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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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_max (in) stress_max (psi)
7.02 9.71 × 10-6 4.48
8.00 1.11 × 10-5 5.10
9.00 1.24 × 10-5 5.74
10.0 1.38 × 10-5 6.37
20.0 2.77 × 10-5 12.7
30.0 4.15 × 10-5 19.1
40.0 5.53 × 10-5 25.5
50.0 6.92 × 10-5 31.9
60.0 8.30 × 10-5 38.2
70.0 9.68 × 10-5 44.6
80.0 1.11 × 10-4 51.0
90.0 1.24 × 10-4 57.4
100 1.38 × 10-4 63.7
200 2.77 × 10-4 127
300 4.15 × 10-4 191
400 5.53 × 10-4 255
500 6.92 × 10-4 319
600 8.30 × 10-4 382
700 9.68 × 10-4 446
800 0.00111 510
900 0.00124 574
1000 0.00138 637
2000 0.00277 1270
3000 0.00415 1910
4000 0.00553 2550
5000 0.00692 3190
6000 0.00830 3820
7000 0.00968 4460
8000 0.0111 5100
9000 0.0124 5740
1.00 × 104 0.0138 6370
2.00 × 104 0.0277 1.27 × 104
3.00 × 104 0.0415 1.91 × 104
4.00 × 104 0.0553 2.55 × 104
5.00 × 104 0.0692 3.19 × 104
6.00 × 104 0.0830 3.82 × 104
7.00 × 104 0.0968 4.46 × 104
8.00 × 104 0.111 5.10 × 104
9.00 × 104 0.124 5.74 × 104
1.00 × 105 0.138 6.37 × 104
1.19 × 105 0.165 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_max (in) stress_max (psi)
7.02 7.50 × 10-5 12.4
8.00 8.54 × 10-5 14.2
9.00 9.60 × 10-5 15.9
10.0 1.07 × 10-4 17.7
20.0 2.13 × 10-4 35.4
30.0 3.20 × 10-4 53.1
40.0 4.27 × 10-4 70.8
50.0 5.34 × 10-4 88.5
60.0 6.40 × 10-4 106
70.0 7.47 × 10-4 124
80.0 8.54 × 10-4 142
90.0 9.60 × 10-4 159
100 0.00107 177
200 0.00213 354
300 0.00320 531
400 0.00427 708
500 0.00534 885
600 0.00640 1060
700 0.00747 1240
800 0.00854 1420
900 0.00960 1590
1000 0.0107 1770
2000 0.0213 3540
3000 0.0320 5310
4000 0.0427 7080
5000 0.0534 8850
6000 0.0640 1.06 × 104
7000 0.0747 1.24 × 104
8000 0.0854 1.42 × 104
9000 0.0960 1.59 × 104
1.00 × 104 0.107 1.77 × 104
2.00 × 104 0.213 3.54 × 104
3.00 × 104 0.320 5.31 × 104
4.00 × 104 0.427 7.08 × 104
4.30 × 104 0.459 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_max (in) stress_max (psi)
7.02 0.00120 49.7
8.00 0.00137 56.7
9.00 0.00154 63.7
10.0 0.00171 70.8
20.0 0.00342 142
30.0 0.00512 212
40.0 0.00683 283
50.0 0.00854 354
60.0 0.0102 425
70.0 0.0120 496
80.0 0.0137 567
90.0 0.0154 637
100 0.0171 708
200 0.0342 1420
300 0.0512 2120
400 0.0683 2830
500 0.0854 3540
600 0.102 4250
700 0.120 4960
800 0.137 5670
900 0.154 6370
1000 0.171 7080
2000 0.342 1.42 × 104
3000 0.512 2.12 × 104
4000 0.683 2.83 × 104
5000 0.854 3.54 × 104
6000 1.02 4.25 × 104
7000 1.20 4.96 × 104
8000 1.37 5.67 × 104
9000 1.54 6.37 × 104
1.00 × 104 1.71 7.08 × 104
1.08 × 104 1.84 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_max (in) stress_max (psi)
7.02 0.00607 112
8.00 0.00692 127
9.00 0.00778 143
10.0 0.00864 159
20.0 0.0173 319
30.0 0.0259 478
40.0 0.0346 637
50.0 0.0432 797
60.0 0.0519 956
70.0 0.0605 1120
80.0 0.0692 1270
90.0 0.0778 1430
100 0.0864 1590
200 0.173 3190
300 0.259 4780
400 0.346 6370
500 0.432 7970
600 0.519 9560
700 0.605 1.12 × 104
800 0.692 1.27 × 104
900 0.778 1.43 × 104
1000 0.864 1.59 × 104
2000 1.73 3.19 × 104
3000 2.59 4.78 × 104
4000 3.46 6.37 × 104
4780 4.13 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_max (in) stress_max (psi)
7.02 0.0192 199
8.00 0.0219 227
9.00 0.0246 255
10.0 0.0273 283
20.0 0.0546 567
30.0 0.0820 850
40.0 0.109 1130
50.0 0.137 1420
60.0 0.164 1700
70.0 0.191 1980
80.0 0.219 2270
90.0 0.246 2550
100 0.273 2830
200 0.546 5670
300 0.820 8500
400 1.09 1.13 × 104
500 1.37 1.42 × 104
600 1.64 1.70 × 104
700 1.91 1.98 × 104
800 2.19 2.27 × 104
900 2.46 2.55 × 104
1000 2.73 2.83 × 104
2000 5.46 5.67 × 104
2690 7.34 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_max (in) stress_max (psi)
7.02 0.0468 311
8.00 0.0534 354
9.00 0.0600 398
10.0 0.0667 443
20.0 0.133 885
30.0 0.200 1330
40.0 0.267 1770
50.0 0.334 2210
60.0 0.400 2660
70.0 0.467 3100
80.0 0.534 3540
90.0 0.600 3980
100 0.667 4430
200 1.33 8850
300 2.00 1.33 × 104
400 2.67 1.77 × 104
500 3.34 2.21 × 104
600 4.00 2.66 × 104
700 4.67 3.10 × 104
800 5.34 3.54 × 104
900 6.00 3.98 × 104
1000 6.67 4.43 × 104
1720 11.5 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_max (in) stress_max (psi)
7.02 0.0971 448
8.00 0.111 510
9.00 0.124 574
10.0 0.138 637
20.0 0.277 1270
30.0 0.415 1910
40.0 0.553 2550
50.0 0.692 3190
60.0 0.830 3820
70.0 0.968 4460
80.0 1.11 5100
90.0 1.24 5740
100 1.38 6370
200 2.77 1.27 × 104
300 4.15 1.91 × 104
400 5.53 2.55 × 104
500 6.92 3.19 × 104
578 8.00 3.69 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 0.307 796
8.00 0.350 906
9.00 0.393 1020
10.0 0.437 1130
20.0 0.874 2270
30.0 1.31 3400
40.0 1.75 4530
50.0 2.19 5670
60.0 2.62 6800
70.0 3.06 7930
80.0 3.50 9060
90.0 3.93 1.02 × 104
100 4.37 1.13 × 104
183 8.00 2.07 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 0.750 1240
8.00 0.854 1420
9.00 0.960 1590
10.0 1.07 1770
20.0 2.13 3540
30.0 3.20 5310
40.0 4.27 7080
50.0 5.34 8850
60.0 6.40 1.06 × 104
70.0 7.47 1.24 × 104
75.0 8.00 1.33 × 104
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 1.55 1790
8.00 1.77 2040
9.00 1.99 2290
10.0 2.21 2550
20.0 4.43 5100
30.0 6.64 7650
36.2 8.00 9220
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 2.88 2440
8.00 3.28 2780
9.00 3.69 3120
10.0 4.10 3470
19.5 8.00 6770
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 4.91 3180
8.00 5.60 3630
9.00 6.29 4080
10.0 6.99 4530
11.4 8.00 5180
Aluminum I Beam: 8.00 × 7.023 (8.00 inch tall × 7.023 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
7.02 7.87 4030
7.14 8.00 4100
Additional Information
Related Pages
FREE Publications
Mechanical Engineers Outlook

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

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

3D Scanners

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

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