.00 × 104 0.0657 1.42 × 104
2.00 × 104 0.131 2.83 × 104
3.00 × 104 0.197 4.25 × 104
4.00 × 104 0.263 5.67 × 104
5.00 × 104 0.328 7.09 × 104
5.37 × 104 0.353 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_max (in) stress_max (psi)
8.36 8.79 × 10-4 47.4
9.00 9.46 × 10-4 51.0
10.0 0.00105 56.7
20.0 0.00210 113
30.0 0.00315 170
40.0 0.00420 227
50.0 0.00526 283
60.0 0.00631 340
70.0 0.00736 397
80.0 0.00841 454
90.0 0.00946 510
100 0.0105 567
200 0.0210 1130
300 0.0315 1700
400 0.0420 2270
500 0.0526 2830
600 0.0631 3400
700 0.0736 3970
800 0.0841 4540
900 0.0946 5100
1000 0.105 5670
2000 0.210 1.13 × 104
3000 0.315 1.70 × 104
4000 0.420 2.27 × 104
5000 0.526 2.83 × 104
6000 0.631 3.40 × 104
7000 0.736 3.97 × 104
8000 0.841 4.54 × 104
9000 0.946 5.10 × 104
1.00 × 104 1.05 5.67 × 104
1.34 × 104 1.41 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_max (in) stress_max (psi)
8.36 0.00445 107
9.00 0.00479 115
10.0 0.00532 128
20.0 0.0106 255
30.0 0.0160 383
40.0 0.0213 510
50.0 0.0266 638
60.0 0.0319 765
70.0 0.0372 893
80.0 0.0426 1020
90.0 0.0479 1150
100 0.0532 1280
200 0.106 2550
300 0.160 3830
400 0.213 5100
500 0.266 6380
600 0.319 7650
700 0.372 8930
800 0.426 1.02 × 104
900 0.479 1.15 × 104
1000 0.532 1.28 × 104
2000 1.06 2.55 × 104
3000 1.60 3.83 × 104
4000 2.13 5.10 × 104
5000 2.66 6.38 × 104
5970 3.18 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_max (in) stress_max (psi)
8.36 0.0141 190
9.00 0.0151 204
10.0 0.0168 227
20.0 0.0336 454
30.0 0.0504 680
40.0 0.0673 907
50.0 0.0841 1130
60.0 0.101 1360
70.0 0.118 1590
80.0 0.135 1810
90.0 0.151 2040
100 0.168 2270
200 0.336 4540
300 0.504 6800
400 0.673 9070
500 0.841 1.13 × 104
600 1.01 1.36 × 104
700 1.18 1.59 × 104
800 1.35 1.81 × 104
900 1.51 2.04 × 104
1000 1.68 2.27 × 104
2000 3.36 4.54 × 104
3000 5.04 6.80 × 104
3360 5.65 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_max (in) stress_max (psi)
8.36 0.0343 296
9.00 0.0370 319
10.0 0.0411 354
20.0 0.0821 709
30.0 0.123 1060
40.0 0.164 1420
50.0 0.205 1770
60.0 0.246 2130
70.0 0.287 2480
80.0 0.328 2830
90.0 0.370 3190
100 0.411 3540
200 0.821 7090
300 1.23 1.06 × 104
400 1.64 1.42 × 104
500 2.05 1.77 × 104
600 2.46 2.13 × 104
700 2.87 2.48 × 104
800 3.28 2.83 × 104
900 3.70 3.19 × 104
1000 4.11 3.54 × 104
2000 8.21 7.09 × 104
2150 8.82 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_max (in) stress_max (psi)
8.36 0.0712 427
9.00 0.0766 459
10.0 0.0851 510
20.0 0.170 1020
30.0 0.255 1530
40.0 0.341 2040
50.0 0.426 2550
60.0 0.511 3060
70.0 0.596 3570
80.0 0.681 4080
90.0 0.766 4590
100 0.851 5100
200 1.70 1.02 × 104
300 2.55 1.53 × 104
400 3.41 2.04 × 104
500 4.26 2.55 × 104
600 5.11 3.06 × 104
700 5.96 3.57 × 104
800 6.81 4.08 × 104
900 7.66 4.59 × 104
1000 8.51 5.10 × 104
1490 12.7 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_max (in) stress_max (psi)
8.36 0.225 758
9.00 0.242 816
10.0 0.269 907
20.0 0.538 1810
30.0 0.807 2720
40.0 1.08 3630
50.0 1.35 4540
60.0 1.61 5440
70.0 1.88 6350
80.0 2.15 7260
90.0 2.42 8160
100 2.69 9070
200 5.38 1.81 × 104
300 8.07 2.72 × 104
334 9.00 3.03 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 0.549 1180
9.00 0.591 1280
10.0 0.657 1420
20.0 1.31 2830
30.0 1.97 4250
40.0 2.63 5670
50.0 3.28 7090
60.0 3.94 8500
70.0 4.60 9920
80.0 5.26 1.13 × 104
90.0 5.91 1.28 × 104
100 6.57 1.42 × 104
137 9.00 1.94 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 1.14 1710
9.00 1.23 1840
10.0 1.36 2040
20.0 2.72 4080
30.0 4.09 6120
40.0 5.45 8160
50.0 6.81 1.02 × 104
60.0 8.17 1.22 × 104
66.1 9.00 1.35 × 104
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 2.11 2320
9.00 2.27 2500
10.0 2.52 2780
20.0 5.05 5560
30.0 7.57 8330
35.7 9.00 9910
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 3.60 3030
9.00 3.87 3270
10.0 4.31 3630
20.0 8.61 7260
20.9 9.00 7580
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 5.77 3840
9.00 6.21 4130
10.0 6.90 4590
13.1 9.00 5990
Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
8.36 8.79 4740
8.56 9.00 4850
Additional Information
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FREE Publications
Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

STEM Career Outlook

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more publications