Mechanical Engineering - Strength of Materials - Discussion

Option C should be the answer C because buckling load is proportional to moment of inertia.

Buckling is sudden sideways failure of a structure subjected to high compressive stress.

It occurs due to bifurcation (small change in parameter causes sudden change in behavior).

Moment of inertia is tendency of a body to resist angular acceleration. Buckling means A body leading towards a failure mode. Maximum moment of inertia resits this buckling because it is its tendency. So minimum moment of inertia only leads to buckling.

Buckling and bending are similar in that they both involve bending moments. In bending these moments are substantially independent of the resulting deflections, whereas in buckling the moments and deflections are mutually inter-dependent. So moments, deflections and stresses are not proportional to loads.

What will be the basic difference between buckling and bending?

Buckling occur due to vertical load is applied on the component when it is in horizontal position.

Buckling simply is the bending that occurs due to compression.

Buckling occurs with least radius of gyration hence option D is the correct.

You can say in simple words the moment of inertia is inversely proportional to bending stress.

Beam will be buckle with respect to axis which having least moment of inertia.

What is buckling?