Practice Problem 10-1 | Back | Index | Next |
Given: A plastic meter stick has a cross-section of 8 mm by 24 mm, and Young's modulus of 3.1 GPa. Assume the ends are pinned about all possible buckling axes. Req'd: Determine the critical buckling load P_{cr}. |
Sol'n: From the Euler Buckling Formula, the critical load for a pinned-pinned column is: P_{cr} = (p^{2}EI) / (L^{2}) For this case E = 3.1 GPa and L = 1.0 m. I = (24)(8)^{3}/12 = 1024 mm^{4} Thus: P_{cr} = p^{2}(3.1 GPa)(1024 mm^{4}) / (1.0 m)^{2} = P_{cr} = 317 N |
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