What is the physical meaning of the area moment of inertia?
Area moment of inertia is a measure of the flexural stiffness of a beam. It is in essence a measure of the resistance offered by a beam to bending deflections. It is material independent, so you can say it is the capacity of a cross-section to resist applied bending.
What does physical area mean?
Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.
What is product of inertia of an area?
The product of inertia of area A relative to the indicated XY rectangular axes is IXY = ∫ xy dA (see illustration). The product of inertia of the mass contained in volume V relative to the XY axes is IXY = ∫ xyρ dV—similarly for IYZ and IZX.
What is moment of inertia class 9?
Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.
What is moment of inertia in simple words?
Definition of moment of inertia : a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the element’s distance from the axis.
What do you mean by principal moment of inertia and product of inertia?
The moment of inertia of a figure (area or mass) about a line is the sum of the products formed by multiplying the magnitude of each element (of area or of mass) by the square of its distance from the line. The moment of inertia of a figure is the sum of moments of inertia of its parts.
What is moment of inertia of ring?
The moment of inertia of a ring about of its diameter is given by Idia=I=21MR2 where R= radius of ring. Here, the distance between the tangent and the diameter is R.
What is moment of inertia in class 11th?
Moment of inertia (I) is analogue of mass in rotational motion. Moment of inertia about a given axis of rotation resists a change in its rotational motion; it can be regarded as a measure of rotational inertia of the body. The position and orientation of the axis of rotation.