Question

statics help( please show work so i can understand)

Determine the moment of inertia, Ix (not x) and ly of the cross-sectional area of the T-beam shown below. 150 mm SO mm 150 mm 250 mm 25 mm 25 mm

Answer 1

150mm 150mm h, = 50m 70- 17 d275 mm h=250man [125mm =d2 4 x 25 mm Using parallel axis I: Area of individual part - 12% theorem IL + Ád21 distance between centroid about centroid of individual part 1. & aris about which individual part I to be found the 1x = I, + I I, 3 Ii + A, 0,2 = 1 / 2 , 3 + A,d,? = 1 (300) (50)3 + (300X 50) (275)? Is = 11.375 X108 mmt Iz = I + Azda Iz = + (50)(250) + (250X50) x (125)? I2 = 2.60416667 X108 mmt [ Ir = 13.97916667 X108mmel Langi Iy = I+ I Ij = Ź h, b?. = (50) (30093 Ij = 1.125 X108 mm Ij = ho = pź (250) (5073 Iź = 2604 166.67 mmt l' ly = 10151041 667 x 108 mmt