Question

(1 point) A beam has the following cross-section: I Click on the image to enlarge where b = 6 inches, h = 6 inches, and t = 1 inches. Determine the moment of inertia. in4 11

Answer 1

b ㅠ t b = bluches t=1 inches h t h = 6inches b the moment of interea of I selbon can be found it total area drited into three smaller ones A, B,C fined area may be countered as the additine Counbination of AtBtc. therefore, the moment of incutid ly of the section, relablone to Centroidal x-s anys 663 6-t) (h-2t) 3 is Ix = 12 12 x 1674 3 6 1709 . Ix 3 =/08- and - 3ering et (67)5 (62) 80-81.33 K3 Ix = 81033 inches the moment fuerehia Iy of the I seebon relative to controidal yy aseis, is found by Ch-24) t t og 3 3 g tb - Iy 12 12 w 4 +36=36033 { 2x 1x6 (6-2) 12 12 61 Iy = 36.33 inchet anis. I=Ixil +Inc how polar moment of Inteurs a about ze I= Ise tły = 863143633 = 117.66 Inekest