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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress 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 = 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 3.57 × 10-5 9.51 3.00 4.64 × 10-5 12.3 4.00 6.18 × 10-5 16.5 5.00 7.73 × 10-5 20.6 6.00 9.27 × 10-5 24.7 7.00 1.08 × 10-4 28.8 8.00 1.24 × 10-4 32.9 9.00 1.39 × 10-4 37.0 10.0 1.55 × 10-4 41.2 20.0 3.09 × 10-4 82.3 30.0 4.64 × 10-4 123 40.0 6.18 × 10-4 165 50.0 7.73 × 10-4 206 60.0 9.27 × 10-4 247 70.0 0.00108 288 80.0 0.00124 329 90.0 0.00139 370 100 0.00155 412 200 0.00309 823 300 0.00464 1230 400 0.00618 1650 500 0.00773 2060 600 0.00927 2470 700 0.0108 2880 800 0.0124 3290 900 0.0139 3700 1000 0.0155 4120 2000 0.0309 8230 3000 0.0464 1.23 × 104 4000 0.0618 1.65 × 104 5000 0.0773 2.06 × 104 6000 0.0927 2.47 × 104 7000 0.108 2.88 × 104 8000 0.124 3.29 × 104 9000 0.139 3.70 × 104 1.00 × 104 0.155 4.12 × 104 1.85 × 104 0.286 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 2.76 × 10-4 26.4 3.00 3.58 × 10-4 34.3 4.00 4.77 × 10-4 45.7 5.00 5.96 × 10-4 57.2 6.00 7.15 × 10-4 68.6 7.00 8.35 × 10-4 80.0 8.00 9.54 × 10-4 91.5 9.00 0.00107 103 10.0 0.00119 114 20.0 0.00238 229 30.0 0.00358 343 40.0 0.00477 457 50.0 0.00596 572 60.0 0.00715 686 70.0 0.00835 800 80.0 0.00954 915 90.0 0.0107 1030 100 0.0119 1140 200 0.0238 2290 300 0.0358 3430 400 0.0477 4570 500 0.0596 5720 600 0.0715 6860 700 0.0835 8000 800 0.0954 9150 900 0.107 1.03 × 104 1000 0.119 1.14 × 104 2000 0.238 2.29 × 104 3000 0.358 3.43 × 104 4000 0.477 4.57 × 104 5000 0.596 5.72 × 104 6000 0.715 6.86 × 104 6660 0.794 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 0.00441 106 3.00 0.00572 137 4.00 0.00763 183 5.00 0.00954 229 6.00 0.0114 274 7.00 0.0134 320 8.00 0.0153 366 9.00 0.0172 412 10.0 0.0191 457 20.0 0.0382 915 30.0 0.0572 1370 40.0 0.0763 1830 50.0 0.0954 2290 60.0 0.114 2740 70.0 0.134 3200 80.0 0.153 3660 90.0 0.172 4120 100 0.191 4570 200 0.382 9150 300 0.572 1.37 × 104 400 0.763 1.83 × 104 500 0.954 2.29 × 104 600 1.14 2.74 × 104 700 1.34 3.20 × 104 800 1.53 3.66 × 104 900 1.72 4.12 × 104 1000 1.91 4.57 × 104 1660 3.18 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 0.0223 238 3.00 0.0290 309 4.00 0.0386 412 5.00 0.0483 515 6.00 0.0580 617 7.00 0.0676 720 8.00 0.0773 823 9.00 0.0869 926 10.0 0.0966 1030 20.0 0.193 2060 30.0 0.290 3090 40.0 0.386 4120 50.0 0.483 5150 60.0 0.580 6170 70.0 0.676 7200 80.0 0.773 8230 90.0 0.869 9260 100 0.966 1.03 × 104 200 1.93 2.06 × 104 300 2.90 3.09 × 104 400 3.86 4.12 × 104 414 4.00 4.26 × 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 0.0705 423 3.00 0.0916 549 4.00 0.122 732 5.00 0.153 915 6.00 0.183 1100 7.00 0.214 1280 8.00 0.244 1460 9.00 0.275 1650 10.0 0.305 1830 20.0 0.611 3660 30.0 0.916 5490 40.0 1.22 7320 50.0 1.53 9150 60.0 1.83 1.10 × 104 70.0 2.14 1.28 × 104 80.0 2.44 1.46 × 104 90.0 2.75 1.65 × 104 100 3.05 1.83 × 104 131 4.00 2.40 × 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 0.172 661 3.00 0.224 858 4.00 0.298 1140 5.00 0.373 1430 6.00 0.447 1720 7.00 0.522 2000 8.00 0.596 2290 9.00 0.671 2570 10.0 0.745 2860 20.0 1.49 5720 30.0 2.24 8580 40.0 2.98 1.14 × 104 50.0 3.73 1.43 × 104 53.7 4.00 1.53 × 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 0.357 951 3.00 0.464 1230 4.00 0.618 1650 5.00 0.773 2060 6.00 0.927 2470 7.00 1.08 2880 8.00 1.24 3290 9.00 1.39 3700 10.0 1.55 4120 20.0 3.09 8230 25.9 4.00 1.07 × 104
 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 1.13 1690 3.00 1.47 2200 4.00 1.95 2930 5.00 2.44 3660 6.00 2.93 4390 7.00 3.42 5120 8.00 3.91 5850 8.19 4.00 5990
 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 2.76 2640 3.00 3.58 3430 3.35 4.00 3840
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