Engineering Board Exam Reviewer · Strength of Materials · hard

A steel column (E = 200 GPa), fixed at both ends, has a length of 4 m and a least moment of inertia of 8 × 106 mm4. What is its Euler critical buckling load?

  1. 986.96
  2. 1973.92
  3. 7895.68
  4. 3947.84

Answer

D. 3947.84

Solution

For fixed-fixed ends the effective length is Le = 0.5L = 2000 mm. Pcr = π 2EI/Le2 = π 2(200,000)(8000000)/(2000)2 = 3947.84 kN.

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