Moment of inertia

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Shafkat Islam ID: 10.01.03.061 Year: 4 th Semester: 2 nd Department of Civil Engineering Ahsanullah University of Science & Technology
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Civil engineering perspective of moment of inertia

Transcript of Moment of inertia

Page 1: Moment of inertia

Shafkat IslamID: 10.01.03.061

Year: 4th Semester: 2nd

Department of Civil Engineering

Ahsanullah University of

Science & Technology

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Course No : CE 416

Course Title : Prestress Concrete Design Sessional

Course Teacher:

Munshi Galib Muktadir

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Moment Of Inertia

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What is Moment of Inertia?

In physics, moment of inertia is a quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body

with the square of its distance from the axis of rotation.

Equation :

m = Sum of the products of the mass

r = Distance from the axis of rotation

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α

𝑟1

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What is Torque or Moment?Torque, moment or moment of force, is the tendency of a

force to rotate an object about an axis.

What is Angular acceleration?Angular acceleration is the rate of change of angular

velocity and is usually denoted by the Greek letter alpha (α).

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Moment of Inertia (Geometrical property of an area)

The moment of inertia of plane area or second moment of inertia is a geometrical property of an area which

reflects how its points are distributed with regard to an arbitrary axis.

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Moment of Inertia of a Plain Area

Area Moment of Inertia

Polar Moment of Inertia

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Area Moment of Inertia

The Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist bending. The larger the Moment of Inertia the less the beam will bend.

The moment of inertia is a geometrical property of a beam and depends on a reference axis. The smallest Moment of Inertia about any axis passes through the centroid.

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==

y is the distance from the x axis to an area dA

x is the distance from the y axis to an area dA

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Polar Moment Of Inertia Moment of Inertia about the z axis

The Polar Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist torsion. The larger the Polar Moment of Inertia the less the beam will twist.

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=+) dA

y is the distance from the x axis to an area dA

x is the distance from the y axis to an area dA

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Thank You for

Yours Patience