Question

Statics problem

Determine the moments of inertia Tx and Ty of the area shown about vertical and horizontal axes running through the centroid of the area. Consider w= 2.5 in. -3 in.3 in.3 in. → 6 in. w А B The moment of inertia It is in 4. The moment of inertia Ty is in4

Answer 1

This inverted T section, we will split this in 2 rectangle and then we will find centroid of the inverted T section.

Then we will find moment of inertia about horizontal and vertical axis.

Y 3inch Kc 3 inch 3 inch chok G X d. 2.5 inch A B 9. Centorid of respect to 7 body with posht 'o' SI. ND. Area 1. 5.5 18 2. 1.25 22.5 (18*5.5) + (22.5 X 1.25) Ý - A,7, + A₂% A+ A2 18+ 22.5 Y = 3.1388 inch from 'o' 3 .. Tayya 2.589 6 x 3 12 ina 12 Ty 165.375 inch nen"

Now for Tood By Parallel axis theorem. 3 9x2.53 Ixx = + (22.5 * (3-1180 - 1.25141 ( 12 3 3 x 6 (18 x (5.5 - 3.1388) 2 12 Ixx = 24 6. 344 inch bo And