Aluminum I Beam: 4.00 × 2.311

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Aluminum I Beam » 4.00 × 2.311
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 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 = 5.62 in4) for the 4.00 × 2.311 Aluminum I Beam and the typical Young's modulus (E = 1.015 × 107 psi) of Aluminum Alloys. Note that the typical yielding stress 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.

 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 2.31 3.85 × 10-5 8.88 3.00 5.00 × 10-5 11.5 4.00 6.67 × 10-5 15.4 5.00 8.34 × 10-5 19.2 6.00 1.00 × 10-4 23.1 7.00 1.17 × 10-4 26.9 8.00 1.33 × 10-4 30.7 9.00 1.50 × 10-4 34.6 10.0 1.67 × 10-4 38.4 20.0 3.34 × 10-4 76.9 30.0 5.00 × 10-4 115 40.0 6.67 × 10-4 154 50.0 8.34 × 10-4 192 60.0 0.00100 231 70.0 0.00117 269 80.0 0.00133 307 90.0 0.00150 346 100 0.00167 384 200 0.00334 769 300 0.00500 1150 400 0.00667 1540 500 0.00834 1920 600 0.0100 2310 700 0.0117 2690 800 0.0133 3070 900 0.0150 3460 1000 0.0167 3840 2000 0.0334 7690 3000 0.0500 1.15 × 104 4000 0.0667 1.54 × 104 5000 0.0834 1.92 × 104 6000 0.100 2.31 × 104 7000 0.117 2.69 × 104 8000 0.133 3.07 × 104 9000 0.150 3.46 × 104 1.00 × 104 0.167 3.84 × 104 1.98 × 104 0.330 7.61 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 2.31 2.97 × 10-4 24.7 3.00 3.86 × 10-4 32.0 4.00 5.15 × 10-4 42.7 5.00 6.44 × 10-4 53.4 6.00 7.72 × 10-4 64.1 7.00 9.01 × 10-4 74.7 8.00 0.00103 85.4 9.00 0.00116 96.1 10.0 0.00129 107 20.0 0.00257 214 30.0 0.00386 320 40.0 0.00515 427 50.0 0.00644 534 60.0 0.00772 641 70.0 0.00901 747 80.0 0.0103 854 90.0 0.0116 961 100 0.0129 1070 200 0.0257 2140 300 0.0386 3200 400 0.0515 4270 500 0.0644 5340 600 0.0772 6410 700 0.0901 7470 800 0.103 8540 900 0.116 9610 1000 0.129 1.07 × 104 2000 0.257 2.14 × 104 3000 0.386 3.20 × 104 4000 0.515 4.27 × 104 5000 0.644 5.34 × 104 6000 0.772 6.41 × 104 7000 0.901 7.47 × 104 7130 0.918 7.61 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 2.31 0.00476 98.7 3.00 0.00618 128 4.00 0.00824 171 5.00 0.0103 214 6.00 0.0124 256 7.00 0.0144 299 8.00 0.0165 342 9.00 0.0185 384 10.0 0.0206 427 20.0 0.0412 854 30.0 0.0618 1280 40.0 0.0824 1710 50.0 0.103 2140 60.0 0.124 2560 70.0 0.144 2990 80.0 0.165 3420 90.0 0.185 3840 100 0.206 4270 200 0.412 8540 300 0.618 1.28 × 104 400 0.824 1.71 × 104 500 1.03 2.14 × 104 600 1.24 2.56 × 104 700 1.44 2.99 × 104 800 1.65 3.42 × 104 900 1.85 3.84 × 104 1000 2.06 4.27 × 104 1780 3.67 7.61 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 2.31 0.0241 222 3.00 0.0313 288 4.00 0.0417 384 5.00 0.0521 480 6.00 0.0626 577 7.00 0.0730 673 8.00 0.0834 769 9.00 0.0938 865 10.0 0.104 961 20.0 0.209 1920 30.0 0.313 2880 40.0 0.417 3840 50.0 0.521 4800 60.0 0.626 5770 70.0 0.730 6730 80.0 0.834 7690 90.0 0.938 8650 100 1.04 9610 200 2.09 1.92 × 104 300 3.13 2.88 × 104 384 4.00 3.69 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 2.31 0.0761 395 3.00 0.0989 512 4.00 0.132 683 5.00 0.165 854 6.00 0.198 1020 7.00 0.231 1200 8.00 0.264 1370 9.00 0.297 1540 10.0 0.330 1710 20.0 0.659 3420 30.0 0.989 5120 40.0 1.32 6830 50.0 1.65 8540 60.0 1.98 1.02 × 104 70.0 2.31 1.20 × 104 80.0 2.64 1.37 × 104 90.0 2.97 1.54 × 104 100 3.30 1.71 × 104 121 4.00 2.07 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 2.31 0.186 617 3.00 0.241 801 4.00 0.322 1070 5.00 0.402 1330 6.00 0.483 1600 7.00 0.563 1870 8.00 0.644 2140 9.00 0.724 2400 10.0 0.804 2670 20.0 1.61 5340 30.0 2.41 8010 40.0 3.22 1.07 × 104 49.7 4.00 1.33 × 104
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 2.31 0.385 888 3.00 0.500 1150 4.00 0.667 1540 5.00 0.834 1920 6.00 1.00 2310 7.00 1.17 2690 8.00 1.33 3070 9.00 1.50 3460 10.0 1.67 3840 20.0 3.34 7690 24.0 4.00 9220
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 2.31 1.22 1580 3.00 1.58 2050 4.00 2.11 2730 5.00 2.64 3420 6.00 3.16 4100 7.00 3.69 4780 7.59 4.00 5180
 Aluminum I Beam: 4.00 × 2.311 (4.00 inch tall × 2.311 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 2.31 2.97 2470 3.00 3.86 3200 3.11 4.00 3320
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