Engineering Board Exam Reviewer · Strength of Materials · hard
A steel column (E = 200 GPa), fixed at both ends, has a length of 5 m and a least moment of inertia of 12 × 106 mm4. What is its Euler critical buckling load?
- 947.48
- 1894.96
- 3789.93
- 7579.86
Answer
C. 3789.93
Solution
For fixed-fixed ends the effective length is Le = 0.5L = 2500 mm. Pcr = π 2EI/Le2 = π 2(200,000)(12000000)/(2500)2 = 3789.93 kN.
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