Mechanical Engineering - Strength of Materials - Discussion

The eccentricity means a deviation of application of load on a member from the axis of the shaft.

Mainly we will use eccentricity condition in columns, as we know that columns are made up of brittle material, brittle materials are weak in tension and compression. As we applied eccentric load on the column member, it will induce both tension and compression. So there is a chance of failing of column in tension. In order to prevent the column from failing in tension, the eccentricity should be designed on the basis of free tension condition.

In mathematics, the eccentricity, denoted e or, is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular. In particular, the eccentricity of a circle is zero.

(bukling condition means failure of the columnn due to sudden failure of the compresssive load) columns are expereince the compressive strees maximum when compare to the tension condition. Tension condition is negligible.

For no tension condition e<= (2k^2)/d; k = radius of gyration, d = depth of section, e = eccentricity. It is the case of combined direct & bending stresses.

Eccentricity:

The degree of displacement of the geometric centre of a rotating part from the true centre, esp of the axis of rotation of a wheel or shaft.

How can a brittle material undergo both tension and compression under eccentric loading?

@Somesh.

Due to ecentricity one side of neutral axis tension other side compression.

What is the condition for no tension in the section in terms of eccentricity?

What is relation between eccentricity and tension condition?

I thing answer is compressive. How can tensile stress?