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jeffery-williams
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Bending
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Element A y Ay x Ax Icx d1mm^2 mm mm^3 mm mm^3 mm^4
1 30 1 30 7.5 225 10 3.0178572 26 7.5 195 1 26 366.1667 -3.482143
Centroid 4.017857 1.115556
Ixy=A(xc)(yc) (since Ixy about centroid is 0 for a rectangle)225 By parallel axis theorem195420 mm^4
Element A y Ay x Ax Icx d1mm^2 mm mm^3 mm mm^3 mm^4
1 30 1 30 7.5 225 10 2.0645162 16 5 80 1 16 85.33333 -1.9354843 16 5 80 14 224 85.33333 -1.935484
Centroid 3.064516 7.5
Ixy=A(xc)(yc) (since Ixy about centroid is 0 for a rectangle)225 By parallel axis theorem
8011201200 mm^4
Angledx y964.6488 -4201794.348 420
Ad1^2 Iaa Icy d2 Ad2^2 Ibb
273.2239 283.2239 562.5 -6.384444 1222.834 1785.334315.2583 681.425 8.666667 0.115556 0.34718 9.013847
Iaa 964.6488 Ibb 1794.348
(since Ixy about centroid is 0 for a rectangle)
Ad1^2 Iaa Icy d2 Ad2^2 Ibb
127.8668 137.8668 562.5 0 0 562.559.93757 145.2709 8.666667 6.5 676 684.666759.93757 145.2709 8.666667 -6.5 676 684.6667
Iaa 428.4086 Ibb 1247.167
(since Ixy about centroid is 0 for a rectangle)
U-beam428.4086 -12001247.167 1200
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