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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 9.00 × 10-6 4.79
8.00 1.03 × 10-5 5.46
9.00 1.15 × 10-5 6.14
10.0 1.28 × 10-5 6.83
20.0 2.56 × 10-5 13.7
30.0 3.84 × 10-5 20.5
40.0 5.13 × 10-5 27.3
50.0 6.41 × 10-5 34.1
60.0 7.69 × 10-5 41.0
70.0 8.97 × 10-5 47.8
80.0 1.03 × 10-4 54.6
90.0 1.15 × 10-4 61.4
100 1.28 × 10-4 68.3
200 2.56 × 10-4 137
300 3.84 × 10-4 205
400 5.13 × 10-4 273
500 6.41 × 10-4 341
600 7.69 × 10-4 410
700 8.97 × 10-4 478
800 0.00103 546
900 0.00115 614
1000 0.00128 683
2000 0.00256 1370
3000 0.00384 2050
4000 0.00513 2730
5000 0.00641 3410
6000 0.00769 4100
7000 0.00897 4780
8000 0.0103 5460
9000 0.0115 6140
1.00 × 104 0.0128 6830
2.00 × 104 0.0256 1.37 × 104
3.00 × 104 0.0384 2.05 × 104
4.00 × 104 0.0513 2.73 × 104
5.00 × 104 0.0641 3.41 × 104
6.00 × 104 0.0769 4.10 × 104
7.00 × 104 0.0897 4.78 × 104
8.00 × 104 0.103 5.46 × 104
9.00 × 104 0.115 6.14 × 104
1.00 × 105 0.128 6.83 × 104
1.12 × 105 0.143 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 6.94 × 10-5 13.3
8.00 7.91 × 10-5 15.2
9.00 8.90 × 10-5 17.1
10.0 9.89 × 10-5 19.0
20.0 1.98 × 10-4 37.9
30.0 2.97 × 10-4 56.9
40.0 3.95 × 10-4 75.8
50.0 4.94 × 10-4 94.8
60.0 5.93 × 10-4 114
70.0 6.92 × 10-4 133
80.0 7.91 × 10-4 152
90.0 8.90 × 10-4 171
100 9.89 × 10-4 190
200 0.00198 379
300 0.00297 569
400 0.00395 758
500 0.00494 948
600 0.00593 1140
700 0.00692 1330
800 0.00791 1520
900 0.00890 1710
1000 0.00989 1900
2000 0.0198 3790
3000 0.0297 5690
4000 0.0395 7580
5000 0.0494 9480
6000 0.0593 1.14 × 104
7000 0.0692 1.33 × 104
8000 0.0791 1.52 × 104
9000 0.0890 1.71 × 104
1.00 × 104 0.0989 1.90 × 104
2.00 × 104 0.198 3.79 × 104
3.00 × 104 0.297 5.69 × 104
4.00 × 104 0.395 7.58 × 104
4.02 × 104 0.397 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 0.00111 53.3
8.00 0.00127 60.7
9.00 0.00142 68.3
10.0 0.00158 75.8
20.0 0.00316 152
30.0 0.00475 228
40.0 0.00633 303
50.0 0.00791 379
60.0 0.00949 455
70.0 0.0111 531
80.0 0.0127 607
90.0 0.0142 683
100 0.0158 758
200 0.0316 1520
300 0.0475 2280
400 0.0633 3030
500 0.0791 3790
600 0.0949 4550
700 0.111 5310
800 0.127 6070
900 0.142 6830
1000 0.158 7580
2000 0.316 1.52 × 104
3000 0.475 2.28 × 104
4000 0.633 3.03 × 104
5000 0.791 3.79 × 104
6000 0.949 4.55 × 104
7000 1.11 5.31 × 104
8000 1.27 6.07 × 104
9000 1.42 6.83 × 104
1.00 × 104 1.58 7.58 × 104
1.00 × 104 1.59 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 0.00562 120
8.00 0.00641 137
9.00 0.00721 154
10.0 0.00801 171
20.0 0.0160 341
30.0 0.0240 512
40.0 0.0320 683
50.0 0.0400 853
60.0 0.0481 1020
70.0 0.0561 1190
80.0 0.0641 1370
90.0 0.0721 1540
100 0.0801 1710
200 0.160 3410
300 0.240 5120
400 0.320 6830
500 0.400 8530
600 0.481 1.02 × 104
700 0.561 1.19 × 104
800 0.641 1.37 × 104
900 0.721 1.54 × 104
1000 0.801 1.71 × 104
2000 1.60 3.41 × 104
3000 2.40 5.12 × 104
4000 3.20 6.83 × 104
4460 3.57 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 0.0178 213
8.00 0.0202 243
9.00 0.0228 273
10.0 0.0253 303
20.0 0.0506 607
30.0 0.0759 910
40.0 0.101 1210
50.0 0.127 1520
60.0 0.152 1820
70.0 0.177 2120
80.0 0.202 2430
90.0 0.228 2730
100 0.253 3030
200 0.506 6070
300 0.759 9100
400 1.01 1.21 × 104
500 1.27 1.52 × 104
600 1.52 1.82 × 104
700 1.77 2.12 × 104
800 2.02 2.43 × 104
900 2.28 2.73 × 104
1000 2.53 3.03 × 104
2000 5.06 6.07 × 104
2510 6.35 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 0.0434 333
8.00 0.0494 379
9.00 0.0556 427
10.0 0.0618 474
20.0 0.124 948
30.0 0.185 1420
40.0 0.247 1900
50.0 0.309 2370
60.0 0.371 2840
70.0 0.433 3320
80.0 0.494 3790
90.0 0.556 4270
100 0.618 4740
200 1.24 9480
300 1.85 1.42 × 104
400 2.47 1.90 × 104
500 3.09 2.37 × 104
600 3.71 2.84 × 104
700 4.33 3.32 × 104
800 4.94 3.79 × 104
900 5.56 4.27 × 104
1000 6.18 4.74 × 104
1610 9.93 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 0.0900 479
8.00 0.103 546
9.00 0.115 614
10.0 0.128 683
20.0 0.256 1370
30.0 0.384 2050
40.0 0.513 2730
50.0 0.641 3410
60.0 0.769 4100
70.0 0.897 4780
80.0 1.03 5460
90.0 1.15 6140
100 1.28 6830
200 2.56 1.37 × 104
300 3.84 2.05 × 104
400 5.13 2.73 × 104
500 6.41 3.41 × 104
600 7.69 4.10 × 104
624 8.00 4.26 × 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 0.284 852
8.00 0.324 971
9.00 0.364 1090
10.0 0.405 1210
20.0 0.810 2430
30.0 1.21 3640
40.0 1.62 4850
50.0 2.02 6070
60.0 2.43 7280
70.0 2.83 8490
80.0 3.24 9710
90.0 3.64 1.09 × 104
100 4.05 1.21 × 104
198 8.00 2.40 × 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 0.694 1330
8.00 0.791 1520
9.00 0.890 1710
10.0 0.989 1900
20.0 1.98 3790
30.0 2.97 5690
40.0 3.95 7580
50.0 4.94 9480
60.0 5.93 1.14 × 104
70.0 6.92 1.33 × 104
80.0 7.91 1.52 × 104
80.9 8.00 1.53 × 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 1.44 1920
8.00 1.64 2180
9.00 1.85 2460
10.0 2.05 2730
20.0 4.10 5460
30.0 6.15 8190
39.0 8.00 1.07 × 104
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 2.67 2610
8.00 3.04 2970
9.00 3.42 3340
10.0 3.80 3720
20.0 7.60 7430
21.1 8.00 7830
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 4.55 3410
8.00 5.18 3880
9.00 5.83 4370
10.0 6.48 4850
12.3 8.00 5990
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 7.29 4310
7.71 8.00 4740
Additional Information
Related Pages
FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

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.

Injection Molding Design Guide

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

more publications