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Consider the following statements for Euler’s equation to find the critical load of a column : 1. Critical load of a column is proportional to the flexural rigidity. 2. Critical load of a column depends upon yield stress. 3. Critical load of a column is inversely proportional to the length of the column. 4. Critical load of a column is inversely proportional to the square of the length of the column. Which of the above statements are correct?

Consider the following statements for Euler’s equation to find the critical load of a column : 1. Critical load of a column is proportional to the flexural rigidity. 2. Critical load of a column depends upon yield stress. 3. Critical load of a column is inversely proportional to the length of the column. 4. Critical load of a column is inversely proportional to the square of the length of the column. Which of the above statements are correct? Correct Answer 1 and 4 only

Explanation:

Euler’s equation

P = (π2E I)/Le2

Where P= Critical load,

E= Modulus of elasticity, I= Moment of inertia

 le= Effective length of the column

Euler’s equation for a critical load of a column depends as follows:

  • The critical load of a column is proportional to the flexural rigidity (EI).
  • The critical load of a column is inversely proportional to the square of the effective length of the column (Le2).
  • The critical load of a column is proportional to the moment of inertia (I).

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