Figure < 1 of! > Si Provide Fe (3) 2of3 Part A Locate the centroid y...

Question

Question

Answer 1

Answer #1

y = A1y1 + A2y2 / (A1+A2)

= h x 2b x h/2 - (h-d)(2b-2a) x (d+(h-d)/2) / h x 2b - (h-d)(2b-2a)

= 44 x 2x27 x 44/2 - (44-23)(2x27-2x8) x (23+(44-23)/2) / 44x2x27 - (44-23)(2x27-2x8)

= 25539 / 1578

= 16.18 mm

MI = (I1 + A1r1^2) - (I2 + A2r2^2)

= [(2b x h^3 / 12) + 2bh x (h/2-y)^2] - [(2b-2a)(h-d)^3 / 12 + (2b-2a)(h-d)(y-d-(h-d)/2)^2]

= [383328+80480.82] - [29326.5 + 193788.63]

= 463808.82 - 223115.13

= 240693.69 mm^4

Answer 2

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