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

Thormodynamics, define thormodynamics and its laws

define thormodynamics and its laws

Copper-beryllium alloys, Copper-Beryllium Alloys Copper-beryllium allo...

Copper-Beryllium Alloys Copper-beryllium alloys comprise between 0.6 to 2% Be and 0.2 to 2.5% Cobalt. Such alloys can be precipitation hardened and cold worked to improve a te

Biaxial tension-compression state, Given:  A brittle material has an ulti...

Given:  A brittle material has an ultimate tensile strength of 300 MPa and an ultimate compressive strength of  -1000MPa.  Assume that failure can be represented by the Modified

Theory of machines, what is coriolis component of acceleration?

what is coriolis component of acceleration?

Thermal Stresses in Tapered Section, A rigidly fixed circular bar 1.75mm lo...

A rigidly fixed circular bar 1.75mm long uniformly tapers from 125mm dia. at 1 end to 100mm dia. at other end. If the max. stress in the bar is not to exceed 108MPa. Find the tempe

Show average system time, A bank has only one typist since the typing work ...

A bank has only one typist since the typing work varies in length (Number of pages to be typed). The typing rate is randomly distributed approximating a Poisson Distribution with m

Pneumatic circuit design, 3. Design and draw a circuit using the cascade sy...

3. Design and draw a circuit using the cascade system to operate two cylinders (A and B) which, on the operation of a start valve, produces the sequence A – B + B – A+. The cylinde

Kinetics of a particle, Kinetics of a Particle: We have seen the effec...

Kinetics of a Particle: We have seen the effect of forces on a particle. The laws of motion for a particle are extended to include a system of particles or a rigid body. It is

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