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Element A y Ay x Ax Icx d1 mm^2 mm mm^3 mm mm^3 mm^4 1 30 1 30 7.5 225 10 3.017857 2 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 theorem 195 420 mm^4 Element A y Ay x Ax Icx d1 mm^2 mm mm^3 mm mm^3 mm^4 1 30 1 30 7.5 225 10 2.064516 2 16 5 80 1 16 85.33333 -1.935484 3 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 225 By parallel axis theorem 80 1120 1200 mm^4 Angled x y 964.6488 -420 1794.348 420

Theoretical Unsym Bending

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Bending

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Page 1: Theoretical Unsym Bending

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

Page 2: Theoretical Unsym Bending

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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Page 3: Theoretical Unsym Bending

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