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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 9.00 × 8.361
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 = 102.02 in4) for the 9.00 × 8.361 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: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 8.36 7.12 × 10-6 4.27 9.00 7.66 × 10-6 4.59 10.0 8.51 × 10-6 5.10 20.0 1.70 × 10-5 10.2 30.0 2.55 × 10-5 15.3 40.0 3.41 × 10-5 20.4 50.0 4.26 × 10-5 25.5 60.0 5.11 × 10-5 30.6 70.0 5.96 × 10-5 35.7 80.0 6.81 × 10-5 40.8 90.0 7.66 × 10-5 45.9 100 8.51 × 10-5 51.0 200 1.70 × 10-4 102 300 2.55 × 10-4 153 400 3.41 × 10-4 204 500 4.26 × 10-4 255 600 5.11 × 10-4 306 700 5.96 × 10-4 357 800 6.81 × 10-4 408 900 7.66 × 10-4 459 1000 8.51 × 10-4 510 2000 0.00170 1020 3000 0.00255 1530 4000 0.00341 2040 5000 0.00426 2550 6000 0.00511 3060 7000 0.00596 3570 8000 0.00681 4080 9000 0.00766 4590 1.00 × 104 0.00851 5100 2.00 × 104 0.0170 1.02 × 104 3.00 × 104 0.0255 1.53 × 104 4.00 × 104 0.0341 2.04 × 104 5.00 × 104 0.0426 2.55 × 104 6.00 × 104 0.0511 3.06 × 104 7.00 × 104 0.0596 3.57 × 104 8.00 × 104 0.0681 4.08 × 104 9.00 × 104 0.0766 4.59 × 104 1.00 × 105 0.0851 5.10 × 104 1.49 × 105 0.127 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 8.36 5.49 × 10-5 11.8 9.00 5.91 × 10-5 12.8 10.0 6.57 × 10-5 14.2 20.0 1.31 × 10-4 28.3 30.0 1.97 × 10-4 42.5 40.0 2.63 × 10-4 56.7 50.0 3.28 × 10-4 70.9 60.0 3.94 × 10-4 85.0 70.0 4.60 × 10-4 99.2 80.0 5.26 × 10-4 113 90.0 5.91 × 10-4 128 100 6.57 × 10-4 142 200 0.00131 283 300 0.00197 425 400 0.00263 567 500 0.00328 709 600 0.00394 850 700 0.00460 992 800 0.00526 1130 900 0.00591 1280 1000 0.00657 1420 2000 0.0131 2830 3000 0.0197 4250 4000 0.0263 5670 5000 0.0328 7090 6000 0.0394 8500 7000 0.0460 9920 8000 0.0526 1.13 × 104 9000 0.0591 1.28 × 104 1.00 × 104 0.0657 1.42 × 104 2.00 × 104 0.131 2.83 × 104 3.00 × 104 0.197 4.25 × 104 4.00 × 104 0.263 5.67 × 104 5.00 × 104 0.328 7.09 × 104 5.37 × 104 0.353 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 8.36 8.79 × 10-4 47.4 9.00 9.46 × 10-4 51.0 10.0 0.00105 56.7 20.0 0.00210 113 30.0 0.00315 170 40.0 0.00420 227 50.0 0.00526 283 60.0 0.00631 340 70.0 0.00736 397 80.0 0.00841 454 90.0 0.00946 510 100 0.0105 567 200 0.0210 1130 300 0.0315 1700 400 0.0420 2270 500 0.0526 2830 600 0.0631 3400 700 0.0736 3970 800 0.0841 4540 900 0.0946 5100 1000 0.105 5670 2000 0.210 1.13 × 104 3000 0.315 1.70 × 104 4000 0.420 2.27 × 104 5000 0.526 2.83 × 104 6000 0.631 3.40 × 104 7000 0.736 3.97 × 104 8000 0.841 4.54 × 104 9000 0.946 5.10 × 104 1.00 × 104 1.05 5.67 × 104 1.34 × 104 1.41 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 8.36 0.00445 107 9.00 0.00479 115 10.0 0.00532 128 20.0 0.0106 255 30.0 0.0160 383 40.0 0.0213 510 50.0 0.0266 638 60.0 0.0319 765 70.0 0.0372 893 80.0 0.0426 1020 90.0 0.0479 1150 100 0.0532 1280 200 0.106 2550 300 0.160 3830 400 0.213 5100 500 0.266 6380 600 0.319 7650 700 0.372 8930 800 0.426 1.02 × 104 900 0.479 1.15 × 104 1000 0.532 1.28 × 104 2000 1.06 2.55 × 104 3000 1.60 3.83 × 104 4000 2.13 5.10 × 104 5000 2.66 6.38 × 104 5970 3.18 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 8.36 0.0141 190 9.00 0.0151 204 10.0 0.0168 227 20.0 0.0336 454 30.0 0.0504 680 40.0 0.0673 907 50.0 0.0841 1130 60.0 0.101 1360 70.0 0.118 1590 80.0 0.135 1810 90.0 0.151 2040 100 0.168 2270 200 0.336 4540 300 0.504 6800 400 0.673 9070 500 0.841 1.13 × 104 600 1.01 1.36 × 104 700 1.18 1.59 × 104 800 1.35 1.81 × 104 900 1.51 2.04 × 104 1000 1.68 2.27 × 104 2000 3.36 4.54 × 104 3000 5.04 6.80 × 104 3360 5.65 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 8.36 0.0343 296 9.00 0.0370 319 10.0 0.0411 354 20.0 0.0821 709 30.0 0.123 1060 40.0 0.164 1420 50.0 0.205 1770 60.0 0.246 2130 70.0 0.287 2480 80.0 0.328 2830 90.0 0.370 3190 100 0.411 3540 200 0.821 7090 300 1.23 1.06 × 104 400 1.64 1.42 × 104 500 2.05 1.77 × 104 600 2.46 2.13 × 104 700 2.87 2.48 × 104 800 3.28 2.83 × 104 900 3.70 3.19 × 104 1000 4.11 3.54 × 104 2000 8.21 7.09 × 104 2150 8.82 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 8.36 0.0712 427 9.00 0.0766 459 10.0 0.0851 510 20.0 0.170 1020 30.0 0.255 1530 40.0 0.341 2040 50.0 0.426 2550 60.0 0.511 3060 70.0 0.596 3570 80.0 0.681 4080 90.0 0.766 4590 100 0.851 5100 200 1.70 1.02 × 104 300 2.55 1.53 × 104 400 3.41 2.04 × 104 500 4.26 2.55 × 104 600 5.11 3.06 × 104 700 5.96 3.57 × 104 800 6.81 4.08 × 104 900 7.66 4.59 × 104 1000 8.51 5.10 × 104 1490 12.7 7.61 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 8.36 0.225 758 9.00 0.242 816 10.0 0.269 907 20.0 0.538 1810 30.0 0.807 2720 40.0 1.08 3630 50.0 1.35 4540 60.0 1.61 5440 70.0 1.88 6350 80.0 2.15 7260 90.0 2.42 8160 100 2.69 9070 200 5.38 1.81 × 104 300 8.07 2.72 × 104 334 9.00 3.03 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 8.36 0.549 1180 9.00 0.591 1280 10.0 0.657 1420 20.0 1.31 2830 30.0 1.97 4250 40.0 2.63 5670 50.0 3.28 7090 60.0 3.94 8500 70.0 4.60 9920 80.0 5.26 1.13 × 104 90.0 5.91 1.28 × 104 100 6.57 1.42 × 104 137 9.00 1.94 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 8.36 1.14 1710 9.00 1.23 1840 10.0 1.36 2040 20.0 2.72 4080 30.0 4.09 6120 40.0 5.45 8160 50.0 6.81 1.02 × 104 60.0 8.17 1.22 × 104 66.1 9.00 1.35 × 104
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 8.36 2.11 2320 9.00 2.27 2500 10.0 2.52 2780 20.0 5.05 5560 30.0 7.57 8330 35.7 9.00 9910
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 8.36 3.60 3030 9.00 3.87 3270 10.0 4.31 3630 20.0 8.61 7260 20.9 9.00 7580
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 8.36 5.77 3840 9.00 6.21 4130 10.0 6.90 4590 13.1 9.00 5990
 Aluminum I Beam: 9.00 × 8.361 (9.00 inch tall × 8.361 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 8.36 8.79 4740 8.56 9.00 4850
Additional Information
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Mechanical Engineers Outlook

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