Area Moment of Inertia, Mechanical Engineering

Assignment Help:

Area Moment of Inertia

Moment of force about a point is product of the force (F) and perpendicular distance (d) between point and line of action of that is F.d. This moment is also called as 1st moment of force.

If this moment is multiply by perpendicular distance (d) again between point and line of action of the force that is, F.d2.  This quantity is called as moment of moment of force or 2nd moment of force or force moment of inertia. If we take the area instead of force it is called as Area Moment of inertia.

Unit of area moment of inertia (A.d2) = m4

For the rectangular body: M.I. about X-X axis; IGXX  = bd3/12

For the rectangular body: M.I. about Y-Y axis; IGyy  = db3/12

For the circular body: IGXX  = IGyy  =   D4/64

For the hollow circular body: IGXX  = IGyy  =   (D4 - d4)/64


Related Discussions:- Area Moment of Inertia

Enthalpy - thermodynamics, Enthalpy: Sol: The enthalpy is total ener...

Enthalpy: Sol: The enthalpy is total energy of gaseous system. It takes into consideration, internal energy and pressure, volume effect. Thus, it can be defined as follows:

Define specific volume (v) of System, Define Specific Volume (v) It is ...

Define Specific Volume (v) It is illustrated as volume occupied by the unit mass of the system. Its unit is m 3 /kg. Certain volume is reciprocal of density. ν = v/m; m 3 /k

Ductile mid brittle material, Ductile mid brittle material: A mater...

Ductile mid brittle material: A material that can undergo large permanent deformation in tension, that is, it can be drawn into wires is called as ductile. A material which

Determine elongation because of self weight of conical bar, Determine elong...

Determine elongation because of self weight of conical bar: Sol.: Consider conical bar ABC of length L with the diameter d fixed rigidly at AB . Let attention be focuse

Design bulk materials storage, Q. Design Bulk Materials Storage? Consid...

Q. Design Bulk Materials Storage? Consideration shall be given to providing access to safety showers in areas of hazardous bulk material handling and storage. Where bulk handli

What do you mean by centrifugal casting, What do you mean by centrifugal ca...

What do you mean by centrifugal casting ? How are the centrifugal method classified ?

Overall deformation of a component, Q. Overall deformation of a component? ...

Q. Overall deformation of a component? The overall deformation of a component is a function of the applied load, the materials' creep rate, the maximum in-service temperature,

Gear Transmission Systems, Develop a computer program for the “Gear Transmi...

Develop a computer program for the “Gear Transmission Systems” with consideration that each gear designer will have a different view as to what the most important design factors ar

Wedge friction, WEDG E FRICTION: Explain how wedge is used for raisi...

WEDG E FRICTION: Explain how wedge is used for raising heavy loads. Also give principle of it. Sol.: Principle of wedge: A wedge is small piece of material having two

Shape functions , Derive the shape functions N1...N10 for a 10 node triangu...

Derive the shape functions N1...N10 for a 10 node triangular element in terms of area coordinates L 1 , L 2 , L 3 .  Nodes are equally spaced on the edges and node 10 is at the cen

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd