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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Aluminum I Beam » 8.00 × 7.023
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 = 67.78 in4) for the 8.00 × 7.023 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
   
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 7.44 × 10-6 5.60
8.00 8.47 × 10-6 6.37
9.00 9.53 × 10-6 7.17
10.0 1.06 × 10-5 7.97
20.0 2.12 × 10-5 15.9
30.0 3.18 × 10-5 23.9
40.0 4.24 × 10-5 31.9
50.0 5.30 × 10-5 39.8
60.0 6.36 × 10-5 47.8
70.0 7.42 × 10-5 55.8
80.0 8.47 × 10-5 63.7
90.0 9.53 × 10-5 71.7
100 1.06 × 10-4 79.7
200 2.12 × 10-4 159
300 3.18 × 10-4 239
400 4.24 × 10-4 319
500 5.30 × 10-4 398
600 6.36 × 10-4 478
700 7.42 × 10-4 558
800 8.47 × 10-4 637
900 9.53 × 10-4 717
1000 0.00106 797
2000 0.00212 1590
3000 0.00318 2390
4000 0.00424 3190
5000 0.00530 3980
6000 0.00636 4780
7000 0.00742 5580
8000 0.00847 6370
9000 0.00953 7170
1.00 × 104 0.0106 7970
2.00 × 104 0.0212 1.59 × 104
3.00 × 104 0.0318 2.39 × 104
4.00 × 104 0.0424 3.19 × 104
5.00 × 104 0.0530 3.98 × 104
6.00 × 104 0.0636 4.78 × 104
7.00 × 104 0.0742 5.58 × 104
8.00 × 104 0.0847 6.37 × 104
9.00 × 104 0.0953 7.17 × 104
9.56 × 104 0.101 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 5.74 × 10-5 15.5
8.00 6.54 × 10-5 17.7
9.00 7.36 × 10-5 19.9
10.0 8.17 × 10-5 22.1
20.0 1.63 × 10-4 44.3
30.0 2.45 × 10-4 66.4
40.0 3.27 × 10-4 88.5
50.0 4.09 × 10-4 111
60.0 4.90 × 10-4 133
70.0 5.72 × 10-4 155
80.0 6.54 × 10-4 177
90.0 7.36 × 10-4 199
100 8.17 × 10-4 221
200 0.00163 443
300 0.00245 664
400 0.00327 885
500 0.00409 1110
600 0.00490 1330
700 0.00572 1550
800 0.00654 1770
900 0.00736 1990
1000 0.00817 2210
2000 0.0163 4430
3000 0.0245 6640
4000 0.0327 8850
5000 0.0409 1.11 × 104
6000 0.0490 1.33 × 104
7000 0.0572 1.55 × 104
8000 0.0654 1.77 × 104
9000 0.0736 1.99 × 104
1.00 × 104 0.0817 2.21 × 104
2.00 × 104 0.163 4.43 × 104
3.00 × 104 0.245 6.64 × 104
3.44 × 104 0.281 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 9.19 × 10-4 62.2
8.00 0.00105 70.8
9.00 0.00118 79.7
10.0 0.00131 88.5
20.0 0.00262 177
30.0 0.00392 266
40.0 0.00523 354
50.0 0.00654 443
60.0 0.00785 531
70.0 0.00916 620
80.0 0.0105 708
90.0 0.0118 797
100 0.0131 885
200 0.0262 1770
300 0.0392 2660
400 0.0523 3540
500 0.0654 4430
600 0.0785 5310
700 0.0916 6200
800 0.105 7080
900 0.118 7970
1000 0.131 8850
2000 0.262 1.77 × 104
3000 0.392 2.66 × 104
4000 0.523 3.54 × 104
5000 0.654 4.43 × 104
6000 0.785 5.31 × 104
7000 0.916 6.20 × 104
8000 1.05 7.08 × 104
8600 1.13 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.00465 140
8.00 0.00530 159
9.00 0.00596 179
10.0 0.00662 199
20.0 0.0132 398
30.0 0.0199 598
40.0 0.0265 797
50.0 0.0331 996
60.0 0.0397 1200
70.0 0.0463 1390
80.0 0.0530 1590
90.0 0.0596 1790
100 0.0662 1990
200 0.132 3980
300 0.199 5980
400 0.265 7970
500 0.331 9960
600 0.397 1.20 × 104
700 0.463 1.39 × 104
800 0.530 1.59 × 104
900 0.596 1.79 × 104
1000 0.662 1.99 × 104
2000 1.32 3.98 × 104
3000 1.99 5.98 × 104
3820 2.53 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.0147 249
8.00 0.0167 283
9.00 0.0188 319
10.0 0.0209 354
20.0 0.0419 708
30.0 0.0628 1060
40.0 0.0837 1420
50.0 0.105 1770
60.0 0.126 2120
70.0 0.146 2480
80.0 0.167 2830
90.0 0.188 3190
100 0.209 3540
200 0.419 7080
300 0.628 1.06 × 104
400 0.837 1.42 × 104
500 1.05 1.77 × 104
600 1.26 2.12 × 104
700 1.46 2.48 × 104
800 1.67 2.83 × 104
900 1.88 3.19 × 104
1000 2.09 3.54 × 104
2000 4.19 7.08 × 104
2150 4.50 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.0359 389
8.00 0.0409 443
9.00 0.0460 498
10.0 0.0511 553
20.0 0.102 1110
30.0 0.153 1660
40.0 0.204 2210
50.0 0.255 2770
60.0 0.307 3320
70.0 0.358 3870
80.0 0.409 4430
90.0 0.460 4980
100 0.511 5530
200 1.02 1.11 × 104
300 1.53 1.66 × 104
400 2.04 2.21 × 104
500 2.55 2.77 × 104
600 3.07 3.32 × 104
700 3.58 3.87 × 104
800 4.09 4.43 × 104
900 4.60 4.98 × 104
1000 5.11 5.53 × 104
1380 7.03 7.61 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.0744 560
8.00 0.0847 637
9.00 0.0953 717
10.0 0.106 797
20.0 0.212 1590
30.0 0.318 2390
40.0 0.424 3190
50.0 0.530 3980
60.0 0.636 4780
70.0 0.742 5580
80.0 0.847 6370
90.0 0.953 7170
100 1.06 7970
200 2.12 1.59 × 104
300 3.18 2.39 × 104
400 4.24 3.19 × 104
500 5.30 3.98 × 104
600 6.36 4.78 × 104
700 7.42 5.58 × 104
755 8.00 6.02 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.235 995
8.00 0.268 1130
9.00 0.301 1270
10.0 0.335 1420
20.0 0.670 2830
30.0 1.00 4250
40.0 1.34 5670
50.0 1.67 7080
60.0 2.01 8500
70.0 2.34 9910
80.0 2.68 1.13 × 104
90.0 3.01 1.27 × 104
100 3.35 1.42 × 104
200 6.70 2.83 × 104
239 8.00 3.38 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 0.574 1550
8.00 0.654 1770
9.00 0.736 1990
10.0 0.817 2210
20.0 1.63 4430
30.0 2.45 6640
40.0 3.27 8850
50.0 4.09 1.11 × 104
60.0 4.90 1.33 × 104
70.0 5.72 1.55 × 104
80.0 6.54 1.77 × 104
90.0 7.36 1.99 × 104
97.9 8.00 2.17 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 1.19 2240
8.00 1.36 2550
9.00 1.53 2870
10.0 1.69 3190
20.0 3.39 6370
30.0 5.08 9560
40.0 6.78 1.27 × 104
47.2 8.00 1.50 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 2.21 3050
8.00 2.51 3470
9.00 2.83 3900
10.0 3.14 4340
20.0 6.28 8680
25.5 8.00 1.11 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 3.76 3980
8.00 4.29 4530
9.00 4.82 5100
10.0 5.36 5670
14.9 8.00 8460
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_mid (in) stress_max (psi)
7.02 6.03 5040
8.00 6.86 5740
9.00 7.72 6450
9.32 8.00 6680
Additional Information
Related Pages
Glossary
FREE Publications
Metal 3D Printing Design Guide

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

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

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

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Guide for high quality and cost-effective plastic injection molding.

more publications