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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 Pcr. |
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Sol'n: From the Euler Buckling Formula, the critical load for a pinned-pinned column is: Pcr = (p2EI) / (L2) For this case E = 3.1 GPa and L = 1.0 m. I = (24)(8)3/12 = 1024 mm4 Thus: Pcr = p2(3.1 GPa)(1024 mm4) / (1.0 m)2 = Pcr = 317 N |
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