explain all the terms used in the above equation and all the terms being used in

Question

explain all the terms used in the above equation and all the terms being used in the table

Medium Column: A column for which the slenderness ratio lies between 32 and 120 is called a medium column. Long Column: A column for which the slenderness ratio is more than 120 called a long column Safe load It is the load under which the column will not buckle Euler's Theory of Column Bucklin The following assumptions are made in this theory: 1. The column is initially straight and the applied load is truly axial 2. The material of the column is homogeneous, linear and isotropic. 3. The length of the column is very large as compared to the cross-sectional dimensions of the column 4. The cross-section of the column is uniform throughout. 5. The shortening of the column due to axial compression is negligible 6. The self-weight of the column is neglected 7. The ends of the column are frictionless Depending upon the end conditions, there are four types of columns Both ends hinged Both ends fixed One end fixed and other end hinged One end fixed and other end free Where, E-Modulus of elasticity -Moment of Inertia Le KL

Explanation / Answer

1st Part

In the above equation, Pcr= Eulers Critical Load which is longitudinal compression load on column,

Pi is an constant,

E= Modulus of Elasticity of Column Material,

I = Minimum area moment of inertia of the cross section of the column,

Le= Effective length of the column,

L = unsupported length of column,

K = column effective length factor which depends on end boundary conditions

2nd Part

Column dimension, B= Width of the column,H = Height of the column, L = Length of the Column,

Le= Effective length of the column,

I=minimum area moment of inertia of the cross section of the column

Pcr= Eulers Critical Load which is longitudinal compression load on column,

K = column effective length factor which depends on end boundary conditions.

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