Moment of inertia about an axis perpendicular to the plane of an area is known as

First moment Second moment Polar moment Axial moment

RRB JE ME 61 15Q EMech2 Hindi Diag(Madhu) images Q15

Polar moment of inertia:

Moment of inertia about an axis perpendicular to the plane of an area is known as the polar moment of inertia.

Let Oz be the axis perpendicular to the axis Ox and Oy passing through the origin O.

Moment of inertia of area of plane lamina about Oz axis is given by:

$I_{z z} = \int r^{2} d A = \int (x^{2} + y^{2}) d A = \int x^{2} d A + \int y^{2} d A = I_{x x} + I_{y y}$

The moment of inertia of an area about an axis perpendicular to its plane (polar moment of inertia) at any point O is equal to the sum of moments of inertia about any two mutually perpendicular axes passing through the same point O and lying in the plane of area.

Hint Answer

Previous Question Next Question

🔗

Moment of inertia about an axis perpendicular to the plane of an area is known as

Polar moment

All Chapters — Structural Engineering

Simple Stress and Strain

Stresses in Members

Strain Energy and Resilience

Center of Gravity and Moment of Inertia

Shear Force and Bending Moment

Pure Bending

Shear Stress

Direct and Bending Stress

Slope and Deflection

Indeterminate Beams

Torsion

Plastic and Local Buckling Behaviour of Steel

Cables and Arches

Influence Lines and Approximate Analysis for Statically Determinate Structures

Deflections

Deflections Using Energy Methods

Displacement Method of Analysis: Slope-Deflection Equations

Displacement Method of Analysis: Moment Distribution

Influence line diagram mcqs

Structural engineering important exam questions

Structural engineering important exam questions II

Structural engineering important exam questions III

Plastic Analysis

Structural Engineering Loksewa Questions

Similar Questions