Problem 2: For the shaded area in the figure below, calculate y (cm) (a) the moments of inertia with respect to x and y axes (I, and I,), (b) the product of inertia with respect to x and y axes (,), (c) the moment of inertia with respect to x' axis (I,), which is at an angle 0 = 30° with the horizontal. (d) Also determine the orientation of the principal x(cm) axes of the shaded area. 2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 2: For the shaded area in the figure below, calculate
y (cm)
(a) the moments of inertia with respect to x and y
axes (I, and I,),
(b) the product of inertia with respect to x and y axes
(Iy),
(c) the moment of inertia with respect to x' axis (I,),
which is at an angle 0 = 30° with the horizontal.
(d) Also determine the orientation of the principal
8 = 30°
x(cm)
axes of the shaded area.
Transcribed Image Text:Problem 2: For the shaded area in the figure below, calculate y (cm) (a) the moments of inertia with respect to x and y axes (I, and I,), (b) the product of inertia with respect to x and y axes (Iy), (c) the moment of inertia with respect to x' axis (I,), which is at an angle 0 = 30° with the horizontal. (d) Also determine the orientation of the principal 8 = 30° x(cm) axes of the shaded area.
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