# Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 2)

2.

A vertical column has two moments of inertia (i.e.

*I*and_{xx}*I*). The column will tend to buckle in the direction of the_{yy}Discussion:

41 comments Page 1 of 5.
AAYUSH NARWAY said:
2 years ago

@All.

Consider a rectangular cross-section. Length along x and width along y(Length> Width). Draw you will see it will bend in the Y direction. Since it is thin that way. And moment of inertia in max in that direction.

Consider a rectangular cross-section. Length along x and width along y(Length> Width). Draw you will see it will bend in the Y direction. Since it is thin that way. And moment of inertia in max in that direction.

Kiran said:
3 years ago

Moment of inertia is m^4.

Mpv ramesh said:
3 years ago

A column will tend to buckle in xx, yy, is minimum MOI because the moment of inertia is the same about in xx and yy directions. When MOI is different in x-axis and y-axis then the MOI MAXIMUM.

Hit man said:
3 years ago

Moment of inertia generally means the inertia due to movement.

If the moment of inertia is less the force required to change its state of rest will be less.

So the direction with less moment of inertia is easy to buckle.

If the moment of inertia is less the force required to change its state of rest will be less.

So the direction with less moment of inertia is easy to buckle.

Keshav said:
4 years ago

It is easy to understand. Say which column will be easy to bend ? Where inertia is less.

Manien93@gmail.com said:
5 years ago

Buckling:

Sudden failure of column in lateral direction is called Buckling. It occurs when the Euler's critical load (n*pi^2*E*I)/L^2 is less than allowable compression load.

Moment of inertia.

Tendency to resist angular acceleration.

So from above two definition it is clear that when moment of inertia is low , then the column is more vulnerable to buckling as it couldn't resist much of lateral movement. Answer D. clear ;)

Sudden failure of column in lateral direction is called Buckling. It occurs when the Euler's critical load (n*pi^2*E*I)/L^2 is less than allowable compression load.

Moment of inertia.

Tendency to resist angular acceleration.

So from above two definition it is clear that when moment of inertia is low , then the column is more vulnerable to buckling as it couldn't resist much of lateral movement. Answer D. clear ;)

Sandeeprevoju said:
6 years ago

According to Euler's formula, Critical load that can be applied for bucking to occur is (n*pi^2*E*I)/L^2.

The Critical load is proportional to Moment of inertia. So buckling occurs easily on low Moment of inertia side.

The Critical load is proportional to Moment of inertia. So buckling occurs easily on low Moment of inertia side.

Shanty said:
6 years ago

Why we must take the least second moment of inertia in calculating value of radius of gyration?

Vijay said:
6 years ago

Can anyone say the difference between bending & buckling?

Srikanthbr said:
6 years ago

Buckling means rotating of any object by some angle about an axis. Eg. In crane, you may have seen a hook which lifts the load.

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