Part -17/ Types of end conditions of columns and defination.

◼️ Types of end conditions of columns:

     In actual practice, there are a number of end conditions, for columns. But, we shall study the Euler's column theory on the following four types of end conditions, which are important from the subject point of view:

1. Both end hinged,
2. Both end fixed,
3. One end is fixed and the other hinged, and 
4. One end is fixed and the other free.

     Now we shall discuss the value of critical load for all the above mentioned type of and conditions of columns one by one.

◼️Columns with both ends hinged:

      Consider a column AB of length l hinged at both of it's ends A and B and carrying a critical load at B. As a result of loading, let the column deflect into a curved from AX1B as shown Fig.

      Now consider any section X, at a distance x from A.

Let           P = Critical load an the column,

                 y = Deflection of the column at X.

:‑  Moment due to the critical load P,

               

◼️Columns with one end fixed and the other free:

◼️Columns with both ends fixed:

◼️Columns with one end fixed and the other hinged:

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