Question

6- The beam cross-section shown below is composed of a flat plate bonded to an angel section. The Young's moduli are indicated. The rounded fillet on the inside of the juncture of the two legs has been ignored, and the rounded tips of the two legs have been squared off to facilitate the calculation. Find the modulus weighted centroid of the cross-section and calculate lr and ly

Answer 1

the picture is not clear, hence i have assumed

X axis = horizontal

Y axis= vertical.

all values are taken as per the visible picture deciphered.

티을6' 7t E. I E=Eg 3t Vi'sible preture,

moment and product of inerti'a about The can ean'ly the M.W centroid be calculated alirecty. ΣΕ EE)m+e*a]; [ Fxse (E)²A Igxrx

Ina = (1i5)[1et) + (.se3° C10 e?)] 12 +(1) [(3t", +(0.sė)? (8e?)] + G3+s (8€?)] 12 Ixx 1S। +१ in the uni't of t' are cohire the uni' ts

of all rectamgles. and in Hhe Cos e Ing hen ce, t (-3+) Ct) (8t?)

hente, Ixy -33€4