ISRO Mechanical & Aerospace 2008 - Question 78

All ISRO Mechanical & Aerospace papers | ISRO Mechanical & Aerospace 2008

Topic: Strength of Materials

For the case of a slender column of length L and flexural rigidity EI built in at its base and free at the top, the Eulers critical buckling load is

  • A. 4*pi²*EI / L²
  • B. 2*pi²*EI / L²
  • C. pi²*EI / L²
  • D. pi²*EI / 4L^2

Answer: D. pi²*EI / 4L^2

Explanation: Euler buckling load PE = pi²*EI / L_e^2. For a column with one end fixed and the other end free, the effective length L_e = 2L. Therefore, PE = pi²*EI / (2L)^2 = pi²*EI / 4L^2.

| | All questions of ISRO Mechanical & Aerospace 2008