engineering fundamentals
Aluminum I Beam: 7.00 × 5.800
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 7.00 × 5.800
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 = 42.89 in4) for the 7.00 × 5.800 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
   
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 1.27 × 10-5 5.11
6.00 1.31 × 10-5 5.29
7.00 1.53 × 10-5 6.17
8.00 1.75 × 10-5 7.05
9.00 1.97 × 10-5 7.93
10.0 2.19 × 10-5 8.81
20.0 4.37 × 10-5 17.6
30.0 6.56 × 10-5 26.4
40.0 8.74 × 10-5 35.3
50.0 1.09 × 10-4 44.1
60.0 1.31 × 10-4 52.9
70.0 1.53 × 10-4 61.7
80.0 1.75 × 10-4 70.5
90.0 1.97 × 10-4 79.3
100 2.19 × 10-4 88.1
200 4.37 × 10-4 176
300 6.56 × 10-4 264
400 8.74 × 10-4 353
500 0.00109 441
600 0.00131 529
700 0.00153 617
800 0.00175 705
900 0.00197 793
1000 0.00219 881
2000 0.00437 1760
3000 0.00656 2640
4000 0.00874 3530
5000 0.0109 4410
6000 0.0131 5290
7000 0.0153 6170
8000 0.0175 7050
9000 0.0197 7930
1.00 × 104 0.0219 8810
2.00 × 104 0.0437 1.76 × 104
3.00 × 104 0.0656 2.64 × 104
4.00 × 104 0.0874 3.53 × 104
5.00 × 104 0.109 4.41 × 104
6.00 × 104 0.131 5.29 × 104
7.00 × 104 0.153 6.17 × 104
8.00 × 104 0.175 7.05 × 104
8.64 × 104 0.189 7.61 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 9.78 × 10-5 14.2
6.00 1.01 × 10-4 14.7
7.00 1.18 × 10-4 17.1
8.00 1.35 × 10-4 19.6
9.00 1.52 × 10-4 22.0
10.0 1.69 × 10-4 24.5
20.0 3.37 × 10-4 49.0
30.0 5.06 × 10-4 73.4
40.0 6.75 × 10-4 97.9
50.0 8.43 × 10-4 122
60.0 0.00101 147
70.0 0.00118 171
80.0 0.00135 196
90.0 0.00152 220
100 0.00169 245
200 0.00337 490
300 0.00506 734
400 0.00675 979
500 0.00843 1220
600 0.0101 1470
700 0.0118 1710
800 0.0135 1960
900 0.0152 2200
1000 0.0169 2450
2000 0.0337 4900
3000 0.0506 7340
4000 0.0675 9790
5000 0.0843 1.22 × 104
6000 0.101 1.47 × 104
7000 0.118 1.71 × 104
8000 0.135 1.96 × 104
9000 0.152 2.20 × 104
1.00 × 104 0.169 2.45 × 104
2.00 × 104 0.337 4.90 × 104
3.00 × 104 0.506 7.34 × 104
3.11 × 104 0.525 7.61 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.00157 56.8
6.00 0.00162 58.8
7.00 0.00189 68.5
8.00 0.00216 78.3
9.00 0.00243 88.1
10.0 0.00270 97.9
20.0 0.00540 196
30.0 0.00810 294
40.0 0.0108 392
50.0 0.0135 490
60.0 0.0162 588
70.0 0.0189 685
80.0 0.0216 783
90.0 0.0243 881
100 0.0270 979
200 0.0540 1960
300 0.0810 2940
400 0.108 3920
500 0.135 4900
600 0.162 5880
700 0.189 6850
800 0.216 7830
900 0.243 8810
1000 0.270 9790
2000 0.540 1.96 × 104
3000 0.810 2.94 × 104
4000 1.08 3.92 × 104
5000 1.35 4.90 × 104
6000 1.62 5.88 × 104
7000 1.89 6.85 × 104
7780 2.10 7.61 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.00792 128
6.00 0.00820 132
7.00 0.00956 154
8.00 0.0109 176
9.00 0.0123 198
10.0 0.0137 220
20.0 0.0273 441
30.0 0.0410 661
40.0 0.0546 881
50.0 0.0683 1100
60.0 0.0820 1320
70.0 0.0956 1540
80.0 0.109 1760
90.0 0.123 1980
100 0.137 2200
200 0.273 4410
300 0.410 6610
400 0.546 8810
500 0.683 1.10 × 104
600 0.820 1.32 × 104
700 0.956 1.54 × 104
800 1.09 1.76 × 104
900 1.23 1.98 × 104
1000 1.37 2.20 × 104
2000 2.73 4.41 × 104
3000 4.10 6.61 × 104
3460 4.72 7.61 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.0250 227
6.00 0.0259 235
7.00 0.0302 274
8.00 0.0345 313
9.00 0.0389 353
10.0 0.0432 392
20.0 0.0864 783
30.0 0.130 1180
40.0 0.173 1570
50.0 0.216 1960
60.0 0.259 2350
70.0 0.302 2740
80.0 0.345 3130
90.0 0.389 3530
100 0.432 3920
200 0.864 7830
300 1.30 1.18 × 104
400 1.73 1.57 × 104
500 2.16 1.96 × 104
600 2.59 2.35 × 104
700 3.02 2.74 × 104
800 3.45 3.13 × 104
900 3.89 3.53 × 104
1000 4.32 3.92 × 104
1940 8.39 7.61 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.0611 355
6.00 0.0632 367
7.00 0.0738 428
8.00 0.0843 490
9.00 0.0949 551
10.0 0.105 612
20.0 0.211 1220
30.0 0.316 1840
40.0 0.422 2450
50.0 0.527 3060
60.0 0.632 3670
70.0 0.738 4280
80.0 0.843 4900
90.0 0.949 5510
100 1.05 6120
200 2.11 1.22 × 104
300 3.16 1.84 × 104
400 4.22 2.45 × 104
500 5.27 3.06 × 104
600 6.32 3.67 × 104
664 7.00 4.06 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.127 511
6.00 0.131 529
7.00 0.153 617
8.00 0.175 705
9.00 0.197 793
10.0 0.219 881
20.0 0.437 1760
30.0 0.656 2640
40.0 0.874 3530
50.0 1.09 4410
60.0 1.31 5290
70.0 1.53 6170
80.0 1.75 7050
90.0 1.97 7930
100 2.19 8810
200 4.37 1.76 × 104
300 6.56 2.64 × 104
320 7.00 2.82 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.401 909
6.00 0.414 940
7.00 0.484 1100
8.00 0.553 1250
9.00 0.622 1410
10.0 0.691 1570
20.0 1.38 3130
30.0 2.07 4700
40.0 2.76 6270
50.0 3.45 7830
60.0 4.14 9400
70.0 4.84 1.10 × 104
80.0 5.53 1.25 × 104
90.0 6.22 1.41 × 104
100 6.91 1.57 × 104
101 7.00 1.59 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 0.978 1420
6.00 1.01 1470
7.00 1.18 1710
8.00 1.35 1960
9.00 1.52 2200
10.0 1.69 2450
20.0 3.37 4900
30.0 5.06 7340
40.0 6.75 9790
41.5 7.00 1.02 × 104
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 2.03 2040
6.00 2.10 2120
7.00 2.45 2470
8.00 2.80 2820
9.00 3.15 3170
10.0 3.50 3530
20.0 6.99 7050
20.0 7.00 7060
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 3.76 2780
6.00 3.89 2880
7.00 4.54 3360
8.00 5.18 3840
9.00 5.83 4320
10.0 6.48 4800
10.8 7.00 5180
Aluminum I Beam: 7.00 × 5.800 (7.00 inch tall × 5.800 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
5.80 6.41 3630
6.00 6.63 3760
6.33 7.00 3970
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