Metal 3D Printing Design Guide

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

3D Scanners

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

CNC Machining Design Guide

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

Selecting the Right 3D Printer

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

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 8.00 × 6.181
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 = 59.69 in4) for the 8.00 × 6.181 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 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 8.99 × 10-6 4.79
7.00 1.02 × 10-5 5.43
8.00 1.16 × 10-5 6.20
9.00 1.31 × 10-5 6.98
10.0 1.46 × 10-5 7.75
20.0 2.91 × 10-5 15.5
30.0 4.37 × 10-5 23.3
40.0 5.82 × 10-5 31.0
50.0 7.28 × 10-5 38.8
60.0 8.73 × 10-5 46.5
70.0 1.02 × 10-4 54.3
80.0 1.16 × 10-4 62.0
90.0 1.31 × 10-4 69.8
100 1.46 × 10-4 77.5
200 2.91 × 10-4 155
300 4.37 × 10-4 233
400 5.82 × 10-4 310
500 7.28 × 10-4 388
600 8.73 × 10-4 465
700 0.00102 543
800 0.00116 620
900 0.00131 698
1000 0.00146 775
2000 0.00291 1550
3000 0.00437 2330
4000 0.00582 3100
5000 0.00728 3880
6000 0.00873 4650
7000 0.0102 5430
8000 0.0116 6200
9000 0.0131 6980
1.00 × 104 0.0146 7750
2.00 × 104 0.0291 1.55 × 104
3.00 × 104 0.0437 2.33 × 104
4.00 × 104 0.0582 3.10 × 104
5.00 × 104 0.0728 3.88 × 104
6.00 × 104 0.0873 4.65 × 104
7.00 × 104 0.102 5.43 × 104
8.00 × 104 0.116 6.20 × 104
9.00 × 104 0.131 6.98 × 104
9.82 × 104 0.143 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 6.94 × 10-5 13.3
7.00 7.86 × 10-5 15.1
8.00 8.98 × 10-5 17.2
9.00 1.01 × 10-4 19.4
10.0 1.12 × 10-4 21.5
20.0 2.25 × 10-4 43.1
30.0 3.37 × 10-4 64.6
40.0 4.49 × 10-4 86.1
50.0 5.61 × 10-4 108
60.0 6.74 × 10-4 129
70.0 7.86 × 10-4 151
80.0 8.98 × 10-4 172
90.0 0.00101 194
100 0.00112 215
200 0.00225 431
300 0.00337 646
400 0.00449 861
500 0.00561 1080
600 0.00674 1290
700 0.00786 1510
800 0.00898 1720
900 0.0101 1940
1000 0.0112 2150
2000 0.0225 4310
3000 0.0337 6460
4000 0.0449 8610
5000 0.0561 1.08 × 104
6000 0.0674 1.29 × 104
7000 0.0786 1.51 × 104
8000 0.0898 1.72 × 104
9000 0.101 1.94 × 104
1.00 × 104 0.112 2.15 × 104
2.00 × 104 0.225 4.31 × 104
3.00 × 104 0.337 6.46 × 104
3.54 × 104 0.397 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.00111 53.2
7.00 0.00126 60.3
8.00 0.00144 68.9
9.00 0.00162 77.5
10.0 0.00180 86.1
20.0 0.00359 172
30.0 0.00539 258
40.0 0.00719 344
50.0 0.00898 431
60.0 0.0108 517
70.0 0.0126 603
80.0 0.0144 689
90.0 0.0162 775
100 0.0180 861
200 0.0359 1720
300 0.0539 2580
400 0.0719 3440
500 0.0898 4310
600 0.108 5170
700 0.126 6030
800 0.144 6890
900 0.162 7750
1000 0.180 8610
2000 0.359 1.72 × 104
3000 0.539 2.58 × 104
4000 0.719 3.44 × 104
5000 0.898 4.31 × 104
6000 1.08 5.17 × 104
7000 1.26 6.03 × 104
8000 1.44 6.89 × 104
8840 1.59 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.00562 120
7.00 0.00637 136
8.00 0.00728 155
9.00 0.00818 174
10.0 0.00909 194
20.0 0.0182 388
30.0 0.0273 581
40.0 0.0364 775
50.0 0.0455 969
60.0 0.0546 1160
70.0 0.0637 1360
80.0 0.0728 1550
90.0 0.0818 1740
100 0.0909 1940
200 0.182 3880
300 0.273 5810
400 0.364 7750
500 0.455 9690
600 0.546 1.16 × 104
700 0.637 1.36 × 104
800 0.728 1.55 × 104
900 0.818 1.74 × 104
1000 0.909 1.94 × 104
2000 1.82 3.88 × 104
3000 2.73 5.81 × 104
3930 3.57 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.0178 213
7.00 0.0201 241
8.00 0.0230 276
9.00 0.0259 310
10.0 0.0287 344
20.0 0.0575 689
30.0 0.0862 1030
40.0 0.115 1380
50.0 0.144 1720
60.0 0.172 2070
70.0 0.201 2410
80.0 0.230 2760
90.0 0.259 3100
100 0.287 3440
200 0.575 6890
300 0.862 1.03 × 104
400 1.15 1.38 × 104
500 1.44 1.72 × 104
600 1.72 2.07 × 104
700 2.01 2.41 × 104
800 2.30 2.76 × 104
900 2.59 3.10 × 104
1000 2.87 3.44 × 104
2000 5.75 6.89 × 104
2210 6.35 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.0434 333
7.00 0.0491 377
8.00 0.0561 431
9.00 0.0632 484
10.0 0.0702 538
20.0 0.140 1080
30.0 0.211 1610
40.0 0.281 2150
50.0 0.351 2690
60.0 0.421 3230
70.0 0.491 3770
80.0 0.561 4310
90.0 0.632 4840
100 0.702 5380
200 1.40 1.08 × 104
300 2.11 1.61 × 104
400 2.81 2.15 × 104
500 3.51 2.69 × 104
600 4.21 3.23 × 104
700 4.91 3.77 × 104
800 5.61 4.31 × 104
900 6.32 4.84 × 104
1000 7.02 5.38 × 104
1410 9.93 7.61 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.0899 479
7.00 0.102 543
8.00 0.116 620
9.00 0.131 698
10.0 0.146 775
20.0 0.291 1550
30.0 0.437 2330
40.0 0.582 3100
50.0 0.728 3880
60.0 0.873 4650
70.0 1.02 5430
80.0 1.16 6200
90.0 1.31 6980
100 1.46 7750
200 2.91 1.55 × 104
300 4.37 2.33 × 104
400 5.82 3.10 × 104
500 7.28 3.88 × 104
550 8.00 4.26 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.284 852
7.00 0.322 965
8.00 0.368 1100
9.00 0.414 1240
10.0 0.460 1380
20.0 0.920 2760
30.0 1.38 4130
40.0 1.84 5510
50.0 2.30 6890
60.0 2.76 8270
70.0 3.22 9650
80.0 3.68 1.10 × 104
90.0 4.14 1.24 × 104
100 4.60 1.38 × 104
174 8.00 2.40 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 0.694 1330
7.00 0.786 1510
8.00 0.898 1720
9.00 1.01 1940
10.0 1.12 2150
20.0 2.25 4310
30.0 3.37 6460
40.0 4.49 8610
50.0 5.61 1.08 × 104
60.0 6.74 1.29 × 104
70.0 7.86 1.51 × 104
71.3 8.00 1.53 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 1.44 1920
7.00 1.63 2170
8.00 1.86 2480
9.00 2.10 2790
10.0 2.33 3100
20.0 4.66 6200
30.0 6.98 9300
34.4 8.00 1.07 × 104
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 2.67 2610
7.00 3.02 2950
8.00 3.45 3380
9.00 3.88 3800
10.0 4.31 4220
18.5 8.00 7830
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 4.55 3410
7.00 5.15 3860
8.00 5.89 4410
9.00 6.62 4960
10.0 7.36 5510
10.9 8.00 5990
Aluminum I Beam: 8.00 × 6.181 (8.00 inch tall × 6.181 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
6.18 7.29 4310
6.79 8.00 4740
Additional Information
Related Pages
FREE Publications
Metal 3D Printing Design Guide

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

3D Scanners

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

CNC Machining Design Guide

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

Selecting the Right 3D Printer

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

more publications