Question

Problem 1 Determine the moment of inertia about the centroidal x-axis for the area shown. Each square = 3 cm x 3 cm. Prepare the required tables for your calculations.

Answer 1

وال) ( (2120 ( 32 ريه) (4) (9) وفي ( 2- ۹۰ ۶۱ ۶ 9 = ه| ! - لا | 24 - 22 ولاد 3 A = 123 18:21 4 = 2x (2 -144 A; = x 128 12- 21 20x25 360 | Me 3 - 3 - : 4524 - 113 :| 4x1 +5 :كة r$) =كة = A -20 ویو * 30 = 5 1447ء 12 x 11 :ى4x12 * " (200 که 249 دي ) + (444) + (ع6x2 =ة 1x32 + 20x36 ) + ( 20 - 17452 - 4 ( 26 +44 2+ 260 + 452-4

sł= 18.9 Y = COX216) + (24x149) + 34x2 2) + (36x360)+(24.9x113.) 216+144 + 72 + 360 + 113.1 7=23-95 2x 13 @4) =(18-4,23-95) Ix = 13x18°+ (1316) (93-95-95 + 13x13? + (132127 x 63-95-24) + + &#12412)*(03-95-38) + 30x120 + (2010 - ) *223-95 -36) + Pin abast + free 13-17-83-15-24-]" 1 Txx ~ 124 ,5l 5% Cof 1