The thin plate shown in the figure below has densityp and thickness t. Calculate product of inertia Ipy (in slug.in2) about O assuming pt = 1 slug/in2. Given LA =6.2 in and LB = 3.0 in. x and y are the axis in the plane of the plate with x towards the right and y towards up. 1 in. 1 in. Note: Split the thin plate into two rectangular plates whose center of mass, moments of inertia and products of inertia about the CM of the rectangular plates is known. The ma of each plate is equal to the area of the plate (since pt = 0). Furthermore, note that the products of inertia of each of the two thin rectangular plates about their center of mass are zero because of three axis of symmetry.

The thin plate shown in the figure below has densityp and thickness t. Calculate product of inertia Ipy (in slug.in2) about O assuming pt = 1 slug/in2. Given LA =6.2 in and LB = 3.0 in. x and y are the axis in the plane of the plate with x towards the right and y towards up. 1 in. 1 in. Note: Split the thin plate into two rectangular plates whose center of mass, moments of inertia and products of inertia about the CM of the rectangular plates is known. The ma of each plate is equal to the area of the plate (since pt = 0). Furthermore, note that the products of inertia of each of the two thin rectangular plates about their center of mass are zero because of three axis of symmetry.

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

The thin plate shown in the figure below has density pand thickness t. Calculate product of inertia Imy (in slug.in2) about O assuming pt = 1 slug/in?. Given LA = 6.2 in and
LB =3.0 in. x and y are the axis in the plane of the plate with x towards the right and y towards up.
1 in.
LA
1 in.
Note: Split the thin plate into two rectangular plates whose center of mass, moments of inertia and products of inertia about the CM of the rectangular plates is known. The mass
of each plate is equal to the area of the plate (since pt = 0). Furthermore, note that the products of inertia of each of the two thin rectangular plates about their center of mass
are zero because of three axis of symmetry.

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