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Determine the moments of inertia and the product of inertia of the shaded area in the figure with respect to new centroidal axes obtained by rotating the x and y axes 30° counterclockwise. Also, determine the maximum and minimum moments of inertia of the area. (Ans. I. =2.12 x 10° mm. . Iy =8.28 x 10° mm Pry = -0.532 x 10° mm) 60 mm -- 60 mm 40 mm 40 mm %3D

Determine the moments of inertia and the product of inertia of the shaded area in the figure with respect to new centroidal axes obtained by rotating the x and y axes 30° counterclockwise. Also, determine the maximum and minimum moments of inertia of the area. (Ans. I. =2.12 x 10° mm. . Iy =8.28 x 10° mm Pry = -0.532 x 10° mm) 60 mm -- 60 mm 40 mm 40 mm %3D

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question

5. Determine the moments of inertia and the product
of inertia of the shaded area in the figure with
respect to new centroidal axes obtained by
rotating the x and y axes 30° counterclockwise.
Also, determine the maximum and minimum
moments of inertia of the area.

Determine the moments of inertia and the product of inertia of the shaded area in the figure with respect to new centroidal axes obtained by rotating the x and y axes 30° counterclockwise. Also, determine the maximum and minimum 60 mm -- 60 mm 40 mm moments of inertia of the area. (Ans. Ik =2.12 x 10° mm*, . ly =8.28 x 10° mm Pxy = -0.532 x 10 mm) 40 mm
Transcribed Image Text:Determine the moments of inertia and the product of inertia of the shaded area in the figure with respect to new centroidal axes obtained by rotating the x and y axes 30° counterclockwise. Also, determine the maximum and minimum 60 mm -- 60 mm 40 mm moments of inertia of the area. (Ans. Ik =2.12 x 10° mm*, . ly =8.28 x 10° mm Pxy = -0.532 x 10 mm) 40 mm
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