The shaded surface shown has moment of inertia about a centroidal axis always of 195.75 cm4 no matter how the axis is oriented. Determine: a) dimension "a" b) Ix and Iy c) orientation of the u axis with respect to which the moment of inertia will be the maximum (angle α(alpha)) and how much will Imax? (need free body diagrams)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The shaded surface shown has moment of inertia about a centroidal axis always of
195.75 cm4
no matter how the axis is oriented. Determine:
a) dimension "a"
b) Ix and Iy
c) orientation of the u axis with respect to which the moment of inertia will be the maximum (angle α(alpha)) and how much will
Imax?

(need free body diagrams)

 

y
at-a-t-a-
Rectángulo
I = bh3
Iy = bh
I =
la
%3D
12
a
bh3
la
Jc = bh(b² + h²)
a
Transcribed Image Text:y at-a-t-a- Rectángulo I = bh3 Iy = bh I = la %3D 12 a bh3 la Jc = bh(b² + h²) a
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