Engineering Board Exam Reviewer · Strength of Materials · hard
A steel column (E = 200 GPa), fixed at its base and free at the top, 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
- 236.87
- 118.44
- 473.74
Answer
B. 236.87
Solution
For fixed-free ends the effective length is Le = 2L = 10000 mm. Pcr = π 2EI/Le2 = π 2(200,000)(12000000)/(10000)2 = 236.87 kN.
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